Answer:
90gr strawberry jelly
6 sponge fingers
315ml custard
135gr tinned fruit
Step-by-step explanation:
120/4 = 30 * 3 = 90
8/4 = 2 * 3 = 6
420/4 = 105 * 3 = 315
180/4 = 45 * 3 = 135
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
Need help ASAP! Due in 2 hours!
m<KNL=21.2
m<KJL=32.1
m<MLK=4.2
m<JKM=4.32
m<JML=81.21
Okay have posted the next one.
Answer: 1 and 3
Step-by-step explanation:
What is the answer
Answer:
V = IR12 voltsStep-by-step explanation:
Starting with ...
I = V/R
Multiply by R to find V:
IR = V
The equation is ...
V = I·R
__
Using the given values for I and R, we have ...
V = (2)(6)
V = 12 . . . required voltage (volts)
A tanker truck fills the gas station’s reservoir at the rate of 12 1/2 gallons per minute.
If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?
Answer: 2.8 minutes
Step-by-step explanation:
If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.
35 ÷ 12.5 = 2.8 minutes
Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.
hope this helps!
Answer:
A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.
answer:
2.4
hours
Step-by-step explanation:
Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=
−
16
and
b
=
26
.
Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.
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A student solves the equation *3-3x+5 using the steps in the table.
Original equation
Cross multiplication
Distributive property
Subtraction property of equality
x+3_3x+5
2
5(x+3) 2(3x+5)
5x+15=2(3x+5)
5=x
Which method of solving for the variable could be used instead of cross multiplication?
O distributing x + 3 and then 3x + 5 to both sides of the equation
distributing x-3 and then 3x-5 to both sides of the equation
using the multiplication property of equality to multiply both sides of the equation by 10
using the multiplication property of equality to multiply both sides of the equation by 10
The method that could be used instead of cross multiplication to solve the equation *3-3x+5 is distributing x + 3 and then 3x + 5 to both sides of the equation.
Instead of using cross multiplication, one alternative method to solve the equation *3-3x+5 is to distribute x + 3 and then 3x + 5 to both sides of the equation.
To explain this method, let's consider the equation step by step:
Original equation: *3-3x+5
Cross multiplication: 5(x+3) = 2(3x+5)
Distributive property: 5x + 15 = 6x + 10
Subtraction property of equality: 5x - 6x = 10 - 15
Simplification: -x = -5
Multiplication property of equality: (-1)(-x) = (-1)(-5)
Simplification: x = 5
Now, instead of cross multiplication, we can distribute x + 3 and then 3x + 5 to both sides of the equation:
Original equation: *3-3x+5
Distributive property: 5(x + 3) = 2(3x + 5)
Expanding the expressions inside the parentheses:
5x + 15 = 6x + 10
Now we can proceed with solving the equation as before:
Subtraction property of equality: 5x - 6x = 10 - 15
Simplification: -x = -5
Multiplication property of equality: (-1)(-x) = (-1)(-5)
Simplification: x = 5
By distributing x + 3 and 3x + 5 to both sides of the equation, we obtain the same result as the original method. This alternative method is another way to solve the equation without using cross multiplication.
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What are the two solutions to the absolute value equation |2x+3|=7
Step-by-step explanation: We can solve the equation |2x + 3| = 7 by
first splitting things up into two separate equations.
The first equation will look just like the original problem,
minus the absolute value signs and we have 2x + 3 = 7.
The second equation will look just like the first, only the right
side will be changed to a negative and we have 2x + 3 = -7.
Now solve each equation from here.
In our first equation, subtract 3 from both sides to get 2x = 4.
Then divide both sides by 2 and x = 2.
In our second equation, subtract 2 from both sides to get 2x = -10.
Now, divide both sides by 2 and we have x = -5.
So either x = 2 or x = -5.
Find EF if EM= x^2+25 and MF = 10x
Answer:
x^2 + 10x + 25; (x + 5)^2.
Step-by-step explanation:
When we're talking about line segments, we just have to find the sum of the two parts of the line segment to find the value of the whole. In this case, we have x^2 + 25, and 10x. So, we add them together.
x^2 + 25 + 10x
= x^2 + 10x + 25
Since this can be immediately factored into (x + 5)^2, you have your answer.
Hope this helps!
The graph models the linear relationship between the distance traveled and the amount of time it took to get there. What is the rate of change of the distance traveled with respect to time?
A) 1/4
B) 4
C) 1/5
D) 5
Answer:
D) 5
Step-by-step explanation:
we see that every 4 hours 20 miles are traveled.
so, the rate of change of miles travels over hours is
20/4 = 5/1 = 5
in other words, the speed was 5 mph.
Directions: The triangles below are similar. Solve for X. Please show work
Answer:
x = 20
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
x/35 = 24/42
x = (35 * 24)/42
x = 20
Gasoline Many drivers of cars that can run on regular gas actually buy premium in the belief that they will get better gas mileage. To test that belief, we use 10 cars from a company fleet in which all the cars run on regular gas. Each car is filled first with - either regular or premium gasoline, decided by a coin toss, and the mileage for that tankful is recorded. Then the mileage is recorded again for the same cars for a tankful of the other kind of gasoline. We don't let the drivers know about this experiment. Here are the results (miles per gallon): a) Is there evidence that cars get significantly better fuel economy with premium gasoline? b) How big might that difference be? Check a 90% confidence interval. c) Even if the difference is significant, why might the company choose to stick with regular gasoline? d) Suppose you had done a "bad thing." (We're sure you didn't.) Suppose you had mistakenly treated these data as two independent samples instead of matched pairs. What would the significance test have found? Carefully explain why the results are so different.
a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.
In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.
To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.
The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.
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ECON-304. SOM13=From-STopic94 SDModal with Equifions. Then, perform ell the calculations required by this problem sek Afiter that, anawer 50.15. Mintiot for Coffericennio: - The quantity of coffce demanded, QD, depends on the gice of coffoe, ? , end the grice of tes (asubstitute) P
c
- The quantity of coffee supplied, Qs, depends ca the price of coffic, P, end be price of electricity, R
∗
.
QD=17−3P+2R
t
QS=1+5P−4R
t
I. Assume the price of tea is $2 and the price of electricity is $1. - What is the equation that devcribe the Demand side of the coffee marken - What is the equation that describe the Supply side of the coffee maken? - What is the cquilibrium Price of coffee? - What is the equilibriam Quantity of coffee notd and guciuned? II. Assume tea is given for free. The price of electricity ramains $1. - What would happen in the market for Colire? (A chorge in Deanal, a chage in Supply, a change in Quantily Demanded, as a change in Querthy Sopplied?) - What would happen to the Price of Coffee? (focrense, decretse oc samened the same?) - What wowld hagpen the quenting of coffoe sold? (increas, decrenss, ar rensined the same?)
The equation that describes the Demand side of the coffee market is QD = 17 - 3P + 4. The equation that describes the Supply side of the coffee market is QS = 1 + 5P - 4R .
To find the equilibrium price of coffee, we will equate both demand and supply functions:
17 - 3P + 2R = 1 + 5P - 4R 8P
= 16 P
= $2.
The equilibrium price of coffee is $2. To find the equilibrium quantity of coffee, we will substitute P in either demand or supply function: QD = 17 - 3($2) + 2($1)
= 11 QS
= 1 + 5($2) - 4($1)
= 7
The equilibrium quantity of coffee demanded and supplied is 7.
When tea is given for free, the demand curve shifts to the left, i.e., there is a decrease in the quantity demanded of coffee. So, there will be a change in Quantity Demanded. Since the demand for coffee will decrease while the supply remains constant, the price of coffee will decrease. The quantity of coffee sold will decrease. Hence, the answer to the above question will be decreased.
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A NIKE T-SHIRT WAS REDUCED FROM $60 TO $45. BY WHAT PERCENT WAS THE T-SHIRT REDUCED?
20%
30%
15%
25%
Answer:
25%
Step-by-step explanation:
the formula is:
1-(new price/old price), which =
1-(45/60)=
1-3/4=
4/4-3/4=
1/4=
.25 or 25%
Hope this helps! :)
s = 112° find RTS
I need help with this I have an assignment due in two hours and I still cant figure it out
Answer:
34
Step-by-step explanation:
*A triangle has an interior angle of 180 degrees
We know that one of the angle is 112 degree
180 - 112 = 68 degrees
We also know that the triangle is an isosceles triangle which means both sides and both angles are the same ( we can determine that it's an isosceles because of the two lines)
68 / 2 = 34
R = 34 degrees
T = 34 degrees
S = 112 degrees
Jose is starting a word-processing business out of his home. He plans to charge $15 per hour. He anticipates his monthly expenses to be $490 for equipment rental, $45 for materials, and $65 for phone usage. What is the minimum number of hours he must work in a month to make a profit of at least $600?
Answer:
80
Step-by-step explanation:
profit = revenue - expenses
revenue = $15 per hour = $15 * number of hours (n) = $15 * n
expenses = $490 + $45 + $65 = $600
we want profit to be 600 or more
15 * n - 600 = profit
profit ≥ 600
15 * n - 600 ≥ 600
add 600 to both sides to isolate the variable and its coefficient
15 * n ≥ 1200
divide both sides by 15 to isolate the variable
n ≥ 80
Jose must therefore work 80 or more hours, for a minimum of 80
(Zoom in to see the problem)
IM MARKING BRAINLIEST!!!!!
Answer:
Mark points at:
(0,1)
(1,5)
(2,9)
Then draw a line on the points.
a +-21 = -38
help me please
Answer:
A= -17
Step-by-step explanation:
A +-21 = -38
+21 +21
-38+21= -17
A= -17
Answer:
a = -17
Step-by-step explanation:
To solve this, we need to get A alone:
A + -21 = -38
—- +21- +21
Remember, when you do something to one side, you need to do the same thing to the other side.
Now:
A = -17!
To check:
-17 + -21 = -38
Therefore, A = -17
solve the system of equation -3x + y equals to 7 x - 8 y equals 1
-3x + y = 2 Equation (1)
7x -8y = 1 Equation (2)
Let us solve the system of equations with the elimination method.
-24x + 8y = 16 (Multiplying the equation 1 by 8)
+ 7x - 8y = 1 (Adding the equation 2 to the last form of the equation 1)
------------------
-17x = 17 (Adding like terms)
x = 17/(-17) ( Dividing by -17 on both sides of the equation)
x= -1
Replacing x=-1 in the equation 1,we have:
-3(-1) + y = 2
3 + y = 2 (Multiplying and using the sign rules)
y = 2- 3 (Subtracting 3 from both sides of the equation)
y = -1 (Subtracting)
The answers are x=-1 and y=-1
Bob has a total of 90 dimes and quarters. If the total value of the coins is $18.45. How many are quarters?
Bob has 63 quarters, based on the given information that he has a total of 90 dimes and quarters with a total value of $18.45.
Let's assume Bob has 'x' quarters. Since the total number of dimes and quarters is 90, we can represent the number of dimes as 90 - x.
The value of each quarter is $0.25, and the value of each dime is $0.10. The total value of the coins is given as $18.45.
We can set up the equation:
0.25x + 0.10(90 - x) = 18.45
Simplifying the equation:
0.25x + 9 - 0.10x = 18.45
0.15x + 9 = 18.45
0.15x = 9.45
x = 9.45 / 0.15
x ≈ 63
Therefore, Bob has approximately 63 quarters.
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The probability a d-link network server is down is 0.10. if you have three independent servers, what is the probability that at least one of them is operational?
The probability that at least one of them is operational is 0.999
Probability:
Probability means the possibility of happening the particular event. So, it can be written as the fraction of possible event by the total number of event.
Given,
The probability a D-Link network server is down is 0.10.
Here we need to find if you have three independent servers, what is the probability that at least one of them is operational.
Let D be an event that a D-Link network server is down.
It is given that the probability that a D-Link network server is down is
=> P(D) = 0.10
The number of independent servers
=> (n) = 3
The probability that none of the servers is working is
=>P(None) = P(D) x P(D) x P(D)
=> P(None) = 0.10 x 0.10 x 0.10
=> P(None) = 0.001
The probability that at least one of them is operational is given as
=> 1 - P(None)
=> 1 - 0.001
=> 0.999
Therefore, the probability that at least one of them is operational is 0.999.
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What is the probability that a zip code randomly generated from among the digits 3,7,3,9,5,7,2 , and 3 is the number 39372 ?
The probability of randomly generating the zip code 39372 is:
1 / 35 ≈ 0.0286 or 2.86%
To find the probability that a randomly generated zip code is the number 39372, we need to determine the number of favorable outcomes (one) divided by the total number of possible outcomes.
In this case, the total number of possible outcomes is the number of permutations of the digits 3, 7, 3, 9, 5, 7, 2, and 3.
To calculate this, we use the formula for permutations with repeated elements:
n! / (n1! * n2! * ... * nk!)
Where n is the total number of elements, and n1, n2, ..., nk are the counts of each repeated element.
In this case, n = 7, n1 = 3 (for the repeated digit 3), and n2 = 2 (for the repeated digit 7).
So, the total number of possible outcomes is:
7! / (3! * 2!) = 7 * 6 * 5 * 4 * 3 * 2 * 1 / (3 * 2 * 1 * 2 * 1) = 35
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What D
Evaluate each expression for the giver
3x² when x is 10
Answer:
3x²
= 3(10)²
= 3(100)
= 300
Step-by-step explanation:
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Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.
The midpoint has coordinates (19,19) as per the midpoint formula.
The statement is false.
The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).
To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:
(x1 + x2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.
To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:
(y1 + y2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.
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A car salesperson sells a used car for $9,000 and earns 7, of the sale
price as commission. How many dollars does the salesperson earn in
commission?
Step-by-step explanation:
commision = 7% of $9000
commision = 7/100 * $9000
commision = $630
The point C(-2, -4) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, C′?
Answer:
(2,4)
Step-by-step explanation:
Question A2 A sample of 41 steel plants produce a mean of 670 tonnes of steel each day, with sample standard deviation of 103.2. a) Create a 95% confidence interval for the population mean. (3 marks) b) What is the interpretation of the confidence interval? What factors could result in an increase in the range of the confidence interval found in a)? (3 marks)
Factors that could result in an increase in the range of the confidence interval include a larger sample standard deviation, a smaller sample size, or a lower confidence level
(a) To create a 95% confidence interval for the population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))
Since the sample size is 41, the sample mean is 670 tonnes, and the sample standard deviation is 103.2, we need to determine the critical value for a 95% confidence level. The critical value can be obtained from the t-distribution table or using statistical software. Assuming a t-distribution is appropriate for this sample size, the critical value for a 95% confidence level with 40 degrees of freedom is approximately 2.021.
Substituting the values into the formula, the confidence interval is:
Confidence Interval = 670 ± (2.021 * (103.2 / sqrt(41)))
(b) The interpretation of the confidence interval is that we are 95% confident that the true population mean falls within the calculated interval. In this case, the confidence interval represents a range of values around the sample mean (670 tonnes) within which the population mean is likely to be located.
A larger sample standard deviation indicates greater variability in the data, which leads to a wider range of possible values for the population mean. A smaller sample size reduces the precision of the estimate, resulting in a wider confidence interval. Similarly, a lower confidence level, such as 90% instead of 95%, would also widen the confidence interval to capture a larger range of possible values for the population mean.
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determine the strength and direction of the electric field at the position indicated by the dot in (figure 1). assume that x -axis is horizontal and points to the right, and y -axis points vertically upward.
Therefore, the strength of the electric field is 18 N/C to the left at the position indicated by the dot.
When we have to determine the strength and direction of the electric field at the position indicated by the dot in (figure 1), we can use the formula \(E = kq/r²\) whereE represents the electric field strength,k represents Coulomb's constant, which is 9 x 10^9 Nm²/C²,q represents the charge,r represents the distance between the charges.The dot lies on the x-axis 4.0 cm from a charge of -8.0 nC. To determine the electric field strength and direction, we need to know the direction of the electric field at the dot that results from the -8.0 nC charge. The electric field would be positive to the left and negative to the right when using Coulomb's law, and it would be positive when the charge is negative.
The electric field, however, is a vector quantity that has both magnitude and direction, and we must consider the forces in both the x and y directions.We have -8.0 nC on the x-axis 4.0 cm from the dot. We'll use the electric field equation to determine the electric field generated by this charge:
\(|E1| = k|q|/r²|E1| = 9 x 10^9 * 8 x 10^-9 / (4 x 10^-2)²|E1| = 18 N/C\) The electric field is negative because the charge is negative, which means it points towards the charge. Since the dot lies to the right of the charge, the electric field points to the left. This can be seen in the following figure: Electric field due to charge QThe electric field due to -8 nC charge at the dot is 18 N/C to the left.
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Help I don"t understand!
Using the compound interest formula, we found that the account with the greater balance after 5 years is yours and after 15 years is the friend's.
What is compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. Compound interest is calculated for an amount based on both the principal and cumulative interest. The primary distinction between compound and simple interest is this. It is the interest that has been calculated using both the principal and the interest that has accrued over the preceding period.
First case
Amount deposited P = $3000
Rate of interest r = 3.8%
Continuous compounding is done.
For continuous compounding,
Amount P(t) after time t is:
\(P(t)=Pe^{rt}\)
After 5 years is:
\(P(5)=Pe^{r5} = 3000 * e^{0.038*5}\) = $3630
After 15 years is:
\(P(15)=Pe^{r15} = 3000 * e^{0.038*15}\) = $5304.80
2nd case
Amount deposited P = $2800
Rate of interest r = 4.5% = 0.045
Compounded monthly.
n = 12
Amount A after time t is:
\(A = P(1 + \frac{r}{n})^{nt}\)
Amount after 5 years
A = \(2800(1 + \frac{0.045}{12})^{12*5}\) = $3505.03
Amount after 15 years
A = \(2800(1 + \frac{0.045}{12})^{12*15}\) = $5492.35
Therefore using the compound interest formula, we found that the account with the greater balance after 5 years is yours and after 15 years is the friend's.
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Which operation is the SECOND Step to solve this equation?
-6+ 5v= -21
PLS HELP
Answer:
C. is the answer
Step-by-step explanation:
got it right on edge 2020