1. Diana ordered 1 5/8 pounds of birdseed for Mango. She also ordered 1 3/4 pounds of treats for her parrot. a. How many pounds of birdseed and treats did she order in all?
Answers
Pounds of birdseed = 1 5/8
Pounds of treats = 1 3/4
To add them, first write them in simple fraction form:
1 5/8 = (1x8+5) / 8 = 13/8
1 3/4 = (1x4+3) /4 = 7/4
\(\frac{13}{8}+\frac{7}{4}\)To add simple fractions both must have the same denominator (the bottom number)
So, we have to multiply 7/4 by 2/2
\(\frac{13}{8}+(\frac{7}{4}\cdot\frac{2}{2})\)\(\frac{13}{8}+\frac{14}{8}\)\(\frac{27}{8}\)Related Questions
Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
Answers
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answers
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
What is the quotient of 552/58
Answers
The quotient of 552/58 is 276/29.
What is the quotient of a number?The quotient of a number is the result or the outcome when you divide two numbers together.
From the given information, the quotient of \(\mathbf{\dfrac{552}{58}}\) is can be determined by dividing both the numerator and the denominator by (2):
i.e.
\(\mathbf{=\dfrac{276}{29}}\)
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Which has a greater volume: two regular cans of soup, each with a
diameter of 7 cm and a height of 11 cm, or one family-size can of
soup, which has a diameter of 10 cm and a height of 11 cm? Explain,
and give your calculations.
Answers
Thus, the volume of one family-size can of soup found to be more than
volume of two regular cans of soup.
Explain about the features of cylinder?In geometry, a cylinder is a tri shape. A cylinder is cylindrical in shape and has a circle-shaped top and bottom. The top as well as bottom are both flat and uniform in size.
Given data:
regular cans of soup
height h = 11 cmradius r = 7/2 = 3.5 cmFamily-size can of soup
height h = 11 cmradius r = 10/2 = 5 cmVolume of cylinder V = π*r²*h
Volume (two regular cans of soup) of cylinder V = 2*π*r²*h
V = 2*3.14*3.5²*11
V (two regular cans of soup) = 846.23 cm³.
Volume ( family-size can of soup) V = π*r²*h
V = 3.14*5²*11
V = 863.5 cm³.
Thus, the volume of one family-size can of soup found to be more than
volume of two regular cans of soup.
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8. What is the value of the expression -9 - (-5)?
-9- (-5)
ол
-9
=
-
Answers
Answer:
-4 is the answers for the question
Step-by-step explanation:
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pls guys help me pls :c
Answers
Answer: A. \(x\geq21\dfrac{2}{3}\) .
Step-by-step explanation:
The given inequation: \(81-1\dfrac{1}{5}x\leq55\)
\(\Rightarrow\ 81-\dfrac{6}{5}x\leq55\)
Multiplying 5 on both the sides, we get
\(5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}\)
Hence, the inequality for x is \(x\geq21\dfrac{2}{3}\) .
So, the correct option is A. \(x\geq21\dfrac{2}{3}\) ..
what are the features of the function g if g(x)= f(x+4) +8
Answers
The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.
Given the function g(x) = f(x + 4) + 8, let's examine its features:
Domain:
The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f. However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.
Range:
Similar to the domain, the range of the function g will depend on the range of the function f.
x-intercept:
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.
0 = f(x + 4) + 8
By subtracting 8 from both sides:
-8 = f(x + 4)
Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.
y-intercept:
The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:
g(0) = f(0 + 4) + 8
g(0) = f(4) + 8
Again, the specific value of f(4) will depend on the behavior of the function f.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
Answers
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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Taye pays $0.06 sales tax on each dollar he spends. If he buys a new bike for $237.00, how much sales tax will Taye pay?
Answers
Answer: $14.22
Step-by-step explanation: 237*0.06
help..............................................................
Answers
Answer:
This will now be ⁴√(7^9)
Step-by-step explanation:
c=4
a=7
b=9
b) Write the number 52100 as a power of 10.
Answers
Answer:
5.21 * 10^4.
Step-by-step explanation:
There are 4 more digits after the 5 so it is:
5.21 * 10^4.
\(52100 = 521 \times {10}^{2} = \\ \)
\(5.21 \times {10}^{2} \times {10}^{2} = 5.21 \times {10}^{4} = \\ \)
\(10 \times {10}^{4} = {10}^{5} \)
A collection of coins is inside a bag. Find the probability of selecting a quarter out of the bag by only removing one coin at a time. Each time you select a coin, you mark
the coin on the tally chart below, and then put the coin back in the bag.
Coin
Number of Coins
cent
6
Inickel
4
dime
10
quarter
12
Answers
Answer:3/8
Step-by-step explanation:
4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Answers
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
5.5 x 10^-8 in standard form
Answers
Step-by-step explanation:
0.000000055
hope it helps you
Your friend Fred claims that his average gym workouttime is at least 150 minutes per day. You pick a randomsample of 10 days and observe that on the days in thesample, Fred’s average workout time was 136 minutes.The standard deviation of workout times in the samplewas 28 minutes. You plan to use the sample results to testFred’s claim. Assume that Fred’s workout times are normally distributed.
Required:
Set up an appropriate hypothesis test to test Fred's claim. Use a significance level of 5%. Should Fred's claim be rejected? Explain.
Answers
Answer:
Step-by-step explanation:
Given that:
population mean = 150
Sample size = 10
Sample mean = 136
Standard deviation = 28
Significance level = 0.05
The null hypothesis:
\(H_o : \mu \ge 150\)
The alternative hypothesis
\(H_a : \mu < 150\)
This is a left-tailed test.
The t-test statistics can be computed as:
\(t = \dfrac{\overline x - \mu}{ \dfrac {s} {\sqrt{n}} }\)
\(t = \dfrac{136 - 150}{ \dfrac {28} {\sqrt{150}} }\)
t = -1.58
The P-value = P(t < -1.58)
Using the t tables
P-value = 0.0743
Decision rule: To reject the null hypothesis if the P-value is lesser than the level of significance.
Conclusion: We fail to reject the null hypothesis; since P-value is greater than (∝). Thus, there is sufficient evidence to support Fred's Claim.
No, we can not reject Fred's claim.
During one month, 4/10 of Lake Okeechobee is covered in a harmful algal bloom. By the next month, Lake Okeechobee is 90% covered. By how many times does the algal bloom increase?
Answers
If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.
In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.
Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:
(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times
Therefore, the algal bloom increased by 2.25 times.
A degree 3 polynomial that has zeros at x = -1, 2; f(-2) > 0 and f(0) < 0Find the missing degree and the possible answer.
Answers
ANSWER and EXPLANATION
The polynomial has a degree of 3. This means that it has 3 roots.
Let the roots of the polynomial be a, b, and c such that:
\((x-a)(x-b)(x-c)=0\)We are given two roots already (-1, 2). This implies that:
\((x+1)(x-2)(x-c)=0\)Expand the equation:
\(\begin{gathered} (x^2-x-2)(x-c)=0_{} \\ \Rightarrow x^3-cx^2-x^2+cx-2x+2c=0 \\ x^3-(c+1)x^2+(c-2)x+2c=0^{} \end{gathered}\)We are given the following conditions:
\(\begin{gathered} f(-2)>0 \\ f(0)<0 \end{gathered}\)Applying the first condition:
\(\begin{gathered} (-2)^3-(c+1)(-2)^2+(c-2)(-2)+2c>0 \\ -8-4c-4-2c+4+2c>0 \\ \Rightarrow-8-4c>0 \\ \Rightarrow4c<-8 \\ c<-2 \end{gathered}\)Applying the second condition:
\(\begin{gathered} (0)^3-(c+1)(0)+(c-2)(0)+2c<0 \\ \Rightarrow2c<0 \\ c<0 \end{gathered}\)Therefore, we have that:
\(\begin{gathered} c<0;c<-2 \\ \Rightarrow c<-2 \end{gathered}\)Therefore, the third root can take any values that are less than -2.
An experiment for which the two-sample independent t test will be employed uses one sample with N = 8 and a second sample with N = 12 to evaluate a new treatment. The t test for this experiment will have how many degrees of freedom?
Answers
The calculated degrees of freedom for the t-test is 18
Calculating the degrees of freedom
The degrees of freedom (df) for an independent t-test with two samples can be calculated using the following formula:
df = (n1 + n2) - 2
Where n1 is the sample size of the first group and n2 is the sample size of the second group.
In this case, the first sample has N = 8 and the second sample has N = 12.
Therefore, the degrees of freedom for the t-test will be:
df = (8 + 12) - 2
df = 18
So the t-test for this experiment will have 18 degrees of freedom.
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Please solve the problems below and follow instructions given.
Answers
What is a Right Angle Triangle?
A Right Angle Triangle is a triangle where one of the angles is equal to 90 degrees.
To calculate the values using SOHCAHTOA
SOHCAHTOA calculate the angles and sides of the right triangle, using trigonometric function sine, cosine, and tangent. There are two triangles in which the adjacent and opposite changes based on which angle is in question, the hypotenuse always stays the same.
Where Sin A = Opposite/ Hypotenuse
Cos A = Adjacent / Hypotenuse
And Tan A = Opposite / Adjacent
For question 1,
If Opposite = PR
Adjacent = PQ
Hypotenuse = QR
Sin A = 14/50
Cos A = 48/50
Tan A = 14/48
For question 2,
If Opposite = PQ
Adjacent = PR
Hypotenuse = QR
Sin A = 48/50
Cos A = 14/50
Tan A = 48/14
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Find a line that is perpendicular to y = 2/5x-1 that goes through (3,6)
Answers
Answer:
y = -5/2x + 27/2
Step-by-step explanation:
line formula is y = mx + b
perpendicular means number next to the x (slope or m) becomes a negative reciprocal
2/5x -> -5/2x
then use point slope formula
y - y1 = m (x - x1)
y - 6 = -5/2 (x - 3)
y - 6 = -5/2x + 15/2
y = -5/2x + 15/2 + 6
y = -5/2x + 15/2 + 12/2
y = -5/2x + 27/2
-
A rectangle has dimensions 2x – 12 by 3x + 9 and area 60 cm². What are the actual
dimensions of the rectangle?
Answers
Answer:
2 x 30 cm
Step-by-step explanation:
L x W = 60
(2x-12)(3x+9) = 60
6x^2 -18x-168=0
use quadratic fromula to find x = 7 or -4 (throw out)
the sides then become ( using 7)
2 and 30 cm
Patrick Mahomes had 229 passing yards in his last football game.
Calculate 229 yards into feet.
O 513 feet
O 452 feet
O 528 feet
O 687 feet
Answers
Answer:
687
Step-by-step explanation:
1 yard=3 feet
229 yds x 3 ft=687 ft
Sales Application
Jamal is a door to door vacuum salesman. His weekly salary, S, is $250 plus $50 for each
vacuum he sells. This can be written as S= 250 + 50v, where v is the number of
vacuums sold. If Jamal earns $1800 for a week's work, how many vacuums did he sell?
If Jamal earns $1800 for a week's work, how many vacuums did he sell?
If Jamal's pay was $1800 for the week, he sold
vacuums
Answers
Answer:
31
Step-by-step explanation:
3 times the same question ?
but yes, the formula for Jamal's salary is
S = 250 + 50v
now we know for that week that S = 1800
so, now we solve for v :
1800 = 250 + 50v
1550 = 50v
155 = 5v
v = 31
so, Jamal sold 31 vacuums in that week.
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Answers
Answer: Should be 150mm
Step-by-step explanation:
Find the surface area of each figure. Round answers to the nearest tenth, if necessary
2 mm-
2/5 mm
10 mm
3 mm
O
75 mm2
150 mm2
92 mm2
86 mm2
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.8% per hour. How many hours does it take for the size of the sample to double?
Answers
It will take 5.189 hours to get doubled the size of Sample.
What is Exponential Function?A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given:
Growth rate = 5.8%
The continuous exponential growth model for populations is given by:
P(t)= \(P_0 e^{rt\)
So, r= 5.8%
r = 0.058
Now, the time taken to double the sample then P(t) = 2P(0).
So, P(t)= \(P_0 e^{0.058t\)
2P(0) = \(P_0 e^{0.058t\)
\(e^{0.058t\) = 2
Taking log on both side
log \(e^{0.058t\) = log 2
0.058 t = 0.301
t= 0.301/ 0.058
t = 5.189
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Jessica bought a $30 outfit for $17. What percent discount did she receive?
Answers
Around 57%
Step-by-step explanation:17 / 30 = .56666666...
Move two decimal places to the left;
56.66666...
Estimate: 57%
Answer:
43.33%
Step-by-step explanation:
30 - 17 = $13
% discount = 13*100 / 30
= 43.33%
The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minute to empty the tank of the truck . How many gallons of water were in the tank?
Answers
Answer:
ask the person who poured it how many gallons did they pour
Step-by-step explanation:
ask melanie martineź parents
Answer:
Question 1, it was 4500 gallons of water in the tank
Question 2, it will take 70 minutes to fill the pool with water
Step-by-step explanation:
Question 1 explanation, just multiply 150 times the minutes
stan walks 2kilometers day how many meters does he walk in 2days
Answers
Answer:
he walks 4000 meters in two days
Answer:
4,000 meters in 2 days
Step-by-step explanation:
1 kilometer = 1,000 meters
We know Stan walks 2 kilometers in a day, so he walks 2,000 meters/day
2 days * 2,000 meters/day = 4,000 meters total
a clock chimes once at 1, twice at 2
Answers
Answer:
3 times at 3
Step-by-step explanation:
What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³
Answers
Answer:
1. y = 2x + 7
Step-by-step explanation:
The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).