Answer:
y=51
Step-by-step explanation:
this is probably wrong but im guessing you subtract 44 from 13 which is 31 so then you add 31 onto 20 so y=51
plsss help meee!!!!!!
Answer:
given belowStep-by-step explanation:
1)
total area = rectangle area + 2 triangle area
= length * width = 2 ( \(\frac{1}{2}\) * base * height )
= 7.5 * 6 + 2 ( \(\frac{1}{2}\) * 3 * 4 )
= 57 ft²
2)
separate it into two rectangles:
length * width + length * width
6 * 2 + 9 * 4
48 cm²
3)
parallelogram area = base * height
= 20 * 25
= 500 in²
27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle
Answer:
\(Area = 3500\)
Step-by-step explanation:
Given
\(Length : Breadth = 7 : 5\)
\(Perimeter = 240m\\\)
Required
Determine the area
The perimeter is:
\(Perimeter = 2(Length + Breadth)\)
This is then represented as:
\(240 = 2(7x + 5x)\)
\(240 = 2 * 12x\)
\(240 = 24x\)
\(10 = x\)
\(x = 10\)
So, the area is:
\(Area = Length * Width\)
\(Area = 7x * 5x\)
\(Area = 7*10 * 5*10\)
\(Area = 3500\)
Describe a situation that can be represented by the expression –15 + 8.
Answer:
-7
Step-by-step explanation:
Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).
HELP WITH THIS QUESTION PLEASE
9514 1404 393
Answer:
about 2.1
Step-by-step explanation:
The slope of the secant line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (121/100 -1)/(11/10 -1) = (21/100)/(1/10) = 2.1
The slope of the tangent is about 2.1.
_____
Additional comment
We can refine our estimate by choosing a secant line between the points (9/10, 81/100) and (11/10, 121/100). That is, points either side of x=1.
That slope is ...
(121/100 -81/100)/(11/10 -9/10) = (40/100)/(2/10) = 2.0
We expect the slope of the tangent at x=1 to be exactly 2.0.
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).
1. Start by calculating the distance between the vertices of the original triangle ABC:
- Distance between A(4, 3) and B(3, -2):
Δx = 3 - 4 = -1
Δy = -2 - 3 = -5
Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26
- Distance between B(3, -2) and C(-3, 1):
Δx = -3 - 3 = -6
Δy = 1 - (-2) = 3
Distance = √((-6)² + 3²) = √45 = 3√5
- Distance between C(-3, 1) and A(4, 3):
Δx = 4 - (-3) = 7
Δy = 3 - 1 = 2
Distance = √(7² + 2²) = √53
2. Apply the scale factor of 1.5 to the distances calculated above:
- Distance between A' and B' = 1.5 * √26
- Distance between B' and C' = 1.5 * 3√5
- Distance between C' and A' = 1.5 * √53
3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):
- A' is located Δx units horizontally and Δy units vertically from A.
- Δx = 1.5 * (-1) = -1.5
- Δy = 1.5 * (-5) = -7.5
- Coordinates of A':
x-coordinate: 4 + (-1.5) = 2.5
y-coordinate: 3 + (-7.5) = -4.5
4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\frac{3}{8}-\frac{1}{6}
8
3
−
6
1
Step-by-step explanation:
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly.
I hope this helps.
Step-by-step explanation:
8/3
8-3=6
6/3
6-3=
3use the volume of the given sphere to find x
umm ciao anyways.........................................
I have to add this problem
5/8+2/8
giving 10 points:)
The addition of the given fraction expression is 7/8.
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.
When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.
In this case, both fractions have a denominator of 8, so we can add their numerators:
5/8 + 2/8 = (5 + 2)/8 = 7/8
Thus, the sum of 5/8 and 2/8 is 7/8.
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which of the following are solutions to the quadratic equation below? x^2+7x=8
Answer:
x = -8, 1
Step-by-step explanation:
Hi there!
\(x^2+7x=8\)
Move 8 to the other side:
\(x^2+7x-8=8-8\\x^2+7x-8=0\)
Now, we can ask ourselves: what two factors of -8 add to 7? Those two numbers would be 8 and -1. Knowing this, factor:
\((x+8)(x-1)=0\)
Because of the zero product property (that states that if the product of two numbers is 0, then one of the numbers must be equal to 0), we can find the solutions to the quadratic by setting each term equal to 0:
\(x+8=0\\x=-8\)
\(x-1=0\\x=1\)
Therefore, the solutions of the quadratic are -8 and 1.
I hope this helps!
Find the surface area
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
o Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50)
o Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50)
What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) /
If the average weight found by Val is 1380 pounds with standard deviation 50 of 100 cows, then Val's margin of error will be 9.80.
Given that the average weight found by Val is 1380 pounds with standard deviation 50 of 100 cows.
We are required to find the margin of error of Val's data.
Margin of error is basically the difference between the actual data and the calculated data.
Margin of error=1.96*σ/\(\sqrt{n}\)
In our case σ=50 and n is 100.
Margin of error=1.96*50/\(\sqrt{100}\)
=1.96*50/10
=1.96*5
=9.80
Hence if the average weight found by Val is 1380 pounds with standard deviation 50 of 100 cows, then Val's margin of error will be 9.80.
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In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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PLEASE HELP. tons of points for reward
answer like this…
69)
70)
71)
72)
Step-by-step explanation:
69) If 10 packages of shallots cost $40, then the cost of one package of shallots can be calculated as:
$40 ÷ 10 packages = $4 per package
To find out how many packages of shallots can be purchased with $8, divide the total amount of money by the cost per package:
$8 ÷ $4 per package = 2 packages
Therefore, with $8, you can buy 2 packages of shallots.
70) If three Bosc pears cost $2, we can use a proportion to determine how many pears we can buy for $4:
3 pears / $2 = x pears / $4
Cross-multiplying, we get:
3 pears × $4 = $2 × x pears
Simplifying, we get:
12 = 2x
Dividing both sides by 2, we get:
x = 6
Therefore, with $4, you can buy 6 Bosc pears.
71)If the exchange rate is 11 pounds for every $2, we can use a proportion to determine how many pounds we can get if we exchange $4:
11 pounds / $2 = x pounds / $4
Cross-multiplying, we get:
11 pounds × $4 = $2 × x pounds
Simplifying, we get:
44 = 2x
Dividing both sides by 2, we get:
x = 22
Therefore, if you exchange $4, you can get 22 pounds.
72) If 9 packages of basil cost $27, we can use a proportion to determine how many packages of basil we can buy for $9:
9 packages / $27 = x packages / $9
Cross-multiplying, we get:
9 packages × $9 = $27 × x packages
Simplifying, we get:
81 = 27x
Dividing both sides by 27, we get:
x = 3
Therefore, with $9, you can buy 3 packages of basil.
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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What is the sum of 25 7/8 + 11.5
A - 36 3/8
B - 36 7/8
C - 37 3/8
D - 37 7/8
Answer: D
Step-by-step explanation:
Find the mistake: Explain what the person did incorrectly while solving the problem or how you would solve it.
7x + 8 - 5x = 30
7x + 8 - 5x = 30
2x + 8 = 30
+8 +8
2x = 38
-divide each side by 2
x = 19
Answer:
the mistake is from the 5th line
from the 3rd line,
2x+8=30
therefore,
2x=30-8
2x=24
x=24/2
x=12
Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
What is the area of the composite figure
Answer:
Area of composite figure = 216 cm²
Hence, option A is correct.
Step-by-step explanation:
The composite figure consists of two figures.
1) Rectangle
2) Right-angled Triangle
We need to determine the area of the composite figure, so we need to find the area of an individual figure.
Determining the area of the rectangle:
Given
Length l = 14 cm
Width w = 12 cm
Using the formula to determine the area of the rectangle:
A = wl
substituting l = 14 and w = 12
A = (12)(14)
A = 168 cm²
Determining the area of the right-triangle:
Given
Base b = 8 cm
Height h = 12 cm
Using the formula to determine the area of the right-triangle:
A = 1/2 × b × h
A = 1/2 × 8 × 12
A = 4 × 12
A = 48 cm²
Thus, the area of the figure is:
Area of composite figure = Rectangle Area + Right-triangle Area
= 168 cm² + 48 cm²
= 216 cm²
Therefore,
Area of composite figure = 216 cm²
Hence, option A is correct.
I need help pls I really need a answer
Answer:-16
Step-by-step explanation:
add all the temperature together =-112
then you divide by the number of temperatures given which is 7 which gives you -16
Answer:
-16 degrees C.
Step-by-step explanation:
When they say mean, they mean the average. You add the numbers together and divide them on how many numbers there are.
Given the scenario in #2 for Kevin, how much interest will he pay over the life of the
mortgage?
A. $62,283.60
B. $24,337.80
C. $28,632.60
D. $64,312.60
If A dog is 3 times a s heavy as a cat. If the cat weighs 8kg what is the dogs weight?
Answer: 24kg
Step-by-step explanation:
Ratio given:
Dog = 3 (Weight of cat)
Substitute the (Weight of cat) with the given unit:
Dog = 3(8kg)
Multiply
Dog = 24kg
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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Please help! What is the value of x?
Answer:
I think the bigger triangle is x2 of the smaller triangle so if the base is 20ft then the hight is 12
Which graph represents the function f(x)=4x?
Responses
Answer:
slope = 4
points on graph = (0,0), (1,4)
Step-by-step explanation:
line going through quadrants 1 and 3. Straight line.
In ADEF, f= 33 inches, ZF=140° and ZD=5°. Find the length of e, to the nearest 10th
of an inch.
The length of e is 29.53 inches.
what is Sine Law?In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".
Given:
f= 33 inches
<F= 140, <D = 5
Now,
<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35
Using Sine law
sin F / f = sin E/ e
sin 140 / 33 = sin 35 / e
0.642/ 33 = 0.573 / e
0.0194 e= 0.573
e= 29.53 inches
Hence, the length of e is 29.53 inches.
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Your family is going on vacation to Disney. It will cost your family $987 to travel there, plus $150 per day for tickets into the park. What is the greatest number of days you can stay at Disney while staying within their $3500 budget?
Answer:
They can stay 16 days.
Step-by-step explanation:
3500 - 987 = 2,513
2,513 divided by 150 = 16.7
*They can't stay 16.7 days, so you have to round down. Rounding up will go out of their budget.*
Checking answer:
16 x 150 = 2,400
2,400 + 987 = $3,387
- I'm sure this isn't how your teacher wants you to solve it but this is just how I solved it, I hope this helps!
Step-by-step explanation:
Equation: 987 + 150x = 3500
x represents the number of days the family is staying at the park.
Solve.
Subtract 987 from both sides:
\(150x = 2513\)
Divide each side by 150:
\(x= 16.75\)
16.75 is decreased to 16, it's impossible to stay for 16.75 days.
The family can stay in the park for 16 days.
Choose the best solution to the following system of linear equations.
Answer:
(-7;-1).
Step-by-step explanation:
1) to make up and solve the equation:
\(\frac{5}{7}x+4=-\frac{1}{7}x-2; \ = > \ x=-7.\)
2) to substitute x=7 into any given equation and calculate the value of y:
\(y=\frac{5}{7}*(-7)+4=-1.\)
3) finally, (-7;-1).
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.