Answer:
x-intercept
y=0
8x - 7(0)= -56
8x = -56
x = -7
(-7, 0)
y-intercept x= 0
8(0) -7y = -56
-7y = -56
y = 8
(0, 8)
Step-by-step explanation:
The x - intercept of the equation is, (- 7, 0)
The y - intercept of the equation is, (0, 8)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 8x - 7y = - 56
Now, We have to find the x - intercept as;
Substitute y = 0,
⇒ 8x - 7×0 = - 56
⇒ 8x = - 56
⇒ x = - 56/8
⇒ x = - 7
And, We have to find the y - intercept as;
Substitute x = 0,
⇒ 8x - 7y = - 56
⇒ 8×0 - 7y = - 56
⇒ - 7y = - 56
⇒ 7y = 56
⇒ y = 56 / 7
⇒ y = 8
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The diagram shows a right-angled triangle and a parallelogram.
24 cm side of triangle
30 cm base of parallelogram
7cm base of triangle
The area of the parallelogram is 5 times the area of the triangle.
The perpendicular height of the parallelogram is hcm.
(b) Find the value of h.
Answer:
see explanation
Step-by-step explanation:
i know this is very late but ..
area of triangle= b*h/2
24*7/2=84
and it said the parallelogram is 5 times the area so we do
84*5=420 which is the total area of the parallelogram
now to find h we need to do
420/30=14
h=14 because 30*14=420
The required value of h is 14 cm for the given parallelogram.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The area of the triangle is (247)/2 = 84 square cm.
Since the area of the parallelogram is 5 times the area of the triangle, the area of the parallelogram is 845 = 420 square cm.
The area of the parallelogram is equal to the base (30 cm) multiplied by the height (h cm), so we can set up the equation:
30h = 420
To find the value of h, we can divide both sides of the equation by 30:
h = 420/30
h = 14 cm
Thus, the required value of h is 14 cm.
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Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.
Question:
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
Options B & C are correct.
Step-by-step explanation:
Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
L = 12 m
w = 12 m
h = 10 m
To find the volume of this rectangular prism, let's use the formula:
V = w*h*l
V = 12 * 12 * 10
V = 1440 m³
Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
b = 12 x 12
h = 8
The volume of a square pyramid formula is:
V = ⅓*a²h
V = ⅓*12²*8
V = 384 m³
To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.
V = 12*12*10 + ⅓*12²*8
V = 1440 + 384 = 1824m³
Therefore, the space inside greenhouse 1 is 1824m³
Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
b = 12 m
h = 8 m
height of prism = 12 m
To find the volume of a triangular prism, we have:
½*(bh) * h
V = ½(12*8)*12
V = 576 m³
To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.
V = (12 * 12 * 10) + (½(12*8)*12)
V = 1440 + 576
V = 2016 m³
Therefore, the space inside greenhouse 2 is 2016m³
From the calculations above the correct options would be:
(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Options A, D and E are wrong.
Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.
Answer:
THE ANSWERS ARE.... B AND C
B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Step-by-step explanation:
i just took it on EDGE 2020. I hope it helps :)
Am I right?? :) if I’m not please tell me what’s wronf
Answer: The first one is correct but the second one is not
answer blank 1 = 21
answer blank 2 = 189
Step-by-step explanation: You know that 21 students are at each group of tables and you know there is 9 groups total so to get the answer you must multiply 8 times 21 which is 189. Where you went wrong was you multiplied 9 * 3 instead of 9 * 21
hope this helps mark me brainliest if it did
At what coordinates was Anne the farthest away from home? Time in hours
Answer:
(3,8)
Step-by-step explanation:
A basketball team wants to paint half of a free-throw circle grey. If the radius of the free-throw circle is 5.4 feet, what is the area that will be painted grey? Use 3.14 for , and round to the nearest square foot.
Answer:
The area which would be painted grey will be "47.7812 ft²".
Step-by-step explanation:
The given values are:
Radius of circle, r = 5.4 feet
Value of pi, π = 3.14
As we know,
Area of Semicircle = [tex]\frac{\pi r^2}{2}[/tex]
On putting the values in the above formula, we get
= [tex]\frac{3.14\times (5.4)^{2}}{2}[/tex]
= [tex]\frac{3.14\times 29.26}{2}[/tex]
= [tex]\frac{91.5624}{2}[/tex]
= [tex]45.7812 \ ft^2[/tex]
translate (-4,5) up 3 units
then reflect the result over the y-axis
what are the coordinates of the final point?
Answer:
4,8
Step-by-step explanation:
reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four
Simplify (x+2)(x+6) using grouping, and write the resulting expression in standard form
Answer:
(x+8)
Step-by-step explanation:
Answer:
x2 + 8x + 12
Step-by-step explanation:
(x + 2) (x + 6) = x (x + 6) + 2 (x + 6)
= x * x + 6x + 2 (x + 6)
= x2 + 6x + 2 (x + 6)
= x2 + 6x + 2x + 2 * 6
= x2 +6x + 2x + 12
= x2 + 8x + 12
Five boxes of crakers cost 9 at the rate how much do 20 boxes cost
Answer:
36 dollars
Step-by-step explanation:
We can use ratios to solve
5 boxes 20 boxes
------------------ = ---------------
9 dollars x dollars
Using cross products
5x = 20*9
Divide each side by 5
5x/5 = 90*9/5
x = 36
find the two values that x can have if x2-12=37
Answer:
[tex]x2 - 12 = 37[/tex]
Step-by-step explanation:
Add 12 to both sides:
[tex]x2 - 12 + 12 = 37 + 12[/tex]
Simpilfy:
[tex]x2 = 49[/tex]
Simplify:
[tex]2x^{2} = 49[/tex]
Simplify:
[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]
[tex]x^{2} = \frac{49}{2}[/tex]
For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]
x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]
-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]
x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Answer:
[tex]x = 7 \\ x = - 7[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]
A(-1,2) B(3,1) C(1,-4) To the new coordinated A'(-2,4) B'(6,2) C'(2,-8) what was the scale factor?
Answer:
Step-by-step explanation:
A(-1, 2) ==> A'(-2, 4)
B(3,1) ==> B'(6,2)
C(1,-4) ==> C'(2,-8)
Based on the results of each set, the scale factor is 2
A(-1*2, 2*2)= A'(-2, 4)
Please answer ASAP In need of help
Answer:
5/7
Step-by-step explanation:
Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7
Plz, help me plz!!!!!!!!!!!!! will mark brainliest!!!!
The scatter plot shows the total number of songs downloaded on a popular music service.
image below
Answer:
Its B. y-5x+5
Step-by-step explanation:
Use the slope formula
The equation of the linear model is y = 5x + 5. The correct answer is option B.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We can find the equation of the linear model passing through two points using the slope-intercept form of a line:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line:
m = (y₂ - y₁) / (x₂ - x₁)
Let (0, 5) be the first point, and (3, 20) be the second point:
m = (20 - 5) / (3 - 0) = 15 / 3 = 5
Now that we know the slope, we can plug in one of the points and solve for the y-intercept:
y = mx + b
5 = 5(0) + b
b = 5
Hence, the equation of the linear model is:
y = 5x + 5
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So do i divide by 2 each time?
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answer:
5 rides $15
Step-by-step explanation:
.
Answer:
omg riverdale is my favorite show!
Step-by-step explanation:
Which statement about liters and milliliters is true?
Answer:
Lesson Summary
A milliliter is a metric unit used to measure capacity that's equal to one-thousandth of a liter. Capacity is the amount of liquid a container can hold. One liter contains 1,000 milliliters, so to convert liters to milliliters you multiply the number of liters times 1,000.
Look at the equivalent metric units of capacity. When converting from a larger unit to a smaller unit, multiply by 1,000. When converting from a smaller unit to a larger unit, divide by 1,000. Liters are larger than milliliters, so multiply by 1,000.
Step-by-step explanation:
whats 2.638 rounded to the nearest hundredth?
Answer:
2.64
Step-by-step explanation:
The 8 in the thousandths place can round up to .64
if the sides of a triangle and area is given. How to find perimeter
Answer:
add it up to see if it's 180
Answer:
Well since you have the sides you would add up all of the sides to find the perimeter.
Step-by-step explanation:
what is the area of this triangle?
Answer:
1099.589 ft^2
Step-by-step explanation:
idk what happen to my answer but some bozo delete my answer but ehre you go again for any who has the same question:)
Tim answered all the questions on his math test but got
10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
Pls I need the equations ASAP
Answer:
29 questions total
Step-by-step explanation:
Since his score was 76 points and he received 4 points per correct answer, you can find the number of correct answers by dividing 76 by 4
76/4 = 19
The you add to that the number of questions he got wrong:
19 + 10 = 29 total questions.
Determine the nth term formula for each of the following sequences and find the limit if it exists.
3, 3,-3, 3,
Answer:
aₙ = (-3) (-1)ⁿ⁻¹
limit does not exist
Step-by-step explanation:
-3, 3, -3, 3, ...
This is an alternating geometric series where the first term is -3 and the common ratio is -1. The nth term is therefore:
aₙ = (-3) (-1)ⁿ⁻¹
Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.
On your birthday you receive a new TV valued at $1199. The value of the TV decreases by 25% each year. What will its value be 4 years from now?
Answer: 74.93
Step-by-step explanation: if you heard of the line equals line method this should be able to help you.
299.75 25%
---------------=------------------
$1199 100%
so you cross multiply 1199 and 25 and then divide it by 100. which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.
299.75 divided by 4= 74.93
hope this helps
Answer:
379.37
Step-by-step explanation:
I just did it the manual way
1199-25%=899.25
(25% of 1199 is 299.75)
899.25-25%=674.44
(25% of 899.25 is 224.81)
674.44-25%=505.83
(25% of 674.44 is 168.61)
505.83-25%= 379.37
(25% of 505.83 is 126.5)
I just took a test with this question
I need help with this :/ pls help
Answer:
When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777
Step-by-step explanation:
Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 inches high. What is the volume of this plastic container?
Answer:
=119 in ^3
Step-by-step explanation:
The volume of a rectangle prism is given by
V = l*w*h
Changing to decimal form
= 8 .5 * 4 * 3.5
=119 in ^3
Answer: 119^3
Step-by-step explanation:
To find out the volume of a rectangular prism you have to multiply length x width x height.
8.5 x 4 = 34
34 x 3.5 = 119^3
Need Help Asap offering 10 Points!!!!
Answer:
13 minutes 30 seconds.
Step-by-step explanation:
You just divide 10.8 by 0.8...
10.8÷0.8=13.5
How to determine the function with the graph?
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an
area of 94 units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
Answer:
yes you are right it would be cylinder b
Step-by-step explanation:
Given f(x)-x-5,solvr for x when f (x)=4
Answer:
-1-x
Step-by-step explanation:
i think im not sure
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A3 cm, 3 cm, 3 cm
B4 cm, 8 cm, 13 cm
C5 cm, 9 cm, 14 cm
D 6 cm, 7 cm, 8 cm
E 7 cm, 7 cm,10 cm
Answer:
A3
D6
Step-by-step explanation:
All answer choices are correct and can form triangles.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).
A)
3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.
B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.
C)
5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.
D)
6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.
E)
7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.
Therefore,
All of the sets of measurements could be the side lengths of a triangle.
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A spinner with seven equal sized sections was used to play a game It was used 250 times in the first game Of those 250 the arrow landed on section 7 a total of 35 times The same spinner was used 150 times in the second game How many times did the spinner most likely land on section 7 in the second game A. 14 B. 21 C. 30 D. 35
Answer: 21
Step-by-step explanation:
From the question, a spinner with seven equal sized sections was used in playing a game. The spinner was used 250 times in the first game and the arrow landed on section 7 a total of 35 times. This can be expressed as:
= 35/250
= 0.14
The same spinner was also used 150 times in the second game. The number of times the spinner will most likely land on section 7 in the second game will be:
= 0.14 × 150
= 21
The spinner most likely land on section 7 in the second game for 21 times.
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
Volume of the rectangular prism = [tex]480in.^{3}[/tex]
Step-by-step explanation:
Formula for the volume of a rectangular prism= Ah, where A= base area
& h= height
Base area(A)= Length×Width
= 12in.×8in.
= [tex]96in.^{2}[/tex]
Since height=5in.,
Volume= [tex]96in.^{2}[/tex]×5in.
= [tex]480in.^{3}[/tex]
Hope this helps!!!
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