Answer:
B)-4
Step-by-step explanation:
y=mx+c
sub in a point and gradient/slope to get c
-7=3(-1)+c
-7=-3+c
-7+3=c
c=-4
y=3x-4
if u looking for the y intercept make x=0
y=3(0)-4
y=-4
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week (1 point) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A
Step-by-step explanation:
4c + 6a < = 120 ...4(20) + 6(6) = 116 <== correct
4c + 4a < = 100....4(20) + 4(6) = 104 <== incorrect
3. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use the addition property of equality and multiplication property of equality in your answers. (8 points: 1 point for each question)
5x + 2y = 7
3x – y = 2
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)
Why is this multiplication allowed? (1 point)
What variable will be eliminated when the equations are combined after
the multiplication? (1 point)
Next, add the equations together. Your answer should be a single equation with one variable. (1 point)
Why can you add the equations? (1 point)
Solve the equation for x. (1 point)
Substitute x back into one of the equations to solve for y. (1 point)
What is the solution to the system of equations? (1 point)
Answer:
Step-by-step explanation:
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)
5x + 2y = 7
6x –2y = 4
Why is this multiplication allowed? (1 point)
Because the entire equation was multiplied by the same number, the equation remains the same.
What variable will be eliminated when the equations are combined after the multiplication? (1 point)
The Y variable
Next, add the equations together. Your answer should be a single equation with one variable. (1 point)
11x = 11
Solve the equation for x. (1 point)
X = 1
What is the solution to the system of equations? (1 point)
X = 1 and Y = 1 so the answer is (1, 1)
(If you solve this again, but eliminate the X variable, you will still receive that answer 1, so Y = 1)
Sorry my first answer was wrong
One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *
A right triangle has sides of length 3, 4, and x. Find x if it is one of the legs.
HELP ON THIS ONE????
Answer:
3x+4x+x=90
8x=90
x=90/2
x=45
PLS ANSWER, ALL THE QUESTIONS IN THE PICTURE. ITS DUE SOON PLS HELP, SHOW WHO U SET UP EACH PROBLEM .
Answer:
3. It's b and c 4. total number of participants in marathon=99+121=220 percentage of female = 121/220×100 =55% 5. the answer is 7
Step-by-step explanation:
Bertha read 21 books. Each book had 155 pages. How many pages did she read altogether?
Answer:
3255
Step-by-step explanation:
21x3255=
If using SAS to determine if a triangle is unique, you must know:
Answer:
It is important to note that SAS construction will always produce one, unique triangle. It does not matter how much you flip, rotate or move the ...
Step-by-step explanation:
The population of the United States is approximately 320,000,000 people. Which is a
reasonable estimate for the amount of food consumed by the population of the United
States per day?
Answer:
960,000,000 lbs
Step-by-step explanation:
The average person eats about 3 pounds of food a day so multiply 3 by 320,000,000 and you get 960 million lbs.
Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.
HELP ME PLESE
Answer:
'tis not a right triangle
'tis a left
Step-by-step explanation:
bottom left has a 90° angle. therefore, it is a left triangle
hope this helped
Help :
6. Solve the following equations:
a. x + 8 = 28
b. y - 4 = 30
c. s + 2s = 36
d. t - t + 4t = 16
e. 5a = 15
f. 8x - x = 21
A) x + 8 = 28
x = 28 - 8
x = 20
B) y - 4 = 30
y = 30 + 4
y = 34
C) s + 2s = 36
3s = 36
s = 12
D) t - t + 4t = 16
4t = 16
t = 4
E) 5a = 15
a = 3
F) 8x - x = 21
7x = 21
x = 3
[tex] \\ [/tex]
KemberlyJSomeone help me with this please, I really need help, and it's due tmrw...PLEASE
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 13 feet and a height of 14 feet. Container B has a radius of 10 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?
Answer:
The percentage ≅ 48.4%
Step-by-step explanation:
The volume of water left in container A = 2197π - 1134π = 1063π feet³
* To find the percentage of the water that is full after pumping
is complete, divide the volume of water left in container A
by the original volume of the container multiplied by 100
∴ The percentage = (1063π/2197π) × 100 = 48.3841 ≅ 48.4%
Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.
A triangle with 30 degrees in the left corner, 40 degrees in the right corner and 7 cm along the bottom of the triangle.
a unique triangle
no triangle
more than one triangle
Answer:
im like 95% sure its a unique triangle
Step-by-step explanation:
This one is number 6
Possible answer: A
Step-by-step explanation:
it could be A because the first few pairs of the #5 are multiplied by 2 and 25 multiplied by 2 is 50. Im not entirely sure.
I shall give the right answer brainliest
Answer:
A. [tex]-\frac{1}{9}[/tex]
Step-by-step explanation:
-([tex]3^-^5[/tex])([tex]3^3[/tex]) = [tex]-\frac{1}{9}[/tex]
please let me know if I am wrong.
hope this helped.
Answer:
A
Step-by-step explanation:
[tex]-\left(3^{-5}\right)\left(3^3\right)[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]3^{-5}\cdot \:3^3=3^{-5+3}[/tex]
= [tex]-3^{-5}\cdot \:3^3[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+3=-2[/tex]
[tex]=-3^{-2}[/tex]
= [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]3^{-2}=\frac{1}{3^2}[/tex]
= [tex]=-\frac{1}{3^2}[/tex]
[tex]3^2=9[/tex]
= [tex]=-\frac{1}{9}[/tex]
You don't have to solve the K and the equation for me, I know how to do it. I just don't know what to do for the table. It confused me...
Answer: x=18 y=2 and then it is also equal to 5.
Step-by-step explanation: all you have to do is find the ratio in the table, by dividing 48 by 8 = 6, this lets us know that the ration is 6 to 1. 6 is the x value and 1 is the y value.
Select all of the algebraic expressions that could represent the phrase below.
Step-by-step explanation:
9 more = + 9
the product of 5 times t = 5t
so, the answer options 1, 2 and 4 are correct
Jerome bought a pair of shoes for $58.13 including tax. The shoes had a sticker price of $54.20. What percent sales tax did he pay?
I NEED AN ANSWER ASAP!!!!!!!!!!!!!!!!!!
Answer: %7
Step-by-step explanation: 61.49- 57.20= 4.29
4.29÷ 61.49= 0.0697674419
0.0697674419 × 100= 6.9767449
6.9767449 rounded is 7
Your answer is 7%
Please help me find all choices that apply to the question
Answer:
which question
Step-by-step explanation:
I NEED HELP PLEASE I HAVE POINTS
Answer:
17, 17, 1 13/21
Answer:
1 13/21
Step-by-step explanation:
First, Multiply the 4 and 3 by 7 to get 28/21. Then Multiply the 2 and 7 by 3 to get 6/21. Add them up and you get 34/21. To convert, divide 34 and 21 to get one with the remainder of 13. The final answer is 1 13/21.
What is the value of m?
13.78 – m = 9.13
Answer:
4.65
Step-by-step explanation:
13.78 - m = 9.13
13.78 - 9.13 - m = 0 (subtracting 9.13 from both sides)
m = 13.78 - 9.13 (adding m to both sides)
m = 4.65
Answer:
m=22.91
Step-by-step explanation:
13.78+9.13=22.91
Does the following relationship represent a function?
Answer:
Yes. It represents a function. The x and y inputs represent functions, so it is indeed a function.
Step-by-step explanation:
Last year, the student population at Sunshine Middle School was 876 students. This year it is 891 students. What percentage did the student population increase?
Help me plz:
11. Solve the following equations:
a. 5(x - 4) = 10
b. 2x(4x + 3x) = 21
c. 3(4 - 2x) = 28
d. 10x(2 + 13) = 300
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
A. 5(x - 4) = 10 [tex] \sf5(x - 4) = 10[/tex][tex] \sf(x - 4) = 10 \div 5[/tex][tex] \sf \: x - 4 = 2[/tex][tex] \sf x = 2 + 4[/tex][tex] \sf x = 6[/tex]B. 2x(4x + 3x) = 21 [tex] \sf2x(4x + 3x) = 21[/tex][tex] \sf2x(7x) = 21[/tex][tex] \sf14 {x}^{2} = 21[/tex][tex] \sf {x}^{2} = 21 \div 14[/tex][tex] \sf x {}^{2} = \dfrac{3}{2} [/tex][tex] \sf x = \sqrt{ \dfrac{3}{2} } [/tex]C. 3(4 - 2x) = 28[tex] \sf3(4 - 2x) = 28[/tex][tex] \sf12 - 6x = 28[/tex][tex] \sf - 6x = 28 - 12[/tex][tex] \sf x = 16 \div - 6[/tex][tex] \sf x = - \dfrac{8}{3} [/tex]D. 10x(2 + 13) = 300[tex] \sf 10x(2 + 13) = 300[/tex][tex] \sf10x(15) = 300[/tex][tex] \sf10x = 300 \div 15[/tex][tex] \sf x = 20 \div 10[/tex][tex] \sf x = 2[/tex]I hope it helps ~
Please help me solve all these parts and you get brainlest
Answer:
1. is not. 2. 13
Step-by-step explanation:
Answer:
Is not. 2.13
Step-by-step explanation:
please and thank you
Answer:
The answer is B
Step-by-step explanation:
You can turn them into improper fractions
so
[tex]10 \frac{1}{2} = \frac{21}{2} [/tex]
[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]
when we divide we invert the second fraction
[tex] \frac{21}{2} \div \frac{9}{4} = \frac{21}{2} \times \frac{4}{9} [/tex]
now we can multiply as usual
[tex] \frac{21}{2} \times \frac{4}{9} = \frac{84}{18} [/tex]
[tex] \frac{84}{18} = \frac{14}{3} = 4 \frac{2}{3} [/tex]
Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
Consider ground level to be 0 .
What value represents the elevation of the hole relative to ground level after digging for 2(1)/(2) hours?
Enter your answer as a simplified mixed number in the box.
Answer:
3 1/3 feet
Step-by-step explanation:
Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.
Hope this helps :)
Find common denominators and add. Reduce answers to lower terms. 1/4+ 1/6
5/12
1/10
2/10
2/6
Answer:
the other guy s right guy job beat me to it lol
Step-by-step explanation:
1 x6
4 x6
1x4
6x4
6/24+4/24 = 10/24
10/24 = 5/12
RectangleA′B′C′D′ is the image of rectangleABCD after a dilation.
What is the scale factor of the dilation?
The length of the side of the original is 3 units.
The length of the side of the smaller one is 1.5
Scale = 1/2
A tire from Karens car is shown below Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi= 22/7
Answer:
264 inches
Step-by-step explanation:
Circumference = pi x diameter
28 x 22/7 = 88 (in)
88 x 3 = 264 (in)
The closest distance traveled by Karen's car is, 18.86 feet.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We know that;
One rotation of the tire is equal to the circumference of the tire.
And, The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where, π = 22/7
d = diameter
Here, The size of one revolution = 2 x 22/7
= 44/7 feet
Hence, The distance covered in one rotation of the tire is 44/7 feet
So, The distance covered in 3 rotations = (44/7) x 3
= 18.86 feet
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ2
The complete question is this,
A tire from Karen's car is shown below. Which is the closest to the distance traveled, in feet, after 3 full rotations of the tire? The diameter is 2 feet, by the way.