Solve the system of linear equations below by substitution.

x + y = 5

2x - y = 7
Answer choices

(3, 2)

(2, 3)

(1, 4)

(4, 1)

Complete Question:

Mrs. Roberts plants tomatoes and radishes in the areas shown in the model below.

[tex]Tomatoes: 35\ acres[/tex]

[tex]Radishes: 28\ acres[/tex]

Which expression is equivalent to the sum of the two areas?

Answer:

[tex]A + B = 63[/tex]

Step-by-step explanation:

Given

Represent the area of Tomato with A and area of Radish with B

So:

[tex]A = 35[/tex]

[tex]B = 28[/tex]

The sum of the two areas is therefore:

[tex]Sum = A + B[/tex]

Substitute 35 for A and 28 for B

[tex]Sum = 35 + 28[/tex]

[tex]Sum = 63[/tex]

So, you either represent the model as:

[tex]Sum = 63[/tex]

or

[tex]A + B = 63[/tex]

Answer:

Step-by-step explanation:

7(5+4)

Answer:

y = 2

Step-by-step explanation:

(4x+9y)-(4x+5y) = 14-6

4x-4x+9y-5y = 8

4y = 8

y = 2

Hope this helped!

Answer:

8.5 FPS

Step-by-step explanation:

Answer:

x>12

Step-by-step explanation:

Answer:

x > 12

Step-by-step explanation:

x/2 + 3 > 9 solve this like a normal inequality, start by subtracting 3

x/2 > 6 now multiply 2

x > 12

I hope this helps

Answer:

B. Intersecting

Step-by-step explanation:

If you were to extend the lines, they would cross eachother

The given lines are intersecting.

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

As, from the figure we can see that the line p and q are not parallel to each other because the distance between them is not constant.

Now, the lines are not either skew or perpendicular.

If we extend the lines p and q then will meet at some point which is know as intersecting lines.

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Answer:

410 minutes

Step-by-step explanation:

Given that:

Time for which Jesse practices trumpet in the first week = 165 minutes

Time for which Jesse practices trumpet in the second week = 245 minutes

To find:

The total amount of time rounded to the nearest 10 minutes.

Solution:

To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.

Therefore, total time taken = 165 + 245 = 410 minutes

It is already rounded off to the nearest 10 minutes.

Therefore, the answer is:

Total amount of time for which Jesse practices = 410 minutes

Answer:

∠A is 55°

∠B is 125°

∠C is 55°

∠D is 125°

Step-by-step explanation:

The two acute angles in a parallelogram are equal, and the two obtuse angles are equal too. The angles in all quadrilaterals add to 360°. Since You're given one of the obtuse angles, multiply that number by 2 (125 × 2 = 250) , then subtract that from 360 (360 - 250 = 110) for the value of BOTH acute angles. Divide that by 2 for each individual acute angle (110/2 = 55)

Answer:

A.55

b.125

c.55

d.125

Step-by-step explanation:

thank you

Step-by-step explanation:

Step one:

given data

Anna

made $45.00 for 6 hours

for 1 hour she will make

=45/6

=$7.5

for 10 hours she will make

=$75

Allison

made $50.75 for 7 hours

for 1 hour she will make

=50.75/7

=$7.25

for 10 hours she will make

=$72.5

Anna will make more, she will make $75

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles whose the addition of their measures add up to [tex]180^{o}[/tex].

Given: <1 and <2.

<1 + <2 =  [tex]180^{o}[/tex] (supplementary angles)

If <1 ≅ <2 (congruent property), then we have;

<1 + <1 =  [tex]180^{o}[/tex]

2<1 =  [tex]180^{o}[/tex]

<1 = [tex]\frac{180}{2}[/tex]

   = [tex]90^{o}[/tex]

<1 = [tex]90^{o}[/tex]

So that since <1 and <2 are congruent, then;

<1 ≅ <2 ≅ [tex]90^{o}[/tex]

Therefore if <1 and <2 are supplementary and congruent, then they are right angles.

Answer:

y = x^4-6

y=1/ x-2

Step-by-step explanation:

hope this helps

The answer is -1

(AKA the second option)

Answer:

it's -2/5 !

Step-by-step explanation:

Answer:

3.) 10

Step-by-step explanation:

8x-2(x+1) = 7x+8

8x-2x-1=7x+8

6x-1=7x+8

-1=1x+8

+1     +1

1x+9

/x

x=1+9

x=10

Answer: First one, 25x^2y^22

Step-by-step explanation:

if you multiply y^5*2 you get y^10 and x^2

that makes x^2y^10

then, if you multiply y^3*4 you get y^12

so you have to add the y s that makes x^2y^22

Answer:

s = 11

Step-by-step explanation:

[tex]s-6\geq 5\\\\s-6+6\geq 5+6\\\\\boxed{s\geq 11}[/tex]

Any number greater than or equal to 11 would be a solution for the inequality given.

s = 11 is a solution.

Hope this helps.

Answer:

s = 11

Step-by-step explanation:

I think this is it because 11 - 6 = 5 this might not be right but i think it is.

First, find the converting ratio for kilometers to miles, which is

1km = 1.61 miles.

Then, divide 410 on the side for miles on the ratio.

410km=254.67miles

Therefore, 410 km is equal to 254.67 miles.

Answer:

x= 50      y=22

Step-by-step explanation:

50 + 22=72

50-22=28

y is less than x

Answer:

D

Step-by-step explanation:

A pair similar to 3 red to 1 blue is 6 red to 2 blue. Since there are already 4 red and 2 blues, then you just add 2 reds. Hope that helps!

Answer:

D. 2 red, 0 blue

Step-by-step explanation:

You already have 4 red, 2 blue. If you add 2 red, 0 blue, you have 6 red, 2 blue. If you divide both amounts by 2, (6 divided by 2, 2 divided by 2) you get 3 red, 1 blue.

Hope this helps!

Answer:

D. 216

Step-by-step explanation:

What I did was I multiply 9x9x8 and got 648. I then divide 648 by 3 and got 216. I would appreciate it if you can mark this the brainliest if you can.

The volume of the regular pyramid is V = 216 units³

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the volume of the pyramid be represented as V

Now , the equation will be

Let the height of the pyramid be H = 8 units

Let the side length of the pyramid a = 9 units

Now , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

The volume of pyramid V = ( 1/3 ) ( 9 )² ( 8 )

The volume of pyramid V = ( 27 ) ( 8 )

The volume of pyramid V = 216 units³

Hence , the volume of the pyramid is 216 units³

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Answer:

linear combination should be the right answer

Answer:

Substitution

Step-by-step explanation:

First difference,

[tex]\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1[/tex]

Second difference,

[tex]\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1[/tex]

Third difference,

[tex]\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1[/tex]

And so on.

Assuming the pattern holds on, we see that

i-th difference,

[tex]\Delta_{i} = a_{i + 1} - a_{i} = i + 1[/tex]

[tex]\implies a_{i + 1} = a_{i} + i + 1[/tex]

Then, nth term is,

[tex]\implies a_{n} = a_{n - 1} + n[/tex]

[tex]= a_{n - 2}+ (n + (n - 1))[/tex]

[tex]= a_{n - 3} + (n + (n - 1) +(n - 2))[/tex]

[tex]= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)[/tex]

[tex]= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k[/tex]

[tex]= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]

[tex]= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]

[tex]= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))[/tex]

[tex]= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)[/tex]

[tex]= a_1 + \frac{1}{2} (n -1 )(n + 2)[/tex]

[tex]\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)[/tex]

Now, the 21st term in the sequence is,

[tex]\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)[/tex]

[tex]= 1 + \frac{1}{2} \times 20 \times 23[/tex]

[tex]= 231[/tex]

Answer: 9 1/3%

Step-by-step explanation:

Answer:

1. x = ±3

2. x  =  13  over 5

3. –4x + 7

Answer:

1)10

2)10

3) 7

Step-by-step explanation:

Modulus means we always take the positive value for example

|-3| = +3

1) Find the absolute value of |8 + y| when y = 2

[tex]|8+2| \\|10|\\10[/tex]

2) Find the absolute value of |-8 + y| when y = -2

[tex]|-8+(-2)|\\|-8-2|\\|-10|\\10[/tex]

3) Simplify 4 + |x + 2| when x = -5

[tex]4 + |x + 2|\\4+|-5+2|\\4+|-3|\\4+3\\7[/tex]

Answer:

M= -13/9

Step-by-step explanation:

use y=mx+b formula

Answer:

The numerator is the number on top of the bottom number (denominator)

Answer:

x would be 110 degrees as well and its pair would be the angle opposite of it. The other pair of angles would be the ones next to it. Those equal250 degrees.

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

Answer:

a) 67

b) x= -8 and 4

c) 31

Step-by-step explanation:

a) if m<1 = (6x - 5) and m<5 = (5x+7), find m<3.

6x - 5 = 5x + 7

-5x + 5 - 5x + 5

x = 12

6(12) - 5 = 5(12) + 7

72 - 5 = 60 + 7

67 = 67

b) if m<4 = 32 and m<8 = (x^2 - 4x), find x.

32 = x^2 - 4x

- 32 - 32

x^2 - 4x - 32

(x - 8)(x + 4)

x - 8 = 0 x + 4 = 0

+ 8 + 8 - 4 - 4

x = -8 and 4

c) if m<4 = (4x - 17) and m<5 = (5x - 29), find m<1.

4x - 17 = 5x - 29

-5x + 17 -5x + 17

-x = -12

/-1 /-1

x = 12

4(12) - 17 = 5(12) - 29

48 - 17 = 60 - 29

31 = 31