Solve using substitution.

x = –2
5x + 3y = 14

Solution:

Combine like terms and solve the expression.

The solution to the problem is 14x.

Answer:

14x

Step-by-step explanation:

5x + 2x + 7x ← factor out x from each term

= x(5 + 2 + 7)

= 14x

Answer:

area of ΔAED = 1/2 · AE · DE

Step-by-step explanation:

Area of a triangle = 1/2 x height x base

From inspection of the diagram for triangle AED:

Therefore, area of ΔAED = 1/2 · AE · DE

Answer:6.28 miles

Step-by-step explanation:

The circumference of a circle = 2*pi*radius

= 2*1 mile* 3.14

= 6.28 miles

Answer:

Step-by-step explanation:

Find the area of a rectangle with sides of x – 1 and x.

A = w × l

A = x-1 × x

A = x² - x

Answer:

  y = x +3

Step-by-step explanation:

When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...

  y = x +3

Answer:

540min

Step-by-step explanation:

he slept for 9 houres so convert that to minutes.

Answer:

17.764% up

Step-by-step explanation:

i hope this helped

The required percentage markup from the cost price to the retail price is 1.25%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.

Now, the cost of the armchair is given  $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%

Thus, the required percentage markup from the cost price to the retail price is 1.25%.

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Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Difference meaning (Math):

If that's the meaning, equation should be:

Remember:

Answer: 27750/31

Step-by-step explanation:

We first solve for what's in the parenthesis.

= 1500/66*37

Next we do division.

= 750/31*37

Lastly we do multiplication.

= 27750/31

Answer:

0.61425061425

Rounded: 0.61

Step-by-step explanation:

Following PEMDAS

(62+4)=66

66 times 37= 2442

1500 divided by 2442

Answer:

Tyra can make 54 batches of cookies

sorry if I'm wrong

Step-by-step explanation:

Answer:

r^2+6=33

Step-by-step explanation:

The square of r means r^2 and 6 more means +6, so r^2+6=33

To fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

Generally, To fill a graph table with an equation we are usually give the independent factor in this case is the values of x

Therefore, to fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

For more information on  Graph

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Answer:

A=0.61:1 B=0.65

Step-by-step explanation:

B is the better deal.

i think the right answer is 4

101101110101010101100101010101010101010101010101010101010101010101-01010101010101010101011001010101010110

nah

Answer:

1.7 pounds each friend gets

Step-by-step explanation:

[tex]3 \: friends \: share \: 5 \: pounds \: of \: trail \: mix \\ 5 \: pound \: \div 3 \\ = 1.66666666666 \\ approximately \\ = 1.7(to \: 1 \: decimal \: place[/tex]

The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

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Answer:

it’s C trust me

Step-by-step explanation:

The linear function that best represents the relationship between the foot lengths of the elephants and their shoulder height is given as follows:

y = 5.71x - 5.65.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients of the function are defined as follows:

From the image given at the end of the answer, two points of the line are given as follows:

(15, 80) and (50, 280).

Given two points, the slope is obtained as the change in y divided by the change in x, hence:

m = (280 - 80)/(50 - 15) = 5.71.

Hence:

y = 5.71x + b.

When x = 15, y = 80, hence the intercept b is obtained as follows:

80 = 5.71(15) + b

b = 80 - 5.71(15)

b = -5.65.

Hence the equation is given as follows:

y = 5.71x - 5.65.

The graph is given by the image shown at the end of the answer.

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Answer: 60 degrees

Step-by-step explanation:

Angle sum of a triangle: 180 degrees

70+50=120

180-120=60

Straight line: 180 degrees

180-60=60 degrees

Answer:

120

Step-by-step explanation:

Add all the inner angles, 70+50=120. 180-120 = 60. The angle is a supplementary angle, so 180-60 = 120.

Answer:

You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.

For the first shape, it is 11 x 3 = 33

For the second one, it is 2 x 3 = 6

33 + 6 is 39, so the area is 39

Answer:

Step-by-step explanation:

We simplify 16x - 12 - 24x + 4 as -8x - 8

1. 4+16x - 12(1+2x)
Break the bracket out, we get : 4+16x-12+24x
Simplify : -8 + 40x, not equivalent to -8x - 8.

2. 40x - 16

Divide this by 5, we get : 8x - 3.2 = -8x + 3.2 (not equivalent also.)

3. 16x - 24x - 4 + 12
Simplify : -8x + 8 (also not equivalent)

4. -8x-8
It's literally the same as the simplified form of the expression.

So, only the fourth expression is equivalent to the original one.

The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.

The area after the dilation.

Dilated area = (Dilation)² x base area

Dilated area = 32² x 3

Dilated area = 3072 m²

The height after the dilation.

Dilated area = Dilation x base area

Dilated area = 32 x 4

Dilated area = 128 m

The volume of the dilated prism.

Volume = 3072 x 128

Volume = 393216 m³

The volume of the dilated prism is 393,216 m³.

More about the dilation link is given below.

https://brainly.com/question/8652140

Answer:

40.5

Step-by-step explanation:

The person who commented on the first answer is correct. I took the quiz.

:)

The height of the building is 96 ft., hence the building can be located there.

Sine rule is used to show the relationship between the sides and angles of a triangle it is given by:

a / sin(A) = b / sin(B) = c / sin(C)

A, B, C are the angles and a, b, c are the sides opposite the respective angles.

Let A represent the angle opposite side 120 ft., hence:

120/sin(A) = 200/sin(90)

A = 36.9°

Let h represent the height of the building, hence:

h / sin(36.9) = 160 / sin(90)

h = 96 feet

The height of the building is 96 ft., hence the building can be located there.

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Answer:

x + (-11)

Step-by-step explanation:

so you lost the 6 gallons and 5 gallons. so to find the original amount (I will use x). you need to subtract it from the amount. but since you are being asked to add. you use a negative

x + (-6) + - (5)

or you can combine

x + (-11)

it is equivalent to

x - 11

=====================================================

Explanation:

I'm assuming you meant to write $10,600 instead of $10,6000.

We'll replace y with this value and solve for x.

[tex]y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0[/tex]

Use the quadratic formula with a = -1, b = 50, c = -600

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\[/tex]

We go for the smaller x value because the question asks "what is the least amount she can raise the price?".

If she raises the price by $20, then she would estimate to make about $10,600.

y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept