Use substitution to solve.
2x² = 5 + y
4y = -20 + 8x²
Solve the first equation for y and substitute it into the second equation. The resulting equation is
A. 4y = 16x² - 60
B. 8x² - 20 = -20 + 8x²
C. 2x² = 5 + 2x² - 5

Answer:

11, 13, 15, 17 and 19

Step-by-step explanation:

the smallest is x

the second is x+2

the 3rd is x+4

next is x+6

the last is x+8

x + (x+2) + (x+4) = (x+6) + (x+8) +3

3x + 6 = 2x + 17

3x - 2x = 17 - 6

x = 11

so the integers are

11, 13, 15, 17 and 19

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1, Δ ABC∼ Δ DEF.

Step-by-step explanation:

Answer:

[tex]\frac{x}{6}[/tex] < 20

Step-by-step explanation:

hope this help idrk how to explain this one lol

We want to write a math phrase into a math expression (an inequality).

The inequality will be: x/6 < 20

The phrase is:

"The quotient of a number and 6 is less than 20."

We can break the phrase to explain how to write it.

The first part:

"The quotient of a number and 6..."

is written as:

x/6

where "a number" is x.

Now the second part:

"...is less than 20"

is written as:

< 20

This means that the thing at the left is smaller than 20.

Now, the whole inequality will be:

x/6 < 20

We could simplify this to get:

x < 20×6 = 120

x < 120

If you want to learn more, you can read:

https://brainly.com/question/20383699

Answer: [tex]r=\dfrac{4}{\theta}\text{ cm}[/tex] .

Step-by-step explanation:

We know that , [tex]l= r\theta[/tex] , where l = length of arc , r= radius , [tex]\theta=[/tex] central angle ( in radians).

Here , l= 4 cm

Substitute this value in the formula , we get

[tex]4=r\theta \\\\\Rightarrow\ r=\dfrac{4}{\theta}[/tex]

Hence, the formula of r in terms of [tex]\theta[/tex] is [tex]r=\dfrac{4}{\theta}\text{ cm}[/tex] , where [tex]\theta=[/tex] central angle ( in radians).

Answer: 4/θ

Step-by-step explanation: Khan Academy

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

7/3

Decimal Form:

2.¯3

Mixed Number Form:

2/1/3

Answer:

7/3 or 2 1/3

Step-by-step explanation:

2 2/3 - 1/3   -- make 2 2/3 an improper fraction

8/3 - 1/3   -- then subtract

7/3   -- simplify if needed

2 1/3

Hope this helped :)

Answer:

136 1/2 cubic inches

Step-by-step explanation:

Volume is equal to length times width times height.

For width and height, use the decimal version of the mixed fractions to make calculations easier.

5 1/4 = 5.25

6 1/2 = 6.5

4 x 5.25 x 6.5 = 136.5, or 136 1/2

Answer:

Okay?

Step-by-step explanation:

I think m a week or 2 late

Answer:

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

lol

Answer:

x=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

B (130°)

Step-by-step explanation:

Because the angles are adjacent that means:

m<ADE + m<CDA = m<CDE

Using this equation, we can find what m<ADE is:

m<ADE = m<CDE - m<CDA

m<ADE = 177° - 47°

m<ADE = 130° (B)

Hope this helps :)

Answer:

B

Step-by-step explanation:

CDE is 177, meaning it’s not a straight line so it’s 3 degrees from a perfect line so if CDA is 47 add the 3 degrees and see if CDE was a perfect line what answer would get you 180.

Answer:

Option (c) is correct.

Step-by-step explanation:

The four pieces of wood are 36 in., 36 in., 37 in. and z in.

The mean length of the pieces of woods are 36 in

We need to find the length of the fourth piece of wood.

Mean = sum of data/total no of data

[tex]36=\dfrac{36+36+37+z}{4}\\\\144=109+z\\\\z=144-109\\\\z=35\ in.[/tex]

So, the length of fourth piece is 35 inches. Hence, the correct option is (c).

Answer:

The point-slope form is y-4=2*(x+6) and the slope intercept form is y=2x+16

Answer:

$2.88

Step-by-step explanation:

Answer:

I:  82.1

Step-by-step explanation:

Answer:

The principle amount = P = $ 2334.92

Step-by-step explanation:

Given

Interest amount I = Rs 367.75

Time period t = 4½ = 9/2 = 4.5 years

Interest rate r = 3½ % = 7/2% = 3.5% = 0.035

To determine

Principal P = ?

Using the simple interest formula

I = Prt

where

I = Interest amount

r = Interest rate

t = time in years

substituting I = Rs 367.75, t = 4.5 years, r = 0.035 in the equation

I = Prt

P = I / rt

   =  [367.75] / [(0.035)(4.5)]

P = $ 2334.92    

Therefore, the principle amount = P = $ 2334.92    

Answer:

8/12 = 2/3 or 66.7%

Step-by-step explanation:

maths

Answer:

-15x + 28y

Step-by-step explanation:

-3x + 7y + 21y - 12x

= -15x + 28y

Answer:

-15x+28y

Step-by-step explanation:

Answer:

The three angles are 84º, 30º, and 66º. You multiply the ratio 14:5:11 by 6º.

Step-by-step explanation:

The sum of a triangle's interior angles is 180º. From the information we know:

Now we can say that the three angles are 14(6)=84º, 5(6)=30º, 11(6)=66º.

Answer:

Around 9 years or 9.3 to be exact.

Step-by-step explanation:

hat If you add up 10 and 4 (the average amount of weeks in a month). She makes 40$ a month and you multiply that by 12(months in a year). Annually, she makes 480$. You divide her annual income with 4,500$ and there's your answer of how long it will take!

Hope this helps. I could be wrong!

Answer:

3

Step-by-step explanation:

Since its an isosceles triangle, the two angles that have given values are equal. So in this case, you do k+5 = 2k+2

Solving that will result in k=3

Answer:

number 2

Step-by-step explanation: