WRITE EACH PROPORTION:
1: 48 is to 32 as 3 is to 2
2: 6 adults is to 10 children as 18 adults is to 30 children.
3: If 12 pens cost $4, then 33 pens will cost $11.

Answer:

A. 80°

Step-by-step explanation:

The two angles are consecutive angles. Sum of consecutive angles is 180°.

Answer: 28 students

Step-by-step explanation:

9514 1404 393

Answer:

 (B)  4

Step-by-step explanation:

Consider the units column. The only sum of 3 and a single digit that will end in 1 is the sum ...

  3 + 8 = 11

This tells you A = 8, so the top number is 1983, and the middle number is B78.

Considering the first two columns, we know that 83 +78 = 161, so there must be a carry of 1 into the third column. That makes it have the sum ...

  1 + 9 + B = <something ending in 4>

We know the something cannot be 04 or 24, so must be 14. Then ...

  10 + B = 14   ⇒   B = 4

__

So, the whole sum is ...

  1983 +478 = 2461

and the letter values are ...

Answer:

B is 4.

Step-by-step explanation:

If we start by the ones place and add we know that to get a one the total must be 11. 11-3 = 8.  Therefore A = 8.

Now we move to the tens place, since we know A is 8 we can substitute it there.  Don't forget to add the one from the 11 we got. 1+8+7 = 16

Now we move to the hundreds place and we carry our one from 16 so now it's 1 + 9 + ? = 4, if we know that our total needs to be 14 in order to have the 4 there- 1 + 9 is 10 we can do 10 + 4 and that gets us 14. So B is 4.

Answer:

Step-by-step explanation:

The formula for the y-intecept form is [tex]y=mx+b[/tex]

Plugin the m and the b we have

[tex]y=-4x+5[/tex]

Answer:

y=-4x+5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

One x ➡️ One y

(from the question)

Answer:

[tex](8,-9)[/tex]

Step-by-step explanation:

If the x-coordinate of R is 6 units away from D's x-coordinate, then so will J's x-coordinate. If the y-coordinate of R is 8 units away from D's y-coordinate, then so will J's y-coordinate.

Side note/Extra information:

The line would be [tex]y=\frac{-4}{3} x+\frac{5}{3}[/tex]

Answer:

i don't understand your question

Answer:

2.63340641 × 10109 m13 / s13

[tex]4xy+3x+2y-7+6xy+2x+7=\\\\=4xy+6xy+3x+2x+2y-7+7=\\\\=\boxed{10}xy+\boxed{5}x+\boxed2y+\boxed0[/tex]

Answer:

[tex]x=-1,\displaystyle \frac{5}{3}[/tex]

Step-by-step explanation:

Hi there!

[tex]6x^2=4x+10[/tex]

Move 6x^2 to the other side of the equation:

[tex]0=-6x^2+4x+10[/tex]

Divide both sides by -2:

[tex]0=3x^2-2x-5[/tex]

Factor by grouping:

[tex]0=3x^2+3x-5x-5\\0=3x(x+1)-5(x+1)\\0=(3x-5)(x+1)[/tex]

Apply the zero product property:

[tex]3x-5 = 0\\3x=5\\\\x=\displaystyle \frac{5}{3}[/tex]

[tex]x+1=0\\x=-1[/tex]

Therefore, x = -1, 5/3.

I hope this helps!

Answer:

2550 is the answer to the question

Answer:

Rational

Step-by-step explanation:

Answer:

Brainliest is appreciated

Step-by-step explanation:

the square of 3 is 9 and the square of 2 is 4 so

9 + 4 = 13 which is not an even number

Answer:

$24

Step-by-step explanation:

h x 5 = 30

h = 6

30 - 6 = 25

1 In general, given

a

x

2

+

b

x

+

c

ax

2

+bx+c, the factored form is:

a

(

x

−

−

b

+

b

2

−

4

a

c

2

a

)

(

x

−

−

b

−

b

2

−

4

a

c

2

a

)

a(x−

2a

−b+

b

2

−4ac

​

​

)(x−

2a

−b−

b

2

−4ac

​

​

)

2 In this case,

a

=

3

a=3,

b

=

−

54

b=−54 and

c

=

343

c=343.

3

(

y

−

54

+

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

(

y

−

54

−

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

3(y−

2×3

54+

(−54)

2

−4×3×343

​

​

)(y−

2×3

54−

(−54)

2

−4×3×343

​

​

)

3 Simplify.

3

(

y

−

54

+

20

3

ı

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

54+20

3

​



​

)(y−

6

54−20

3

​



​

)

4 Factor out the common term

2

2.

3

(

y

−

2

(

27

+

10

3

ı

)

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

2(27+10

3

​

)

​

)(y−

6

54−20

3

​



​

)

5 Simplify

2

(

27

+

10

3

ı

)

6

6

2(27+10

3

​

)

​

to

27

+

10

3

ı

3

3

27+10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

54

−

20

3

ı

6

)

3(y−

3

27+10

3

​



​

)(y−

6

54−20

3

​



​

)

6 Factor out the common term

2

2.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

2

(

27

−

10

3

ı

)

6

)

3(y−

3

27+10

3

​



​

)(y−

6

2(27−10

3

​

)

​

)

7 Simplify

2

(

27

−

10

3

ı

)

6

6

2(27−10

3

​

)

​

to

27

−

10

3

ı

3

3

27−10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

27

−

10

3

ı

3

)

3(y−

3

27+10

3

​



​

)(y−

3

27−10

3

​

I hope this help you

​

Answer:

x = 5

Step-by-step explanation:

(5) + 20/2 = 3(5)

Hope it helps

Answer:

the answer is 8.

Step-by-step explanation:

140/29, then subtract that answer from 12 :)

Answer:

Other side = 60

Perimeter = 150

Step-by-step explanation:

Using Hypothenuse formula

25²+B²=65²

625+B²=4225

B²=4225-425

B²=3600 (Bring Square to the other side to become Square root)

B=√(3600)

B=60

Perimeter:(Sum of all side)

60+65+25

150

Answer:

[tex] -( x) + 2 = 2(3x - 6) \\ - x + 2 = 2 \times 3x - 2 \times 6 \\ - x + 2 = 6x - 12 \\ x \: terms \: togther \\ - x - 6x = - 12 - 2 \\ - 7x = - 14 \\ x = \frac{ - 14}{ - 7} = 2 \\ x = 2 \\ thank \: you[/tex]

Answer:

[tex]8a^{10}b^{7}[/tex]

Step-by-step explanation:

[tex]([/tex][tex]4a^{4}[/tex][tex]b^{5}[/tex][tex])[/tex] × [tex]([/tex][tex]2[/tex][tex]a^{3}[/tex][tex]b[/tex][tex])^{2}[/tex]

[tex](4a^{4} b^{5} )[/tex] × [tex](2a^{6}b^{2})[/tex]

[tex]8a^{4}b^{5}a^{6}b^{2}[/tex]

[tex]8a^{10}b^{7}[/tex]

Solving for a variable in an equation means that we want to make the variable the subject of the formula. The equation of C is: [tex]C = 0.04R + 0.06[/tex]

Given that:

[tex]R = 5(5C - 0.3)[/tex]

To solve for C, means that we make C the subject.

Divide both sides by 5

[tex]\frac R5 = 5C - 0.3[/tex]

[tex]0.2R = 5C - 0.3[/tex]

Add 0.3 to both sides

[tex]5C = 0.2R + 0.3[/tex]

Divide both sides by 5

[tex]C = 0.04R + 0.06[/tex]

Hence, the equation of C is:

[tex]C = 0.04R + 0.06[/tex]

Read more about subject of formula at:

https://brainly.com/question/17148850

Answer:

30 pushups

Step-by-step explanation:

25/100 = x/120

so, 120x25 = 100x

3000 = 100x

3000/100= x

x = 30

so, Lauren has completed 30 push-ups.

Answer:

Above is the answer for this question. Thank you!

Answer:

h = 5

Step-by-step explanation:

area = 1/2 base × hight

base = 3 +h

hight =9 + 6 = 15

60 = 1/2 × 15 × (3+h)

120/15 = 3 + h

8 = 3 + h

h = 5

Answer:

h = 5

Step-by-step explanation:

The value of h can be obtained by using area of triangle formula as well as distance formula.

[tex]A(\triangle ABC) =\frac{1}{2} \times AB\times AC \\ \\ 60 = \frac{1}{2} \times \sqrt{ {( - 3 + 3)}^{2} + (9 + 6) ^{2} } \\ \times \sqrt{ {(h + 3)}^{2} + {(9 - 9)}^{2} } \\ \\ 60 \times 2= \sqrt{ {( - 0)}^{2} + (15) ^{2} } \\ \times \sqrt{ {(h + 3)}^{2} + {(0)}^{2} } \\ \\ 120= \sqrt{ 0 + (15) ^{2} } \times \sqrt{ {(h + 3)}^{2} + 0 } \\ \\ 120= \sqrt{ (15) ^{2} } \times \sqrt{ {(h + 3)}^{2} } \\ \\ 120 = 15(h + 3) \\ \\ \frac{120}{15} = h + 3 \\ \\ 8 = h + 3 \\ \\ h = 8 - 3 \\ \\ h = 5[/tex]

Answer:

-3+4=1

Step-by-step explanation:

Start with whichever arrow starts from 0

Answer:

6/5 or 1 and 1/5

Step-by-step explanation:

To do this you need to multiply 6/1, 2/3, and 3/10 all together by cancelling out the numerator in 3/10 and the denominator for 2/3. Then you would be left with 6*2*1/10

This simplifies to 6*1/5 because of the 2*1/10 is 1/5, because 1/5 doubled is 1/10.

then multiply the numerator and 6 together to get 6/5.

Hope this helps!