(20 POINTS)which equation best matches the model of the sum of the fraction​

Answer:

option D. 10

Step-by-step explanation:

[tex]\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10[/tex]

Answer:

x = 10

Step-by-step explanation:

[tex] \dfrac{34}{85} = \dfrac{4}{x} [/tex]

Cross multiply.

34x = 4 × 85

34x = 340

Divide both sides by 34.

x = 10

Answer:

102 degrees

Step-by-step explanation:

Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.

41+37+x = 180

78 + x + 180

x = 102

Answer:

t > 28

Step-by-step explanation:

Given

> 7 ( multiply both sides by 4 to clear the fraction )

t > 28

Answer:

[tex]t > 28[/tex]

Step-by-step explanation:

Multiply both sides of the inequality by 4:

[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]

Reduce the number with the greatest common factor 4:

[tex]t > 4 \times 7[/tex]

Multiply the number:

[tex]t > 28[/tex]

Answer:50,400

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

Half of $36 would be $18. $18 divided by 3 would be $6. $6 times 2 would be $12. Half comes from the 1/2 of money spent on Thursday. Dividing it by 3 comes from the remainder on Wednesday. We divide it by 3 since the denominator of 2/3 is 3. We then multiply it by 2, since the numerator in 2/3 is 2.

Answer:

A

Step-by-step explanation:

Total amount of faces of object = 6

Surface area = length x height

2(4*10) + 2(10*17) + 2(4*17)

=2(40) + 2(170) + 2(68)

= 80 + 340 + 136

= 556cm^2

Answer:

61

Step-by-step explanation:

180 - 119 =

Answer:

D, 144

Step-by-step explanation:

Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.

Answer:

H. AB < AD

Step-by-step explanation:

_________________

11^2 = h^2 + ( 14/2)^2

11^2 = h^2 + 7^2

121 = h^2 + 49

h^2 = 121 - 49

h^2 = 72

h = √72

Answer:

1/6

Step-by-step explanation:

fraction of water = 1 - (1/2 + 1/3)

)[tex]\frac{1}{2} + \frac{1}{3}[/tex]

[tex]\frac{3 + 2}{6}[/tex]

5/6

1 - 5/6

6/6 - 5/6 = 1/6

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

Answer:

28:12

Step-by-step explanation:

You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

Answer:

95 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You just substitute the values in for A and B and then you simplify

The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182

hope this helped

Answer:

182

Step-by-step explanation:

First, plug in 17 for a

10·17+b=170+b

Then plug in 12 for b

170+12=182

There you go!

182

Answer:

15.85%

Step-by-step explanation:

Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.

Given mean (μ) = 41 months, standard deviation (σ) = 5 months

One standard deviation = μ ± σ = 41 ± 5 = (36, 46)

Therefore 68% falls within 36 months and 41 months

Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)

Therefore 95% falls within 31 months and 51 months

Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)

Therefore 99.7% falls within 26 months and 56 months

The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%

Answer:

About 1.625

Step-by-step explanation:

I believe it is 1.625

( 2^2 + b^2 = 5^2 )

Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.

Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.

Answer:

12*8.49*8.49 = 8649612in^3

Step-by-step explanation:

Answer:

the bro ik

Step-by-step explanation:

yup yup yup bri

Answer:

heyyyy

Step-by-step explanation:

Answer:

I think it is (7,5)

Step-by-step explanation:

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume is length times width times height

V = l*w*h

V = 4*4*4

V = 64 cm^3

Answer:

64

Step-by-step explanation:

4x4x4=64

Answer:

9

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

x - 4 = -3

(add 4 to both sides)

x - 4 + 4 = -3 + 4

x = 1

Answer:

x = 1

Step-by-step explanation:

So you have to separate the x from the rest of the equation

so you can add 4 to both sides so x is by itself

so ur left with:

x = -3 + 4

and that is equal to x = 1

Hope that helps :)

Answer:

5.670

Step-by-step explanation:

To compute 1.35 x 4.2

First, we need to convert both decimals to fraction

1.35 = 135/100

4.2 = 42/10

Taking the product

1.35 x 4.2

= 135/100 * 42/10

= (135*42)/(100*10)

= 5670/1000

= 5.670

Hence the product of both numbers is 5.670