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2 years ago

Two numbers are in the ratio 3/4. If 4 is subtracted from each they are in the ratio of 5/7. Find the numbers!

Mathematics

1 answer:

frosja888 [35]2 years ago

3 0

Answer:

The two numbers are 24 and 32

Step-by-step explanation:

We can use the variable x

3x : 4x, would be a ratio of 3/4

now subtract 4 from both

3x - 4 : 4x - 4 = 5/7

3x-4 / 4x-4 = 5/7

cross multiplication

7(3x - 4) = 5(4x - 4)

21x - 28 = 20x - 20

x = 8

Two numbers are;

3x, 4x

3(8), 4(8)

24, 32

24/32 = 3/4

20/28 = 5/7

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Martiza is playing a computer game to help her learn about science. Her scores for six games were 11, 12,10,8,14, and 15

nordsb [41]

Answer:

Points she needs to earn on the next game = 14

Step-by-step explanation:

Martiza scores for six games were 11, 12,10,8,14, and 15.

(11+12+10+8+14+15+x)/7=12

(70+x)/7 = 12

Multiply both sides by 7

(70+x)/7 *7 = 12*7

70+x = 84

Combine the constants:

x=84-70

x = 14

Points she needs to earn on the next game = 14....

8 0

3 years ago

Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide segment AB into a 2:3 r

GrogVix [38]

Answer:

$x=\dfrac{2}{5}\times (2+3)-3$

Step-by-step explanation:

The given ratio is 2:3.

x₁ = -3, x₂ = 2

We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

$x=\dfrac{a}{a+b}(x_2-x_1)+x_1$

Put all the values,

$x=\dfrac{2}{2+3}(2-(-3))+(-3)\\\\=\dfrac{2}{5}\times (2+3)-3$

Hence, the correct option is (d).

5 0

3 years ago

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Nana76 [90]

Box 1 : 2
Box 2: 3
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8 0

3 years ago

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Ariah has a hot air balloon. When full, the balloon is a sphere with a radius of 9 meters. She fills it with hot air whose densi

Anika [276]

Answer:2748

Step-by-step explanation:

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3 years ago

Find two conservative integers whose sum is 67

Charra [1.4K]

Answer:I got 33 and 34

Explanation:

Call your integers n and n+1 we get:

n+n+1= 67

rearrange:

2n = 66

n=66/2 = 33

The integers will be 33 and 34

7 0

3 years ago