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3 years ago

Can someone help me with this please ?

Mathematics

1 answer:

Arturiano [62]3 years ago

3 0

3. (x + 1)/4 = 3 / 6
x + 1 = 3/6 x 4 = 2
x = 1

Scale factor = 6 / 4 = 1.5

Ratio of perimeters = 2 : 3

4. x / 21 = 20 / 15
x = 20 / 15 x 21 = 28

Scale factor = 20 / 15 = 4/3

Ratio of perimeters = 3 : 4

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What is 4 divided by 1/8

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Answer:

Step-by-step explanation:

4/(1/8)

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Tanya spent 1/5 of her allowance on candy and 2/3 on food. What fraction of her allowance did Tanya spend on food and candy alto

kari74 [83]

13/15 of her allowance was spent in total.

To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.

Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.

Then, you add the two fractions together (10/15 + 3/15 = 13/15).

Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.

Hope this helped!!!

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3 years ago

Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3

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Steps:
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3 years ago

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snow_lady [41]

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. $\frac{x}{2} + 6x$

if x = -12

$\frac{(-12)}{2} + 6(-12)$

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. $-10x + \frac{4}{x}$

If x = -2

$-10(-2) + \frac{4}{-2}$

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

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11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. $\frac{5}{2}(x - 6) + 4$

if x = 8.

$\frac{5}{2}(8 - 6) + 4$

$\frac{5}{2}(2) + 4$

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

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16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

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3 years ago

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Answer:

Step-by-step explanation:

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