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Ket [755]
3 years ago
10

At the middle school, the number of boys to girls is 7:9. If there are 34 more girls than boys, how many boys and girls are ther

e
Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

boys=119, girls= 153

Step-by-step explanation:

let the number of boys and girls be 7x and 9x respectively

Then, ATQ

9x=7x+34

or, 9x-7x=34

or,2x= 34

or, x=17

therefore, the number of boys is 17×7=119

and number of girls is 17×9=153

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At what temperature (in k) will the density of this liquid be equal to 1.183 g/cm^3
Kobotan [32]

The temperature (in k) at which the density of this liquid will be equal to 1.183 g/cm³ is; 639.6 K

<h3>How to find the temperature from density?</h3>

We are given the formula for density as;

D = 1.246 g/cm³/(1 + 8.324 * 10⁻⁵ K⁻¹ × T)

Where D is density and T is absolute temperature (In K).

If we want a density of 1.183 g/cm³, then we have;

1.183 = = 1.246 g/cm³/(1 + 8.324 * 10⁻⁵ K⁻¹ × T)

Cross multiply to get;

1.183 + (1.183 * 8.324 * 10⁻⁵ * T) = 1.246

1.183 + 0.985 * 10⁻⁴T= 1.246

0.985 * 10⁻⁴T = 1.246 - 1.183

T = 0.063/( 0.985 * 10⁻⁴)

T = 639.6 K

Read more about Temperature and Density at; brainly.com/question/17231176

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3 0
2 years ago
Will the product of 2 2/5 x 1/6 be larger or smaller than 2 2/5
mars1129 [50]

Answer:

Smaller

Step-by-step explanation:

2 2/5 * 1/6 = 2/

5

= 0.4

Conversion a mixed number 2 2/

5

to a improper fraction: 2 2/5 = 2 2/

5

= 2 · 5 + 2/

5

= 10 + 2/

5

= 12/

5

To find a new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/

5

= 10/

5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12

c) Write a previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths

Multiple: 12/

5

* 1/

6

= 12 · 1/

5 · 6

= 12/

30

= 2 · 6/

5 · 6

= 2/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(12, 30) = 6. In the following intermediate step, cancel by a common factor of 6 gives 2/

5

.

In other words - twelve fifths multiplied by one sixth = two fifths.

8 0
2 years ago
12:27 AM Tue Apr 28
Verdich [7]

Answer:

the absolute value of |-13| is 13

Step-by-step explanation:

4 0
3 years ago
Triangles T1 and T2 are congruent.
Inessa [10]

The single transformation that can be used to map T₁ onto T₂ is Rotate T₁ 180° about the origin.

<h3>What transformation would map T₁ onto T₂?</h3>

When a shape is rotated 180° about the origin, it means that the points go from (x, y) to (-x, -y).

The points on T₁ if rotated 180° about the origin would go from:
(-2, -2) to (2, 2)

(5, -6) to (-5, 6)

(5,0) to (-5, 0)

These are the points of T₂ so the way to map T₁ on T₂ is to use a 180° about the origin.

Find out more on rotating about the origin at brainly.com/question/16200542

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3 0
2 years ago
Expand 5(2x-1) please I need it for homework.
7nadin3 [17]

10x-5

Answer:

5(2x-1)

5*2x 5*-1

10x-5

7 0
3 years ago
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