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Elina [12.6K]
3 years ago
14

Each boy in a class has 7 pockets and each girl in that class has 11 pockets. How many boys and how many girls are there in this

class if there are 147 pockets and 17 heads?
Mathematics
1 answer:
amm18123 years ago
5 0
7 girls, because 11(7)+7(10)+147
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Dave is a builder. Yesterday he made mortar mix. He used 24kg of sand and 5kg of cement. Today he needs to make the same type of
polet [3.4K]

Answer:

7.5 kg

Step-by-step explanation:

Ratio of sand to cement = 24kg : 5kg

Today he needs to make the same type of mortar mix, but he will use 36kg of sand.

Let

x = quantity of cement used

Ratio of sand to cement = 36 kg : x kg

Equate both ratios

24 kg : 5 kg = 36 kg : x kg

24/5 = 36/x

Cross product

24 * x = 5 * 36

24x = 180

x = 180/24

x = 7.5

x = quantity of cement used = 7.5 kg

4 0
3 years ago
Alyssa started hiking at an elevation of 1500ft. After 2 hours, she was at 1200ft. Which integer desceibes her change in elevati
SpyIntel [72]

Answer:

-300.

Step-by-step explanation:

First, you'd have to subtract 1500 from 1200. This gives you 300, but since she is descending rather than ascending, the number is negative rather than positive.

7 0
4 years ago
Read 2 more answers
Write a sine or cosine function for the data set
dmitriy555 [2]

Answer:

though this is difficult i know you would get it. Anyhow im real tired... will solve later... gl

5 0
4 years ago
Perform the indicated operation and simplify the result.
Finger [1]

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4        28+7a

------------------ * --------------------

9a^2 -6a+1         a^2 -16

Factor

(3a-1)(a-4)           7(4+a)

------------------ * --------------------

(3a-1) (3a-1)        (a-4)(a+4)

Cancel like terms

1                    7

------------------ * --------------------

(3a-1)                  1

Leaving

7/ (3a-1)

3 0
3 years ago
Prove that 5^7+5^6 is divisible by 6.
pishuonlain [190]

Answer:

The Proof for 5^{7}+5^{6}\ is\ divisible\ by\ 6 is below.

Step-by-step explanation:

To Prove:

5^{7}+5^{6}\ is\ divisible\ by\ 6

Proof:

We know law of indices

a^{m}.a^{n}=a^{m+n}

Therefore,

Step 1: Applying law of indices

\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}

Step 2: Taking common 5^{6} we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})

Step 3: 5^{1} = 5 so add 5 + 1 we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}

Step 4: Cancel 6 from both denominator and numerator we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6} ...That is Divisible by 6 Proved

7 0
3 years ago
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