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Marysya12 [62]
3 years ago
12

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Grace [21]3 years ago
3 0
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
\frac{42}{(15 + 42)} = \frac{x}{10 + x}

Simplify:
\frac{42}{57} = \frac{x}{10 + x}
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

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William is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each
Mice21 [21]

The point (1, 20) means that the total money spent for purchasing one ticket is $20.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total money spent for buying x number of tickets.

The point (1, 20) means that the total money spent for purchasing one ticket is $20.

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
Algebraic models grade 12 math college please write the answers without explaining thank you.
Zinaida [17]

From the problem :

6^4\times6^{-5}

In multiplying expressions with the same bases, the exponent will be added accordingly.

For example :

a^m\times a^n=a^{m+n}

the exponent of a are m and n, and the product will be a raised to the sum of m and n.

Applying this to the problem, we have :

6^4\times6^{-5}=6^{4-5}=6^{-1}

The answer is d. 6^-1

6 0
1 year ago
What is 10.26 with 8% tax
sleet_krkn [62]

Answer:

$11.08 to the nearest penny

Step-by-step explanation:

So I do it like

10.26 is 100 percent

We’re adding 8 percent so technically multiplying by 108

SO 10.26*108 is 11.08 to the nearest penny

It so much easier, easy 1 step

8 0
3 years ago
Read 2 more answers
The night watchman in a factory cannot guard both the safe in back and the cash register in front. The safe contains $6000, whil
Zolol [24]

Answer:

The guard should be positioned at the safe

Step-by-step explanation:

The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.

The expected value of robbing the safe is:

EV_{s} = \$ 6000*0.2\\EV_{s} = \$ 1200

The expected value of robbing the cash register is:

EV_{r} = \$ 1000*0.8\\EV_{r} = \$ 800

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.

7 0
3 years ago
Write all the factors of 24:
DerKrebs [107]
The factors are just numbers that can be multiplied to receive the number that is given.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
7 0
3 years ago
Read 2 more answers
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