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LuckyWell [14K]
3 years ago
10

Rewrite the expression with the given base. 25^3x with a base of 5.

Mathematics
1 answer:
svp [43]3 years ago
6 0
Use\ (a^n)^m=a^{nm}\\\\25^{3x}=(5^2)^{3x}=5^{2\cdot3x}=5^{6x}
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What value of x makes the following equation true 4+3x=160
Alexxandr [17]

Answer:

x=52

Step-by-step explanation:

160=4+3x

Subtract 4 from both sides

156=3x

Divide 3 from both sides

x=52

6 0
3 years ago
17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
maksim [4K]

Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y)   =   8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8   when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

4 0
3 years ago
Read 2 more answers
Please help!!
postnew [5]

2  \frac{5}{8}  \div 2  \frac{1}{2}
Change the mixed fractions to improper fractions.
To do this, multiply the whole number part by the denominator. Add that to the numerator. Then write the result on top of the denominator.

You would now have:
\frac{21}{8}  \div  \frac{5}{2}
Change the division sign to a multiplication sign by turning the second fraction upside down.
That is,
\frac{21}{8}  \times  \frac{2}{5}

The answer is:
\frac{42}{40}

This can be simplified to:
\frac{21}{20}



8 0
3 years ago
Somebody help me with this question
vampirchik [111]
I think u do 3•5 then divide by 110
3 0
3 years ago
Read 2 more answers
What is the area of the square units ? W (11,2), X (11,8), Y (14,8), Z (14,2)
aleksklad [387]

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

3 0
2 years ago
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