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Ivan
3 years ago
13

Solve the proportion. 2/15 = x/60 a. 450 b.8 c.4 d.30

Mathematics
1 answer:
Bess [88]3 years ago
6 0
2/15==x/60

Multiplly
60*2= 120
now divide
120/15= 8

x=8
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The local movie theater charges $13 for adult tickets and $7 for children’s tickets. Yesterday they sold 115 tickets and made $9
xxMikexx [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Find the value of x. <br> a) x=109 <br> b) x=115<br> c) x=95<br> d) x=129
NeX [460]

Answer:

A 109

Step-by-step explanation:

Pentagram's angles add up to 540. After subtracting all the other angles, you are left with 109.

3 0
3 years ago
Read 2 more answers
What is the expression in factored form?x^2+13x+14
nydimaria [60]

Answer:

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

Step-by-step explanation:

To factor the expression x^2+13x+14 you need to know its roots.

First find the discriminant of this quadratic polynomial:

D=13^2-4\cdot 1\cdot 14=169-56=113.

Then the roots of the expression x^2+13x+14 are

x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.

Now the factored form is

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

8 0
3 years ago
You invested $ 7000 between two accounts paying 3 % and 5 % annual? interest, respectively. If the total interest earned for the
natita [175]

Answer:

In the first account was invested \$3,000  at 3%

In the second account was invested \$4,000  at 5%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

First account

t=1 years\\ P=\$x\\ r=0.03

substitute in the formula above

I=x(0.03*1)

I=0.03x

Second account

t=1 years\\ P=\$(7,000-x)\\ r=0.05

substitute in the formula above

I=(7,000-x)(0.05*1)

I=350-0.05x

Remember that

The interest is equal to \$290

so

Adds the interest of both accounts

0.03x+350-0.05x=\$290

0.05x-0.03x=350-290

0.02x=60

x=\$3,000

therefore

In the first account was invested \$3,000  at 3%

In the second account was invested \$7,000-\$3,000=\$4,000  at 5%

7 0
3 years ago
(3m±4/5n)2<br>solve this question<br>​
sukhopar [10]

Answer:

(3m-4/5)2  

Final result :

 (15m - 4)2

 ——————————

     52    

Step by step solution :

Step  1  :

           4

Simplify   —

           5

Equation at the end of step  1  :

        4

 (3m -  —)2

        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          3m     3m • 5

    3m =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4)     15m - 4

————————————  =  ———————

     5              5    

Equation at the end of step  2  :

 (15m - 4)

(—————————)2

     5    

Step  3  :

Final result :

 (15m - 4)2

 ———

     52    

Step-by-step explanation:

5 0
3 years ago
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