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Mathematics

2 answers:

Vladimir [108]3 years ago

4 0

Number 15- The total is 350
A discount of 70% off
The answer : 245

natita [175]3 years ago

3 0

I answered number 14. I did 5,000x.8 (for 8%), which have $400, then add that to the original price and you have 5,400.000, your answer is B

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Ryan needs to drive 25 miles to work. So far, he has driven 4.2 miles. How many more miles must he drive?

maksim [4K]

${\underline{\orange{\textsf{\textbf{ Answer : }}}}}$

➡ He must drive 20.8 miles now.

4 0

3 years ago

Read 2 more answers

What is x given ABC~DBE. Show your work

alexandr1967 [171]

x = 37.5 (or) $\frac{75}{2}$

Solution:

Given $\triangle A B C \sim \triangle D B E$

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$$\frac{BE}{BC} =\frac{DE}{AC}$

$$\frac{x}{25+x} =\frac{30}{50}$

Do cross multiplication, we get

$50x=30(25+x)$

$50x=750+30x$

Subtract 30x from both sides of the equation.

$20x=750$

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) $\frac{75}{2}$

Hence the value of x is 37.5 or $\frac{75}{2}$ .

5 0

4 years ago

12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).

zhenek [66]

Understanding:

The sum of a geometric series is, $a+ar+ar^2+ar^3+...$ , with a being the start point and r is the common ratio. We can also use the following formula to make life easier $S_n=a\frac{1-r^n}{1-r}$ , a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.