Which solid figure has one polygon base? cone cylinder pyramid prism

Mrs Johnson has $110 to spend on parking will cost $12 and admission tickets will cost $140 per person including tax

Vaselesa [24]

The answer is Ms Hernandez can bring up to 6 people to the zoo.

x - the number of people that she can bring to the zoo

The parking will cost $7: a = 7

Admission tickets will cost $15.50 per person: b = 15.50x

She can spend on parking and admission tickets $100:

a + b ≤ 100

a = 7

b = 15.50x

7 + 15.50x ≤ 100

15.50x ≤ 100 - 7

15.50x ≤ 93

x ≤ 93 / 15.50

x ≤ 6

5 0

4 years ago

Solve 2 ÷ x =5

Volgvan

So to help with the first one
2 / x = 5
multiply the x on both sides
2 = 5x
divide by 5 to isolate the x
2/5 = x

For the second one
We will use the diamond to help us find the common factor
\ 1 /
\ /
\ /
2 / \ 4
/ 3 \
/ \

1) the product
2) and 4) the two numbers
and 3) is sum

10 is the product and -7 is the sum
so what two numbers (factors of 10)
will equal -7 when added

so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum
10*1, 2*5, -1*-10, -2*-5
if we add the two numbers we will find respectively
11, 7, -11, -7
As you can see that -2 + -5 = +10 and -2+-5= +10
So we have found the two numbers
now before we factor the expression looks like
( x + a) (x + b)
and when factored looks like
x^2 + (a+b)x + (a*b)
Now we can plug in the numbers and solve to see if -2 and -5 are right
(x + -2) (x + -5)
we will factor it
x^2 +-5x + -2x + 10
x^2 + -7x + 10
so a = -2 and b = -5

Hope this helps :)

5 0

3 years ago

My cousin borrowed $15,000 for a new car loan for 5 years. He told me that at the end of the loan, he had paid $21,000 for the i

Umnica [9.8K]

To solve this problem we are going to use the simple interest formula: $A=P(1+rt)$
where
$A$ is the sum of the interest and the principal
 $P$ is the principal
$r$ is the interest rate in decimal form
$t$ is the time in years

We know for our problem that $A=21000$ , $P=15000$ , and $t=5$ . Now, let $x$ represents our interest rate. To express the interest rate in decimal form, we are going to divide the rate by 100%:
$r= \frac{x}{100}$
$r=0.01$ .
Now that we have all the values we need, lets replace them in our simple interest formula to find the interest rate:
$A=P(1+rt)$
$21000=15000[1+(0.01x)(5)]$
$\frac{21000}{15000} =1+0.05x$
$1+0.05x=1.4$
$0.05x=0.4$
$x= \frac{0.4}{0.05}$
$x=8$

We can conclude that the interest rate of your cousin's loan was 8%.

4 0

3 years ago

Read 2 more answers

What is the measure of ∠EFG in the triangle shown?

bagirrra123 [75]

Answer:

B

Step-by-step explanation:

57+65= 122

180-122= 58

5 0

3 years ago