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bagirrra123 [75]
3 years ago
8

What expression is equivalent to -9(-5z-2)-7

Mathematics
1 answer:
trapecia [35]3 years ago
4 0
Answer: 45z + 11

Explanation:

-9(-5z - 2) - 7
= 45z + 18 - 7
= 45z + 11
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kotegsom [21]
Where is the equation
3 0
3 years ago
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

3 0
3 years ago
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
tatuchka [14]

Answer:

The best estimate for the average rate of change is -2

Step-by-step explanation:

we know that

the average rate of change using the graph is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

f(a)=f(0)=0  

f(b)=f(4)=-8

a=0

b=4

Substitute

\frac{-8-0}{4-0}=-2

4 0
3 years ago
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What is the annual compound interest rate for an investment account modeled by the function y=12⋅1.18t ?
NikAS [45]

Answer:

The interest rate for the given investment is 18%.

Step-by-step explanation:

We are given that,

The function representing the investment model is, y=12(1.18)^t.

It is required to find the interest rate for the investment.

Since, the function can be re-written as,

y=12(1.18)^t

i.e. y=12(1+0.18)^t

So, on comparing with the formula for compound interest i.e. A=P(1+r)^t, where 'r' is the interest rate.

We have that,

The interest rate for the given investment is 0.18 i.e. 18%.

7 0
2 years ago
Write 98 as the product of prime factors in ascending order
umka2103 [35]

to write 98 as a product of its prime factors we have to first find the prime factors of 98

prime factors are prime numbers by which the given number can be divided by.

98 we have to keep dividing it by prime numbers

98 is an even number so we can first divide by 2

98 / 2 = 49

49 is a multiple of 7 which too is a prime number so we can divide 49 by 7

49/7 = 7

7 can be divided again by 1

7/7 = 1

98 is divisible by 2 and 7

so 98 written as a product of prime factors is

98 = 2 x 7 x 7

4 0
2 years ago
Read 2 more answers
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