All categories

2 years ago

Which expression correctly represents “six more than the product of five and a number, decreased by one”?

Mathematics

1 answer:

Nataly_w [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Product of 5 and a number: 5n

Six more than that would be 5n + 6

Finally, "six more than the product of 5 and a number, decreased by one" would be

5n + 6 - 1, or 5n + 5

You might be interested in

Max worked 13 hours last week at the grocery store and earned $94.25.If he only worked 5 hours this week, how much money did he

Marrrta [24]

ANSWER: $36.25

Explanation: First find the rate. Divide $94.25 by 13 (hours) to get the rate. Now you know that Max earns $7.25 each hour he works. Multiply his hourly rate by 5 (hours) to get how much Max earns in five hours.

6 0

3 years ago

On a given day, 36 of the 445 students in a school were absent. What was the appproximate absentee rate that day?

Nata [24]

Answer: The approximate absentee rate that day would be 8.09%.

Step-by-step explanation:

Since we have given that

Number of students who were absent = 36

Total number of students = 445

We need to find the approximate absentee rate that day :

Rate of absentee of that day would be

$\dfrac{\text{Number of absentee}}{\text{Total number of students}}\times 100\\\\=\dfrac{36}{445}\times 100\\\\=8.09\%$

Hence, the approximate absentee rate that day would be 8.09%.

5 0

2 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

1. Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.

zlopas [31]

1. C
L=1/2(Pxl)
L=1/2(20x9)
L=1/2(180)
L=90

SA=1/2(Pxl)+B
SA=90+5^2
SA=115

B, A, C, B.

6 0

2 years ago

a rider sits on a motorcycle . the motorcyle has amass of 237 kilograms . the rider has a mass of 89 kilograms. what is the tota

Tanya [424]

THe rider and the motorcycle mass togther will be 326.

237+89=326

4 0

2 years ago