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3 years ago

For the following equation, what would you do first? -8n+4(1-5n)=-6n-14

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Answer:

1-5n

Step-by-step explanation:

you would do 1-5n because its in brackets, the order of opperation is

Brakcets

Order (Power ofs)

Division and Mulitplication

then do addition and subtraction

when doing division and multiplication and subtraction and addition go left to right to find what part goes 1st.

Hope this helped!

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9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

3 years ago

Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in.

OLEGan [10]

Answer:

A) 36 inches

36 Incheon is the correct answer

7 0

3 years ago

Read 2 more answers

What is the distance between the points (-1,-9) and (4,-2)?

Crank

$\sqrt{74}$ , or 8.60

Just use the distance formula

4 0

3 years ago

A certain pickup truck gets 20mpg in the city and 28 mpg on the highway. If the driver drives 270 mi on 11 gal of gas, determine

Snezhnost [94]

Answer:

95 city and 175 highway miles.

Step-by-step explanation:

The driver gets 20 mpg in city, and 28 mpg on the highway.

An equation that could be written is

20x+28y=270

This equation accounts for the distance traveled.

x+y=11

This equotion accounts for how many gallons were driven.

Multiply the bottom equation by 20, so you can solve the set of equations.

20x+28y=270

20x+20y=220

subtract them

8y=50

y=6.25

now plug this back into x+y=11

x+6.25=11

x=4.75

Now 4.75×20=95 city miles and 6.25×28=175 highway miles.

8 0

4 years ago

Solve for x.38(2x+16)−2=13 Enter your answer in the box.x =

lys-0071 [83]

Given:

$\frac{3}{8}(2x+16)-2=13$ $\frac{3}{8}(2x+16)=13+2$ $\frac{3}{8}(2x+16)=15$ $(2x+16)=15\times\frac{8}{3}$ $(2x+16)=40$ $2x=40-16$ $2x=24$ $x=\frac{24}{2}$ $x=12$

5 0

1 year ago