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3 years ago

What is the value of t in the equation? -3t – 4 (t – 5) = 48

Mathematics

2 answers:

torisob [31]3 years ago

8 0

Answer:

t = -4

Step-by-step explanation:

-3t – 4 (t – 5) = 48

Distribute

-3t -4t +20 = 48

Combine like terms

-7t +20 = 48

Subtract 20 from each side

-7t +20-20 = 48-20

-7t = 28

Divide by -7

-7t/-7 = 28/-7

t = -4

lys-0071 [83]3 years ago

5 0

Step-by-step explanation:

-3t-4t+20=48

-7t=28

t=-4

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What is 21 over 50 as a decimal

mel-nik [20]

21 over 50 is

21/50.

The same thing, just put 21 on top, a line under it, and below that line, put the 50

5 0

3 years ago

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. A triangular prism is s

Nastasia [14]

The height of the base is 12cm.

The approximate amount of cardboard used to make the candy box is 720 cm².

Given

A candy bar box is in the shape of a triangular prism.

The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

<h3>The volume of the prism;</h3>

The volume of a triangular prism is given by the formula;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height$

Part A: What is the height of the base?

The height of the base is given by;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm$

The height of the base is 12cm.

Part B: What is the approximate amount of cardboard used to make the candy box?

The approximate amount of cardboard used to make the candy box is given by;

$\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720$

The approximate amount of cardboard used to make the candy box is 720 cm².

To know more about triangular prism click the link given below.

brainly.com/question/17056191

7 0

3 years ago

Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to

monitta

Answer:

slope = 1/4

Step-by-step explanation:

If a equation is in form of y = mx + c

them m is the slope of line.

____________________________________________

Let Y(d) be the distance ran by Alexandria on dth day

Y(0) = 2

she adds 1/4 miles each day then

Y(1) = 2 + 1/4

Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)

Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)

similarly

in d days she can run 2 miles + 1/4*d miles

thus, we have

Y(d) = 2 + 1/4(d)

it can be also solved

Thus we see that it is a linear relationship y = 2 + 1/4(d)

which is in the form of y = mx + c

comparing mx to 1/4 d

we have m = 1/4

thus,

slope of this linear relationship is 1/4

8 0

3 years ago

In the measurement of 67.93 cm, which digit is estimated? click on the estimated digit

scoundrel [369]

When it comes to measurement, the most accurate estimate would be the whole number. A ruler has calibrated marks. It would be easy to locate 25. But when it is located between 25 to 26, you would have to estimate the decimal points. Generally, calibration marks are up to the tenths digit. For further digits, that would only an estimation. So, the estimated digit in this problem is 3 in the hundredths place.

8 0

3 years ago

PLS HELP ME IS EZZZZZ

Arte-miy333 [17]

Answer:

825.663706143591cm

Step-by-step explanation:

80cm × 4 = 320cm

100cm × 3 = 300cm

The radius is 40

40 × 2 = 80cm

Circumference is πd

π80 = 251.327412287183

÷ 2 = 125.663706143591cm

In total

320 + 300 + 80 + 125.663... =

825.663706143591cm

6 0

3 years ago