A ​258-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Answers

Answer 1

Answer:

43in

Step-by-step explanation:

Let the length of the pieces be x and y

Since the total length is 258in, then;

x+y = 258... 1

If One piece is five times the length of the other, then x = 5y ....2

Substitute 2 into 1

From 1:

x+y = 258

5y+y = 258

6y = 258

y = 258/6

y = 43

Since x = 258-y

x = 258-43

x = 215

Hence the length of the shorter piece is 43in


Related Questions

a one digit whole number greater than 0 is multiplied by 10^5. how many zeros will the product have?

Answers

Answer:

5

Step-by-step explanation:

Please help thank youu!

Answers

Answer:

the answer would be 11. bc 2 x 3=6 + 5= 11

U have to substitute the y for 3

Answer:Y = -7

Step-by-step explanation:

Some answer this please

Answers

Answer:

-15/4 = y

Step-by-step explanation:

3x-8y=39

3*3-8y=39

9-8y=39

y=-15/4

Evaluate the function for an input value of 3. f (x) = -4x^2 – 3x – 5

Answers

Answer:

-50

Step-by-step explanation:

Function given:

f(x) = -4x² – 3x – 5

Evaluate the function for an input value of 3

Input value is x = 3, output value is:

f(3) = -4(3²) – 3(3) – 5 = -4(9) - 9 - 5 = -36 - 14 = -50f(3) = -50

f(3)

-4(3)²-3(3)-5-4(9)-9-5-36-14-50

In 0.46, in which place is the 6?

Answers

Answer:

hundredths

Step-by-step explanation:

the 4 is in the tenth place therfore the 6 is in the hundredth place because it is 46/100

It is Hundredths
That place 6

circumference of a circle with a radius of 3 inches

Answers

Answer:

Step-by-step explanation:

To find the answer, multiply the radius by 2. Then, multiply that product by 3.14 to get the answer. You can do it! Have a great day!

Can someone help me with this please

Answers

Answer:

46.5

Step-by-step explanation:

With perimeter you can just add up all the sides.

C-D=7.4

D-E=14

E-F=12.1

F-C=13

     =46.5

HELP!!!! WILL GIVE BRAINLYIST

Answers

Answer:

1.071

Step-by-step explanation:

[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]

What is the solution to 85<-5x+5?

A. x < 16
B. x > 16
C. x < -16
D. x > -16​

Answers

Answer:C.  x < -16

Step-by-step explanation:

A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )

The line has slope 3 and passes
through the point (-2,-5).

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + b

-5 = 3(-2) + b

-5 = -6 + b

1 = b

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

A=13*6 -5*3

A=78-15

A= 63

Step-by-step explanation:

Step 1- 4×3=12

Step 2- 4×3=12

Step 3- 13×3=39

Step 4- 12+12+39=63

Answer-63cm^2

5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?

Answers

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

Need help answering this question.

Answers

Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

The height h, in feet, that an arrow will reach 1 seconds after being shot directly upward is given by the formula h = 1121 - 1612
How high will the arrow be after 4 seconds?

Answers

Answer:

4484 - 6448

Step-by-step explanation:

Given: 1 second = 1121 - 1612.

To find: How high the arrow will be after 4 seconds.

Solution:

If 1 second = 1121 - 1612, then 4 seconds = 4 × 1

4 × 1121 - 1612 = 4484 - 6448

Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.

Halley’s Comet can be seen from Earth every 75 years. What type of sequence is formed by the years Halley’s Comet can be seen? arithmetic geometric or neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Answer:

Arithmetic

next answer is 2061

Anybody who want extra points I can give it too you, NOT A JOKE I AM SERIOUS.
Just answer this question:

Answers

Answer:

? 40.50

Step-by-step explanation:

90 ÷ 20 × 9 = 40.5

Answer:

cost of 9article is 40.50

hope it helps.

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

II and III

Step-by-step explanation:

Causation always means coorelation, but corelation doesn't always mean causation.

Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.

Therefore, only II and III are correct.

Natalie's aunt gave her $47 to spend on clothes at the mall. She bought 4 shirts that cost $4 each and a pair of pants that cost $13. How much money does Natalie have left to buy more clothes?

Answers

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18

You decide to get an estimate on the cost of repairs for the green food truck. The mechanic explains that the cost of the repairs comes out to be about $9,500. This price includes the cost of labor and the cost of the parts needed to do the repairs. If labor costs are 3/5 the cost of the parts, how much would you save by doing the repairs yourself and just purchasing the parts?

Answers

Answer:

you save labor : 3562.50

Step-by-step explanation:

You want to calculate for labor.

labor = 3/5 (parts)

labor + parts = $9500 (total costs)

3/5 parts + parts =9500

3/5 parts + 5/5 parts = 9500

8/5 parts=9500

5/8(8/5 parts) = 5/8 (9500)

‘parts = 5937.50

labor=3562.50 (3/5 x 5937.50)

total = 9500

Solve using distributive property:
-2/5*3/2+5/3*9/10-3/2*4/5

Answers

Answer:

Answer Down Below

Step-by-step explanation:

The answer to your question is -0.3.

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Answers

Answer:

( -4 , 16 )

Step-by-step explanation:

1/2x + 18 =  5/2x + 26

-8 = 4/2x

-4 = x

so the lines cross at -4 x  so, then plug that number into either equation to see what y is

y = 1/2(-4) + 18

y = 16

DID I GET THIS RIGHT PLEASE HELP ITS DUE IN 10 MINUTES ( DONT GIVE ME A LINK PLEASE)

Answers

Answer:

yes that is

Step-by-step explanation:

Find the value of $x$ . Round your answer to the nearest tenth.

A right-angled triangle facing downward, shortest side labeled x, second side labeled 15 and angle on the second side is labeled 27 degrees.
$x\approx$

Answers

Tan(angle) = Opposite / adjacent

Tan(27) = x/15

x = 15 * tan(27)

x = 7.6

use the difference of two squares to find the value of 612 - 392​

Answers

Answer: 4 (153 - 98)

formula is a^2-b^2=(a+b)(a-b)

factor out the GCF:

4(153−98)

both terms are not perfect squares so

you cant factor it further.

How does 0.07/2.8 equal the same answer as 7/280?

Answers

Answer:

4.065

Step-by-step explanation:

40.6 divide by 5 so answer is 4.065

Answer:

Step-by-step explanation:

0.07/2.8 = 0.025

7/280 = 0.025

Yes they are same because their answer is same

Find the volume of the cylinder
Either enter an exact answer in terms of t or use 3.14 for t
10
4 units

Answers

Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. Use the value 3.14 for pie, And do not round your answer.

Answers

Answer:

0.9675sq.cm

Step-by-step explanation:

Find a related diagram attached

Area of the shaded region = Area of rectangle - area of semicircle

Area of rectangle = 3cm * 1.5cm

Area of rectangle = 4.5sq.cm

Given

diameter of the semicircle = 3cm

area = πd²/8

Area of the semicircle = 3.14(3)²/8

Area of the semicircle = 3.5325sq.cm

Area of the shaded region = 4.5 - 3.5325

Area of the shaded region = 0.9675sq.cm


A linear function has a y-intercept of -9 and a slope of 7/3. What is the equation of the line?

Answers

Answer:

D

Slope is 7/3so in front and - 9 is y intercept so is after

Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer

Answers

Answer:

Step-by-step explanation:

hello :

the first graph : 1  and -1 at second ; 2

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