A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?

Answers

Answer 1

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

Answer 2

The two  lengths into which the cable is divided is 18 and 24.

Given that,

A cable that is 42 feet long is divided into lengths in the ratio 3:4.

Based on the above information, the calculation is as follows:

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

= 18

And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

= 24

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Related Questions

Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?

Answers

Answer: [tex]1728\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]

The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]

Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]

The volume of a rectangular base prism is [tex]l\times b\times h[/tex]

The volume of water in the aquarium is

[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]

Apples cost $2 per pound at the local price club, but
the club has a membership fee of $50. Write an
equation to determine how many pounds (p) of apples
you can buy for $58.
(What’s the answer????)

Answers

Answer:

x=4

Step-by-step explanation:

y=2x+50

58=2x+50

8=2x

x=4

please help asap......​

Answers

Answer:

third one and fifth

Step-by-step explanation:

I think maybe the third hjhjjjjb bytfddc

plss plss help mee :0

find the range of the function y=3-x when the domain is (-2,0,3)

Answers

Answer:

y=3−x

(−2,0,3)

The table shows the production cost for various quantities of widgets made.

Answers

Answer:

Step-by-step explanation:

First find the rate of change or slope denoted as m

m=(y2-y1)(x2-x1) we can find the slope with any two points.

m=(35000-25000)/(600-200)

m=10000/400

m=25

Now that we know the slope we can find the y intercept or original cost

C(n)=25n+b, using any point we can solve for b, I’ll use (200, 25000)

25000=25(200)+b

25000=5000+b

b=20000 so now we know the complete equation.

C(n)=25n+20000

Answer C.

HELP ME NOW PLEASE AND THANK YOUUU !! Asap on this questions

Answers

Answer:

y ≥ -1/2x + 1

Step-by-step explanation:

Not the 1st choice since it's going down

Not the 2nd choice since it's solid line

It's the 3rd choice

Answer:

y ≥ -1/2x + 1

Step-by-step explanation:

Hope this helps

Please help find the error​

Answers

Answer:

the error is they put out the answer

Step-by-step explanation:

A TV has an original price of
$499. Find the new price given a 10% increase

Answers

501 dollars duhhhhhh
change 10% to 0.1
499 x 0.1 = 49.9
499 + 49.9 = 548.9

A taxi driver charges you $1.50 for the first mile and $.90 for each additional mile. How far could you go for $20.00 if you give the driver a $2.00 tip?

Answers

Answer:

You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Step-by-step explanation:

From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:

c=1.50+0.90(x-1), where

c is the total cost

x is the number of miles

Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:

20-2=18

Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:

18=1.50+0.90(x-1)

18-1.50=0.90x-0.90

16.5+0.90=0.90x

17.4=0.90x

x=17.4/0.9

x=19.33

According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Answer:

You can go 19.33 mile

What are the mean, variance, and standard deviation of these values? Round to the nearest tenth. 12, 13, 15, 4, 11, 12
Plz help

Answers

Answer:

i. Mean = 11.2

ii. Variance = 14.17

iii. Standard deviation = 3.76

Step-by-step explanation:

i. Mean, m = [tex]\frac{sum of the values}{number of the values}[/tex]

                = [tex]\frac{4+11+12+12+13+15}{6}[/tex]

                = [tex]\frac{67}{6}[/tex]

                = 11.2

The mean of the given data is 11.2

ii. Variance = [tex]\frac{sum(x_{i} - m)^{2}}{n-1}[/tex]

where:   [tex]x_{i}[/tex] is the value of the one observation, m is the sample mean and n is the number of data given.

                   = [tex]\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}[/tex]

                   = [tex]\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}[/tex]

                   = [tex]\frac{70.84}{5}[/tex]

                   = 14.168

Variance = 14.17

iii. Standard deviation = [tex]\sqrt{Variance}[/tex]

                                     = [tex]\sqrt{14.17}[/tex]

                                     = 3.76

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69 degrees with the horizontal. Find the initial vertical and horizontal velocity of the ball.

A. Horizontal 9.6 and vertical 15.2
B. Horizontal 7.2 and vertical 18.9
C. Horizontal 18.9 and vertical 7.2
D. Horizontal 15.2 and vertical 9.6

Answers

B is your answer

I guess

The initial vertical and horizontal velocity of the ball will be 18.9 feet per second and 7.2 feet per second, respectively. Then the correct option is C.

What is a vector?

The quantity which has magnitude, and direction and follows the law of vector addition is called a vector.

George Washington tosses a baseball with an underlying speed of 20.2 feet each second at a point of 69° degrees with the even.

The initial vertical velocity of the ball is given as,

⇒ 20.2 x sin 69°

⇒ 20.2 x 0.9335

⇒ 18.9 feet per second

The initial horizontal velocity of the ball is given as,

⇒ 20.2 x cos 69°

⇒ 20.2 x 0.3583

⇒ 7.2 feet per second

The initial vertical and horizontal velocity of the ball will be 18.9 feet per second and 7.2 feet per second, respectively. Then the correct option is C.

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Write the interval (1,8] as an inequality

Helppp please fast

Answers

Answer:

1 < n < 8

Step-by-step explanation:

Best answer = Brainliest

Answers

Answer:

D??? sorry if im wrong

Step-by-step explanation:

Simply the expression

Answers

The simplified expression is: -243v^5

hope this helps ;')

Ayo who knows how to do this? plz help

Answers

Answer:

Step-by-step explanation:

m∠AOB = 72°

m∠A = 54°

find the slope given the following points: (8,-6) (-9,12)

Answers

Answer:

Slope (m) =  18 /-17 =-1.0588235294118

Step-by-step explanation:

Select the correct answer.
Consider the graph of the function f(x) = e^x.

Answers

Answer:

Option A

Step-by-step explanation:

Equation of the graph → f(x) = eˣ

Range of the given function is (0, ∞).

If the graph of the given function is translated by 3 units up.

New function will be,

g(x) = eˣ + 3

And the range of the new function will be (3, ∞).

Option A will be the correct option.

The range of the new function will be (3, ∞).

What is the range of a function ?

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain

Equation of the graph → f(x) = eˣ

Range of the given function is (0, ∞).

If the graph of the given function is translated by 3 units up.

New function will be,

g(x) = eˣ + 3

And the range of the new function will be (3, ∞).

Therefore , Option A will be the correct answer.

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ABC is dilated by a scale factor of 1/2 to produce A’B’C’. What is A’B, the length AB after the dilation? What is the measure of

Answers

...It's A on Ap3x......

2. FIND THE AREA OF THE SHADED
REGION. help me plzz !.!.!.



Answers

You have to find the area of the square so 5x10 then the area of the triangle 5is parallel to the one above so what’s also 5 16 is the total high of the square and triangle combined . So you’d take 10 out of 16 so 6 and 5 beings the sides of the triangle , then you’d add up the two sides and just subtract the area of the no Sade’s and ur left w/ the shaded region

Hey y’all! Can y’all please help me?
Solve: -14 - (-3) - 4(22 + 4)

Answers

the answer is 115

HOPE THIS HELPS

Answer:

-115

Step-by-step explanation:

Simplify  22+422+4  to  2626.

−14−(−3)−4×26

Simplify  4 times 264×26  to  104104.

−14−(−3)−104

Remove parentheses.

−14+3−104

Simplify  -14+3−14+3  to  -11−11.

−11−104

Simplify.

−115

Describe how the distributive property can be used when doing this calculation

Answers

Answer:

Step-by-step explanation:

9 (10 - 3)

you use this to get rid of the number outside of the () in this case it'd be a 9

90 - 27

How many solutions does the system of equations have?
What is the solution?



Answers

Answer:

1 solution:  (1, 4)

Step-by-step explanation:

The two lines shown intersect ONCE, at (1, 4).  This (1, 4) is the solution.  There is only one solution.

I'm sorry for asking so many math questions, I just need alot of help​

Answers

Answer:

20 = √3/2hypo

20×2=√3 hypo

40=√3 hypo

hypo =23

23² = 20² + x²

529= 400+x²

x²= 529-400

x²=129

x= 12.8

A truck travels 90 miles on 6 gallons of gas.
What is the rate the truck travels in miles per gallon?

Answers

Answer:

15 miles per gallon

Step-by-step explanation:

Divide miles travelled by gallons used, that is

90 ÷ 6 = 15 miles per gallon

The rate of the truck is 15 miles per gallon.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a truck travels 90 miles on 6 gallons of gas. The rate of truck will be calculated as:-

Divide miles travelled by gallons used, that is

Rate = 90 ÷ 6

Rate = 15 miles per gallon

Hence, the rateis 15 miles per gallon.

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Find the mean of the data in the pictograph below.
1
wands
= 2 wands
Wands each fairy owns
Wands
Glenda
Tink
Merry
Gracie
Fairy

Answers

Answer:

7

Step-by-step explanation:

each wand = 2 so you add the wands and multiply the wands by 2

then you divide the answer to the last calculation by 4

which is 28 divided by 4

which = 7

The mean of the data is 7.

What is Arithmetic Mean?

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Given:

Glenda = 2 x 2= 4 wands

Tink = 3 x 2= 6 wands

Merry = 4 x 2= 8 wands

Gracie = 5 x 2= 10 wands'

So, Arithmetic Mean = (Sum of wands) / (Total number of wands)

                                  = (4+ 6 +8 + 10)/4

                                  = 28/4

                                  = 7

Hence, the mean is 7.

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Which expression is equivalent to 5^10 · 5^5
A. 5^2
B. 5^5
C. 5^15
D. 5^50

Answers

C. 5^15. They both equal 3.05 repeated.

Question 4 (1 point)

Two paths in a park intersect so that one of the angles at the intersection is 75°

What are the three other angle measurements formed by the intersection?

Answers

Answer:

105 degrees (x2) & 75 degrees

Step-by-step explanation:  

Consecutive Angle Formulas

someone thats good at geometry please help asap!

Answers

Answer:

x=125

Step-by-step explanation:

∠PAT=180° - ∠ATP - ∠APT

∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°

3x + 3 + 4x + 4 + 173-7x = 180  

⇔x = 125

Given the related graph for each equation, determine which quadratic equation has no real number solutions​

Answers

Answer:

It is B i just took the instruction 0= -2(x - 2)^2 - 6

Step-by-step explanation:

WILL MARK BRAINLIEST! Find a Linear Function with the coordinate pairs ( 4 , 250) and ( 12 , 650 )

Answers

Answer: $75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

Answer:

$75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

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