Shivani has two pieces of wire, one 48 feet long and the other 21 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them?

Answers

Answer 1

Answer:

3 feet

Step-by-step explanation:

48 = 2⁴×3

21 = 3×7

Greatest common factor of 48 and 21 is 3.

Each piece will be 3 feet long.


Related Questions

Find an equivalent expression using the Distributive Property. 0.25(8r−4m)

Answers

Answer:

2r-m

Step-by-step explanation:

0.25(8r - 4m)= multiply the parentheses by o.25 then calculate 0.25x8r- 0.25x4m

Express 13/3 as mixed fraction​

Answers

Answer:

4*1/3

Step-by-step explanation:

easy we know for each 3/3 == 1

so:

3*4 == 12

1/3 is left over so,

4*1/3

Answer:

the answer is 4 1/3, i recommend using the app mathaway

What is the value of x?

Answers

Answer:

98%

Step-by-step explanation:

10 points
Howie planted a tree in his front yard three months, one week, and two days ago. If today is May 15th, what day did Howie plant the tree in his yard? A. February 6 B. February 15 C. August 15 D. August 24

Answers

Answer:

February 6th

Step-by-step explanation:

3 months before may 15 is February 15. Subtract 9 from 15 (1 week and 2 days) and you get 6 which leads you to your answer.

Answer:

FEB 16

Step-by-step explanation:

Triangle ABC is shown below.
What is the cosine of angle B?

Answers

I think it’s b ?bbbbb

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

seventy-eight times n is at least 312. write your solution in interval notation

Answers

78n > 312
n > 312/78
n > 4

[4, infinity)

Use a closed bracket [ for 4 because I can equal exactly 4 when we plug in to get 312

Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?

A. 120
B.125
C.130
D.115

Answers

Answer:

C

Step-by-step explanation:

an exterior angle is supplementary to the adjacent interior angle.

So 180 - 55 = 125

180 - 65 = 115

The third angle of your triangle is 180 - 55 - 65 = 60

180 - 60 = 120

C is the only value that cannot be the measure of an exterior angle.

solve each proportion

Answers

Answer: x=8

Step-by-step explanation: 2x+5 /10 = 42 /20

(2x+5)(20)=(42)(10)

40x+100−100=420−100

40x /40 = 320 /40

x=8

Please only answer if you know the answer.

What does FOIL Stand for when multiplying polynomial.

Answers

Answer:

F=First

O=Outer

I=Inner

L=Last

Answer:

F = First,

O = Outer,

I = Inner,

L = Last

Step-by-step explanation:

What is the tan A?

No random answers pls

Answers

Answer:

I think its 3/4.

Step-by-step explanation:

It is 3/4 btw your welcome

A 42 inch Plasma TV first hit the market at a price of 1800. After the holidays it was reduced by 20% and finally the price was slashed another 25%. What was the final price of the TV?

Answers

9514 1404 393

Answer:

  1080

Step-by-step explanation:

The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...

  0.80(1 -25%) = 0.80×0.75 = 0.60

times the original.

The final price was ...

  1800 × 0.60 = 1080

Answer this pleaseee

Answers

Answer:

do i need to answer them all

Step-by-step explanation:

x is a positive integer.
33 + x is a positive integer.
Work out the four possible values of X,.

Answers

Answer:

Step-by-step explanation:

An integer is a number without decimal part i.e a whole number. Since x is a positive integer, it could be replaced by any positive integer. So that 33 + x would also be a positive integer.

Four possible values of x are:

i. Let x = 10, then;

33 + x = 33 + 10

          = 43

ii. Let x = 2, then;

33 + x = 33 + 2

          = 35

iii. Let x = 25, then;

33 + x = 33 + 25

          = 58

iv. Let x = 30, then;

33 + x = 33 + 30

          = 63

graph the line that passes through the point (5,3) and (5,1) and determine the equation of the line

Answers

Answer:

Step-by-step explanation:

There is no change in x-coordinate. The line is parallel to y-axis.

Equation of line : x = 5

Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?

Answers

2.75 packs

Step-by-step explanation:

11 packs ÷4 gardens =2.75 packs per garden

Is there enough information shown on the triangles to say that the
two triangles are congruent?
(A) No. All three angles must be congruent to one another or the
two triangles aren't congruent.
(B) No. The corresponding angles aren't congruent, which means
that the triangles aren't congruent.
(C) Yes. All pairs of corresponding angles are congruent; therefore,
the two triangles are congruent.
(D) No. The corresponding pairs of sides must also be marked
congruent to determine that the triangles are congruent.

Answers

Answer: (D) No. The corresponding pairs of sides must also be marked  congruent to determine that the triangles are congruent.

==================================================

Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

SSSASAAAS (or SAA)SASHLLL

Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

------------

So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

someone know which company a or b has a greater percent per window???

Answers

Answer:

b

Step-by-step explanation:

rate of change in a 25

"" in b is 40

Please help with this question

Answers

Answer:

[tex]9\frac{6}{12}[/tex]

Step-by-step explanation:

[tex]6\frac{2}{6} \cdot 1\frac{1}{2} = \frac{38}{6} \cdot \frac{3}{2} = \frac{114}{12}=9\frac{1}{2}[/tex], which is also equal to [tex]9\frac{6}{12}[/tex].

Explain how to find the mean of a data set

Answers

You have to add all the numbers together then divide by the amount of numbers. For example,
1. 3, 5, 8, 4
2. 3+5+8+4= 20
3. 20 divided by 4 = 5
4. The mean is 5

Answer:

First, add the numbers in the data set. Then, divide the sum by the number of numbers. The quotient is the mean.

 

I hope this helps!

counting numbers greater than 110

Answers

Answer:

x>110; 111. 112 , 113, 114, 115, ...

Step-by-step explanation:

A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 49 choices of strap pad color. There are 2 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?

Answers

Answer:

1.238 * 10^13

Step-by-step explanation:

Number of sizes = 5

Color combination per size = 52

Panel option for each combination = 3

Binding color = 18 choices

Logo color = 26 choices

Liner color = 12 choices

Strap pad color = 49 choices

Interior style = 2 choices

Right or led handed = 2 choices

Chiller or not = 2 choices

Grab strap or not = 2 choices

Camera insert or not = 2 choices

Water bottle pocket or not = 2 choices

(5 x 52^3 * 18 * 26 * 12 * 49 * 2^6)

= 12381782999040

= 1.238 * 10^13 choices

Q. Abby lives in a home worth $115,000. She has a mortgage of $98,000. she owes $5,200 on her car that is worth $11,000. she has a credit card balance of $2,300. she also has a checking account with a balance of $900 and $300 in gift cards. What is Abby's net worth?


A. 127,200

B. 105,500

C. 232,700

D. 21,700

Answers

I think it’s b?bbbbb

Write as a single log:
2ln x + 2ln 4

Answers

Answer:

2ln 4x or ln (4x)²

Step-by-step explanation:

Use properties:

log a + log b = log abn log a = log aⁿ

Simplify:

2ln x + 2ln 4 = 2(ln x + ln 4) =2ln 4x = ln (4x)²

I WILL MARK BRINLIEST
Harbor Bike Shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?
a
22 bikes and 11 tricycles
b
20 bikes and 7 tricycles
c
26 bikes and 13 tricycles
d
22 bikes and 13 tricycles
e
11 bikes and 22 tricycles
f
24 bikes and 11 tricycles

Answers

Answer:

f

bicycle 24 x2= 48

tricycle 11 x3= 33

48+33=81

Step-by-step explanation:

What is the solution of the equation below?


− 34.1 = 44.5


Group of answer choices


m = 10.4


m = 14.4


m = 70.6


m = 78.6

Answers

Answer:

Add 34.1 to both sides of the equation and get m=78.6

its m = 70.6 (ur welcomeee))

Which is smaller 7/8 or 3/4

Answers

Answer:

3/4

Step-by-step explanation:

3/4 is equal to 6/8, and 6/8 is smaller than 7/8

Answer:

7/8

Step-by-step explanation:

3/4 is equal to 6/8 wich is smaller than 7/8.

Hurry pls
10pts


Tell whether the slope of the line

Answers

Answer:  negative A.

Step-by-step explanation:

the slope of the line is going down so its negative. hope it helps!

At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?

1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.

Karen: y = x +
Alice: y = x +

2. What are the slopes of the lines represented by the equations?

3. What are the y-intercepts of the lines represented by the equations?

4. Do the lines intersect?

5. How many solutions are there to this system of equations?

math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?​

Answers

Answer:

(1)

Karen: [tex]y = 2x +3[/tex]

Alice: [tex]y = 2x +1[/tex]

(2): Slope is 2

(3) y intercept

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) They do not intersect

(5) No solution

(6) No

Step-by-step explanation:

Given

[tex]x = loaves[/tex]

[tex]y = amount[/tex]

Solving (1): Complete the equation.

For Karen:

[tex]m = 2[/tex] --- the rate

[tex]b = 3[/tex] --- additional spendings

For Alice:

[tex]m = 2[/tex] --- the rate

[tex]b = 1[/tex] --- additional spendings

The general equation is;

[tex]y = mx +b[/tex]

For Karen, it becomes

[tex]y = 2x +3[/tex]

For Alice, it is:

[tex]y = 2x +1[/tex]

(2): The slopes.

In (1), we have:

[tex]m = 2[/tex] --- the rate (for both Karen and Alice).

This rate implies the slope.

Hence, the slope is 2

(3): The y intercept.

The additional spendings in (1) means the y intercept.

So, we have:

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) Because they have the same slope, they do not intersect

(5) Number of solutions.

[tex]y = 2x +3[/tex]

[tex]y = 2x +1[/tex]

Subtract both equations

[tex]y-y = 2x-2x +3-1[/tex]

[tex]0 = 2[/tex]

This means there is no solution

(6) Can they spend the same amount on the same number of loaves

In (5), the equations have no solution

Hence, it is not possible to spend the same amount for the same number of loaves

A thrift store owner claims that 65% of the clothes in stock are brand new and have never been worn. To verify this claim, a shopper inspects 75 articles of clothing in the store. Only 45 (60%) of these articles are brand new. If 65% of all articles in this thrift shop really are brand new, what is the probability of obtaining an SRS of 75 articles of clothing in which 60% or less are brand new

Answers

Answer: B- 0.18. Because the probability is not very small, it is plausible that the 65% claim of the owner is correct.

Step-by-step explanation:

Find slope of the line if it is defined through (5,10) and (5,-6)

Answers

Answer:

Undefined

Step-by-step explanation:

The slope is undefined as both points have the same x value.

Answer:

Undefined

Step-by-step explanation:

                        5 , 10

5 +0 = 5     <--  5 , -6     <-- 10 - 16 = -6

m = [tex]\frac{y}{x}[/tex]

m = [tex]\frac{-16}{0}[/tex]   <-- Doesn't sense. So the slope will be undefined

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