Lilian is packing gifts for the needy. She has 240 toys and 180 books
to pack. She wants all packages to have the same number of books
and the same number of toys.
1. What is the largest number of packages she can make?
2. How many toys will be in each of the packages
3. How many books will be in each of the packages.

Answers

Answer 1

Answer:

1. 240+180=420 packages.

2. 420 ÷ 240=2 toys and 1 left over.

3. 420 ÷ 180=2 books and 1 left over.

Step-by-step explanation:

Lilian can either put 1 toy and 1 book in the same package or separate them.

Answer 2

Answer:

60 packages

Step-by-step explanation:

gcf of 240 and 180= 60


Related Questions

The diagram shows two parallel lines a and b cut by transversal lines

Answers

X = 180 - 104

This is because the 52 is equal to two angles in the triangle x is in. If you add 52 and 52 you get 104. All triangle angles add to 180, so you would do 180-104= x

simplify the expression a² • 3a and explain your steps pls

Answers

Answer:

3a^3

Step-by-step explanation:

Ok I got you bud now the the first thing to notice that they're all the same variable. so the way I learned to look at is like this  

1a^2 x 3a^1

so the reason I put it like this is so I remember that in front of every variable is a coefficient. so you would first multiply the coefficient

3x1=3

3

then multiply the a's you have one a that is being squared and one a to the first power so since your multiplying them you just add the exponents

a^1 + a^2 = a^3

so when you put it all together it says 3a^3

hope this helps

Chip is planning a 1,000 mile trip. His
car's
gas mileage is about 20 miles per
gallon. Gas costs $1.50 per gallon.
About how much will the gas for the
trip cost?

Answers

Answer:

$75

Step-by-step explanation:

First divide 1,000 by 20 which gives you 50

Then Multiply 50 by $1.50 to get $75

Determine which of the following relationships is true.
O DE=2AC
Om BCA = 2(m_BED)
O DE = AC
DEI|AC

Answers

Answer:

DE is parallel to AC

DE = 2AC

Explanation

In triangle ABC, BD = AD

BE = EC

D is mid point of AB

E is the mid point of AC

According to the mid point theorem, ( The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”) DE is parallel to AC and equal to half of it

Answer:

For clarification, the answer is DE||AC or in other words, DE is parallel to AC.

Drag the tiles to the correct boxes to complete the pairs.
Solve the inequalities for x, and match each solution to its number line graph.
Two less than of a
number (x) is no more than .
The sum of two times a number (x)
and -2 is at least 8.
Seven subtracted from 4 times a
number (x) is more than 13.
Four added to 3 times a number (x)
is less than 19.
Number Line Graph
Inequality

arrowBoth

arrowBoth

arrowBoth

arrowBoth
Reset Next
Building Inequalities to Solve Real-World Problems: Mastery Test
© 2020 Edmentum. All rights reserved.

Answers

Answer: Good luck guys

a) 4(9 x - 18)  > 3(8x  + 12)

The solution to the inequality is x > 9.

Graph A.

b) -1/3 (12x + 6) ≥ -2x + 14

The solution to the inequality is x ≥ -8.

Graph B.

c) 1.6 (x + 8) ≥ 36.4

The solution to the inequality is x ≥ 14.75.

Graph C.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

a)

4(9x - 18) > 3(8x + 12)

First, we can simplify both sides of the inequality:

36x - 72 > 24x + 36

Next, we can isolate the variable on one side by subtracting 24x from both sides:

12x - 72 > 36

Finally, we can isolate x by adding 72 to both sides:

12x > 108

x > 9

Therefore, the solution to the inequality is x > 9.

b)

-1/3(12x + 6) ≥ -2x + 14

First, we can simplify the left-hand side of the inequality:

-4x - 2 ≥ -2x + 14

Next, we can isolate the variable on one side by adding 4x to both sides:

-2 ≥ 2x + 14

Then, we can isolate x by subtracting 14 from both sides:

-16 ≥ 2x

Finally, we can divide both sides by 2, remembering to reverse the direction of the inequality because we are dividing by a negative number:

-8 ≤ x

Therefore, the solution to the inequality is x ≥ -8.

c)

1.6(x + 8) ≥ 36.4

First, we can simplify the left-hand side of the inequality:

1.6x + 12.8 ≥ 36.4

Next, we can isolate the variable on one side by subtracting 12.8 from both sides:

1.6x ≥ 23.6

Finally, we can divide both sides by 1.6:

x ≥ 14.75

Therefore, the solution to the inequality is x ≥ 14.75.

Thus,

a) 4(9 x - 18)  > 3(8x  + 12)

The solution to the inequality is x > 9.

Graph A.

b) -1/3 (12x + 6) ≥ -2x + 14

The solution to the inequality is x ≥ -8.

Graph B.

c) 1.6 (x + 8) ≥ 36.4

The solution to the inequality is x ≥ 14.75.

Graph C.

Learn more about inequalities here:

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An Eurasian lynx travled 46 miles. It took the
cat 43 days. to cover this distance How many miles per
day did it travel.

Answers

Answer:

A Eurasian lynx covered 1.07 miles per day.

Step-by-step explanation:

The distance traveled by a Eurasian lynx = 46 miles

The days to cover the 46 miles distance = 43 days

Divide the total distance miles by the total number of days to determine the miles per day.

Thus,

Miles per day = Tota distance / Totdal days

                       = 46 / 43

                       = 1.07 miles per day

Thus, An Eurasian lynx covered 1.07 miles per day.

Multiple Choice
(
52 points 10 points)
Fill in the circle next to the correct answer.
1.
Which fraction has the same value as 3/5 + 1/3
A) 2/15
B) 4/14
C) 1/2
D) 14/15

Answers

Answer:

greetings

the answer is D

3/5 = 9/15

1/3 = 5/15

9+5= 14

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

find the common denominator by finding the least common multiple of the two denominators

3/5 * (3) = 9/15

1/3 * (5) = 5/15

add both and u get 14/15

The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?

Answers

It was incensed by 17%
17%
58.50-50=8.5
8.5/50=0.17
0.17=17%

can anyone help meeee plssss

Answers

Answer:

A. 14 nickles

Step-by-step explanation:

3) Maurice has a pet hamster. In October he spent
$ 13.68 on hamster food
$ 7.89 on wood shavings
$ 21.14 on a new hamster wheel.
About how much money did he spend on his hamster? Estimate by rounding each amount to
the nearest dollar.
Exactly how much did he spend on his hamster in October?

Answers

Answer:

now

Step-by-step explanation:

The amount of money that he spent on his hamster round to the nearest dollar will be $43.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Maurice has a pet hamster. In October he burned through $13.68 on hamster food $7.89 on wood shavings and $21.14 on another hamster wheel.

Then the amount of money that he spent on his hamster will be given by the summation of $13.68, $7.89, and $21.14.

⇒ $13.68 + $7.89 + $21.14

⇒ $42.71

⇒ $43

The amount of money that he spent on his hamster round to the nearest dollar will be $43.

More about the Algebra link is given below.

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What is the value of v in the equation?
V - 7 = 15 + 12

A.21
B.13
C.27
D.34

Answers

Answer:

D. 34

Step-by-step explanation:

15+12=27

v-7=27

+7. +7

______

v=34

which system of equations is represented by this graph ​

Answers

Answer:

A.

Step-by-step explanation:

It has the correct slopes and y-intercepts.

Please help me solve these quadratic equations. Also please show your work simply!!

Answers

Answer:

Negative numbers can't have a square root so they are all undefine and so is 7.

Step-by-step explanation:

PLZ HELP DUE IN 10 MINS!HELP PLZ THANKSSSS


11. $35 volleyball: 20% discount


Answers

Answer:

the answer is 7$

Step-by-step explanation:

I used a percentage app

3x+1 = 27
answer choices: a) -1/3
b) -6
C) -2/3
d) -3/2

Answers

none of those are correct. x= 8 and 2/3

If 15 ounces of candy cost $3.75 what is the price per unit

Answers

Answer:

$0.25 per ounce

Step-by-step explanation:

3.75 divided by 15 is 0.25

Answer:

0.25 per ounce

Step-by-step explanation:

3.75 divided by 15 is 0.25

Write the sentence as an inequality.

Three times a number w is less than 18.

Answers

Answer:

w<6

Step-by-step explanation:

3w/3 <18/3

You divide that and get w<6.

what is 1 2/5 × 2
what is 1/4 × 1​

Answers

Answer:

[tex]1).[/tex]  [tex]2\frac{4}{5}[/tex]

[tex]2).[/tex]  [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]1).[/tex] [tex]1\frac{2}{5}*2[/tex]

Convert mixed number to improper fraction: [tex]a\frac{b}{c} =\frac{a*c+b}{c}[/tex]

[tex]1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}[/tex]

[tex]\frac{7}{5} *2[/tex]

[tex]\frac{7}{5} *2[/tex]

Apply the fraction rule: [tex]\frac{a}{b}*c =\frac{a*c}{b}[/tex]

[tex]\frac{7}{5} *2=\frac{7*2}{5}[/tex]

[tex]=\frac{7*2}{5}[/tex]

Multiply the numbers: [tex]7*2=14[/tex]

[tex]=\frac{14}{5}[/tex]

Convert improper fractions to mixed numbers: [tex]\frac{14}{5}[/tex]

[tex]\frac{14}{5}[/tex]

Write the problem in long division format:

[tex]\begin{matrix}5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Divide [tex]14[/tex] by [tex]5[/tex] to get [tex]2[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Multiply the quotient digit [tex](2)[/tex] by the divisor [tex]5[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Subtract [tex]10[/tex] from [tex]14[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

The solution for long division of [tex]\frac{14}{5}[/tex] is [tex]2[/tex] with a remainder of [tex]4[/tex]

[tex]2\quad \mathrm{Remainder}\quad \:4[/tex]

Convert to mixed number: [tex]Quotient\frac{Remainder}{Divisor}[/tex]

[tex]\frac{14}{5} =2\frac{4}{5}[/tex]

[tex]=2\frac{4}{5}[/tex]

[tex]2\frac{4}{5}[/tex]

Convert [tex]\frac{4}{5}[/tex] to decimal using long division

[tex]\frac{4}{5}[/tex]

Divide [tex]4[/tex] by [tex]5[/tex] to get [tex]0[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Multiply the quotient digit [tex](0)[/tex] by the divisor [tex]5[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Subtract [tex]0[/tex] from [tex]4[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Add a decimal place and a zero to the dividend

Bring down the zero from the dividend

[tex]\begin{matrix}\space\space\space\space\emptyspace0.\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4.0}\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\emptyspace0\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Divide [tex]40[/tex] by [tex]5[/tex] to get [tex]8[/tex]

[tex]\frac{40}{5} =8[/tex]

The solution for long division of [tex]\frac{4}{5}[/tex] is [tex]0.8[/tex]

[tex]=2+0.8[/tex]

Add [tex]2+0.8=2.8[/tex]

[tex]2).[/tex] [tex]\frac{1}{4} *1[/tex]

Multiply [tex]\frac{1}{4} *1=\frac{1}{4}[/tex]

[tex]=\frac{1}{4}[/tex]

Anything multiplied by [tex]1[/tex] is the same number.

Divide the the numbers [tex]\frac{1}{4}[/tex] to get decimal form

Divide [tex]1[/tex] by [tex]4[/tex]

[tex]\frac{1}{4} =0.25[/tex]

[tex]=0.25[/tex]

Answer:

12/5x2=25

1/4x1=1/4

Step-by-step explanation:

identify the triangle ​

Answers

Answer:

C.

Step-by-step explanation:

i think

B!
The vertical angles make an angle

HELPPPP IMA CRYYYYYYYYYY

help meeeee

Answers

Answer:

B

Step-by-step explanation:

Your answer  is b because when u  solve the  equation  u get that answer.

Hope this helps:)

pls mark brainlist

Answer:

b maybe..?

i am not too sure tho

Which fractions are equivalent to 40%? Check all that apply. 100 110 0 200 은 10 10​

Answers

Answer:

2/5

8/20

4/10

16/40

Step-by-step explanation:

all except the first 1

Step-by-step explanation:

fhdjeueuejejeudi

Solve the system of equations.
y=4x
y = x^2 + 3
A. (-1, -4) and (3, 12)
B. (0, 3) and (1, 4)
C. (1, 4) and (3, 12)
D. (-3, -12) and (-1, -4)​

Answers

Answer:(1,4) and (3,12)

Step-by-step explanation

A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?



Round the answer to the nearest tenth.

Answers

9514 1404 393

Answer:

  38.5°

Step-by-step explanation:

A triangle solver can give an answer easily. The angle is 38.5°.

__

The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.

  C = arccos((a² +b² -c²)/(2ab))

Here, we have a=35, b=48, c=30, so the angle is ...

  C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°

The angle the cable makes with the pole is about 38.5°.

Kevin calculated the product of 3.2 × 104 and 3.6 × 102 as 11.52 × 106. Which is the next step that Kevin should apply to his solution?
Write in scientific notation, moving the decimal in the coefficient one place left and keeping the same exponent.
Write in scientific notation, moving the decimal in the coefficient one place to the left, which subtracts 1 from the exponent value.
Write in scientific notation, moving the decimal in the coefficient one place to the left, which adds 1 to the exponent value.
Write in scientific notation, moving the decimal in the coefficient one place to the right, which adds 1 to the exponent value.

Answers

Answer: Answer: C, Write in scientific notation, moving the decimal in the coefficient one place to the left, which adds 1 to the exponent value.

Is 3/6 divided by 5 greater than 1?

Answers

It is not greater than one.

When you divide 3/6 by 5, your quotient is 0.1, which has a value that is less than 1.

Hope this helps!

- sahira :>

Step-by-step explanation:

3/6 divided by 5

The numbers in 3/6 divided by 5 are labeled below:

3 = numerator

6 = denominator

5 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

3/6 times 5 = 3/30

Thus, the answer to 3/6 divided by 5 in fraction form is:

3/30

to make the answer to 3/6 divided by 5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

3/30 = 0.1

The answer is rounded to the nearest four decimal points if necessary.

3/30 can be simplified to 1/10

What’s 2(3+a) if a=2?

Answers

Answer:

10.

Step-by-step explanation:

2(3+a)

= 2(3+2)

= 2(5)

= 10

Hope this helped!

Which equation is modeled below?
1
11
XX
1
O-X+ 1 = 2x+3
X+(-1)=2x+3
O X+(-1)=3x+2
-2x = 2x+3
Please help

Answers

Answer:

your answer is b bud... your welcome....

Step-by-step explanation:

just took the test

The equation that modeled the graph is -x + 1 = 2x + 3.

The correct option is A.

What is an equation?

A pair of algebraic equations with the equal symbol (=) in the center and the same value is referred to as an equation.

As per the information provided, it is given one red rectangular box with '-x' and one small yellow square box with '1' equals 2 green rectangular boxes and 3 yellow square boxes.

The equation in numeric form can be described as:

-1x + 1 = 2g + 3

where:

-1x represents the red rectangular box with '-x'

1 represents the small yellow square box with '1'

2g represents the two green rectangular boxes

3 represents the three yellow square boxes.

Therefore, the equation is -x + 1 = 2x + 3.

To learn more about the equation;

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Hana has some blue paint. She wants to lighten the shade, so she mixes in 1

cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of

white paint at a time. After adding 4 cups, she decides the color is too light.

Answers

Answer:

The answer is below

Step-by-step explanation:

Hana has some blue paint. She wants to lighten the shade, so she mixes in 1  cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of  white paint at a time. After adding 4 cups, she decides the color is too light.

How would she express the amount of paint to add to be between too dark and too light.

Solution:

After adding a cup of white paint, the color is still dark, she adds the second cup of paint and the color is still dark. She adds the third cup of paint and the color is still dark but when she adds the fourth cup of white paint, the color became too light.

This means that the amount of paint to add to be between too dark and too light is between the third and fourth cup.

Let w represent the amount of paint to add to be between too dark and too light. Hence:

3 < w < 4

iiishueuduidieiekejejsk​

Answers

Answer:

I think its 6 dfghjkmlcfgvhbj

Step-by-step explanation:

What are the slope and the y-intercept of the line of best fit on this scatter plot?



A.
The y-intercept is , and the slope is .
B.
The y-intercept is , and the slope is .
C.
The y-intercept is , and the slope is .
D.
The y-intercept is , and the slope is .

Answers

Answer:

the y-intercept is 8 and the slope is -4/3 .

Step-by-step explanation:

The y - intercept is (0, 8) and the slope is -4/3

What is the y-intercept?

"It is the point at which the graph of the function intersects the y-axis"

What is slope?

The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For given example,

We can observe that the line of best fit on this scatter plot passes though points (0, 8) and (6, 0)

Using the slope formula,

⇒ slope = (0 - 8)/(6 - 0)

⇒ slope = (-8)/6

slope = -4/3

Also, we can observe that the line of best fit on this scatter plot intersects y-axis at point (0, 8)

So, the y - intercept is (0, 8)

Therefore, the y - intercept is (0, 8) and the slope is -4/3

Learn more about slope and y-intercept here:

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