4) Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18 + 42​

Answers

Answer 1

Answer:

GCF = 6, Sum = 60.

Step-by-step explanation:

Substitute 6 into our distribution equation:

6(3) + 6(7) = (18 + 42) = 60

Check:

6(3)+6(7) = 60.

(This is an easier way to find the GCF, by substitution)

Checking Continued:

18: 1, 2, 3, 6, 9, 18

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the GCF.


Related Questions

Louise buys 4 pencils for £1.20. How much does one cost? :)

Answers

Answer:

O.3 pound

Step-by-step explanation:

1.20/4=0.3 pound

Answer:

1.20 divided 4 = 0.3

One pencil costs £0.3

Step-by-step explanation:

−2/3x = 10y – 2 written in standard form

Answers

Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).

Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.

Answers

Answer:

the answer is -1, 0 and 6, -1

Step-by-step explanation:

-1, 0 and 6, -1

(Hope this helps can I pls have brainlist (crown)☺️)

Graph the following features: Slope = 4 Y-intercept = 4​

Answers

Answer:

Step-by-step explanation:

Equation of the line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

m=4b=4

[tex]\\ \sf\longmapsto y=4x+4[/tex]

plz help with this one its the last question I need to pass this assignment

Answers

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps

Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN

Answers

Answer:

SAS∆LMN ~ ∆GHN

Step-by-step explanation:

If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.

  LG/MH = 12.5/10 = 1.25

  GN/HN = 40/32 = 1.25 . . . . so the triangles are similar

__

The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.

Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.


On the first day, a shoe shop sold 40 pairs of shoes and every day after it sold 20 more pairs of shoes.
Write an equation in slope-intercept form that describes the number of shoes sold.

Answers

Answer:

Step-by-step explanation:

0.011 divided by 0.25

Answers

Answer:

0•044 is the correct answer

Answer:

0.044

Step-by-step explanation:

LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN

Answers

Answer:

12/16 9/12

3/4

Step-by-step explanation:

12/16 = 15/20 = 9/12

scale factor = 3/4

Answer:

The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].

the scale factor is [tex]\frac{3}{4}[/tex].

Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.

¿Cuál es el recíproco de 3 3/7​

Answers

Answer:

[tex]3 \frac{3}{7} \\ = \frac{24}{7} \\ [/tex]

[tex]The \: reciprocal \: of \: \frac{24}{7} = \frac{7}{21} .[/tex]

Three numbers have a ratio of 2: 3: 4. Find the largest number if their sum is 36.

Answers

Answer:

16

Step-by-step explanation:

2 + 3 + 4 = 9

36/9 = 4

2 · 4 = 8

3 · 4 = 12

4 · 4 = 16

Write equations for the horizontal and vertical lines passing through the point (-4,2)

Answers

Answer:

y=2

x=-4

hope this helps!

What is 3/4 multiplied by 3

Answers

I would say it’s 9/4.

00
A student ran a distance of 33 miles each day for 5 days. Then the student ran a distance of 4 miles each day
for the next 5 days.
What was the total distance in miles the student ran during these 10 days?

Answers

☆Answer : 33miles = 5days 4miles = 1days

10days = ... miles

= 5days × 2

= 33 × 2

= 66miles

Is there a direct proportion in 4.5a = b + 12

Answers

no there is not at all
pls give brainly am need points

David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?

Answers

31 1/2 miles is how much he would have traveled in 7 hours

What is the slope of the line passing through (1, 2) and (3.8)?

Answers

Answer:

The slope = 3

Step-by-step explanation:

The points are:

( 1, 2 ) = x₁ , y₁

( 3, 8 ) = x₂ , y₂

The slope is calculates as follows:

slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]

Answer: The slope of the line is 3

Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps  

No Links
12. An electrician charges a 45.00 dollars travel fee plus 30.00 dollars per hour of labor. Let y be the cost in dollars for x hours of work. Write the slope-intercept form of the equation.

y = 45+30x

13. Using the equation from number 12, if the electrician works 3 hours on a job, how much will the bill be?

14. Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.

Answers

Answer:

12. y=30x+45

13. 135 dollars

    y=45+30(3)

    y=45+90

    y=135 dollars

14. 8 full hours

    300=45+30x

    255=30x

    x = 8.5 or 8 full hours

express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]

Answers

[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]

ok done. thank to me :>

help 6th grade math im will give brainliest

Answers

ok I don't see the thing you need help with

What do you need help with?

Can someone help!!!!

Answers

Answer:

X = 2/3 and Y = 3

Step-by-step explanation:

Matrix: 3 -1 -1

-3 5 13

Main determinant:

| 3 -1 |

| -3 5| = 12

Dx: |-1 -1|

|13. 5| = 8

X = 8/12 = 2/3

Determinant y:

|3 -1|

|-3 13| = 36

Y = 36/12 = 3

3. George is at the craft show selling homemade ice cream. He must pay

$45 for a booth rental and costs him $3.50 to make each Ice cream

cone. He sells each ice cream cone for $5.00.

The inequality 45 + 3.50c < 5c represents the situation in which George

makes a profit

a). Will George make a profit if he sells 29 cones? Explain why or why not.

Answers

Answer:

no 146.5 > 145

Step-by-step explanation:


helpppp me pleaseee

Answers

Answer:

C

Step-by-step explanation:

Yellow is the answer I think

find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?

Answers

Answer:

In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.

Step-by-step explanation:

:3

Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
a.write and solve an inequality to answer the question

b. each pizza serves 4 people. if 22 people reply that they will attend the party, how many pizzas should grace buy? explain your reasoning.

im sorry its alot but this will help me lots

Answers

Answer:

A. She can buy 8 pizzas; B. At least 6 pizzas.

Step-by-step explanation:

Since Grace has $105, we can set our inequality to be less than or equal to that amount of money.  We also know she needs to spend $25 on the cake no matter what.  Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:

9.25x + 25 ≤ 105

To solve this inequality, we first subtract 25 from both sides, which gives us:

9.25x ≤ 80

Then we divide by 9.25 on both sides, giving us:

x ≤ 8.6486

Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.

If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people.  We can use this inequality, where x is still the number of pizzas.

4x ≥ 22

Dividing both sides by 4, we get:

x ≥ 5.5

Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.

find the 10th term
FORMULA: Tn=a+d(n-1)​

Answers

Answer:

T₁₀ = 23

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]T_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

Here a = - 4 and d = T₂ - T₁ = - 1 - (- 4) = - 1 + 4 = 3 , then

T₁₀ = - 4 + (9 × 3) = - 4 + 27 = 23

Answer:

-4,-1,2,5 turn into consecutive terms

d=-1-(-4)

d=2-(-1)

d=5-2

d=-1-(-4) calculate the value

d=3

d=2-(-1)

d=5-2

So it is a Arethmetic Sequence

That's my answer hope it helps

Yall i need help asap! please help​

Answers

3) 1010000

4) 1582

I helped

2 1/4 divided by 3/4 i need it fast tho-

Answers

Answer:

3

Step-by-step explanation:

We have to divide 2 1/4 by 3/4

First convert 2 1/4 to an improper fraction

2 1/4 = (2*4 + 1)/4 = 9/4

Divide 9/4 by 3/4

(9/4)/(3/4)

The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3

Now cancel the common factor 3, which gives 3

The required value of 2 1/4 divided by 3/4 is 3

Answer:

Step-by-step explanation:

Use KCF method

Keep the first

Change division to multiplication

Flip the second

[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]

9/4 ÷ 3/4

[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]

F = 1/5 gh^2
solve for h

Answers

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.

Answers

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex]

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

Learn more here:

https://brainly.com/question/17627037

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