Use the gcf and the distributive property to express the sum as a product 18+27

Answers

Answer 1

Answer:

45

Step-by-step explanation:

18+27=9(2+3)=9(5)=45

Answer 2

The sum of the numbers 18 and 27 will be 45.

What is the greatest common factor?

The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. The greatest common multiple is the common number multiplied by both numbers.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

Given sum is 18 + 27. The greatest common multiple between the two numbers is 9 take it common and then solve.

E = 18+27

E =9(2+3)

E =9(5)=45

Therefore, the sum of the numbers 18 and 27 will be 45.

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Related Questions

60% of the students in the marching band are girls there are 30 girls in a marching band how many students are there altogether?

Answers

Answer: 50

Step-by-step explanation: 60 divided by 30= 2 this means that 1 kid equals two percent 100 percent minus 60 percent= 40 percent 40 divided by 2= 20

20 plus 30= 50 so 50 kids are in the marching band

NEED HELP ASAP GIVING BRAINLEST:

Write a real world situation that could be represented using the following equation:

x - 100 = 40

Answers

Answer:  if Lisa has  ?  sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with

pls help me it will make my day because, this is due tomorrow and I don't want to fail. no one helps me ❤️

Answers

The slope is 2. Divide rise/run

Answer:

The slope is 2

Step-by-step explanation:

To solve for slope, it's: y2-y1/ x2-x1.

The points can be (1,0) and (2,2) since they intersect with the slope.

You plug the points into the equation which is 2-0/ 2-1.

This will give you 2/1 or just 2.

Or you can just do rise over run. The slope is going up by 2 and across by 1.

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Answers

Answer:

Sysem A has 2 real solutions (both the positive and negative form of a number can be squared to get a positive square)

System B has 0 real solutions (you can't square root a negative number and get a real number)

System C has 2 real solutions (same explanation as System A)

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow? Do not include units (yards) in your answer. Modified from EngageNY ©Great Minds Disclaimer

Answers

Answer:

2/5 yards of fabric

Step-by-step explanation:

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow?

5 identical pillows = 2 yards of fabric

1 pillow = x yards

Cross Multiply

x yards × 5 pillows = 2 yards × 1 pillow

x yards = 2 yards × 1 pillow/5 pillows

x yards = 2/5 yards of fabric

Therefore, 2/5 yards of fabric was used for 1 pillow

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks. After "W" weeks he has "D" dollars left in his bank account. Write an equation that represents the amount of money left in his bank account after "W" weeks.

Answers

Answer:

The Equation :

D = 300 - 10W

Step-by-step explanation:

We are told in the above question that:

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks.

Where W = number of weeks

Our Equation is written as

Total amount in the bank account - $10 × W

= $300 - $10 × W

The Equation is given as

D = 300 - 10W

A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.
How tall is the tree?
O 8 feet
78 feet
14 feet
98 feet

Answers

Answer:

Step-by-step explanation:

7/2 = t/28

t = 98 ft

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.

Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist

Height of the tree/ 28 = 7/2

Height of the tree = (28×7)/2

Height of the tree = 98 feet

Hence, the height of the tree is equal to 98 feet.

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The value of x is -1/4. Order these expressions from least to greatest:
x; 1 – X; x– 1; -1 divided by x

Answers

-1 divided by x
1 - x
X - 1

PLEASE HELPPPP......

If the sum of two numbers is 5 and their product is 6 then find the sum of the square of the numbers ?

Answers

Answer:

13

Step-by-step explanation:

the two numbers that satisfy the requirements for this is 2 and 3, so the answer i put is the sum of the square of the two numbers.

Answer:

let two number be x and y

by question

x+y=5….....(1)

xy=6

x=6/y.........(2)

putting the value of x in equation 1

6/y+y=5

6+y²=5×y

y²-5y+6=0

y²-3x-2x+6=0

(y-3)(y-2)=0

either

y=3

or

y=2

:.required no is 2 and 3

Plz help me so I don’t fail

Answers

Answer:

B

Step-by-step explanation:

below 0 is negative

so -15

In My Knowledge

Option B. -15°

5 Clear Mark for Review L
Triangle PQR was dilated with the origin as the center
of dilation to create triangle P'Q'R'.
Which rule best represents the dilation that was
applied to triangle PQR to create triangle P'O'R?
у
A (x,y) (x + 4,7)
o
® (x,y) → (X,Y+4)
la
R
P р
© (x, y) =(x,zy
D
(X,Y)-(3x, y)
1-17
Back
17
Review/End
Next
MacBook Air

Answers

Answer:

B

Step-by-step explanation:

Count the units

FITNESS CLASSES Toshelle wants to take strength training classes at the community center. She has to pay a one-time enrollment fee of $ 25 to join the community center, and then $ 45 for each class she wants to take. Write an equation in slope-intercept form to represent the cost of taking x classes.

Answers

Answer:

y = 45x + 25

Step-by-step explanation:

Slope-intercept equation/form:

y = mx + b

________________________

x is the amount of classes that Toshelle will take and each class costs $45.

So, you multiply them by one another to get:

45x

_________________________

Additionally, there is a one-time payment of $25.

So, you add 25 to the cost to get:

+25

__________________________

y is the total amount of money Toshelle has to pay.

Therefore, you place 45x and +25 into a slope-intecept equation/form to get:

y = 45x + 25

What are the zeros of the polynomial function f(x) = (x)(x - 6)(x + 4)?

Answers

The zeros are 0, 6, -4

5 1/2 candle burn down in 11 hours

Answers

-5.5 i think if i’m wrong sorry but good luck :)

Charlie and David collect baseball cards. Charlie has 26 cards and David has 10 more than Charlie. How many cards does David have?

Answers

Simple 26+10=36 baseball cards... PLEASE MARK ME BRAINLEST

Find the values of m and n
Can someone help???

Answers

Answer:

n=68

m=180-(68+68)

m=180-136

m=44

Answer:

m=44 n=68

Step-by-step explanation:

Base angle theorum.

180-(68+68)= Angle opposite to M=44

Vertical Angle Theorum.

M=Angle opposite to M=44

Definition of Isoceles Triangle.

n=(180-44)/2=136/2=68

El triple del cuadrado de un numero es igual a 6 veces ese numero cual es el numero que satiface el problma

Answers

Answer:

El numero es 2

Step-by-step explanation:

Sea x el número.

A partir de la pregunta, la expresión se puede representar matemáticamente como:

[tex]3x ^ 2 = 6x[/tex]

Divide ambos lados de la expresión por x

[tex]\frac{3x ^ 2}{ x} = \frac{6x }{ x}[/tex]

[tex]\frac{3x ^ 2}{ x} = 6[/tex]

[tex]3x = 6[/tex]

Divide ambos lados de la expresión por 3

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

Por tanto, el número es 2

melissa takes a shower every 2 days, how many days does she take a shower in a year

Answers

there’s 365 days a year, so 365 divided by 2 would give you 182.5. the answer is about 182 days a year.

What is 5/6 of 18? Its a fraction. ​

Answers

Answer:

Step-by-step explanation:

5/6 x 18 = 5 x 18/6 = 5x3 = 15

The requried, fraction 5/6 of 18 is equal to 15. In other words, if you take 5/6 of 18, you get 15.

To find 5/6 of 18, we set up the expression as follows:

(5/6) * 18

To multiply a fraction by a whole number, we simply multiply the numerator (the top number) of the fraction by the whole number. The denominator (the bottom number) remains the same. In this case, we have:

(5 * 18) / 6

Now, we multiply the numerator 5 by the whole number 18:

5 * 18 = 90

So, we have:

(90) / 6

Simplify the fraction.

To simplify the fraction, we divide the numerator (90) by the denominator (6):

90 / 6 = 15

Therefore, 5/6 of 18 is equal to 15. In other words, if you take 5/6 of 18, you get 15.

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what is 15.009 rounded to the hundredths

Answers

Answer:

15.01

Step-by-step explanation:

The second place to the right of the decimal point  the hundredths.

9 rounded would be to 10. You just put the 1 in the  place of the hundredths.

Answer:

15.01

Step-by-step explanation:

                               BASIC RULES FOR ROUNDING

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Help I need help Hurry please

Answers

Answer:

divide by 105 lol.

Step-by-step explanation:

1500/105.... just plug n in, n = 105

Answer:

A $14.29

Step-by-step explanation:

d = 1500/n

d = 1500/105

d = 14.2857..

d = $14.29


Find the equation of a line that passes through the point (4,2) and has a gradient of 5.
Leave your answer in the form y = mx + c

Answers

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

m is the slopeb is the y-intercept

In our case, we are given

m = 5Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 400 miles apart after 2 hours, what is the rate of the eastbound train?

Answers

Answer:

Rate of the Eastbound train is 93 mph.

Step-by-step explanation:

Let the speed of the Eastbound train = x miles per hour

And the speed of the West bound train = y mph

Eastbound train travels 14 mph slower than the westbound train,

So the equation will be,

y - x = 14 ----------(1)

If these trains are 400 miles apart after 2 hours,

Distance traveled by the Eastbound train = Speed × Time

                                                              = 2x miles

Distance traveled by the Westbound train = 2y miles

Trains are 400 miles apart after 2 hours,

So the equation will be,

2y + 2x = 400

x + y = 200 ----------(2)

By adding equation (1) and equation (2)

(y - x) + (x + y) = 14 + 200

2y = 214

y = 107 mph

From equation (1)

107 - x = 14

x = 107 - 14

x = 93 mph

Therefore, rate of the Eastbound train is 93 mph.

Why is 40x-16 not equivalent?
Please help (i’m in 7th grade)

Answers

Answer:

40x-6 is not equivalent because 16 is not a multiple of 40

Step-by-step explanation:

if you write the multiples of 4o you will see that 16 is not one of them so that means 40x-16 is not equivalent

(4x2 – 3x + 2) - (x - 5)(x + 5)+ 6x?

Answers

Answer:

The answer is 3x^2 + 3x + 27

Step-by-step explanation:

Simplify the expression.

hoped this helped!

brainly, please?

53 + 4(121 -1) - 120

Answers

Answer:

Step-by-step explanation:

using the pemdas method

121-1= 120

57*120= 6840-120= 6720

RIGHT ANSWER GET BRAINLIEST

Answers

a^n + a^n+1

rewrite a^n+1 as a^1 a^n

now you have a^n + a^1a^n

Factor out the common term to get the final answer:

a^n (1+a)

A man drive 250 miles on 2.5 hours.if the posted speed limit was 75 mph the entire way, approximately how many miles per hour over the speed limit was he going

Answers

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

Which best describes the relationship between the two triangles below?
M
51°
N
F
51
H Н
36
369
G
O AMLN-AFGH because of the third angle theorem. ZM ZF ZL ZG, and ZNE ZH.
AMIN may or may not be similar to AFGH because the third angle is unknown.

Answers

Answer:

It’s the bottom answer.

Step-by-step explanation:

hope I helped

The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔLMN, the measure of the third angle is calculated as,

∠N + ∠M + ∠L = 180°

∠N + 51° + 36° = 180°

∠N = 93°

In triangle ΔFGH, the measure of the third angle is calculated as,

∠H + ∠F + ∠G = 180°

∠H + 51° + 36° = 180°

∠H = 93°

In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

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HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A
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