In a parallelogram, the base is 3 times the height.
The area is 151.
How long is the base of the parallelogram?
Round your answer to the nearest tenth, if necessary.​

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

\(x = \frac{-6y+7}{5}\)

Step-by-step explanation:

\(6y + 5x = 7\)

Isolate x ;

\(5x = 7-6y\\\\5x =-6y+7\)

Divide both sides of the equation by 5

\(\frac{5x}{5} = \frac{-6y+7}{5} \\\\x = \frac{-6y +7}{5}\)

The surface area of the given solid will be 101.12 square units and the volume will be 72 cubic units.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

Total volume = Volume of pyramid + Volume of the cuboid

Total volume = \(\dfrac{1}{3} \times L\times W\times h\ \ \ + \ \ \ L\times W\times h\)  

Total volume = \((\dfrac{1}{3} \times 3\times 3\times 6)+( 3\times 3\times 6)\)

Total volume = 54    +    18

Total volume = 72 cubic units.

The space occupied by any two-dimensional figure in a plane is called the area.

Total surface area = SA of pyramid + SA of cuboid

Total surface area = w√(4h²+l²)  +  4 (Lx H)+(L xW)

Total surface area = 3√(4(3)²+3²)   + 4 (3x6) + ( 3x3)

Total surface area = 9√5+72+9

Total surface area = 101.12 square units.

Hence the surface area of the given solid will be 101.12 square units and the volume will be 72 cubic units.

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Answer:

Add 3/4 to 16

Step-by-step explanation:

x/4= 16 + 3/4

multiply by 4

x= 67

Answer:

Step-by-step explanation:

x - 3 = 16

   4

cross multiply

x - 3 = 16 (4)

simplify:

x = 64 + 3

x = 67

Answer:

Step-by-step explanation:

2x² + 6x - 5 = 0

D = 36 + 40 = 76 = (2√19)²

\(x_{1}\) = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2

\(x_{2}\) = ( - 3 + √19) / 2

Answer: V≈1385.44m

Step-by-step explanation:  V=π(d2)2h=π·(142)2·9≈1385.44236m³

Answer:

multiply the base by the height, and then divide by 2

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1. Find the base and height. (or, depending on the situation, calculate them)

2. Multiply the base by the height.

3. Divide by 2.

The correct answer is C. Airport S has 100 on-time flights, and Airport T has 200 on-time flights. Since 100 is one-half of 200, Airport S has one-half the number of on-time flights that Airport T has.

Given that,

The number of flights that were either on time or delayed at three separate airports on a given day is depicted in the segmented bar chart below.

Which of the following statements is the bar chart evidence for?

The options are : In comparison to the other two airports, A Airport T has the highest proportion of on-time flights.

In comparison to the other two airports, B Airport R has the lowest percentage of on-time flights.

C The proportion of on-time flights at Airport S is less than half that at Airport T.

D The proportion of on-time flights at Airport R is lower than that at Airport S.

E There are exactly as many flights at Airport T as there are at Airports R and S put together.

As the number of flights that were either on time or delayed at three different airports on one day can be exactly represented by

The correct answer is less than half as many flights arrive on time at Airport S than at Airport T.

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The Complete Question is :

Which of the following statements is the bar chart evidence for the number of flights that were either on time or delayed at three different airports on one day.?

Answer:

Step-by-step explanation:

Ok. If this is surface area we will have to multiply all the areas together. So, 12 x 8 x 2 = 192. Your answer will be 192.

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer:

- 6 + 24 i

Step-by-step explanation:

Use distributive property to remove parentheses and then combine like terms:

6 + 9i - 12 + 15 i = - 6 + 24 i

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

The average diameter of a can in inches is 2.4 inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a 12-ounce soda can has a height of 4.875 inches.

We know that, 1 ounce = 1.805 cubic inches

Here, 12 ounce = 21.6563 cubic inches

As we know, volume of cylinder is πr²h.

Now, 21.6563 = 3.14×r²×4.875

21.6563 =r²×15.3075

r²=21.6563/15.3075

r²=1.414

r=1.2 inches

Then, diameter = 2.4 inches

Therefore, the average diameter of a can in inches is 2.4 inches.

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i had to do the answer as a pic cuz my iPad is gonna die.

sorry <:)

Answer:

Step-by-step explanation:

x = - 23

y = - 5

z = - 10

(x - 12)/(y+z)=

(-23 - 12)/(-5-10)=

45/15=

7/3

Step-by-step explanation:

To calculate the total cost of the truck including all payments and down payment, we can use the formula for the future value of an annuity due:

FV = PMT × (((1 + r/n)^(n×t) - 1) / (r/n)) + PV × (1 + r/n)^(n×t)

where:

- FV is the future value of the annuity due (the total cost of the truck including all payments and down payment)

- PMT is the monthly payment

- r is the annual interest rate (4%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (3)

- PV is the present value of the annuity due (the amount financed after the down payment)

First, we need to calculate the monthly payment:

PMT = (r/n) × PV / (1 - (1 + r/n)^(-n×t))

PV = $18,000 - $2,000 = $16,000

PMT = (0.04/12) × 16000 / (1 - (1 + 0.04/12)^(-12×3)) = **$470.98**

Now we can calculate the future value of the annuity due:

FV = PMT × (((1 + r/n)^(n×t) - 1) / (r/n)) + PV × (1 + r/n)^(n×t)

FV = 470.98 × (((1 + 0.04/12)^(12×3) - 1) / (0.04/12)) + 16000 × (1 + 0.04/12)^(12×3) = **$19,981.63**

Therefore, the total cost of the truck including all payments and down payment is **$21,981.63**.

Answer:

$17.49

Step-by-step explanation: You need to subtract $30.39 by $12.90

$30.39

-$12.90

First, its 9 - 0 which will = 9.

Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.

So 13 - 9 = 4.

Now you have 9 - 2. Which will = 7.

Last, its 2 - 1 which will = 1.

so after all of that you get: $17.49

Answer:

Step-by-step explanation:

To find the balance, take the old balance and subtract the amount spent on groceries.  next u have to minues -12.90 from 30.39 =17.49

Answer:

The squirrel

Step-by-step explanation:

4.5/30 is 0.15 per minute while the squirrel is 4/20 which equals 0.2 per minute. 0.2 is greater than 0.15 making the squirrel faster. Hope this helps!

Answer:

Step-by-step explanation:

6(x+1) = -2(3x+9)

6x+6 = -6x-18

6x+6x+6-6 = -6x+6x-18-6

12x=-24

x= -2

Answer: is A

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

When you simplify it, you get the answer of 1.

Step-by-step explanation:

Order of operation rules are required that you multiply and divide before you carrying out addition and/or subtraction.

So, simplify 2/3 / (-4) first, obtaining -1/6.

Now, you have -1/6 - 1/6 + 8/6, which combines to 1 or 6/6.

5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

The equivalent expression is the one in the last option:

\(\sqrt[10]{y}\)

Here we want to find an expression equivalent to:

\((\frac{1}{\sqrt{y} } )^{-1/5}\)

Remember the two rules for exponents that we need to use here:

\(x^{-n} = (1/x)^n\)

\(x^{1/n} = \sqrt[n]{x}\)

Using the first rule, we can rewrite our expression as:

\((\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5}\)

Now we can rewrite the root of a root to get:

\((\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5} = \sqrt[5]{\sqrt{y} } = \sqrt[10]{y}\)

Where in the last step we just multiplied the exponents for the roots, we can see that the correct option is the last one.

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Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

$405

Step-by-step explanation:

2700 x 0.15 = 15% of 2700