St
Problems
1 1.3 - (-2.5)
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Answer:

[tex]3(x - 7)(x+7)[/tex]

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that [tex]3x^2[/tex] and -147 both have. The terms only have 3 in common, which can be divided with

[tex]3x^2 - 147\\3(x^2 - 49)[/tex]

However, we're still not done since 49 is a perfect square and [tex](x^2 - 49)[/tex] can be split into 2, like so:

[tex]3(x - 7)(x+7)[/tex]

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

Answer:

-24

Step-by-step explanation:

1/8(5y+64)=1/4(20+2y)

Multiplying both sides of the equation...

1/8(5y)+1/8(64)=1/4(20)+1/4(2y)

1/8(5y)+(64/8)=(20/4)+(2y/4)

1/8(5y)+8=5+y/2

1/8(5y)+8=5+1/2(y)

Now multiplying through by the least common multiple, which is 8

8×1/8(5y)+8×8=8×5+8×1/2(y)

1×1(5y)+64=40+4×1(y)

Simplifying both sides...

5y+64=40+4(y)

5y+64=40+4y

By grouping like terms...

5y-4y=40-64

1(y)= -24

y= -24

hope this was helpful

Answer:

If I do not like art class, then I do not like painting.

Step-by-step explanation:

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Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, we should get 20² + 99² = 101² and we need to check if this is a true statement.

400 + 9801 = 10201

10201 = 10201 so yes, it is.

Answer:

Step-by-step explanation:

Any multiple of the given equation is also a dependent linear equation

From the equation

-5x+7y=2

Multiplying all through by any number, say 2

2(-5x)+2(7y)=2(2)

-10x+14y=4 is a dependent linear equation for -5x+7y=2

If you don't fancy using a multiple, you can write the gradient equation y=mx+c

-5x+7y=2

7y=5x+2

Dividing all through by 7 gives the equation as

y=5x/7 + 2/7

Answer:

Line S and Line Q

Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.

A pair of perpendicular lines in the given figure are line q and line s.

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

Given:

There are 4 lines in the diagram.

To find the pair of perpendicular lines:

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

And line q is perpendicular to line s.

Therefore, line q is perpendicular to line s.

To learn more about the perpendicular lines;

https://brainly.com/question/1202004

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Answer:

x = 2 , y = 4

Step-by-step explanation:

If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

From the parallelogram we see:

2x = y

y = 2x

Substitute y = 2x in 2(y) - 2 = 6, gives:

2(2x) - 2 = 6

4x = 6 +2

x =2

Substitute x = 2 in y = 2x, gives:

y = 2(2)

y = 4

So x = 2 , y = 4

Answer:

Step-by-step explanation:

AP = 8, 24 , 40....

a = 8 , d =16 , n =98 , An = ?

an= a +(n-1)d

an = 8+97*16

an=8+1552

an=1560

hope it helps you..

The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.

The nth term is an arithmetic sequence is expressed as;

aₙ = a₁ + ( n - 1 )d

Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.

Given the data in the question;

We substitute our given values into the expression above.

aₙ = a₁ + ( n - 1 )d

a₉₈ = 8 + ( 98 - 1 )16

a₉₈ = 8 + ( 97 )16

a₉₈ = 8 + 1552

a₉₈ = 1560

Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

Learn more about arithmetic sequence here: https://brainly.com/question/15412619

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Answer: 187.5 tons of cement

Step-by-step explanation:

From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:

= 750 tons of cement/4

= 187.5 tons of cement

The company used 187.5 tons of cement per mile.

Answer: The company used 187.5 tons per mile.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the amount of cement used (750 tons) by the miles that the company pavemented (4 miles):

Mathematically speaking:

750 t / 4 m = 187.5 tons per mile

The company used 187.5 tons per mile.

Feel free to ask for more if needed or if you did not understand something.

Answer:

(2, 5)

Step-by-step explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows  cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______  (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows

Answer:

y = 2/5x+2

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (4-2)/(5-0)

    =2/5

The y intercept is 2

The slope intercept form is y = mx+b

where m is the slope and b is the y intercept

y = 2/5x+2

Answer:

y = mx + c

1) find the gradient, m

[tex]m = \frac{4 - 2}{5 - 0} [/tex]

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

2) find value of y-intercept, c

from the graph, c = 2

2) use the formula y=mx+c

y = mx + c

y = 2/5x + 2

the answer is A

Answer:

The ticket is bought for 28 students.

Step-by-step explanation:

It is given that the teacher is going to buy museum ticket for each students.

Total money spent = $182

Price of each ticket = $6.50

Let total number of tickets bought = [tex]x[/tex]

We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) [tex]x[/tex] number of times.

OR

In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.

Total money spent = [tex]x \times 6.50[/tex]

We know that total money spent is $182.

[tex]\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28[/tex]

The ticket is bought for 28 students

Answer:

C

Step-by-step explanation:

this is quite confusing

Answer: i think it is 11x+7x

Step-by-step explanation:

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3[tex]\sqrt{2}[/tex] m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3[tex]\sqrt{2}[/tex])^2 + ( 3[tex]\sqrt{2}[/tex])^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps

Answer:

8

Step-by-step explanation:

X=8 bc 8-3=5

Answer:

√b/a

Step-by-step explanation:

Answer:

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

Step-by-step explanation:

Given

an² = b ( divide both sides by a )

n² = [tex]\frac{b}{a}[/tex] ( take the square root of both sides )

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

Answer:

tanθ=2√2

Step-by-step explanation:

cosθ= 1/3, and θ is acute;

cos²θ=1/9

sin²θ+cos²θ=1

sin²θ=1-cos²θ=1-1/9=8/9

=> sinθ=√(8/9)=2√2 /3

tanθ=sinθ/cosθ

tanθ=(2√2 /3)/(1/3)=2√2

tanθ=2√2

Answer:

Step-by-step explanation:

2m

______

2

______ X 0m X 0

1

= 0

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333

Answer and Step-by-step explanation:

The computation is shown below:

As we assume a and b are together and c and d are together

So, the equation would be

[tex]= ab \times cd[/tex]

[tex]= (10a + b) \times (10c + d)[/tex]

= 100ac + 10(ad + bc) + bd

Now another equation i s

[tex]= ba \times cd[/tex]

[tex]= (10b + a) \times (10d + c)[/tex]

= 100bd  + 10(ad + bc)  + ac

Now take both equations together

So,

100ac  + 10(ad + bc)  +  bd  = 100bd  + 10(ad + bc)  + ac

99ac  =  99bd

ac = bd

Now Like here  a = 2   b = 10  and    c  = 5   d = 1

So,

ac = bd = 10

So we can take an example like this

So, by considering the

[tex]62 \times 13 = 806[/tex]

And,

[tex]26 \times 31 = 806[/tex]

We can the same amount

So in the given question, the choices are not there so we can calculate by the above method

Answer:

Paco contributed = 360pesos

Juan contributed = 504pesos

Question:

Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.

Step-by-step explanation:

Let the common factor between each brother = p

Paco gave = 5×common factor = 5p

Juan gave = 7×common factor = 7p

Total money contributed by both brothers = 864

Total money contributed by both brothers = 5p + 7p

5p + 7p = 864

12p = 864

p = 864/12

p = 72

Paco contributed = 5p = 5×72 = 360pesos

Juan contributed = 7p = 7×72 = 504pesos

Answer:

9.5

Step-by-step explanation:

Answer:

The numerator of the fraction is -360

Step-by-step explanation:

a=180(n-2)/n

Solve for n

a=180(n-2)/n

Open parenthesis

a=180n-360/n

Cross product

an=180n-360

Collect like terms

an-180n=-360

Factorise

n(a-180)=-360

Make n the subject of the formula

n=-360/(a-180)

The numerator of the fraction is -360

The denominator is (a-180)

Answer:

-360

Step-by-step explanation:

The answer is 2.

Please see the attached picture

Hope it helps

Good luck on your assignment

Answer:

[tex]256cm^2[/tex]

Step-by-step explanation:

Calculate the area of the two triangles first: 6 * 16 = 96

Then the rectangle: 10 * 16 = 160

160 + 96 = 256

Answer:

x=72

Step-by-step explanation:

[tex]x\div 9=8[/tex]

Multiply both sides by 9 to isolate x:

[tex]x=8\cdot 9=72[/tex]

Hope this helps!

Answer:

Commutative property

Step-by-step explanation:

This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.

(4)(2) = 8

(2)(4) = 8

Answer:

84

Step-by-step explanation:

since the triangle has parallel lines running through the angles equal the same for the triangle so finding x was just 180 - y+z =x

Answer:

You Can Open up this link to find your answer!!

Step-by-step explanation: