Algebraic Simplification
Solve
1. (5a- 6b) + (4a +8b)
2.pqr+pqr-2qrs+5qrs-3pqr
(Need step by step explanation)

Answer:

No y intercept! It's a vertical line. x= -1 though. (I think)

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

2x-3/3=X/2

or, (2x-3)×2= 3x ( cross multiplication )

or, 4x-6=3x

or,4x-3x=6

... 1x=6

hence ...... x=6

Answer:

6 buses

Step-by-step explanation:

138 students / 23 students per bus = 6 buses

Answer:

they'll need 6 buses

Step-by-step explanation:

138 students divided by 23 leads for 6 buses needed

Answer: 28°

Step-by-step explanation:

Add 79+73 and subtract from 180°

Answer:

1/3

Step-by-step explanation:

Answer: The answer is [tex]\frac{1}{3}.[/tex]

Step-by-step explanation:

Step #1. Using with the unlike denominators, we find The Least Common Denominator: [tex]LCD= 15.[/tex]

Step #2. We multiply the numerators and the denominators in order to get The LCD in all the fraction denominators that looks in the equation like this: [tex]\frac{4*3}{5*3}+\frac{3}{15}-\frac{2*5}{3*5}.[/tex]

Step #3. Then we've begun rewriting the equation with the equivalent fractions that look in the equation like this: [tex]\frac{12}{15}+\frac{3}{15}-\frac{10}{15}.[/tex]

Step #4. Using with the like denominators we could also operate just only the numerators that look in the equation like this: [tex]\frac{12+3-10}{15}=\frac{5}{15}.[/tex]

The last but not least is step #5: We finally simplifying the equivalent fraction answer by 5 that look in the equation like this: 5÷5/15÷5=[tex]\frac{1}{3}.[/tex]

I hope my answer is very helpful to your own fraction of the math question, please mark me as brainliest and have a great weekend! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB and WHCI Student of The High School.

Answer:

82.5% = 66/80

Answer:

$3.25 per cone

Step-by-step explanation:

$22.75/7 =3.25

Answer:

3.25

Step-by-step explanation:

Answer:

D. 44 feet

Step-by-step explanation:

If her garden is square, that means that to find out the length of one wall we find the square root of 121. The square root of 121 is 11. Then because the garden needs 4 walls of fencing, we multiply 11x4=44.

Answer:

D) 44 feet

Step-by-step explanation:

As, the area of any square = Side x side

So here let's take side as "s"

So s x s = 121 square feet

S^2 = 121

So, s = the square root of 121

So, s = 11 cm

So the length of one side of the garden = 11 cm

So all the side are equal in a square

So, to fence we need to find the perimeter

Perimeter of square = 4s

= 4 x 11

= 44 feet

Hope it helps

efseegbszgea

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

6300/70=90

Answer:

1.5 hours

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Aya and Mary distance = 12 miles

Let, meeting point from Aya = Z miles

So, Aya covers Z miles to reach Mary.

Hence, Mary covers (12 - Z ) miles to reach Aya

Here, Time = [tex]\frac{Distance}{Speed}[/tex]

Aya = [tex]\frac{Z}{5}[/tex]

Mary = [tex]\frac{12-Z}{3}[/tex]

If, same time taken, then we can solve by following method,

[tex]\frac{Z}{5} = \frac{12-Z}{3}[/tex]

By solving the equation, we get

Z = 60 ÷ 8

Or Z = 7.5 miles

Hence, time taken for both to meet = 7.5 ÷ 5

= 1.5 hours

Answer:

-21, -18. -15, -12, -9, -6, -3, 0, 3, 6, 9, 12, 15, 18

Step-by-step explanation:

Answer:

(4x−5)(x−4)

Step-by-step explanation:

Knowing how to factor is very important and while it is a lot to explain I would be happy to. just let me know

I got (4x−5)(x−4)

Answer:

[tex](-4)^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then

(- 4)[tex](-4)^{9}[/tex]

= [tex](-4)^{1}[/tex] × [tex](-4)^{9}[/tex]

= [tex](-4)^{(1+9)}[/tex]

= [tex](-4)^{10}[/tex]

Answer:

43/18

Step-by-step explanation:

Answer:

The length of side of cube ranges between 8cm and 9cm as the given surface area is acquired when length of side of cube is 8.07 cm

Option C is correct.

Step-by-step explanation:

If the surface area of a cube is 390 cm,  then which best describes the length of the  side of the cube?

Surface area of cube = 390 cm

The formula used to find surface area of cube is: [tex]Surface area = 6a^2[/tex]

where a is the length of side of cube.

If length of side of cube = 7 cm, the surface area of cube = 294 cm

If length of side of cube = 8 cm, the surface area of cube = 384 cm

Now, if length of side of cube = 8.07 cm (found using calculator, by putting different values in the formula)

We get surface area of cube = 390 cm

So, The length of side of cube ranges between 8cm and 9cm as the given surface area is acquired when length of side of cube is 8.07 cm

Option C is correct.

radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

2 times the radius is the circle's diameter.

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).

Answer:

x² - 4x - 5

Step-by-step explanation:

Recall:

Area of a square = s² ; where s = side length

Side length of gold square = (x - 2)

Width = Side length of red = 3 inches

Area of the red part :

Area of gold part - Area of red part

(x - 2)² - 3²

(x - 2)(x - 2)

x² - 2x - 2x + 4 - 9

x² - 4x + 4 -9

x² - 4x - 5

Hence, area of red part is : x² - 4x - 5

Answer:

67.5cm^2

Step-by-step explanation:

area of a triangle is 0.5xaxb

answer : 54cm^2

pythagorus’ theorum : a^2 + b^2 = c^2

so 9^2 + x^2 = 15^2, x being the missing length

work out x ...

81 + x^2 = 225

x^2 = 144

x = 12

area of a triangle : 0.5 x base x height

so 0.5 x 9 x 12 = 54

Answer:

[tex]y < - \frac{3}{2} [/tex]

Step-by-step explanation:

1. Simplify -6+7 to 1.

[tex] - 4y - 5 > 1[/tex]

2. Add 5 to both sides.

[tex] - 4y > 1 + 5[/tex]

3. Simplify 1+5 to 6.

[tex] - 4y > 6[/tex]

4. Divide both sides by -4.

[tex]y < - \frac{6}{4} [/tex]

5. Simplify 6/4 to 3/2.

[tex]y < - \frac{3}{2} [/tex]

Therefor, the Answer is,

[tex]y < - \frac{3}{2} [/tex]

Answer:

372.33

Step-by-step explanation:

Cameron earns $0.45 for every mile he drives. He drove 827.4 miles on his last route. Multiply to find how much money he earned.

First, multiply a related set of whole numbers. Find 8,274×45. Now, count the number of decimal places in the factors. There is one decimal place in 827.4 and two decimal places in 0.45. The factors have three decimal places in all, so move the decimal point three places to the left in your answer.

372,330. → 372.330

Cameron earned $372.33 on his last route.

FORGIVE ME IF THIS IS WRONG

Cameron will earn $372.33 for driving  827.4 miles on his last route.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Cameron drives a semi-truck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives.

∴ He will earn $(0.45×827.4) = $372.33 for driving  827.4 miles on his last route.

learn more about the unitary method here :

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Answer:

582.48

Step-by-step explanation:

you just round up the 7 because the 6 tells it to

Answer:

582.48

Step-by-step explanation:

Find the number in the hundredth place  7  and look one place to the right for the rounding digit  6 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

=========================================================

Explanation:

x = number of minutes

y = amount of grain left over, in cubic meters

We can abbreviate "cubic meters" into "m^3" without quotes of course.

The silo holds 2000 m^3 of grain. This is the initial value, so it is the y intercept. This means b = 2000. If the silo wasn't completely full, then we'd have to use a different initial value.

The slope is -9 because the amount of grain decreases by 9 cubic meters per minute. We can think of it like

slope = rise/run = (change in y)/(change in x)

slope = (change in grain)/(change in time)

Saying slope = -9/1 means the change in grain is -9 m^3 and the change in time is 1 minute.

Because the slope is -9, we say that m = -9

Therefore, we go from y = mx+b to y = -9x+2000

-------------------

Note how plugging x = 0 into the equation leads to

y = -9x+2000

y = -9*0+2000

y = 0 + 2000

y = 2000

Showing that after 0 minutes, aka at the start, we have 2000 m^3 of grain.

Then at the x = 1 minute mark, we have...

y = -9x+2000

y = -9*1+2000

y = -9+2000

y = 1991

Showing that the silo lost 9 m^3 of grain since 2000-1991 = 9.

The graph y = -9x+2000 is a straight line that goes through the two points (0,2000) and (1,1991).

Answer:

y=1/4x +c

Step-by-step explanation:

2=-1+c

3=c

The equation of line passes through the point (-4, 2) will be;

⇒ y = 1/4x + 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 2).

And, The parallel line is,

⇒ y = 1/4x + 1

Now,

Since, The equation of line passes through the point (- 4, 2).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 1/4x + 1

m = dy/dx = 1/4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 2 = 1/4 (x - (-4))

⇒ y - 2 = 1/4 (x + 4)

⇒ y - 2 = 1/4x + 1

⇒ y = 1/4x + 1 + 2

⇒ y = 1/4x + 3

Therefore, The equation of line passes through the point (-4, 2) will be;

⇒ y = 1/4x + 3

Learn more about the equation of line visit:

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Answer:

no solution

Step-by-step explanation:

Given

6(x - 4) = 6x + 4 ← distribute left side

6x - 24 = 6x + 4 ( add 24 to both sides )

6x = 6x + 28 ( subtract 6x from both sides )

0 = 28 ← not possible

This indicates the equation has no solution

Answer:

r = 9

Step-by-step explanation:

2 ( r - 1 ) + 3 = 19

2r - 2 = 19 - 3

2r - 2 = 16

2r = 16 + 2

2r = 18

r = 9

Answer:

24.8

Step-by-step explanation:

180-117.6 = 62.4

62.4 = 2x + 12.8

- 12.8         -12.8

------------------------

49.6 = 2x

 /2       /2

------------------------

x = 24.8