simplify (2x + 3)(2x - 3) - (25x + 10) with all steps included.

Answer:

Step-by-step explanation:

Distribute the negative sign to turn the equation into pure addition. Then, change the denominator of the two fractions to the same thing.

Multiply 12/11 by 3/3

[tex]\frac{12}{11}*\frac{3}{3}=\frac{36}{33}[/tex]

Multiply 2/3 by 11/11

[tex]\frac{2}{3}*\frac{11}{11} =\frac{22}{33}[/tex]

Add them together now

[tex]\frac{36}{33} +\frac{22}{33} =\frac{58}{33}[/tex]

Answer:

1.758 Hope this helps :,D haven't spoken to u in a it tho- want to rp?

Step-by-step explanation:

Answer:

The total amount of granola bars ordered were 840 granola bars.

Step-by-step explanation:

Multiply 35 by 24.

If Mr. Kowolski ordered 35 boxes of granola bars and Eoch box contained 24 granola bors then 840 is the total number of granola bars Mr. Kowolski ordered.

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Kowolski ordered 35 boxes of granola bars.

Each box contained 24 granola bors.

We need to find the total number of granola bars Mr. Kowolski ordered.

To find this we have to multiply thirty five with twenty four.

Multiplication is a method of finding the product of two or more numbers

35×24

We get eight hundred forty

840

Hence, 840 is the  total number of granola bars Mr. Kowolski ordered.

To learn more on Equation:

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Answer:

y=x-9

y=2x-15

Step-by-step explanation:

To solve this we can just pick a random number for our slope and solve for the y intercept

For example lets say the slope is 1

we know that wehn x=6 y= -3 so we have the following equation

-3= 6+b

B is -9

which means one equation is

y=x-9

We can just repeat this same process

Let's say the slope is 2

-3 = 2*6+b

-3= 12

b= -15

which means taht

y=2x-15

Answer:

3.17

Step-by-step explanation:

Find the price w the discount:

4 × .25 = 1

4 - 1 = 3

Add sales tax:

3 × 1.055 = 3.165

good luck, i hope this helps :)

Answer:

70

Step-by-step explanation:

5+7=12

£720÷12= 60

5:7

5×60=300

7×60=420

300:420

Answer:

blue box: 88

orange box: 13

Answer:

8 yards. Trust me. I love mental math.

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

9 x 3 = 27

27 + 27 = 54

the answer is 148

hope that helped lol

Answer:

Step-by-step explanation:

145+15x>490. subtract 145 from both sides

15x>345, divide both sides by 15

x>23

So she will need to run for more than 23 weeks to reach her goal.

Answer:

18

Step-by-step explanation:

Hope this helps!

Answer: $25

Step-by-step explanation:

1: 0.18 * ? = 4.50

2: ? = $4.50 / 0.18

3: ? = $25

Answer:

11) -104÷8=x

-13=x

x=-13

12) b=-56÷14

b=-4

13) -6×18=b

b=-108

14) n=40÷10

n=4

The first statement should be;

y is inversely proportional to a³.

Answer:

y = 0.64/x³

Step-by-step explanation:

y is inversely proportional to a³. This is;

y ∝ 1/a³

Thus, y = k(1/a³).

Where k is the constant of proportionality.

When y = 10, a = 2.

Thus; 10 = k(1/2³)

10 = k/8

k = 80.

Thus; y = 80(1/a³) - - -(1)

Also, a is directly proportional to x. Thus;

x ∝ a

So, x = ka

when x = 4, a = 20

Thus;

4 = 20k

k = 4/20

k = 1/5

Thus;

x = a/5

a = 5x

Put 5x for a in eq 1 to get;

y = 80(1/(5x)³)

y = (80/125) × 1/x³

y = 0.64/x³

Answer:

-3 1/7

Step-by-step explanation:

The required simplified mixed number of -24 divided by 7 is -3 3/7.

To divide -24 by 7, the result is a mixed number in simplified form.

Divide -24 by 7:

-24 ÷ 7 = -3.428571...

Simplify the result as a mixed number:

To write the mixed number, we take the whole number part, which is -3, and the fractional part, which is the remainder after dividing.

The remainder is approximately 0.428571... (it goes on infinitely), but we'll round it to the nearest fraction for simplicity.

Approximately, 0.428571... is closest to 3/7.

So, the simplified mixed number is -3 3/7.

Learn more about mixed numbers here:

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Answer:

(-5 , 1)

Step-by-step explanation:

because this point lies in the shaded region.

Answer:

34+(-12) =22

Step-by-step explanation:

because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers

Answer:

Explanation:

3x + 5 + 3x + 4 + 3x + 9 = 180

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

9x + 18 = 180

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

Answer:

¹⁴⁵⁸³³³³³³³³⁄₁₀₀₀₀₀₀₀₀₀₀₀

Step-by-step explanation:

lol

Answer:

Distribute:

=(−2)(4x)+(−2)(−4)+x

=−8x+8+x

Combine Like Terms:

=−8x+8+x

=(−8x+x)+(8)

=−7x+8

Step-by-step explanation:

Answer:

x  

2

−4x+4=0

To solve the equation, factor x  

2

−4x+4 using formula x  

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−4

ab=4

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 4.

−1,−4

−2,−2

Calculate the sum for each pair.

−1−4=−5

−2−2=−4

The solution is the pair that gives sum −4.

a=−2

b=−2

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−2)(x−2)

Rewrite as a binomial square.

(x−2)  

2

To find equation solution, solve x−2=0.

x=2

Step-by-step explanation:

hope this helped heres a graph

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

given tanB= 4/3

so sinB=4/5

n cosB=3/5

given BC=15

BA=BC*cosB

=15*3/5

=9

AC=BC*sinA

=15*4/5

=12

Triangle ABC and DBE are similar by AAA

DB= BA-AD

=9-3

=6

DB/BA=DE/AC

6/9=DE/12

DE=12*6/9

=8

Answer:

DE = 8

Step-by-step explanation:

ΔABC and ΔDBE are similar.

As they share the same angles, the sides are in proportion to each other.

Therefore, we can solve using ratios.

Tan trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

  [tex]\sf \tan (B)=\dfrac{4}{3}[/tex]

Therefore:

[tex]\implies \sf \dfrac{DE}{BD}=\dfrac{AC}{BA}=\dfrac{4x}{3x}[/tex]

We know that BC = 15 and that AC : BA = 4x : 3x

Using Pythagoras' Theorem:

[tex]\implies \sf (3x)^2+(4x)^2=15^2[/tex]

[tex]\implies \sf 9x^2+16x^2=225[/tex]

[tex]\implies \sf x^2(9+16)=225[/tex]

[tex]\implies \sf x^2=9[/tex]

[tex]\implies \sf x=3[/tex]

Therefore,

⇒ AC = 4 · 3 = 12

⇒ BA = 3 · 3 = 9

Now we have found the length of BA, we can find the length of BD:

⇒ BD = BA - DA

⇒ BD = 9 - 3

⇒ BD = 6

As DE : BD = 4x : 3x  and  BD = 6 then:

⇒ 3x = 6

⇒ x = 2

Therefore, to find DE, substitute x = 2:

⇒ DE = 4x

⇒ DE = 4(2)

⇒ DE = 8

I hope it helps you ❤️❤️❤️

Answer:

yes

Step-by-step explanation:

60 - 0.1(60) = 54

60 - 6 = 54

54 = 54

Answer:

459.49

Step-by-step explanation:

100%->434.71

105.7%->459.48847

            ≈459.49