Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the
expression
17. 8(5 - 1)
a. 8 x 5 - 8x1 = 48
b. 85-8x1 - 32
c. 8 x 5-1 - 39
d. 8 % (5 - 1) *8 - 256

Answer: x1=-2

x2=2

Step-by-step explanation:

5x²+4x-19=4x+1

5x²+4x-19-4x-1=0

5x²-20=0

5x²=20

x²=20/5

x²=4

x1=-√4=-2

x2=+√4=2

To solve the simultaneous equations, set the two equations equal to each other, simplify, solve for x, and substitute the values of x back into one of the original equations to solve for y. The solutions are (2, 9) and (-2, -7).

To solve the simultaneous equations:

y = 5x^2 + 4x - 19

y = 4x + 1

Let's set the two equations equal to each other:

5x^2 + 4x - 19 = 4x + 1

Now, simplify and solve for x:

5x^2 + 4x - 4x - 19 - 1 = 0

5x^2 - 20 = 0

Divide both sides by 5:

x^2 - 4 = 0

Factor the equation:

(x - 2)(x + 2) = 0

Set each equation equal to zero:

x - 2 = 0 or x + 2 = 0

Solve for x:

x = 2 or x = -2

Now, substitute the values of x back into one of the original equations to solve for y:

When x = 2:

y = 5(2)^2 + 4(2) - 19

y = 20 + 8 - 19

y = 9

When x = -2:

y = 5(-2)^2 + 4(-2) - 19

y = 20 - 8 - 19

y = -7

Therefore, the solutions to the simultaneous equations are (2, 9) and (-2, -7).

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Answer:

3.75

Step-by-step explanation:

the number you want to turn into apercentage over the total value so you end up with a fraction. Then, turn the fraction into a decimal by dividing the top number by the bottom number. Finally, multiply the decimal by 100 to find the percentage.

Answer:

73

Step-by-step explanation:

Givens

d = 3

Equation 7d^2 + 10 = ?

Solution

7*3*3 + 10                

7*9 + 10

63 + 10 = 73

Answer:

Level term and decreasing term

Step-by-step explanation:

level- Death benefit stays the same during the course of the policy term.

term-death benefit drops usually in one year increments over the course of the policy term.

Answer:

x=0

Step-by-step explanation:

8x=12x

12x-8x=0

4x=0

x=0/4

x=0

Sue and Jerry, working together, will take approximately 13 hours and 39 minutes to paint 10 chairs. They combine their individual rates of painting to find a total rate together and then calculate the total time needed based on that combined rate.

To determine how long it will take Sue and Jerry to paint 10 chairs, we first need to find out how long it takes for them to paint a single chair together. Sue can paint a chair in 3 hours, which is a rate of 1/3 chair per hour. Jerry paints a chair in 2 1/2 hours, or 5/2 hours, which is a rate of 2/5 chair per hour. Working together, their combined rate is (1/3) + (2/5) chairs per hour.

First, find the common denominator for the two fractions which is 15, and then add the rates together: (5/15) chair per hour (Sue) + (6/15) chair per hour (Jerry) = (11/15) chairs per hour together. To find the time to paint one chair, divide 1 chair by their combined rate:

1 chair / (11/15) chairs/hour = 15/11 hours to paint one chair together.

To find the time for 10 chairs, multiply the time it takes to paint one chair by 10:

(15/11 hours/chair) × 10 chairs = 150/11 hours = 13 hours and ≈ 39 minutes.

Therefore, Sue and Jerry together will take approximately 13 hours and 39 minutes to paint 10 chairs.

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

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

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

Answer:

Step-by-step explanation:

Do the multiplication and you'll find the right answer.

Answer:

So, she can expect to win a total of $0.33 .

Step-by-step explanation:

According to the question miriam will get 5$ when the dice will show 1 or 6 .

And also she will lose 2$ for any other number .

Now ,

Total number of favorable cases for winning of 5$ for the miriam are 2.

Total number of cases = 6.

Also,

Total number of cases in which she will lose money will be 4.

So, probability of win = [tex]\frac{2}{6}[/tex].

Probability of loss = [tex]\frac{4}{6}[/tex].

Thus ,

Total amount of money that she can expect to win =

[tex]\frac{2}{6}[/tex]×5 - [tex]\frac{4}{6}[/tex]×2 = [tex]\frac{1}{3}[/tex].

So, she can expect to win a total of $0.33 .

Answer:

The perimeter of crater lake is 17.27 miles.

Step-by-step explanation:

Given as :

The shape of the lake is like a circle

The diameter of lake = d = 5.5 miles

∵ shape pf lake is circle, so the diameter of circle = d = 5.5 miles

Let The perimeter of crater lake = p miles

Now, As we know

The perimeter of circle = [tex]\pi[/tex] × diameter

the value of  [tex]\pi[/tex] = 3.14

Or, p =  [tex]\pi[/tex] × d

Or, p =  [tex]\pi[/tex] × 5.5 miles

Or, p =  3.14 × 5.5 miles

∴ p = 17.27 miles

So, The perimeter of circle = perimeter of lake = p = 17.27 miles

Hence, The perimeter of crater lake is 17.27 miles. Answer

Answer:

No Solution.

Step-by-step explanation:

5x-y=2

5x-y=-2

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

-(5x-y)=-2

5x-y=-2

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

-5x+y=-2

5x-y=-2

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

0=-4

no solution

Answer:

3x-2y^2-2

Step-by-step explanation:

3x-(2y^2+2)=3x-2y^2-2

49cm Would be your answer, sorry for the late reply

Answer:

Numbers are 8 and 12

Step-by-step explanation:

x=4+y

x+y=20

Solving both equations

4+y+y=20

2y=16

y=8

x=4+8=12

Answer:

The % of the increase in population from 1980 to 2000 will be 72.8%

Step-by-step explanation:

Let the population in the year of 1980 was x.

If the population from 1980 to 1990 has increased by 20%, then the population in the year 1990 will be [tex]x(1 + \frac{20}{100}) = 1.2x[/tex].

Now, from 1990 to 2000, the population has again increased by 20%.

So, the population in the year 2000 will be [tex]1.2x(1 + \frac{20}{100}) = 1.44x[/tex].

Again, from 2000 to 2010, the population has increased by 20%.

Therefore, the population in the year 2010 will be [tex]1.44x(1 + \frac{20}{100}) = 1.728x[/tex].

Now, the population increased from x to 1.728x between the years 1980 to 2010.

Hence, the % of the increase in population from 1980 to 2000 will be [tex](\frac{1.728x - x}{x}) \times 100\% = 72.8\%[/tex] (Answer)

Answer:

The graph with B(2,-3) i.e) y=[tex]\frac{-3}{2}[/tex] x goes through the point M(-10,15).

Step-by-step explanation:

Consider M(-10,15) and given that equation is y = kx.

Now, substitute M(-10,15) in the equation

⇒ 15 = k × -10

⇒ k = [tex]\frac{15}{-10}[/tex] = [tex]\frac{-3}{2}[/tex]

⇒ y = [tex]\frac{-3}{2}[/tex] x

Now, check with the given points B(2,-3) and B([tex]3\frac{1}{3}[/tex] , -2)

1) B(2,-3)

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

⇒(-3) = [tex]\frac{-3}{2}[/tex] × 2

⇒ -3 = -3 ⇒ LHS = RHS

⇒ B(2,-3) is the required point.

2) for b([tex]3\frac{1}{3}[/tex] , -2)

LHS ≠ RHS.

So,The graph with B(2,-3) i.e) y=[tex]\frac{-3}{2}[/tex] x goes through the point M(-10,15).

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

3x +2y = 5 → (1)

x - 2y = - 1 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(3x + x) + (2y - 2y) = (5 - 1)

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

3(1) + 2y = 5

3 + 2y = 5 ( subtract 3 from both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (1, 1 )

Answer: x=3 y=-2

Step-by-step explanation:

The other dude is wrong, I just did it and got

Marked wrong. It’s (3,-2)

Answer:

1. 2:3 = 6:9

2. 4:7 = 24:42

3. 2(6):48=3:12

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

there are 1,440 minutes in 24 hrs a day

Step-by-step explanation:

Now thank me and rate me

Hope your year has been going great !!

The answer is 1440 if im correct

Answer:

Roberta earns $164.4 on an 8 hr shift.

Step-by-step explanation:

In one hour  Roberta makes $9

So if she works for 8 hours she will be making

=> ( 9 X 8)$

=>72$

Also she earns a commission of 10.5% on selling a jewellery  worth $880

So 10.5% of 880 is

=> [tex]\frac{10.5}{100}\times 880[/tex]

=>  [tex] 0.105\times 880[/tex]

=> 92.4

Hence  Roberta will be earning a total amount of

(72+ 92.4)

=>$164.4

Answer:

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.  

Step-by-step explanation:

Given:

Let,

point S( x₁ , y₁) ≡ ( -1 , 1)  

point T( x₂ , y₂) ≡ (3 , -5)

Point M( x , y ) is the Mid point of segment ST.  

To Find:

Point M( x , y )= ?

Solution:

As Point M( x , y ) is the Mid point of segment ST.

So we have Mid Point Formula as

[tex]Mid\ pointM(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})[/tex]

On substituting the given values in above equation we get

[tex]M(x,y)=(\frac {-1+3}{2},\frac{-5+1}{2})\\\\M(x,y)=(\frac{2}{2},\frac{-4}{2}) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}[/tex]

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.  

Answer:

45

Step-by step

What do we already know about the equation?

We know that they EACH bought a hockey puck($17) and 2 shirts

Half of 214 is 107. So they had to have spent 107 separately

So we make the equation and let s represent shirts

2s + 17 = 107

    - 17            -17

2s= 90.    DIVIDE by 2

s = 45

Answer:

[tex]3 \leqslant y < 10[/tex]

The inequality that represents the given situation is (3 ≤ y < 10).

So, the inequality will be:

Which means:

So, the inequality will be:

Therefore, the inequality that represents the given situation is (3 ≤ y < 10).

Know more about inequalities here:

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Answer:

[tex]V=200\ yd^3[/tex]

Step-by-step explanation:

we know that

The volume of the prism is equal to

[tex]V=LWH[/tex]

where

L is the length

W is the width

H is the height

we have

[tex]L=10\ yd\\W=5\ yd\\H=4\ yd[/tex]

substitute

[tex]V=(10)(5)(4)=200\ yd^3[/tex]

Answer:

C.) 200 yd3

Step-by-step evaluation:

Step 1.) 4 x 5 = 20

Step 2.) 20 x 10 = 200

Step 3. (Final answer).) C.) 200 yd3

Explanation:

4 times 5 will equal 20 because, 4 + 4 + 4 + 4 + 4, or 5 + 5 + 5 + 5, equals 20.

20 times 10 will equal, the answer, 200 hundred because 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 200, and that's our answer.

Final answer:

C.) 200 yd3

Sabemos que cada niño recibe tres bolsas, por lo que dividimos 95 entre 3 y obtenemos 31 restantes 2. Debido a esto, sabemos que hay 31 niños y nos sobran 2 bolsas.

Answer:

Grover has $24, Percy has $31 and Annabeth has $19.

Step-by-step explanation:

Create equations to represent the situation.

let a be Annabeth

let g be Grover

let p be Percy

a + g = 43      Together, Annabeth and Grover have $43

g + p = 55    If Grover and Percy combine their money, they have $55

p = g + 7        Percy has $7 more than Grover

See if any of the equations can be combined. For example, we know p is g+7.

Substitute p for g+7 in an equation that has the variable p.

g + p = 55

g + g + 7 = 55    Combine like terms (g)

2g + 7 = 55   Start isolating g. Subtract 7 from both sides

2g = 55 - 7

2g = 48     Divide both sides by 2

g = 48/2    

g = 24         Money Grover has

Use the equation p = g + 7. Find "p" by substituting g for 24.

p = g + 7

p = 24 + 7   Add

p = 31    Money Percy has

Substitute g for 24 in the last equation, a + g = 43, to find a.

a + g = 43

a + 24 = 43    Subtract 24 from both sides

a = 43 - 24

a = 19     Money Annabeth has

Therefore Grover has $24, Percy has $31 and Annabeth has $19.

Answer:

Grover has $24, Percy has $31 and Annabeth has $19.

Create equations to represent the situation.

let a be Annabeth

let g be Grover

let p be Percy

a + g = 43      Together, Annabeth and Grover have $43

g + p = 55    If Grover and Percy combine their money, they have $55

p = g + 7        Percy has $7 more than Grover

See if any of the equations can be combined. For example, we know p is g+7.

Substitute p for g+7 in an equation that has the variable p.

g + p = 55

g + g + 7 = 55    Combine like terms (g)

2g + 7 = 55   Start isolating g. Subtract 7 from both sides

2g = 55 - 7

2g = 48     Divide both sides by 2

g = 48/2    

g = 24         Money Grover has

Use the equation p = g + 7. Find "p" by substituting g for 24.

p = g + 7

p = 24 + 7   Add

p = 31    Money Percy has

Substitute g for 24 in the last equation, a + g = 43, to find a.

a + g = 43

a + 24 = 43    Subtract 24 from both sides

a = 43 - 24

a = 19     Money Annabeth has

Therefore Grover has $24, Percy has $31 and Annabeth has $19.

Answer:

n=(9v-4f)/k

Step-by-step explanation:

kn+4f=9v

kn=9v-4f

n=(9v-4f)/k

Answer:

n = (-4f + 9v) ÷ k

Step-by-step explanation:

All you have to do is... flip the equation

Answer:

Quartile 1 (Q1) = 24

Quartile 2 (Q2) = 47

IQR = 23

Step-by-step explanation:

Given:

The set of data are:

13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50

The data are in increasing order. The number terms are, [tex]n = 11[/tex].

Therefore, the middle term = [tex]\frac{n+1}{2}=\frac{11+1}{2}=6^{th}\ term[/tex]

So, the median = 26

Now, the median divides the set of data into two parts. The median of first part is the quartile 1 and the median of second part is quartile 2.

So, the first part has the following terms:

13, 23, 24, 25, 26

Here also, [tex]n=5[/tex]. So, the third term is the median.

∴ Q1 = 24

The second part has the following terms:

37, 47, 47, 48, 50

Here also, [tex]n=5[/tex]. So, the third term is the median.

∴ Q2 = 47.

Now, IQR = Q2 - Q1 = 47 - 24 = 23.

Answer:

commutative property of addition

Step-by-step explanation:

Answer:

The answer to your question is commutative property of addition

Step-by-step explanation:

commutative property of addition means switching up the numbers of the equation but the sum is still the same.

Like in your qustion 1+7=8 but 7+1=8 also. The numbers 7 and 1 are switched around but the answer is still 8.