Evaluate and simplify the expression
when a = 4 and b = -1.
5 - 2(a + 3b)/2

Answer:

-12x + 4

Step-by-step explanation:

Just write the givens like this f(x) + g(x)  

f(x) + g(x) = -7x + 1  + - 5x + 3

f(x) + g(x) = - 7x + 1 - 5x + 3

f(x) + g(x) = - 12x + 4

Answer:

For the question 7 its congruent for 8 it's not congruent

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). Slope of a line shown on the graph will be,

   Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

              = [tex]\frac{-4}{1}[/tex]

              = -4

2). Slope of the given horizontal line can be determined by,

    Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

    Since, rise of the given line is zero.

    Therefore, slope of the given horizontal line will be 0.

3). Slope of the line passing through the indicated line = -2

    Therefore, a line which has a rise = -2 and run = 1 can be drawn on the given blank grid (As attached).

Answer:

Step-by-step explanation:

1. -4. Explanations vary. Sample explanation: for each horizontal change of 1, the vertical change is -4, so the slope of the line is -4.

2. 0. Responses vary. Sample response: The amount of rainfall on a day with no rain.

3. A graph through the indicated point with a slope of -2.

Answer:

11

Step-by-step explanation:

Answer:

a=5.5 I hope this helped you

Answer:

He throws 7 passes

Step-by-step explanation:

say he throws x more completed passes.

62.5% = 5/8. So, counting up all the completions, we must have

18 + x = 5/8 (33+x)

He total completes:

18 passes during the first three quarters and x passes

during the fourth quarter = 18 + x passe

He total make:

33 throws during the first three quarters and x throws

during the first the fourth quarter = 33 + x

62.5 % = 62.5 / 100 = 0.625

Proportion is:

( 18 + x ) / ( 33 + x ) = 0.625

Multiply both sides by 33 + x

18 + x = ( 33 + x ) ∙ 0.625

18 + x = 33 ∙ 0.625 + x ∙ 0.625

18 + x = 20.625 + 0.625 x

Subtract 18 to both sides

18 + x - 18 = 20.625 + 0.625 x - 18

x = 2.625 + 0.625 x

Subtract 0.625 x to both sides

x - 0.625 x = 2.625 + 0.625 x - 0.625

0.375 x = 2.625

Divide both sides by 0.375

x = 2.625 / 0.375 = 7

In the fourth quarter throw 7 passes.

Proof:

( 18 + 7 ) / ( 33 + 7 ) = 25 / 40 = 0.625 = 62.5 %

There are 7 passes does the quarterback throw in the fourth quarter.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A quarterback completes 18 of 33 passes during the first three quarters of a football game.

And,  He completes every pass in the fourth quarter and 62.5% of his passes for the entire game.

Now,

By the given condition, we get;

Let x passes during the fourth quarters.

Hence, The total completes for 18 passes during first quarter = 18 + x

And, The total completes for 33 passes during first quarter = 33 + x

And,  He completes every pass in the fourth quarter and 62.5% of his passes for the entire game.

So, 62.5% = 62.5 / 100

                = 0.625

Thus, We get by proportions;

⇒ (18 + x) / (33 + x) = 0.625

Solve for x as;

⇒ (18 + x) / (33 + x) = 0.625

⇒ (18 + x) = (33 + x) × 0.625

⇒ 18 + x = 20.625 + 0.625x

⇒ x - 0.625x = 20.625 - 18

⇒ 0.375x = 2.625

⇒ x = 2.625 / 0.375

⇒ x = 7

Thus, There are 7 passes does the quarterback throw in the fourth quarter.

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Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

Answer:

1. 3

2. 1

3. 2

4. 4

Step-by-step explanation:

Answer:

=3.162

Step-by-step explanation:

x2  

= −0 + √ 02 − 4×1×(−10)  

2×1

= 0 + 2 × √ 10  

2

= 3.162

Answer:

220 miles

Step-by-step explanation:

85-30=55

55/0.25=220

Answer:

0.5

Step-by-step explanation:

Answer:

3 batches of cookies

Step-by-step explanation:

Bank. A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

We can calculate the batches using either cups of flour or number of teaspoons.

For flour

5 cups of flour = 1 batch of cookies

15 cups of flour = x

Cross Multiply

5x = 15 × 1

x = 15/5

x = 3 batches of cookies

For teaspoons of vanilla

2 teaspoons of vanilla = 1 batch of cookies

6 teaspoons of vanilla = x

Cross Multiply

2x = 6 × 1

x = 6/2

x = 3 batches of cookies.

Hence: you can make 3 batches of cookies with 15 cups of flour and 6 teaspoons of vanilla

Answer:

8.9

Step by Step explanation:

20.5/14.7=1.64

12.5/1.64=8.9

Answer:

Step-by-step explanation:

-5y+6x=40

15y/15=40/15-6x/15

y=8/3-2/5x

Divide John's goal amount by his hourly rate to find the answer.

$600 ÷ $7.50/hour = 80 hours.

So, John will have to work a total of 80 hours in order to earn $600.

Answer:

80

Step-by-step explanation:

If you divide 600 with 7.50 you will get 80.

That is simple!

Find the GCD (or HCF) of numerator and denominator

GCD of 600 and 750 is 150

Divide both the numerator and denominator by the GCD

600 ÷ 150

750 ÷ 150

Reduced fraction:

4

5

Therefore, 600/750 simplified to lowest terms is 4/5.

Answer:

the answer is D

Step-by-step explanation:

the equation u need to use is y-y¹= m(x- x¹)

plug in 10 with the second y , 2 for the m , and 3 for the second x

Answer:

22

Step-by-step explanation:

just subtract 55-33

Answer: Rafael is incorrect

Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.

Answer:

No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line

Step-by-step explanation:

Answer:

5-( 2.40+1.33 )= $1.27

Step-by-step explanation:

If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.

I hope this helps!

Answer:

107

Step-by-step explanation:

Answer:

B- 27/9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Algebraically, both sides of the equation must equal each other.

[tex]4(12x-6)=6(-4+5x)+18[/tex]

Distribute

[tex]4(12x-6)=6(-4+5x)+18\\48x-24=30x-24+18\\[/tex]

Add, subtract, multiply, or divide to isolate x.

[tex]48x-24=30x-24+18\\48x-24=30x-6\\18x=18\\x=1[/tex]

The solution to this equation is 1.

To test, you can plug in x with 1 and you will see that both sides equal each other.

Answer:

c = 80:)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

H77777777

Answer:

48%

Step-by-step explanation:

If the coin is flipped 250 times, and lands on tails 120 times, set this up as a fraction. Put 250 on the bottom, and 120 on the top (because you want to know percentage of tails for 250 coin flips) to get 120/250. This is 0.48, to turn this into a percentage multiply by 100, 48%. You can check this answer by taking 0.48(250) and you will get 120.

Answer:

3 − 12 and the solution would be -4

    3

Step-by-step explanation:

Sorry if I'm late

Answer:

Step-by-step explanation:

1 and 3

Answer:

100

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

The measures of unknown angles are, m∠2 is 42°, m∠1 = 88° and

m∠3 = 113°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know vertically opposite angles are of equal measure.

∴ m∠2 is 42°.

We know the sum of all the interior angles in a triangle is 180°.

∴ m∠1 = 180° - 50° - 42°.

m∠1 = 88°.

m∠3 = 180° - 42° - 25°.

m∠3 = 113°.

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Answer:

361 and 362

Step-by-step explanation:

a+b=723

b-a=1

b=1+a

a+1+a=723

2a+1=723

2a=723+1

2a=724

a=362

362+b=723

b=723-362

b=361

so b and a are 361 and 362 respectively

hence the consecutive numbers are 361 and 362

Answer:

the answer is 240,241,242

Step-by-step explanation: