Find the missing value.
Hint: Use the number line to find the missing value.

Answer:

Angle 5

Angle 8

Step-by-step explanation:

[tex] \angle 5 \:\&\: \angle 8[/tex] measure less than the measure of Angle 1.

Answer:   w = 7,  x = 6

Step-by-step explanation:  Solve by substitution

W + b = 13

rewrite as   b = 13 - w  and substitute that value for b in the second equation

6.5w + 2b = 57.5  Then solve for w

6.5w + 2(13-w) = 57.5 . Distribute

6.5w + 26 - 2w = 57.5 .  Subtract 26 from both sides. Combine like terms and simplify

6.5w - 2w = 57.5 - 26

4.5w = 31.5  Divide both sides by 4.65

w = 7 . Substitute 7 for w in the first equation and solve for b

7 + b = 13 . Subtract 7 from both sides

b = 6

Answer:

[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{4-1}{5--2}[/tex] =

[tex]\frac{4-1}{5+2}[/tex] =

[tex]\frac{3}{7}[/tex]

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

Answer:

19

Step-by-step explanation:

Substitute the values and use the order of operations to find the correct value.

q · s + r

2 · 5 + 9

10 + 9

19

Answer:

3/8 of the box

Step-by-step explanation:

On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.

On Saturday she uses 1 1/2 times as much pancake mix as Friday.

On Friday = 1/4 of the box

On Saturday = 1 1/2 × pancake mix as Friday

[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]

Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.

Answer: 149.5 quarts

Step-by-step explanation:

From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.

The number of quarts of liquid that the containers need to hold will be:

= 13 × 11.5

= 149.5 quarts

Your answer

Answer:

The box is worth 32.30$ ( approximately) in 2021

Step-by-step explanation:

THE UNIT IS DOLLAR ($).

Step-by-step explanation:

BECAUSE IT IS GIVEN IN TOTAL COST

Answer:

Use points (0,-7) and (1,-5)

please see below if you would like a graph.

Step-by-step explanation:

The equation is y=2x-7

we need two points.

The equation is in y=mx+b form, where m is the slope and b is the y intercept

In that case we already know a point, since -7 is in the place of b. The y intercept as a point is (0,b). Therefore, our first point is (0,-7)

We also know the slope of the line, which is 2. The formula for slope is rise/run That means that the next point would be to go right one, and up 2, (both indicate a positive direction), or to the left one, and down 2(both indicate a negative direction.) Let's use the positive way.

going to the right 1=+1 on x. (1, y)

Going up 2=+2=-7+2=-5

Point is (1,-5)

use points (0,-7), and (1,-5)

please see below for a graph to compare.

hope this helps!

Answer:

[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]

Step-by-step explanation:

1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:

[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].

2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:

[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]

*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.

3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:

[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]

4. The final retail price will be the initial price + the mark-up:

[tex]280+280(0.75)=\fbox{$\$490$}[/tex].

Answer:

Id say 60 since its gonna have to be lower than 90. A I did no math but that seems to be here the answer

Step-by-step explanation:

the answer to your question is A. 60

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

Answer:

C. an= -3+ (n - 115)

Step-by-step explanation:

hope it help

Answer:

What

Step-by-step explanation:

Answer:

SAS postulate

Step-by-step explanation:

Answer:

x = 4, y = 3

Step-by-step explanation:

Answer:y=2/3x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

go on the y-axis and go up to two and then go to the x-axis and start at zero and go to the left two and up three.

Answer:

9 No explanation needed

Answer:

35 + 21 = 7(5 + 3)

Step-by-step explanation:

In this question, we have to write an equivalent expression to the one on the left, while using the distributive property.

Our equation is: 35 + 21 = 7(_ + _), we have to find the missing values.

In the equation, we can see that  7 is divisible to 35 and 21, which means we can simply divide in order to get our missing numbers.

Divide:

35/7 = 5

21/7 = 3

When we plug those values into our equation, it would be:

35 + 21 = 7(5 + 3)

When you use distributive property by distributing the 7 to the number inside the parenthesis, you would get this:

35 + 21 = 35 + 21

When you simplify, you would get the same answer.

56 = 56.

Therefore, your answer would be 35 + 21 = 7(5 + 3)

Answer:35 + 21 = 7(5 + 3) is the answer.

Have a great day!

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

Given that :

Saturn chocolate bars are either packed in 5's or 12's

The smallest number of boxes required to pack 2005 bars ;

In other to arrive at smallest number of boxes, then we need to pack primarily in 12's

Number of boxes required for 12 packing :

2005 /12 = 167.08333 boxes (167, remainder 1)

Hence, smallest number of boxes to pack 2005 saturn chocolate bars is 167

Answer:

-6.3n + 8.6

Step-by-step explanation:

you add the terms together

Answer: -6.3n + 8.6

Step-by-step explanation:

Answer:  a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive

Step-by-step explanation:  It is also possible to rearrange the factors.

(3)(4) = 12  a positive number.

(-3)(-2) = 6, a positive number. Again "a negative times a negative is a positive"  --Jaime Escalante, Stand and Deliver

Now you have two positive numbers: 12×6 = 72

The product is positive either way.

Answer:

the expression to find the shaded region : 14x+21

Step-by-step explanation:

(x+5)² - (x-2)² solve by distribution

7(2x+3)

14x+21

Answer:

14x+21

Step-by-step explanation:

(x+5)² - (x-2)²

7(2x+3)

14x+21

Answer:

10 6/10

Step-by-step explanation:

since the 6 is in the tenths place we know the denomiter is going to be 10. The 10 infront of the 6 is a whole number