Question 9 (5 points)
(03.04 LC)
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number? (5 points)

a
x − (x + 4) = 52

b
x + (x + 4) = 52

c
x(x + 4) = 52

d
x(x − 4) = 52

Question 10 (5 points)
(03.05 MC)
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? (5 points)

a
8 + 9n ≥ 80, so n ≥ 8

b
8 + 9n ≤ 80, so n ≤ 8

c
9n ≥ 80 + 8, so n ≥ 9.8

d
9n ≤ 80 + 8, so n ≤ 9.8

Question 11 (5 points)
(03.05 MC)
Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell? (5 points)

a
43 + 3n ≥ 70, so n ≥ 9

b
43 + 3n ≤ 70, so n ≤ 9

c
43 + 3n ≥ 70, so n ≥ 24

d
43 + 3n ≤ 70, so n ≤ 24

Question 12 (5 points)
(03.05 MC)
Chad wants to buy some books over the Internet. Each book costs $10.01 and has a shipping cost of $9.96 per order. If Chad wants to spend no more than $50 for his books, which inequality shows the maximum number of books, p, that he can buy? (5 points)

a
9.96p − 10.01p ≤ 50, so p ≤ 1

b
9.96p + 10.01p ≤ 50, so p ≤ 2

c
9.96 − 10.01p ≤ 50, so p ≤ 3

d
9.96 + 10.01p ≤ 50, so p ≤ 4

Answer:

40%

Step-by-step explanation:

2/5 = 40/100 = 40%

Answer:

  (b)  5.04 < 5.4

Step-by-step explanation:

The pointed end of the < symbol points to the smaller (lesser) number or expression. Here, the number 5.04 is less than 5.4, so the appropriate choice is ...

  5.04 < 5.4

Answer:

4 gallons

Step-by-step explanation:

Answer:

y = 3x + 1 is the answer

Hello there! :)

The slope of this line is 3.

There are lots of ways to calculate the slope.

Here's one of them:

Rise/Run

Here, the rise is 3 (we move up 3 units)

And the run is 1 (we move 1 unit to the right)

3/1=3

So the slope is 3.

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 1.

So the equation is

y=3x+1

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest!

[tex]MysteriousNature :)[/tex]

Answer:

the slope is -2/5

Step-by-step explanation:

Solve for y.

2x + 5y + 1 = 0

5y = -2x - 1

y = -2/5 x - 1/5

Compare to

y = mx + b, where m is the slope.

m = -2/5

Answer: the slope is -2/5

Step-by-step explanation:

The coordinates of the rotated triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ABC

Now , the coordinates of the triangle ABC is

The coordinate of A = A ( 1 , 1 )

The coordinate of B = B ( 3 , 2 )

The coordinate of C = C ( 2 , -2 )

Now , on rotating the triangle ABC by 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

Substituting the values in the equation , we get

The rotated triangle will have the coordinates A'B'C'

The coordinate of A' = A' ( -1 , -1 )

The coordinate of B' = B' ( -3 , -2 )

The coordinate of C' = C' ( -2 , 2 )

Hence , the coordinates of the triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

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Answer:

Below

Step-by-step explanation:

The following are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F.    F is equidistant from the three sides of the triangle.

The following statements are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F. F is equidistant from the three sides of the triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ. It has three connected vertices.

The circumcenter of a triangle is measured from the point at which the perpendicular bisectors of its sides cross.

The incenter of a triangle is the point at which the triangle's three internal angle bisectors meet.

Thus, the following statements are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F. F is equidistant from the three sides of the triangle.

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Step-by-step explanation:

it is an isoceles triangle (equally long legs).

there is a right angle at W, so YW is the height of the isoceles triangle XYZ.

that means W splits XZ in half.

therefore,

ZW = XZ/2 = 38/2 = 19

Answer:

10 months

Step-by-step explanation:

Answer:

6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7

Answer:

x = 6

Step-by-step explanation:

This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.

Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

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Answer:

17.5

Step-by-step explanation:

i did the math and also im never wrong swear on got thats the annswer

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~

( p , p + q )

( p + 4 , 3q + 6 )

( p + p + 4 ) ÷ 2 = - 2

p = - 4

( - 4 + q + 3q + 6 ) ÷ 2 = 5

2q = 4

q = 2

Answer:

6 four-packs.

Step-by-step explanation:

My reasoning for 6 four-packs is that, the shopper needs 24, right? And if that shopper buys 6 four-packs it'll be cheaper than the larger package. The 6 four-packs come to a cost of $20.04. But the 4 six-packs will come out as $21.12. The shopper will be able to save $1.08 :)

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

Answer:

2142.30435

Step-by-step explanation:

The answer is 2142 and leaves remainder

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

Would appreciate a brainly <3

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

Answer:

B, C, and D.

Step-by-step explanation:

a)

d + 2 = 7

d = 5

b)

10 - d = 6

-d = -4

d = 4

c)

20 / d = 5

20 = 5d

4 = d

d)

4d = 16

d = 4

Hopefully this helps!

Brainliest please?

Answer:

3

divide

6

Step-by-step explanation:

Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.

So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.

Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.

This is the final answer, x>6, x is greater than 6.

3x + 2 = 2x + 7

Subtract 2 from both sides:

3x = 2x +5

Subtract 2x from both sides:

x = 5

Answer: x = 5

Answer:

14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10    14 + 10 = 4

Answer:

10 percent of 51 is 5.1

Answer:

51=10

510=100

Step-by-step explanation:

51=10/100

x10

510

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

The value of each expression is given below,

B(6)=85

B(2.75)=52.5

B(1.482)=39.82

Value of x for each expression,

B(x)=93; x=6.8

B(x)=42.1; x=1.7

B(x)=116.25; x=9.125

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is B(x)=10x+25.

The value of each expression will b calculated as,

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

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Answer:

Y=x+8

Step-by-step explanation:

Answer:

I think it is probably -12

Step-by-step explanation:

Step-by-step explanation:

y=-7/5x-1/5

=-7×5/5x-1

=-35/5x-1

Answer:

16

Step-by-step explanation:

y = 7

4(7)-12

28-12 = 16

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]