Under his cell phone plan, Christopher pays a flat cost of $52 per month and $5 per
gigabyte. He wants to keep his bill at $75 per month. Which tape diagram could be
used to represent the context if x represents the number of gigabytes of data
Christopher can use while staying within his budget?

Under His Cell Phone Plan, Christopher Pays A Flat Cost Of $52 Per Month And $5 Pergigabyte. He Wants

Answers

Answer 1
52 + 5x= 75. The answer is c
Answer 2

According to the given information, the tape diagram shown in option C is correct.

Use the concept of inequality defined as:

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

Given that,

The cost per month = $52

The cost per gigabyte = $5

He wants to keep his bill at $75 per month.

According to the given information the inequality expression be:

52 + 5x ≤ 75

Since now let x = 3

The LHS be:

52 + 15  = 67 < 75

Therefore,

The correct combination be:

52 + 5 + 5 + 5 < 75

Hence,

The tape diagram shown in option C is correct.

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Related Questions

a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equals 972 cubic inches, what does x equal will give 100 points and brainly

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

a box has a length of 6x inches

l=6x

the width equals one third the length

w=[tex]\sf{\dfrac{1}{3}×6x }[/tex]

w=2x

the height equals half the length.

h=[tex]\sf{\dfrac{1}{2}×6x }[/tex]

h=3x

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

l×w×h=volume

6x × 3x × 2x=972

36x^3=972 cubic unit

x=972/36

x=27

Therefore:-

The value of x is 27.

Given that,

a box has a length of 6x inches

so,

l=6x

But,the width equals one third the length

[tex]w=\dfrac{1}{3}×6x[/tex]

w=2x

again,the height equals half the length.

[tex]h=\dfrac{1}{2}×6x[/tex]

h=3x

we knows:-

Volume of a rectangle box=b×h

From the question,

if the volume equals 972 cubic inches,

l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27

Final answer

.°.The value of x is 27.

Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15

Answers

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

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Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?​

Answers

2 x 0.75 x 25 = 37.5 cm
2 x 75 x 2.5 = 375

375/37.5 = 10
10 paquetes

can someone help me understand this.​

Answers

Answer:

easy-peasy

Step-by-step explanation:

Perimeter:

P=2(a+b)

P=2(50+70)

P=2(120

P=240

Area:

A=50*70

A=3,500

I really hope it helped:)

Answer:

Step-by-step explanation:

Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is

C = πd and

C = (3.1415)(50) so

C = 157.075

Now we add in the 2 straight edges of the field to get the perimeter:

P = 120 + 120 + 157.075 and

P = 397.075 m

The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.

The area of the rectangle is length times width: A = 120(50) so A = 6000

The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.

Add these 2 areas together to get the area of the whole field:

6000 + 1963.495 = 7963.495 meters squared

PLZ CAN SOMEONE ANSWER THIS !!

Solve the following system of equations

5x + 2y = -16
3x + 7y = 2

**please show work if you can**

thank you in advance :)

Answers

Answer:

(-4,2)

Step-by-step explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48   <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29      -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

   -14     -14

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

3x = -12

3        3

x = -4

Therefore our final answer is (-4,2)

rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)

Answers

Answer:

10

Step-by-step explanation:

not sure please verify

Pythagorean Theron can someone help me with this

Answers

Answer:

Step-by-step explanation: This means the hypothenuse and the Adjacent are equal  b= x thus the double lines indicates and they are opposite to 6

2a^2=6^2
a^2=18
a= +/- 3 root 2

It would be plus 3 root 2, since you can’t have a negative length. Also, the two dash lines means the lengths are equal, which is why I wrote it as 2a^2 instead of a^2+b^2=c^2(where a and b are equal).

peter paid $45 for 3 pizzas; victor paid 135 for 8 pizzas and george paid 32 for 2 pizzas. whose pizza cost more

Answers

Answer:

The answer is victor

peter paid : 15 for 1 pizza

victor paid : 16.875

George paid : 16

Hope it helps

Answer:

Victors pizza

Step-by-step explanation:

Peter paid 45 for 3 pizzas if we divide that it gives us 15 for each pizza

George paid 32 for 2 pizzas which if we divide it 16 for each pizza

Finally for Victor we just divide 135 by 8 and that gives us 16.875 for each pizza.

If we compare those values the highest is for sure Victors at 16.875 or 16.88 per pizza.

Hope this helps

:)

if there are 90 calories in 3/4 cup of yogurt, how many calories are in 3 cups of yogurt? ​

Answers

Answer:

360 calories: 90/(3/4)=120

Step-by-step explanation:

I think sorry if im wrong

180 it is 180 calories

6. What is the area of APQRbelow?
a) 15.8 m
b) 31.2m
c) 66.4m
d) 16.6m

Answers

Answer:

its letter c

Step-by-step explanation:

I hope this help

5x + 4 < X-5, when X belongs to Z​

Answers

Answer:

Step-by-step explanation:

5x+4<x-5

5x-x<-5-4

4x<-9

x<-9/4

x=(-∞,...,-4,-3]

Answer:

Step-by-step explanation:

5X + 4 < X - 5

5x - x < -5-4

4x<-1

4x/4 > -1/4

x>-1/4

Find the surface area of the composite figure. Round to the nearest square centimeter

Answers

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

asap please help! and explain how you got the answer!

Answers

55

To start to solve this problem we start by observing what information there is. We need y, to find y we have to know x. We need x to find y because all the angles in a triangle add up to 180. If we find x we can subtract the angles we know and get y. To find x we look and see that it is on a straight line, and on the other side of the line is 100. We know that a straight line is 180 degrees so we subtract 100 from 180 to get x. We now know x is 80, so now we minus 89 and 45 from 180. We get 55. This means that y is 55.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

may i have some help with 9? thanks :)

Answers

#9. C

A negative sign on the outside of the function indicates a reflection in the y-axis.

A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.

Hope this helps!

Find x and explain how you found it

Answers

Answer:

42 degrees

Step-by-step explanation:

Since m and n are parallel, that is a transversal

So 24=(x-18) because of exterior angle property

so x - 18 = 24

We bring - 18 to the other side so it becomes + 18

x = 24 + 18

x = 42

find the volume of the prism

Answers

Answer:

840 cm^3

Step-by-step explanation:

Volume = 8x6 (15-5) + 5 x 12 x 6

= 48 x 10  + 60 x 6

= 480 + 360

= 840

Answered by Gauthmath

On a coordinate plane, a triangle has points A (negative 2, negative 2), B (1, negative 5), and C (negative 5, negative 5).
If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?

Answers

Answer:

The answer is number 2. hope that helps

Answer:

(3,-12)

Step-by-step explanation:

the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically)  will cause B to translate to coordinates (3, -12)

Least common factor how to do in 121,99​

Answers

Answer:

Step-by-step explanation:

Prime factorize 121 and 99

121 = 11 * 11

99 = 11 * 3 * 3

Common factor = 11

Least common factor is 11

For problems 1 - 4, write a two-column proof.

Answers

Answer:

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5+ <4 = 180°

Now substituting value of <5,

→ <6+ <4 = 180°

This shows property of co interior angle.

Therefore, L II m.

2) Solution

Take it as,

→ <1= 90°

In above eq. L is perpendicular to t.

→ <2 = 90°

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L II m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST II UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180°

It shows property of co interior angle.

Therefore, PS II QR.

The functions f and g are defined as follows. ​

Answers

Answer:

f(4) = -14

g(-2) = 22

Step-by-step explanation:

f(x) = -4x+2

Let x = 4

f(4) = -4*4 +2

    = -16+2

   = -14

g(x) = -3x^3 -2

Let x = -2

g(-2)= -3(-2)^3-2

         = -3(-8)-2

        = 24-2

     =22

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Here,

f(x)=-4x+2

we have to find the value of f(4)

[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]

g(x)=[tex]{-3x^3-2 }[/tex]

we have to find the value of g(-2)

[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex]

More information:-

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]

B
A
8 cm
4cm
Two solid shapes, A and B, are mathematically similar.
The base of shape A is a circle with radius 4 cm
The base of shape B is a circle with radius 8 cm.
The surface area of shape A is 80 cm”,
(a)
Work out the surface area of shape B.

Answers

Answer:

(a) 320 cm²

(b) 75 cm³

Step-by-step explanation:

The scale factor from A to B is 8/4 = 2.

The scale factor of the areas is 2² = 4.

The scale factor of the volumes is 2³ = 8.

(a)

80 cm² * 4 = 320 cm²

(b)

600 cm / 8 = 75 cm³

The required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
               

           

Given that,
The base of shape A is a circle with a radius of 4 cm
The base of shape B is a circle with a radius of 8 cm.

What is surface area?

Surface area is defined as the area of the surface that is uncovered.

Here,
1)
The scale factor of area = 8²/4² = 4
The surface area of shape B = 4 surface area of shape A.
The surface area of shape B = 4 * 80
                                                = 320 cm²

2)
The scale factor of volume = 8³ / 4³ = 8
The volume of shape B = 8 *  the volume of shape A.
The volume of shape A = 600 / 8
The volume of shape A = 75 cm³

Thus, the required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
   

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the coefficient of x in -7xy is a. -7 b.xy c.7y d. -7xy​

Answers

Answer:

c. -7y

hope it is helpful

Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90degree about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?
quadrant I
quadrant II
above the x-axis
left of the y-axis

Answers

Answer:

D

Step-by-step explanation:

Got it from the person above me

f (x+2)=4x+3, find f(x) and f (2)

Answers

.......19 is the answer need any explanation????

if y=40x Squared.. Find y when x=0​

Answers

Answer:

y = 0

Step-by-step explanation:

Substitute x = 0 into the equation

y = 40x² , then

y = 40 × 0² = 40 × 0 = 0

Find EH , given that line HF is the perpendicular bisector of EG

Answers

Answer:

EH = 5

Step-by-step explanation:

HF is the perpendicular bisector of EG , then

EH = HG = 5

14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.

Answers

It’s the restrictions if 2*5 is the answer you would have to simplify.

A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?

Answers

Answer:

10

Step-by-step explanation:

P(black bean soup) = cans of black bean / total = 6/12 =1/2

out of the next 20

20 *P(black bean)

20 * 1/2 = 10

The answer your lookin for is 10

Anybody know? Because I don’t

Answers

Answer:

B

Step-by-step explanation:

(4x^-2)^4

256x^-8

256 * 1/x^8

256/x^8

B is your answer because I just did this long ago well last week so yea B.

T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5

Answers

Answer:

[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]

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