Mathematics High School

EXPENSES: Camille has no more than $50.00 to spend each week for lunch and bus fare. Lunch costs $3.00 each day, and bus fare is $1.75 each ride. Write an inequality for this situation. Can Camille buy lunch 7 times and ride the bus 14 times in one​ week????

Answers

Answer 1

Answer:

Inequality: [tex]3.00 L + 1.75B \leq 50[/tex]

She can afford to buy the lunch and bus rides

Step-by-step explanation:

Given

[tex]Maximum\ Amount = \$50.00[/tex]

[tex]Lunch = \$3.00[/tex] daily

[tex]Bus\ Fare = \$1.75[/tex] daily

Solving (a) The inequality

Let bus ride be represented with B and Lunch be represented with L

If 1 bus ride costs $1.75, then

B bus ride would cost $1.75 * B

If 1 lunch costs $3.00, then

L lunch would cost $3.00 * L

Total Spending is then the sum of the above expression i.e.

$3.00 * L + $1.75 * B

The question says Camille can not spend more than $50.00.

This is represented by less than or equal to.

So, the expression is:

[tex]3.00 * L + 1.75 * B \leq 50[/tex]

[tex]3.00 L + 1.75B \leq 50[/tex]

Solving (b): Can she afford 7 lunch and 14 bus ride?

To do this, we simply substitute 7 for L and 14 for B

[tex]3.00 * 7 + 1.75 * 14 \leq 50[/tex]

[tex]21 + 24.5 \leq 50[/tex]

[tex]45.5 \leq 50[/tex]

The above inequality is true.

Hence, she can afford to buy the lunch and bus rides

Related Questions

An equilateral triangle with side length 1 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer:

1/2 cm

Step-by-step explanation:

the area of the triangle is √3/4cm^2.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, given that,

An equilateral triangle with side length 1 cm .

we know,

area of An equilateral triangle

=√3/4×side²

so, the area of the triangle = √3/4×1

                                            =√3/4 cm^2

hence,  the area of the triangle is √3/4cm^2.

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quick question how many times does 120 go into 400

Answers

Answer:

Step-by-step explanation:

3

55% of what number is 77?

Answers

Answer:

42.35

Step-by-step explanation:

hope it helps po.

Answer:

The number is 140

Step-by-step explanation:

Let n be the unknown number

of means multiply, is means equals

55% * n = 77

Change to decimal form

.55n = 77

Divide by .55

.55n/.55 = 77/.55

n =140

The number is 140

Please help!

Convert the standard linear equation to slope intercept form and graph

Thank youn

Answers

Slope intercept y=mx + b, add y to both sides in your equation. Y=4x, slope intercept. Graphing should be easy, just plug in x intercepts

PLEASE HELP what type of angles are 4 and 5 ? linear pair
corresponding angles
alternate exterior angles
same side interior angles
vertical angles
alternate interior angles

Answers

same side interior angles

How did you find your awnser ?

Answers

Answer:

i just did (and it's answer, btw)

Step-by-step explanation:

uhh yep lol

what is the product of 7/11 and 3/7

Answers

Answer:

3/11

Step-by-step explanation:

when you multiply 2 fractions you multiply the numerators and the denominators

(7/11 )*(3/7) = 7*3/11*7 now 7 can simplify so we have 3/11

Answer.

together is 0.27272727272  

Step-by-step explanation:

hope it helps if not let me know comment

As an estimation we are told 5 miles is 8 km.
Convert 2.5 miles to km.

Answers

Answer:

[tex]4km[/tex]

Step-by-step explanation:

In order to find the answer to this question you must simply divide.

[tex]5m=8km[/tex]

[tex]2.5m=4km[/tex]

[tex]8\div2=4[/tex]

[tex]5=2.5+2.5[/tex]

[tex]=4km[/tex]

Hope this helps

An item is regularly priced at 67$ . It is now priced at a discount of 35% off the regular price.
HELP !!

Answers

Answer:

The new price is $43.55.

Step-by-step explanation:

$67 * .35 = $23.45; this is your discount amount.

To find the new price.

$67(original price) - $23.45(35% discount) = $43.55

Answer:

A product that normally costs $67 with a 35 percent discount will cost you $43.55, and you saved $23.45.

Step-by-step explanation:

credit to:

researchmaniacs.com

What is 8 hundredths?

Answers

Answer:

Step-by-step explanation:

Well 8 hundredths is also know as 0.08 if we put in in the decimal form.

I hope this helps :D

Answer:

to divide something into one hundred equal parts, 8 hundreths is 8 of those parts that you just divided up

Step-by-step explanation:

Please help middle school math​

Answers

Answer:

Greater than 7 cm.

Step-by-step explanation:

Answer:greater than 7 cm

Step-by-step explanation:

Emily simplified this expression.



Expression: (5−2)2+23×4

Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45



Emily made a mistake. Which step shows her first mistake?

Answers

In number 2............

Please help im so confused rn :((

Answers

Answer:

1.8

Step-by-step explanation:

answer should be 15/104

explanation:
15/4 x 1/2 x 1/13 = 15/104
you just split up the fractions and multiply because you switch the signs.

i need an answer to this "How many tickles does it take to make an octopus laugh

Answers

Answer:

it takes ten tickles for an octopus to laugh

What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?

Answers

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, negative 8, negative 2, 4, 10. Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table. y = x +

Answers

Answer:

The correct answer is y = 3x + 1.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

Answer:

y=3x + 1

Step-by-step explanation:

I got it right on the assignment and plus im smart

I need this ASAP, I’ll give brainliest if correct.

Answers

Answer:

b

Step-by-step explanation:

other person answered, just need some points

QUESTION 9 of 10: You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your percentage of gain.

Answers

Answer:

Step-by-step explanation:

Multiply 100*$15 to find the loss. (1500)

Multiply 100*$21.75 to find what was made. (2175)

Subtract 2175-1500

Total=$675

Answer:

The percentage gain is 45 Percent.

Step-by-step explanation:

If matrix A is a 3x4 and matrix B is a 5x3, what are the dimensions of BA?​

Answers

Answer:

I don't know if this is right but 27

Step-by-step explanation:

Because 3 x 4 = 12 so that's A, and 5 x 3 = 15 so that's B. Add them together and get 27 for BA

Find the equation that represnts the graph.​

Answers

Slope: rise/run
3/3 = 1
(0, 3) so y intercept is 3
Final equation: y = x + 3

Answer:y=x+3

Step-by-step explanation:

What is 12 = 1 + a/1 -a?

Answers

Answer:

There is no solution

Step-by-step explanation:

There are no values of (a) that make the equation true.

Answer:

a = 11/13

Step-by-step explanation:

Multiply both sides by 1 - a

12(1 - a) = 1 + a

= 12 - 12a = 1 + a

Subtract 12 from both sides

= -12a = -11 + a

Subtract a from both side

-13a = -11

Divide by -13 each side

-13a/13 = -11/-13

= a = 11/13

Find the percent change:

$350 to $400

Answers

Answer:

14.29% increase

Hope this helps!

Step-by-step explanation:

The formula for this would be:

New value - Old value

Then divide the answer by the old value

Finally multiply it by 100

So it should be $400 - $350 which is $50

Then $50 ÷ $400 which is 0.125

Finally do 0.125 × 100 which is 12.5

So there has been a 12.5% increase

Hope this helps and/or makes sense!

1. Vertical angles are complementary

2. Vertical angles are adjacent

3. The complement of an acute angle is an acute angle

4. The supplement of an obtuse angle is an obtuse angle

Answer the following questions with Always, sometimes, or never

Answers

Answer:

1. Sometimes, 2. Never, 3. Always, 4. Never

Step-by-step explanation:

1. Vertical angles are complementary

Sometimes (if measure45°)

2. Vertical angles are adjacent

Never

3. The complement of an acute angle is an acute angle

Always. Both of them < 90°

4. The supplement of an obtuse angle is an obtuse angle

Never. Obtuse angle > 90°, supplement is (180° - obtuse), which is <90° so is acute

45. A population of llamas is growing at a constant yearly rate of 6%. At what rate is the llama population
growing per month? Please assume all months are equally sized and that there are 12 of these per year.
Round to the nearest tenth of a percent.

Answers

Answer:

0.1%

Step-by-step explanation:

6% = 6/100 or 0.06

0.06 divided by 12 is 0.005

0.005 or 5/100 = 0.05%

rounded to the nearest tenth is 0.1%

A company rents out 11 food booths and 22 game booths at the county fair. The fee for a food booth is $125 plus $6 per day. The fee for a game booth is $80 plus $10 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

$3135 + $286d

Step-by-step explanation:

Given that:

Food booth = 11

Game booth = 22

Let number of days = d

Food booth rent = ($125 + 6d) * 11

Game booth rent = ($80 + 10d) * 22

Food booth = $1375 + $66d

Game booth = $1760 + $220d

Amount company is paid :

Food booth rent + game booth rent

($1375 + $66d) + ($1760 + $220d)

$(1375 + 1760) + $(66d + 220d)

$3135 + $286d

Identify the matrix transformation of ΔRST, which has coordinates R(−1, 1),S(2, −2), and T(−3, 3), for 90° rotation, clockwise. Then identify the correct vertices of the image.

Answers

Answer:

( 0     1  ) ( -1   2   -3)      (1   -2    3)

                                =                      R' (1, 1), S' (-2, -2), T' (3, 3)

( -1     0 ) ( 1   -2    3)      (1   -2    3)

Step-by-step explanation:

Write the x - coordinates of RST in row 1 and the y - coordinates in row 2 of the matrix.

(-1    2   -3)

(1    -2    3)

R     S     T

For a 90° rotation, clockwise, multiply the matrix by (0   1)

                                                                                      (-1   0)

Then you get your answer.

Solve the linear graph
y=3x+7

Answers

points to plot:

(0, 7) (1, 10) (2, 13) (4, 19)

For the given equation of the graph, the slope is 3 and the y-intercept is 7.

An algebraic equation known as a linear equation depicts a straight line on a graph. This equation has one as the greatest power of the variable or variables at play. In other words, no exponentiation or other mathematical action is performed on the variables in a linear equation.

The general equation of the straight line is,

y = mx + c

Here, m is the slope and c is the y-intercept.

Compare the given equation with the general equation of the line,

y = mx + c

y = 3x + 7

Therefore, the slope is 3 and the y-intercept is 7.

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Sydney read 50 pages in 40 minutes. She reads at a constant rate.
How many pages can Sydney read per minute?

Help me please!

Answers

1.25 pages per minute.

Answer: Sydney can read 1 ¼ or 1.25 pages per minute.

Your Welcome.

Slope = 2, y-intercept = -4​

Answers

what is your question?

Answer:

y = 2x - 4

Step-by-step explanation:

Pls give me Brainliest thank you <3

Write the equation for each transformation of f(x) = |x| described below

1. Translated right by 7 units, shrunk vertically by a factor of 0.5 and translated up by 6 units.

2. Stretched horizontally by a factor of 5, reflected over the x-axis, and translated down by 10 units

3. Translated right by 9 units and translated down by 7 units

Answers

I don’t understand...
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