. Austin wants to buy some pens and pencils. He has $30 in his bag. Each pen costs $5 and each pencil costs $1.50. He needs 5 more pencils than pens.Part A how many pencils can $ustin buy at most" Write your answer and your work or explanation in the space below. Part If Austin had $40 in his bag, how many pens could Austin buy at most" Explain how you found the answer in the space below.

Answers

Answer 1

Answer:

3 pens

Step-by-step explanation:

Total expenditure (Price x Quantity) on pens & pencils = $30

Let pen quantity be = x , Let pencil quantity be = y

Given : Pen (x) price = 5 , Pencil (y) price = 1.5 , Pencils (y) = Pen (x) + 5

So, 5x + 1.5y = 30

5x + 1.5 (x + 5) = 30  → 5x + 1.5x + 7.5 = 30  → 6.5x + 7.5 = 30

6.5x = 30 - 7.5  → 6.5x = 22.5

x = 22.5 / 6.5 → x = 3.46  ≈ 3 pens


Related Questions

HELPPPPPPPPP MEEEEE STARVINGGGGG

Actually help me with the screenshot though LOL

Answers

Answer: i think A, but might not be sry

Step-by-step explanation:

PLZ HELP I NEED THE ANSWER

Answers

Answer:

D I belive

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

5. Which of the following is a good strategy to solve this problem?
"Jane has saved $240 to spend on gifts this year. She is planning to spend $96.00 on gifts for her parents, $18.00 on gifts for each of her two brothers, and $44.00 on gifts for her grandmother. How much money will she have left after buying the gifts?"
A. draw a picture
B. make a list
C. write an equation
D. any of these would work

Answers

Answer:

C. or D.

Step-by-step explanation:

It depends on the person to be honest, however in this situation an equation is the best route.

Answer: C is the best as choice A is just plain out wrong.

Examine the figure below.
B
(4x-16)
6756
(5x+7)
с
A
D
Determine which of the following angle measures are correct. Select all that apply.
OmZBAC = 72°
O
m2BCD = 68°
Om ACB = 112°
m2ABC = 68°
mzBCD=108°

Answers

*see attachment for diagram

Answer:

✔️m<BAC = 72°

✔️m<BCD = 108°

Step-by-step explanation:

Given:

m<ABC = (4x - 16)°

m<ACB = (5x + 7)°

Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.

First we need to determine the value of x.

The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.

Therefore:

(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)

Solve for x

4x - 16 + 10x + 14 = 180

Add like terms

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

x = 13

Find the measure of each angle by plugging in the value of x where necessary:

✔️m<ABC = (4x - 16)° = 4(13) - 16

m<ABC = 36°

✔️m<ACB = (5x + 7)° = 5(13) + 7

m<ACB = 72°

✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)

Therefore,

m<BAC = 72°

✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)

m<BCD = 36 + 72 (Substitution)

m<BCD = 108°

Therefore, the angle measures that are correct are:

✔️m<BAC = 72°

✔️m<BCD = 108°

Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o

Answers

Answer:

x = -2

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

x = -2

Can someone help me out as soon as possible

Answers

The correct answer is b=6/1/4

i need help!! Please ASAP

Answers

Answer:

It would be Square root of 38, and square root of 44 because they are all between 5 and 10. I'm sure you don't need their exact values, but that's them.

If you have nay more questions let me know! :)

Please help me! I'm struggling!

Answers

Answer:

so one thing you can do is to put the standard form into slope-intercept form

so 6x+y= -4 into y=-6x -4

now, you put a point on (0,-4)

(x,y)

now the slope is -6/1 so you rise (go down) -6 points and run (sideways) 1

please help me with this question

Answers

Answer:

corresponding

Step-by-step explanation:

2 is not in the interior

The only numbers in the interior is 4, 11, 6, and 13

So crossing those two options we are left with corresponding

2x -14 = -9 answer for this equation

Answers

Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x= 2.5

Step-by-step explanation:

Simplifying

2x + -14 = -9

Reorder the terms:

-14 + 2x = -9

Solving

-14 + 2x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -9 + 14

2x = -9 + 14

Combine like terms: -9 + 14 = 5

2x = 5

Divide each side by '2'.

x = 2.5

Simplifying

x = 2.5

15 points!

Can someone help me find the range of this question please.

Answers

Answer:

80, 95, 110, 125, 140

Step-by-step explanation:

80, 95, 110, 125, 140

It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67

Answers

Answer:

25

Step-by-step explanation:

As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km

Answers

Answer:

104.607 Kilometers

Step-by-step explanation:

list all the factors of 8 from least to greatest for my brother

Answers

Answer:

1,2,4,8

Step-by-step explanation:

8/1=8

8/2=4

8/4=2

2 and 4

Factors are the numbers that can be multiplied together to equal 8, not including the number and/or 1. In this case, the only numbers are 2 and 4, because 2x4=8

6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!

Answers

Answer:

The answer to #6 is 255

The answer to #7 is the mint milkshake is thicker

The answer to #8 is A is 12 and B is 18

The answer to #9 is A is 33 and B is 15

Missing values:

1. 1:7 , 3:21, 18:126

2. 20:12 , 10/3:2 , 8 1/3:5

3. 42:21 , 6:3 , 48:24

4. 4:10 , 8:20 , 16:40

5. 36:32  18:16

Step-by-step explanation:

#2: The first ratio is shown, which is 5:3.  Meaning, that the bottom number (cakes) is multiplied by 5/3 in order to get the top number (pies).   We can apply that to the ratio with 12 cakes, 12 multiplied by 5/3 is 20.  The next ratio involved 10/3 pies.  Since that is the "top" number (see chart), 10/3 need to be multiplied by 3/5 instead of 5/3.  By doing that, the number of cakes is 2.  

#7: The ratio of milk to ice cream in the mint milkshake is 1.25:4

The ratio of milk to ice cream in the strawberry milkshake is 1.75:5

When the ratios are divided, the quotient for the mint milkshake (0.3125) is LESS than the quotient for the strawberry milkshake (0.35).  This means that there is less milk and more ice cream (ratio-wise) in the mint one.

Number 1 : adults to children 2:14 , 1:7, 3:21, 18:126
Number 2 :

Which one of the following is a ratio that is equivalent to 3:5? *
6:12
O
9:15
O 10:16
O 30:60

Answers

the answer should be 9:15

Which of the following sentences could not be used to represent the equation x - 5 = -10? the real answer, please

Answers

Answer
X=-5

Explanation

Answer:

you didn't add options for the sentences, but

x-5 =-10 (add 5 to both sides to get x alone)

x= -5

so anything that has to do with x equaling - 5 would be correct

after reading through the sentences, the correct answer is:

a number subtracted from five is equal to negative ten

because that sentence is saying " 5 - n = - 10 " and that's not what's happening

Step-by-step explanation:

The graph of the equation y=x2+3x+5 is a function.

Question 2 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

this funcion is squared and you can draw it, so therefore it is a function.

0.8 as a percentage?

Answers

Answer:

0.8 = 80%

Details:

To write a number as a percetage, just multiply the decimal value by 100. In this case we have: 0.8 × 100 = 80% (answer).

➥ The ease way:

1) Shift the decimal point two places to the right:

0.8 → 8 → 80.

2) Add a percent sign: 80%

Answer: 80%

Answer:

8% sorry if I'm wrong but I'm pretty sure

On a sunny day, if a 36-inch yardstick casts a 21-inch shadow,
how tall is a building whose shadow is 168 ft?

Answers

It would be 288 ft.

Last year, Amy opened an investment account with $6800. At the end of the year, the amount in the account had increased by 23.5%. How much is this increase in dollars? How much money was in her account at the end of last year?

Answers

Answer:

-The increase in dollars is $1598

-The amount in her account at the end of last year was $8398.

Step-by-step explanation:

To find the increase, you have to multiply the initial amount for the percentage increase:

6800*23.5%=1598

Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:

6800+1598=8398

According to this, the amount in her account at the end of last year was $8398.

Hi whats
u = x - k solve for x

Answers

Answer:

x=u+k

Step-by-step explanation:

Answer:

x = k+u

Step-by-step explanation:

u = x - k

+k       +k

u + k = x

Hope this helps!

Please help me I will MARK BRAINLIEST PLEASE DON'T IGNORE

Answers

Answer:

.......................................

Step-by-step explanation:

can someone please help with this?!

Answers

18) If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

19) Given

20) A midpoint splits a segment into two congruent parts. (I assume it's supposed to say [tex]\overline{VX} \cong \overline{XY}[/tex])

21) Vertical angles are congruent.

22) ASA

23) CPCTC

The distances traveled by car A car Afx x hours. are. represented by the graph and table below.

Answers

Answer: b

Step-by-step explanation:

The speed of car B is twice the speed of car A.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

For car A,

Time= 5 hours

Distance = 200 miles.

speed= 200/5

speed= 40 mph

and, In car B

Time= 6 hours

Distance= 480 miles

speed= 480/6

speed= 80 mph

Hence, the speed of car B is twice the speed of car A.

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ6

SmolHumanAngel here y go

Answers

Answer:

E.24/7 tan(74) = opposite/advanced The length of the side opposite to the 74 degree angle is 24 units*The length of the side adjacent to the 74 degree angle is 7 units*If you substitute the value into the formula to obtain: tan(74) = 24/7 The correct answer is option E

Nine less than the product of 21 and a number

Answers

Answer:

21x - 9

Step-by-step explanation:

math

The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?

Answers

Answer:

yes

Step-by-step explanation:

yes

What is the answer to: 5/2 - 4/3

Answers

Answer:

7/6

Step-by-step explanation:

5/2-4/3

=(5*3-4*2)/2*3

=(15-8)/6

=7/6

Write the following in point-slope form.

Answers

Answer:

[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]

Step-by-step explanation:

An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.

For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.

We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.  

[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]

Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].

Hope this helped!

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