. 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

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Note: 1 pound is about 0.45 kilograms.

Answers

Answer:

The baby weighs less then the watermelon.

Step-by-step explanation:

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon.

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon. the baby weighs less than the watermelon.

Can I actually get help and not people saying random stuff just for points????

Answers

Do you still need it?

A triangle has side lengths of 13, 15 and 25. Find the measure of the angle to the nearest whole degree that is across from the longest side. So find < L ?

Answers

Answer:

Answer in photo

Step-by-step explanation:

So far, Charlie has driven 9.3 miles. He needs to drive a total of 29 miles. How many more miles must Charlie drive?

Answers

29-9.3= 19.7 miles left to drive.

hi ok pls help me 78/90 divided by - 68/190

Answers

Answer:

-0.00006707946

Step-by-step explanation:

I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night

please help meeeeeeeeeeeee

Answers

Answer:

x=75

Step-by-step explanation:

The total degrees of a pentagon is 540

120+120+2(75)+75+75

120+120=240

2(75)=150

75+75=150

240+150+150=540

30% of $40 is blank money

Answers

Answer:

12

Step-by-step explanation:

30% is 0.3,  40 x 0.3 . is 12 :DD

Write an equation for the line that passes through
(2,7) and (-1,-8)

Answers

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

literally putting this at 45 points. can someone help me please

Answers

Answer:

15.4%

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Container A

r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ft

Container B

r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²

After pump out the container A has the level of:

1100π - 931π = 169π

Level % in the container A:

169π/1100π×100% = 15.4% rounded to the nearest tenth

PLEASEEEE ANSWERRRR!!!!

The graph shows the height, y, of a diver x seconds after she jumps from a 25 meter diving platform. At what approximate value of x seconds is the diver's maximum height reached?

HAVE A GOOD DAYYY!!!

Answers

Answer: x=1

Step-by-step explanation: I verified it , it’s correct

The diver's greatest height is attained at 1 second.

What is a projectile motion?

Projectile motion is the type of motion an object experiences when it is launched into the air and accelerates due to gravity. The item is the projectile, and the projectile's trajectory is its course.

Provided that the height of a diver, y, is shown on the graph x seconds after she falls off a 25-meter diving platform.

According to the provided graph, the diver's maximum height is 30 meters, and he will reach it in 1 second.

To know more about projectile motion follow

https://brainly.com/question/29280364

#SPJ6

-2√ 20 + 3√ -18

I need help with the steps pls

Answers

Answer:

−4√5+9i√2

Step-by-step explanation:

You will get that when you simplify each term

Yesterday Cindy did of her homework. Today she did
another of her homework. How much of her homework
did she finish?

Answers

yesterday and another of her homework?

can somebody check my answer please
I think the answer is 56 but I want to be sure :)

Answers

Answer:

yup its right

Step-by-step explanation:

7uhkt8kfd

Answer: its correct have a good day

Step-by-step explanation:

hello can you answer these?

Answers

Answer:

The first one is C

Step-by-step explanation:

The ramp is equal to 180

180-6 = 174

please help
cube root of 31125​

Answers

Answer:

31.5 (rounded)

Step-by-step explanation:

Answer:

5 ∛249

≈ 31.45597 (In decimal form)

Step-by-step explanation:

(-3, 1), (-17, 2) find the slope show the work

Answers

Answer:

1/-14 or -0.071428571428571

Step-by-step explanation

(-3,1) ___ -3 is x1 while 1 is y1

(-17, 2) ___ -17 is x2 while 2 is y2

slope formula is m = y2-y1/x2-x1

plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571

A number is 3 more than 2nd number, the sum of the two numbers is 17. Find the
numbers.

Answers

your numbers are 7 and 10

the radius of a well is 1.4m and its depth 35 m is half-filled with water. find the volume of water inside the drum.

Detailed and explanatory answer, to get marked brainly (should be correct too)

Answers

Answer:

≈ 108 m³

Step-by-step explanation:

You're searching for the volume of a cylinder. The formula needed to find it is V=πr²h.

In this case, the radius r is 1.4m and the height h is 35/2=17.5m, as it is only half filled.

Now when inserting values, you get: V=π*1.4²*17.5 which is 107.757 m³

9514 1404 393

Answer:

  34.3π ≈107.8 m³

Step-by-step explanation:

There is no drum, only a well with water 35/2 = 17.5 m deep. The volume of water in the well is given by the formula for the volume of a cylinder:

  V = πr²h

  V = π(1.4 m)²(17.5 m) = 34.3π m³ ≈ 107.8 m³

_____

Additional comment

If you use 3.14 for π, the volume rounded to tenths is 107.7 m³. For an answer correct to 4 significant digits, I prefer a value of pi with more than 3 significant digits.

Find the diagonal of the box using the Pythagorean Theorem.

Answers

Answer:640^2

Step-by-step explanation:

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared. You might recognize this theorem in the form of the Pythagorean equation: a 2 + b 2 = c 2.

8cm^2+24cm^2=640^2

Solve the inequality.. 8a + 2(1- 5a) ≤ 20 Please helpp
and thank you!

Answers

Answer:

brainleist

Step-by-step explanation:

Answer:

8a+2(1−5a)≤20. 8a+2−10a≤20. 8a−10a+2−2≤20−2. −2a≤18. −2a÷−2≥18÷−2. a≥−9.

Step-by-step explanation:

How do I find the surface area?

A. Find the perimeter of all 6 sides and add it together.
B. Find the area of all 6 sides and add it together.
C. Find the length of each side and add it together.

Answers

Answer:

B.Find the area of all 6 sides and add it together

Step-by-step explanation:

The answer is B.Find the area of all 6 sides and add it together

Surface area is the sum of the areas of all faces

Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?

Answers

Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

What’s the probability?

Answers

Answer:

sorry I don't know

Step-by-step explanation:

OK

OK jsjzjxjxndzkxk

s

PLZ MARK ME AD BRAINLIST

blank ÷ 3/7= 7/15. ​

Answers

Answer:

1 4/45

Step-by-step explanation:

Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make 8 cakes?

Answers

1. 1/3 cups..... ok vthen have a good day

Which expression is equivalent to 4^-2 x 7^-2

Answers

Answer:

197/49-2x

Step-by-step explanation:

What’s the slope of the perpendicular line that passes through (-1, 12) and (-6, 18).

Answers

Answer:

[tex]m=-\frac{6}{5}[/tex]

Step-by-step explanation:

A baseball is thrown in parabolic arc its position above the ground at a given point in time can be represented by a quadratic function p(t)= 1/2gt^2 + v0t +p0 where t > 0, g is -32ft/sec/sec, V0 is additionally velocity and P0 SH initial position above the ground. If the ball is thrown straight up 16ft/sec when it was 5ft above the ground how high did it go

Answers

Answer:

13 ft.

Step-by-step explanation:

Since  p(t)= 1/2gt² + v₀t +p₀ and it us given that v₀ = 16 ft/s, p₀ = 5 ft and g = -32 ft/s².

Since the ball is thrown straight up, it does not follow a parabolic path.

So, If the ball is thrown straight up 16ft/sec when it was 5ft above the ground, then its height above the ground h(t) = v₀t +p₀. Substituting v₀ = 16 ft/s, p₀ = 5 ft , we have

h(t) = v₀t +p₀

Using v = v₀ + at, we calculate the time it takes to reach maximum height. At maximum height, v = 0, so,

v = v₀ + at

v - v₀ = at  

t = (v - v₀)/a where  a = g

So, t = (0 - 16 ft/s)/-32 ft/s²

=  - 16 ft/s/-32 ft/s²

= 1/2 s

= 0.5 s

Substituting t = 0.5 s, v₀ = 16 ft/s and p₀ = 5 ft into h(t), we have

h(t) = v₀t +p₀

h(t) = 16 ft/s × 0.5 s + 5 ft

h(t) = 8 ft + 5 ft

h(t )= 13 ft

The ball will go 13 ft above the ground.

If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number
This is a proof question. Please show step by step.

Answers

Step-by-step explanation:

ab

= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)

= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²

= 2¹⁷⁴ * 5¹⁷¹

= 2³ * (2¹⁷¹ * 5¹⁷¹).

The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.

And there is a 8 infront as 2³ = 8.

Hence altogether there are 171 + 1 = 172 digits.

find x intercept if y=-5x+60

Answers

Answer:

-12 bla bla bla bla bla bla bla

-12 I’m pretty sure it’s the right answer
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