Ralph and Jody go to the shop to buy potato chips and candy bars.

Ralph buys 3 bags of potato chips and 4 candy bars. He spends

Jody buys 4 bags of potato chips and 2 candy bars. She spends $3.00.

Later Clancy joins Ralph and Jody and asks to buy one bag of potato chips and one candy bar from

them. They need to work out how much he should pay.

Ralph writes

3p+ 4b = 375

1. If p stands for the cost, in cents, of a bag of potato chips and b stands for the cost, in cents, of a

candy bar, what does the 375 in Ralph's equation mean?

Answers

Answer 1

Answer:

375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars

Bag of potato = 45 cent

Candy = 60 cents

Step-by-step explanation:

375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars

3p + 4b = 375 - - (1)

4p + 2b = 300 ---(2)

From (2)

4p = 300 - 2b

p = 75 - 0.5b

Put b = 75 - 0.5b

3(75 - 0.5b) + 4b = 375

225 - 1.5b + 4b = 375

225 + 2.5b = 375

2.5b = 375 - 225

2.5b = 150

b = 150 / 2.5

b = 60

3p + 4(60) = 375

3p + 240 = 375

3p = 375 - 240

3p = 135

p = 45

Bag of potato = 45 cent

Candy = 60 cents


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Answers

Answer:

2.25

Step-by-step explanation:

Find the volume of the prism as pictured below with base area 10 cm2 and
h = 32 cm. Do not include units in your answer.

Answers

Answer: 320
Explanation: Volume= Bh, where B is the base area and h is the height. So to find the volume you need to multiply B (10 cm) by h (32) to get your answer, which is 320.

what is 71% of 903.23m, give the answer rounded to 2 dp​

Answers

Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

please help i don't understand

Answers

Answer:

Step-by-step explanation:

the answer is 3/7 ‍

Answer:

3/7

Step-by-step explanation:

You could also write this expression as 3(1/7):  "three times one seventh."

Multiplying the '1' by the '3' yields the desired fraction:  3/7

Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to

Answers

Answer:

66

Step-by-step explanation:

18+15+18+15

Answer: The answer is 66 18+15+18+15.

Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. Considering this data, how many of the next 3 donuts Brody eats would you expect to be glazed donuts?

Answers

Answer:1

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(glazed donut)

=

glazed donuts

total

=

3

2+2+5+3

=

3

12

=

1

4

The experimental probability is

1

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

4

=

n

20

1

4

(420)

=

n

20

(420) Multiply both sides by (420)

120

= 4n Simplify

20

= 4n Simplify

5

= n Divide both sides by 4

You would expect 5 out of the next 20 donuts Brenna eats to be glazed donuts.

Help asap please!!!!!!!!!!!!!! 4-26-21 math

Answers

Answer:

2 and x=-2

Step-by-step explanation:

What is the median of the data set?
10, 18, 21, 25, 31, 33, 36
O A. 10
O B.7
C. 36
D. 25

Answers

Answer:

D

Step-by-step explanation:

Median = The middle number ( in terms of value )

So the first step is usually to put the set of numbers in order from least to greatest but they have already done that for us

That being said all we have to do is find the middle number

In the set, 10, 18, 21, 25, 31, 33, 36

the middle number would be 25

therefore your answer is D  

Answer:

D. 25

Step-by-step explanation:

10, 18, 21, "25", 31, 33, 36

Hope this helps

Graph the inequality.
-5x + 2y<2

Answers

the answer is below:

the x and y axis are tangent to a circle with radius 3 units. write a standard equation of the circle.

Answers

Given:

The x and y axis are tangent to a circle with radius 3 units.

To find:

The standard form of the circle.

Solution:

It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.

We know that the radius of the circle are perpendicular to the tangent at the point of tangency.

It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting [tex]h=3,k=3,r=3[/tex], we get

[tex](x-3)^2+(y-3)^2=3^2[/tex]

[tex](x-3)^2+(y-3)^2=9[/tex]

Therefore, the standard form of the given circle is [tex](x-3)^2+(y-3)^2=9[/tex].

About 80% of the precipitation that enters Crater Lake falls directly on the surface of the lake. Write this percent as a decimal.
80% =

Answers

Answer: 0.80

Step-by-step explanation:

Given

80% of the precipitation falls on the lake surface

The percentage can be written as

[tex]x\%=\dfrac{x}{100}[/tex]

[tex]\therefore 80\%=\dfrac{80}{100}=0.80[/tex]

Lisa reads 1/2 of a 200 page book
in 4 days. How many days
would it take Lisa to read a 600
page book?

Answers

Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

Harvey bought two pinatas, one shaped like a soccer ball and one
shaped like a basketball. Both pinatas are spheres with a radius of 5 inches.
What is the total volume of both pinatas? Round to the nearest tenth.​

Answers

Answer:8.65

Step-by-step explanation:

I dont know the answer!! I give brainlist...​

Answers

Answer:

A.   (f + g)(1) = - 9

B.    (f - g)(0) = -7

C.    (fg)(3) = 0

Step-by-step explanation:

A.    (f + g)(1) = f(1) + g(1)               f(1) = 1^2 - 9 = 1 - 9 = - 8       g(1) = 1 - 2 = - 1

                    = -8 -1 = -9

B.     (f - g)(0) = f(0) - g(0)             f(0) = 0^2 - 9 = 0 - 9 =  -9      g(0) = 0 - 2 = -2

                      =  -9 + 2 = -7

C.      (fg)(3) = f(3)(g(3)                   f(3) = 3^2 - 9 = 9 - 9 = 0    g(3) = 3 - 2 = 1

                    = 0(1) = 0

What is the shape of the cross section formed by the plane?

Answers

Answer:

B

Step-by-step explanation:

Look at the base :))

Answer:

Step-by-step explanation:

Hi, The cross section is rectangle

Solve central angle ​

Answers

Answer:

BC=48 degrees, AD= ??

Step-by-step explanation:

I'm going to find the angle BC so a full circle is 360 degrees but half of a circle is 180 degrees since we are dealing with half a circle its 180, 90 and 42 are already used so lets add these two numbers which is 132 lastly to find out the remaining which is angle BC we have to subtract 180-132 which is 48. So your first answer is 48.

Next is AD which i don't know how to do, Sorry :(

Expand logarithm equation

Answers

Answer:

6log_4(x) - 4log_4(y)


Georgia adds two proper fractions and gets 8/7 as an answer
Work out

the two fractions.​

Answers

Answer:

1/2 and 9/14

Step-by-step explanation:

Let the first fraction be 1/2

Let the second fraction be x

1/2 + x= 8/7

x= 8/7-1/3

= 16-7/14

= 9/14

Hence the two numbers are 1/2 and 9/14

help please ASAP ILL GIVE BRAINLIST

Answers

Answer:

1) A transformation that is not a rigid motion results in a change in shape size.

2) Translation of -3/6

Angle ACB = 74º What is the size of angle ABC?

Answers

Answer:

[tex]assume \: its \: is \: a \: right \: angled \: triangle \\ < ABC + < ACB + 90 \degree = 180 \degree \\< ABC = 180 \degree - (74 + 90)\degree \\ < ABC = 16\degree[/tex]

Manuel borrowed $1,500 from his bank and signed a
contract to make monthly payments for two years at 4%
interest compounded annually. How much total interest
will Manuel pay on this loan?

Answers

Answer:

The total interest to pay back on the loan is $122.40

Step-by-step explanation:

Here. we want to get the amount of interest on the loan

We are going to use the compound interest formula here

A = P(1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed called the principal which is $1,500

r is the interest rate which is 4% annually

This is same as 4/100 = 0.04

n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1

t is the number of years = 2

So we have;

A = 1500(1 + 0.04/1)^(2)(1)

A = 1500(1.04)^(2)

A =$ 1,622.40

So the amount of interest is the difference between the amount borrowed and the value to pay back

That will be;

$1,622.40 - $1,500

= $122.40

8x+5 with an explanation

Answers

Answer:

8x+5

Step-by-step explanation:

it would be 8x+5.

this is because 8x and 5 are not like terms so they cannot be collected which means that the answer is 8x+5

The answer is 8x + 5. & the explanation is what the people said above me !

What is the average of 87 and 62

Answers

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

The theoretical probability of spinning a number a number less than 7 is__?

Answers

6/6. you will always get a number less that seven.

The number of blueberry muffins made is 40% of the total number of total muffins they make daily.

On tueday, the baker makes 60 muffins. How many miffins does the Baker bakes on Tuesday?​

Answers

The answer to your question is:

24

Answer:

probably 24

Step-by-step explanation:

I need to find the unknown dimension of a rectangle if its area is 216 square miles and one dimension measures 6 miles

Answers

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

What is the missing step in this proof

Answers are: A. CAB, ACB, EDB, DEB
B. ADE, DBE, CED, EBD
C. CAD, ACE, ADE, CED
D. CAB, EDB, ACB, DEB

Answers

The missing step in the given proof is ∠DEB ≅ ∠ACE

How to prove similar triangles?

From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.

Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.

Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.

Read more about Similar Triangles at; https://brainly.com/question/8691470

#SPJ1

Kaitlyn makes 65% of her free throws on the basketball court. If she attempts 50 free throws in practice, about how many would you expect her to make?

Answers

32.5 , so about 32 or 33 throws

Answer: Its 33 !

Step-by-step explanation:

Okay so its actually not that bad at all !

So STEP 1

Convert your percent into a decimal : 65% -->  .65

STEP 2 you still following me you got this !

since kaitlyn attempts to throw  50  free throws all you need to do is multiply your decimal you converted by 50

it would look like this   .65 X 50 = 32.5

Step 3

Depending on what your answer choices are 32.5 is going to have to be rounded upwards remember anything at or above 5 you round up. Anything below 5 you round down so your answer will be  33 in this problem

Summary  

when seeing questions like this  convert that percent into a decimal  then depending on what is being counted for. you multiply your decimal by the number !  Hope this helps thanks for reading <3

There were 25 problems in Mark's test. 92% of the problems he answered correctly. How many wrong answers were in Mark's test?

Answers

Answer:

2 incorrect answers

Step-by-step explanation:

If you take the percentage correct, you will notice its a particularly high score for the amount of questions. In this case, instead of using a really long theorem, its much simpler to just input numbers.

To find your score on a test out of 100%, you take your amount correct and divide it by the total number of questions, then multiply by 100.

If you take 24/25, you get 0.96, which if multiplied 100*0.96=96%

Now its simple, just go 23/25 to get 0.92, multiplied 100*0.92=92% correct, 25-23=2 so the amount of incorrect answers would be 2.

Alonzo rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 73 cents for each mile driven. Alonzo had to pay
$215.90 when he returned the truck. For how many miles did he drive the truck?

Answers

Alonzo would of drove the truck 267
$215.90-$20.99=$194.91.....$194.91/¢0.73=267 miles
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