1. Jane saved up 20 coins, all nickels and
quarters, and when she counted it, she had
$3.00. How many nickels and how many
quarters did she have?
Let
Let
Equation:
Equation:
Sentence:​

Answer:

I would use the pounds.

Step-by-step explanation:

The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.

750 ounces          16 ounces

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

  x pounds              1 pound

Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!

Answer:

The answer will be 7L/100km.

Step-by-step explanation:

The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.

Hey there! :)

Answer:

x = 7L/100km.

Step-by-step explanation:

Solve this problem by using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Use the points (100, 40) and (600, 5) and plug these into the formula:

[tex]m = \frac{5-40}{600-100}[/tex]

Simplify:

[tex]m=\frac{-35}{500}[/tex]

Since this is describing the rate of consumption, we can simply write the slope as:

[tex]m = \frac{35}{500}[/tex]

The question is asking for the rate of consumption over 100 km, therefore:

[tex]\frac{35}{500} = \frac{x}{100}[/tex]

Cross multiply:

3500 = 500x

Divide both sides by 500:

3500/500 = 500x/500

x = 7L/100km.

Hope you understand :)

The missing length of the triangle is 22.

It follows from the complete question that the triangle given and the missing length (longest side) can be calculate by means of the proportional as follows;

5/ 15 = 11/ (11+ x)

By cross multiplication;

5 (11 + x ) =  15 (11)

55 + 5x = 165

5x = 165 - 55

5x = 110

x = 22

Learn more about missing length;

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Answer:

Area of polygon MNOPQR = 13 units

Step-by-step explanation:

Area of smaller rectangle:

(7-3)= 4 units  multiplied by (3-2) = 1 unit

= 4 sq. units.

Area of polygon MNOPQR

= 3*3 units + 4*1 units

= 9 units + 4 units

= 13 units

Answer:

22

Step-by-step explanation:

In this sequence, the next number is found by adding 4.

Answer:

22

Step-by-step explanation:

10 - 6 = 4

so, all next numbers have to be added by 4

Answer:

Applies are £0.50 each and bananas £0.80 each.

Step-by-step explanation:

Represent the numbers of apples and bananas by a and b respectively.

Then:

5a + 4b = £5.70, and:

4a + 2b = £3.60

Let's solve this system using elimination by addition/subtraction.  Multiply the 2nd equation by -2, obtaining the equivalent system

5a + 4b = £5.70

-8a  - 4b = -£7.20

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

-3a         =  -£1.50

Dividing both sides by -3, we get £0.50.  Apples are £0.50 apiece.

How much are bananas per piece?  Use the first equation; substitute £0.50 for a:

5(£0.50) + 4b = £5.70, or

                  4b = £3.20.  Then b = £0.80.

Applies are £0.50 each and bananas £0.80 each.

Answer:

B. 5, 12, 13

Step-by-step explanation:

√5²+12²=13 - yes

√4²+7²= 8.06- no

√20²+22²=29.73 - no

Answer:

none of the above

Step-by-step explanation:

Answer:

Your correct option is 'None of the above'

Step-by-step explanation:

Non of these are correct for this equation that needs simplified. Below you can see the simplified version that I have for it.

√5(8 + 3√6) = 8.760271

Simplified: 8.760271

there are 53 children in the family gathering

Answer:

C = 53

Step-by-step explanation:

WHAT WE KNOW

m + w + c =100

2w - 2 = m

6 + w + m = c

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

FIND C

Answer: 52 weeks

Step-by-step explanation:

There are 52 weeks in a year, so she should divide her number by 52.

━━━━━━━☆☆━━━━━━━

▹ Answer

52 weeks

▹ Step-by-Step Explanation

1 year = 52 weeks

Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Option C.

Step-by-step explanation:

It is given that Tatiana made a two-way table to describe what her friends like at the amusement park.

Two way table represents the data for two categorical variables. The categories are labeled at the top and the left side of the table.  

In the given case, water rides labeled on the top and roller coasters  labeled on left side.  Row represents one variable and column represents the other.

Tatiana two-way table is in the form of below table:  

                                          likes water rides       doesn’t like water rides  

likes roller coasters                           a                          b

doesn’t like roller coasters               c                          d

where, a, b, c and d are constant.

columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides  

Therefore, the correct option is C.

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/ (x2-x1)

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.

Answer:

[tex]c+6[/tex]

[tex]d-32[/tex]

Step-by-step explanation:

We need to translate the given phrases into an algebraic expression.

1.

Let variable c represents the unknown quantity.

The total of the number of cars in the garage and the 6 cars outside.

Required expression : Cars in garage + Outside cars  

[tex]c+6[/tex]

Therefore, the required expression is [tex]c+6[/tex].

2.

Let variable d represents the unknown quantity.

The number of dollars Paul owes minus 32.

Required expression : Number of dollars Paul owes - 32

[tex]d-32[/tex]

Therefore, the required expression is [tex]d-32[/tex].

Answer:

[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]

[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]

[tex]\cos(2\pi) = 1[/tex]

The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.

Answer:

Attached pleased find the screen grab of the graph with the line y = x - 4 included

The solution of the system of equations, y = x² - 4·x and y = x - 4 is directly found from the graph by the points of the intersection of the lines y = x² - 4·x and y = x - 4 which are (4, 0) and (1, -3)

x = 1 y = -3

or

x = 4 y = 0

Step-by-step explanation:

To verify, we have;

Equations y = x² - 4·x and y = x - 4 can be solved where they are equal as follows

Thus equating the value of y in both equations gives;

x² - 4·x  = x - 4

x² - 4·x -x - 4 = 0

x² - 5·x  + 4 = 0

(x - 4) × (x - 1) = 0

Therefore; x = 4 or 1

When x = 4, y = x - 4 = 1 - 4 = -3.

Answer:

6x+25

Step-by-step explanation:

six times a number

6x

The sum of this and 25

6x+25

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

Answer:

3rd Option

Step-by-step explanation:

Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

Answer:

D on edge

Step-by-step explanation:

merry christmas my elf on the shelf/Farkle is so good and nice ;)

Answer:

d

Step-by-step explanation:

Answer:  Choice D

Step-by-step explanation:  The f(x) values must all be negative numbers.

The open circles represent x values > or < the x.

The solid circles represent x values  ≤ or ≥ to the x.

Find values that match up.

9514 1404 393

Answer:

  [0]

Step-by-step explanation:

The product is the sum of the products of corresponding terms:

  1·4 +(-2)·5 +1·6 = 4 -10 +6 = 0

The product is the 1×1 matrix: [0].

Answer:

15/163

Step-by-step explanation: I dont have one

Answer:

i think its D

Step-by-step explanation:

Answer:

it's the first one because it's going down by 1/2

The exponential function represented by the values is f(x) = 4(0.5)ˣ.

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 4):

4 = ab⁰

a = 4

At point (2, 1):

1 = ab²

1 = 4b²

b² = 0.25

b = 0.5

The exponential function represented by the values is f(x) = 4(0.5)ˣ.

Find out more on Exponential function at: brainly.com/question/12940982

Answer:

100 numbers

Step-by-step explanation:

There are 100 numbers with 5 as the hundreds digit. (500-599)

There are 100 numbers with 6 as the hundreds digit. (600-699)

There are 50 even numbers with 5 as the hundreds digit.

(500, 502, 504, ... , 598)

There are 50 even numbers with 6 as the hundreds digit.

(600, 602, 604, ... , 698)

50+50=100 numbers

Answer:

(D)

✔ (0, 0), (0, –8), (–4,–8), (–8,0)

Step-by-step explanation:

Answer:

HaVe An aWESomE dAy

Step-by-step explanation:

Answer:

24 inches

Step-by-step explanation:

After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches.  The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.

Answer:

The order is "D, B, A, E, C".

Step-by-step explanation:

The numbers are as follows:

[tex]A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}[/tex]

Simplify the value of A, B, C, D and E as follows:

[tex]A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937[/tex]

Arrange the following numbers in increasing order as follows:

D > B > A > E > C

Thus, the order is "D, B, A, E, C".

Answer:

C, E, A, B, D

Step-by-step explanation:

I had this question and this was the correct answer

Answer:

5

Step-by-step explanation:

Answer:

W=5

Step-by-step explanation:

First we distribute the -4 in

-4w - 4 =-24

Now we isolate the -4w by adding 4 to both sides

-4w=-20

Now divide

w=5

Have a good day!

Answer: 11 balls

Step-by-step explanation:

Because there are a total of 13 balls and 4 of them are red, if you are drawing out randomly you have to draw a minimum of 11 balls to guarantee that at least two red balls are among them

Brainliest is much appreciated!