To make a cleaning solution, George mixes 3 cups of water to 4 drops of cleaner. Which table best represents the ratio of the cleaning solution?

Answer:

A 61377

B 87405

Step-by-step explanation:

If sum of the digits of a number is divisible by 3, then that number is also divisible by 3.

Option A:

Given number is: 61377

Sum of the digits = 6+1+3+7+7 = 24

24 is divisible by 3, hence 61377 is also divisible by 3.

Option B:

Given number is: 87405

Sum of the digits = 8+7+4+0+5 = 24

24 is divisible by 3, hence 87405 is also divisible by 3.

Option C:

Given number is: 30898

Sum of the digits = 3+0+8+9+8 = 28

28 is not divisible by 3, hence 30898 is also not divisible by 3.

Similarly, sum of the digits of the numbers in options D, E and F are 8, 22 and 26 respectively, which are not divisible by 3, hence the numbers 6020, 29830 and 75932 are also not divisible by 3.

Answer:

357

Step-by-step explanation:

Multiply: 340*1.05=357

Answer:

im pretty sure that the answer your looking for is  90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

STEP 1   27 = 30% × Y

STEP 2  27 = 30/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3   Y = 27 × 100/30

STEP 4   Y = 27 × 100 ÷ 30

STEP 5   Y = 90

Finally, we have found the value of Y which is 90 and that is our answer.

Interest = 500

Step-by-step explanation:

Interest = [tex] \frac{p∗r∗t}{100} \\ [/tex]

p = principal amount , r = rate , t = time

Interest=[tex] \frac{10000 \times 5 \times 1}{100} \\ [/tex]

Interest = 500

Answer:

interest = RS. 500

Step-by-step explanation:

interest= 100/p*r*t

p∗r∗t

​p = principal amount , r = rate , t = time

interest= 100/10000∗5∗1

​

It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

It should be noted that null and alternate hypothesis are written based on the population parameter.

From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:

= 1/4 = 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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Answer:

see below

Step-by-step explanation:

Line 2 (the line that is darker in your pic) is wrong because the sign for 8 goes from "+" to "-". It should be +4x-8 in order for it to be correct

Answer:

3 3/10

Step-by-step explanation:

proof is in the picture :)

The radius of circle is 3/17 1/2 inhces whose diameter is 635 inch.

We have,

The diameter of circle is 635 inches.

Also, we know that the radius of circle is half of the diameter.

So, r= d/2

Then, the radius of circle is

= 635/ 2

= 317 1/2

Thus, the required radius is 317 1/2 inches.

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Answer:

1/20

Step-by-step explanation:

h×b over 2

1/5 × 1/2 over 2

= 1/20

Answer:

-10

Step-by-step explanation:

The required value of x is -1 when f(x) = –3 for the given function. The correct answer is option (D) -1.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The given table represents the function f(x).

x      f(x)

-4   -66

-3   -29

-2    -10

-1      -3

0     -1

1     6

We are given a table representing the function f(x) and we need to find the value of x when f(x) = –3.

From the given table, we can see that when x = –1, f(x) = –3. Therefore, the answer is -1.

Hence, the correct option is:

(D) -1

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Answer:

22.04

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

Answer:

[tex]A(t)=-1.8t-4.5[/tex]

Step-by-step explanation:

Mr.Mole's digging can be described by a linear model of general equation:

[tex]A(t)=m*t+c[/tex]

Where "m" is the rate at which he descends. Note that since the function A(t) measure his altitude relative to the ground, the rate "m" must be negative.

[tex](m=-1.8)[/tex]

[tex]A(t)=-1.8*t+c[/tex]

The constant "c" is his starting position. To find this value, assign the given data at t = 5 min to the equation above

[tex]-13.5=-1.8*5+c\\c=-4.5m[/tex]

Therefore, the function A(t) is described by the following formula:
[tex]A(t)=-1.8t-4.5[/tex]

Answer:

area of trapezium: 740 cm²

Step-by-step explanation:

[tex]\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }[/tex]

Given here:

using the formula:

[tex]\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }[/tex]

solve:

[tex]\sf {\frac{1}{2}* (34 \ + 40) \ * 20}[/tex]

[tex]\sf {\frac{1}{2}* (74) \ * 20}[/tex]

[tex]\sf 74 * 10[/tex]

[tex]\sf 740[/tex]

same answers just different way to put them

25 ²²/27

697/27

25.814

3+(2,50×5)=15,50$. the total cost of a five-mile taxi ride

Answer:

-3.5 14

Step-by-step explanation:

2y=-7x+28

y=-3.5x+14

Answer:

Y-intercept = (0, 14) and Slope = -7/2

Step-by-step explanation:

7x + 2y - 15 = 13

2y = -7x + 28

y = -7/2x + 14

Slope = -7/2

Y-intercept = (0, 14)

Answer:

Slope = m = 10/3 and y-intercept = (0, 16/3)

Step-by-step explanation:

-10x + 3y - 6 = 10

3y = 10x + 16

y = 10/3x + 16/3

Slope = m = 10/3

y-intercept = (0, 16/3)

Answer:

-5/4

Step-by-step explanation:

We can use the slope formula to find the slope

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

   = ( -3 -2)/( 3 - -1)

   = ( -3-2 ) /( 3+1)

   = -5/4

Answer:

m = -5/4

Step-by-step explanation:

The slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, m = -5/4.

The answer to the given questions are b = 54, c = 24, m = 75, y = 33, p =87.

It changes it's sign.

We have to form equation for the given questions with a variable and find the value of the variable.

In the first question

There were 45 apples in the barn her dad picked some more apples and put them into it and now the total no. of apples in the barn is 99.

Assuming here dad picked b no. of apples the the equation will be of the form

45 + b = 99

b = 99 - 45

b = 54.

∴ Her dad put 54 apples in the barn.

In the second question

Gran sold 13 clothes in the sell and after that she had 11 clothes left and c is the total no. of clothes

∴ c = 13 + 11

  c = 24

So Gran knitted 24 clothes for her school fundraiser.

In the third question

leah's friend gave her 12 dollars for her birthday and after her grandparents gave her some money (m) she had a total of

87 dollars.

∴ 12 + m = 87

m = 87 - 12

m = 75

So her grandparents gave her 75 dollars of money.

In the fourth question

Lorenzo had 96 passing yards before the football game and after that he had 129 yards for the season and y be the no. of passing yards during the football game.

∴ 96 + y = 129
 y = 129 - 96

 y = 33.

So he made 33 passing yards during the game.

In the fifth question

An artist took 105 art pieces and after he sold some of them which is p he is left with 18 pieces

∴ 105 - p = 18

  p = 105 - 18

  p = 87

So he sold 87 pieces of art in the fair.

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Step-by-step explanation:

40 increases to 56.

To find the percent increase:

Subtract the increased value from the original value.

Divide the difference by the original value.

Multiply the quotient by 100 to represent the percent.

Solve:

[tex]56 - 40 = 16[/tex]

[tex]16 \div 40 = 0.4[/tex]

[tex]0.4 \times 100 = 40[/tex]

There's a 40% increase.

Answer:

There are 2.54 cm per inch.

15.5 inches * 2.54 cm / 1 inch =

39.37 centimeters

Step-by-step explanation:

Answer:

1. 157 in³

2. 12 in

3. volume of the rice container is 1.5 times the volume of the sugar container

4. 50.24 in³

5. Rice container has the greatest volume

Flour container has the smallest volume

Step-by-step explanation:

By inspection of the diagram, the three containers are all cylinders.

Volume of a cylinder = [tex]\pi r^2h[/tex]

(where r is the radius and h is the height)

Given [tex]\pi[/tex] = 3.14

1. volume of sugar container = 3.14 x 2.5² x 8 = 157 in³

2. 235.5 = 3.14 x 2.5² x h

⇒ 235.5 = 19.625h

⇒ h = 235.5 ÷ 19.625 = 12 in

3. height of sugar container = 8 in

   height of rice container = 12 in

  12 ÷ 8 = 1.5

⇒ height of rice container is 1.5 times the height of the sugar container

volume of sugar container = 157 in³

volume of rice container = 235.5 in³

235.5 ÷ 157 = 1.5

⇒ volume of the rice container is 1.5 times the volume of the sugar container

4. volume of flour container = 12.56 x 4 = 50.24 in³

5.  volume of sugar container = 157 in³

    volume of rice container = 235.5 in³

    volume of flour container = 50.24 in³

Rice container has the greatest volume

Flour container has the smallest volume

Answer:

a = 4

Step-by-step explanation:

2a + 7 = 15

     - 7  - 7

2a = 8

/2   /2

a = 4

Hope this helps!

Answer:

a=4

Step-by-step explanation:

We need to find a way to get (a) alone on one side.
first, we will subtract 7 from 15 to get 8.
Next, We will divide 8 by 2. to get 4

your work should look like this.
2a+7=15
2a=15-7
2a=8
a=8/2
a=4

Step-by-step explanation:

only option (b) will give u 7x^2 + 16x -15

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

Step-by-step explanation:

Note that when lines intersect, that when they show a solution.

All Solutions:

When we graph two equations, and they line on the same curve thus all points will be a point of intersection..

Let say we have two linear equations.

[tex]4x + 4y = 16[/tex]

[tex]x + y = 4[/tex]

This are all solutions, because

if we do the graphical way, when we graph this on a calculator or desmos, they will lie on the same curve so it has infinite points of intersections.

If we do algebraic way,

Notice that the top equation is the same as The bottom equation but just multiplied by 4. So the top and bottom equations are the same.

So whenever the two or more equations have same slope and same y intercept, the solutions will be all real solutions or infinite solutions.

One Solution:

In plane geometry, note that a line that isn't parallel to another one, will intersect eventually once.

This means that for example

[tex]4x + 4y = 16[/tex]

[tex]x + 2y = 32[/tex]

These equations have different slope so they will intersect once. Which means it'll have one solution.

NO Solutions:

Parallel Lines never intersect which means they have no solutions.

Consider this

[tex]4x + 4y = 16[/tex]

[tex]x + y = 1[/tex]

We know the slopes are the same but y intercept is different they will never intersect.

Answer:

C) 180° < theta < 270°

Step-by-step explanation:

Hope this helps