5. Which of the following equations is in standard form?
a. 2x = 7
b. -3x + 2y = 10
c. y - 3 = x
d. y + 5 = 4 (x - 4)

Answer:

€16.875 is the answer

Step-by-step explanation:

£22.50/3*100

=16.875

Answer:

x > -6

Step-by-step explanation:

Add 99 to both sides.

x>-15+9x>−15+9

2 Simplify  -15+9−15+9  to -6.

x > -6

Answer:

d) [tex]4\cdot 10^{6}[/tex] times

Step-by-step explanation:

Scientific Notation

We are given two quantities and we must find the ratio between them and use scientific notation.

The diameter of a pearl is about

[tex]4\cdot 10^{-3}\ cm[/tex]

Converting to meters, we divide by 100

[tex]4\cdot 10^{-3} / 100 = 4\cdot 10^{-5}\ m[/tex]

The diameter of an atom is about

[tex]10^{-11}\ m[/tex]

The ratio between both diameters is:

[tex]\displaystyle \frac{4\cdot 10^{-5}\ m}{10^{-11}\ m}= 4\cdot 10^{-5+11}=4\cdot 10^{6}[/tex]

Answer: d) [tex]\mathbf{4\cdot 10^{6}}[/tex] times

Answer:

The data shows a linear association between the variables.

The data shows a negative association between the variables.

Answer:

The correct option is a. 10 ≤ x ≤ 60, or x is from 10 to 60.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Seven-year-old students at an elementary school were given a 10-yard head start in a race. The graph shows how far the average student ran in 30 seconds. A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 10, 7 and 60, 7 is drawn. Which statement best describes the domain of the function represented in the graph?

a. 10 ≤ x ≤ 60, or x is from 10 to 60

b. 7 ≤ x ≤ 60, or x is from 7 to 60

c. 7 ≤ x ≤ 10, or x is from 7 to 10

d. 0 ≤ x ≤ 10, or x is from 0 to 10

Note: See the attached photo for the graph referred to in the question.

The explanation of the answer is now given as follows:

In statistics, the domain of a function refers to the values in the x-axis where there is a corresponding value in the y-axis.

In this question, the only defined values for x are from 10 to 60 with a corresponding constant value of 7 in the y-axis.

Based on this, the correct statement that best describes the domain of the function represented in the graph is therefore option a. 10 ≤ x ≤ 60, or x is from 10 to 60.

Answer:

[tex]4x-3[/tex]

Step-by-step explanation:

[tex](7x-5) -(3x-2)[/tex]

Remove unnecessary parentheses

[tex]7x-5-(3x-2)[/tex]

When there is a " _" in front of any expression in parentheses , change the sign of each term of the expression.

[tex]7x-5-3x+2[/tex]

Collect Like terms by subtracting their Coefficients

[tex](7-3)x[/tex]

Subtract the numbers

[tex]4x-5+2[/tex]

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger

[tex]-(5-2)[/tex]

Subtract the numbers

[tex]-3[/tex]

[tex]4x-3[/tex]

PLEASE MARK ME AS BRAINLIEST

Answer:

the change in the amount of time is 30 minutes

Step-by-step explanation:

The computation of the change in the amount of time is shown below

= Number of consecutive ways × number of  minutes more each day

= 6 days × 5 minutes

= 30 minutes

Hence, the change in the amount of time is 30 minutes

Therefore the correct option is D.

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

A = 63 m^2

Step-by-step explanation:

The area of a parallelogram is bh

A = bh

The base is 9 and the height is 7

A = 9*7

A = 63 m^2

Answer:

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Step-by-step explanation:

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Answer:

-1536 would be your answer

Answer:

[tex]m \times n \\ when \: m = 13 \: and \: n = 12 \\ = 13 \times 12 \\ = 156[/tex]

Answer:

2/5

Step-by-step explanation:

3/10÷3/4

3/10×4/3

4/10

2/5

Step-by-step explanation:

they each had 25 mushrooms for Carl and his friends there are 4 of them each and they got the same portions and if you count by 5s to 25 that will be the answer so the answer is 5

Answer:

5

Step-by-step explanation:

Number of mushrooms = 25

Number of persons = 5

Each of them ate the same number of mushrooms. so the square root of 25 will be number of mushrooms eaten by each

Number of mushroom eaten by each of them = √25

              = 5

Answer:

Each comic booke was $3.50

Step-by-step explanation:

You just have to divide 21 by 6

Answer:

$3.50

Step-by-step explanation:

21 divided by 6 gives you 3.5 and you add the 0 because its referring to money

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

Answer/Step-by-step explanation:

4x - 7 = -2x + 12 (Given)

Add 2x to both sides

4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)

6x - 7 = 12 (Simplication)

Add 7 to both sides

6x - 7 + 7 = 12 + 7 (Addition property of equality)

6x = 19 (Simplification)

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{19}{6} [/tex] (Division property of equality)

[tex] x = \frac{19}{6} [/tex]

The correct justification, provides the right reasons for the given

mathematical operation.

Responses:

3. Simplification

6·x - 7 + 7 = 12 + 7  [tex]{}[/tex]             4. Addition property of equality

The two column solution is presented as follows;

Step [tex]{}[/tex]                                               Justification

4·x - 7 = -2·x + 12  [tex]{}[/tex]                       1. Gives

4·x - 7 + 2·x = -2·x + 12 + 2·x [tex]{}[/tex]     2. Addition property of equality

6·x - 7 = 12  [tex]{}[/tex]                                 3. Simplification

6·x - 7 + 7 = 12 + 7 [tex]{}[/tex]                      4. Addition property of equality

6·x = 19 [tex]{}[/tex]                                       5. Simplification

[tex]\dfrac{6 \cdot x}{6} = \dfrac{19}{6}[/tex]                           [tex]{}[/tex]           6. Division property of equality

Learn more about the properties of equality here:

https://brainly.com/question/4207575

Answer:

$3.0375

Step-by-step explanation:

Original price of dinner = $2.25

If cost percentage of 35%, then the additional cost paid will be;

35% * 2.25

= 0.35 * 2.25

= $0.7875

Target price = Original price + additional cost

Target price = $2.25 + $0.7875

Target price = $3.0375

Answer:

Han's mixture tastes stronger, because...

Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.

Clare uses 7 1/2 cups of water for every 1 cup of orange juice concentrate.

Step-by-step explanation:

Claire

Cups of water = 2 1/2 cups

Cups of orange juice = 1/3

Cups of water for every cup of orange juice = 2 1/2 ÷ 1/3

= 5/2 × 3/1

= 15/2

= 7 1/2

Han:

Cups of water = 1 2/3 cups

Cups of orange juice = 1/4 cups

Cups of water for every cup of orange juice = 1 2/3 ÷ 1/4

= 5/3 × 4/1

= 20/3

= 6 2/3

Answer:

Step-by-step explanation:

We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)

So the function is:

Answer: 3 3/9+7 6/11 = 10 87/99

Step-by-step explanation:

a. 3 3/9+7 6/11 = 10 87/99

First and foremost, we need to know the lowest common multiple of 9 and 11 which is 99.

Therefore, 3 3/9 + 7 6/11 would be:

= 3 33/99 + 7 54/99

= 10 87/99

This is correct

b. 2 3/8 + 6 4/5 = 8 12/40

First and foremost, we need to know the lowest common multiple of 8 and 5 which is 40.

Therefore, 2 3/8 + 6 4/5 would be:

= 2 15/40 + 6 32/40

= 8 47/40

= 9 7/40

Since the answer gotten is 8 12/40. This is wrong.

c. 3 3/7 + 4 2/3 = 7 2/21

First and foremost, we need to know the lowest common multiple of 7 and 3 which is 21.

Therefore, 3 3/7 + 4 2/3 would be:

= 3 9/21 + 4 14/21

= 7 23/21

= 8 2/21

Since the answer gotten is 7 2/21. This is wrong.

d. 4 5/6 + 5 5/7 = 9 10/13

First and foremost, we need to know the lowest common multiple of 6 and 7 which is 42.

Therefore, 4 5/6 + 5 5/7 would be:

= 4 35/42 + 5 30/42

= 9 65/42

= 10 23/42

This is wrong as the answer gotten is 9 10/13

Therefore, the true option is

3 3/9+7 6/11 = 10 87/99

Answer:

Step-by-step explanation:

Given:

89.9 from 44.689

789.03 from 999.8

₹ 789.56 from ₹ 1052. 5

15.56 kg from 28 kg

Computation:

89.9 from 44.689

44.689 - 89.9

-45.211

789.03 from 999.8

999.8 - 789.03

210.77

₹ 789.56 from ₹ 1052.5

₹ 1052.5 - ₹ 789.56

₹262.94

15.56 kg from 28 kg

28 kg - 15.56 kg

124.44 kg

Step-by-step explanation:

Well, each marker is 1/2, and the number line goes from 0-5/2, and A is on the first marker, A=1/2

Answer:

D. It has a single solution: X=-3, y= 26.

Step-by-step explanation:

3x + y = 17

x + 2y = 49 ➡ x = 49 - 2y now write this information in the first equation instead of x

3x + y = 17 ➡ 3(49 - 2y) + y = 17

147 - 6y + y = 17 add like terms

147 - 17 = 5y

130 = 5y divide both sides by 5

26 = y we can calculate the value of x using this information

3x + y = 17 ➡ 3x + 26 = 17 subtract 26 from both sides

3x = -9 divide both sides by 3

x = -3

Answer:

5/7 x = 1/7

x = (1/7) / (5/7)

x = (1/7) * (7/5)

x = 7 / 35

x = 1 / 5 or .2

Step-by-step explanation:

Answer:

Hi... X=18....y=28...

Answer:

y=1/4x−6

Step-by-step explanation:

Write in slope-intercept form, y = m x + b .

Answer:  y  = 1/4x + 6

Step-by-step explanation:

12y -3x = 72      Add  3x to both sides

     +3x    +3x

12y = 3x + 72     Divide both sides by 12.

y = 1/4x +  6

Answer:

The answer is below

Step-by-step explanation:

Given that:

y = 4x - 5

y = 3x - 2

This problem can be solved graphically by plotting the graphs of both lines, and the x and y coordinate of the intersection of both lines would give the solution to the problem. Also, the problem can be solved simultaneously by:

Step 1: subtract the second line equation from the first line equation to get

0 = x - 3

x = 3

step 2: Put x = 3 in equation 1 to get

y  = 4(3) - 5

y = 7

Therefore the solution = (x, y) = (3, 7)

Answer: 1a. f(2) is an x-value

1b. f(x) = 4 is a y-value

1c. f(-10) is an x-value

1d. m(x) = 64 is a y-value

2.  f(4) = 17

3.  x = 39

Step-by-step explanation:  In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.

2.) f(x) = 2x + 9

f(4) = 2(4) + 9

f(4) = 8 + 9

f(4) = 17

3. f(x) = 5x -3

192 = 5x -3

192 + 3 = 5x

195 = 5x

39 = x

Answer:

the answer is 2 remember

Step-by-step explanation:

i cant explain but the answer is 2

Answer:

put the value of x in equation you get value of y

and vice versa.

Answer:

exactly one solution ur welcome

Step-by-step explanation:

Step-by-step explanation:

dey right

1. 90/150 students voted Ms. Lancaster as their favorite teacher. If you divide 90 by 150, you get 0.6. 0.6 = 60% of students.

2. 25% of the 15 pecan pies were consumed, meaning 1 out of every 4 was eaten. 15/4, or 15 * 0.25 = 3.75 pies were consumed.

3. 45% of the 540 people said chocolate was their favorite ice cream flavor. To find the number of people, you can multiply 540 * 0.45 = 243 people chose chocolate.