An item has increased by
23% to £58.
What was the original
price?

Answer:

A. 88.75%

Step-by-step explanation:

Answer:

7.65

Step-by-step explanation:

Add 1.8 to 5.85 to find initial height

7.65 just add the 2 I answered first btw! Give brainliest pls since im first.

Answer:

Four pounds of strawberries costs $12: y=3x

Ben reads 5 novels per month: y=5x

Maya puts $4 into her bank account each week: y=4x

Answer:

50miles/hour

Step-by-step explanation:

400/8 is 50.

The rate as a unit rate of 400 miles in 8 hours is 50 miles.

"The process of breaking down the cost to a smaller unit reveals the unit rate of the product. Since rate is a ratio that compares two different units."

Based on the given conditions,

Rate as a unit rate :

= [tex]\frac{400}{8}[/tex]

Cross out the common factor

= 50 miles

Hence, the rate as a unit rate of 400 miles in 8 hours is 50 miles.

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Answer: Hi there, the answer should be the third option v < -8.

Answer:

D

Step-by-step explanation:

The rate of 12 meters per second means that the constant of proportionality (k) or slope = 12.

That is m/s = 12.

The table that has a constant of proportionality that equals 12 is the table that represents the statement given.

The table in option D has a constant of proportionality of 12, since the ratio of m/s for all its given pair of values will give us 12 all through.

Answer:

I think your answer is B

Step-by-step explanation:

9 directly precede 2, 4 times, in the sequence, 12909296292629.

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

In the given sequence,

12909296292629,

there are 4 such 9's that are preceded by 2 immediately.

That means, for the clear representation,

1-29-09-29-6-29-26-29

Therefore, there are 4 such 9's that are preceded by 2.

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Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

Answer:

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

This gives

[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]

Set the denominator to 0

[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]

Solve for x

[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]

Factorize:

[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]

[tex](x - 7)(x - 3)(x + 7) = 0[/tex]

This implies that:

[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

Other options do not need to be checked, since there is only one answer.

Answer:

A

Step-by-step explanation:

Answer:

The answer is t=8

Step-by-step explanation:

simplify both sides or the equation, then isolate the variables

Answer:

t = 8

Step-by-step explanation:

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 6 to both sides of the equation:

1/4t + (-6) = -4

1/4t - 6 = -4

1/4t - 6 (+6) = -4 (+6)

1/4t = -4 + 6

1/4t = 2

Next, multiply 4 to both sides of the equation to isolate the variable, t:

4 * (1/4)t = (2) * 4

t = 2 * 4

t = 8

t = 8 is your answer.

~

Answer:

Step-by-step explanation:

A salt solution contains 10% salt and weights 80g.

Salt content of the solution is:

4% solution has 8 g salt, total solution is:

Water to be added:

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

7

l

0

−

8

=

20

;

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

Answer:

50

Step-by-step explanation:

5(3 + 7)

15 + 35 = 50

Answer:

25 i think

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).

Being inverse simply means that it "reverses" the operation that was applied to it with the original function .

For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2

Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2

So, 2/1 is in fact the inverse of 1/2.

Hence, f-1(x) is the same as 1/f(x)

Answer:

I have no clue what this is but ok

Answer:

Assuming that the notation there is meant as:

[tex](3c)^{-2}[/tex]

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

The expression equivalent to 1/9c².

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

Given:

[tex](3c)^{-2}[/tex]

To make the power positive, just do the reciprocal

=1/ (3c)²

=1/9c²

Hence, the expression

[tex](3c)^{-2}[/tex] is equivalent to 1/9c².

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