In a sale normal prices are reduced by 10%
Tom bought a pair of shoes in the sale for £54.
What was the original price of Tom's shoes?

Answer:

59065.75

Step-by-step explanation:

Answer:

The missing value is [tex]14[/tex].

Step-by-step explanation:

Divide the known denominator by its numerator.

[tex]4\div2=2[/tex]

Now multiply the quotient by the other numerator ([tex]7[/tex]).

[tex]2×7=14[/tex]

or

First, find the factor by which the numerators have been multiplied.

[tex]2x=7→x=3.5[/tex]

Now, do the same for the denominators.

[tex]4(3.5)=14[/tex]

Answer:

10 m

Step-by-step explanation:

We are given that the relationship between intensity of sound and distance from the source is given by

Intensity (I)=[tex]\frac{k}{d^2}[/tex]

Where I=Intensity

d=Distance of sound from the source

If distance d=1m

Intensity, I=0.1[tex]w/m^2[/tex]

We have to find how close she can to the stage if vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)).

Using the formula

[tex]0.1=\frac{k}{1}[/tex]

[tex]k=0.1[/tex]

[tex]\frac{0.1}{d^2}\leq 0.001[/tex]

[tex]\frac{0.1}{0.001d^2}\leq 1[/tex]

[tex]\frac{0.1}{0.001}\leq d^2[/tex]

[tex]100\leq d^2[/tex]

[tex]10\leq d[/tex]

[tex]d=10 m[/tex]

Hence, she can sit 10 m away from the stage.

Answer:

19 683

Step-by-step explanation:

Think of it as s lock..

A normal combination lock usually have 3 scrollwheels with 10 different positions in them.. (0 1 2 3 4 5 6 7 8 9)

The smallest number you can make is 000

and the biggest is 999

therefore there are a total number of 1000 possible combinations. (001, 002, 003 ... 134, 135, 136 ... 876, 877)

I think you get it.

Simply: 10 ^ 3 = 1000

In your question we have 9 "scroll wheels" with 3 "different positions" in them

So we simply do: 3 ^ 9 = 19 683

There you go, hope i could help

Answer:

d) linear

Explanation:

Since Joseph is always getting the same amount of money the function will be linear.

The Correct Answer Should Be - 70

I Hope This Helps You!!!  :)

Answer:

- 70

Step-by-step explanation:

Answer:

Yes Carla is correct.

Step-by-step explanation:

Answer:

1/3(1/6) + 11/18 = 1/18 + 11/18 = 12/18 or 2/3

Step-by-step explanation:

Answer:

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Step-by-step explanation:

Given points are:

Q(-2,0)\ and\ R(6,12)Q(−2,0) and R(6,12)

First of all, we have to find the slope of the given line

So,

m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

\begin{gathered}m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}\end{gathered}m1=6+212−0=812=23

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

\begin{gathered}m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}\end{gathered}m1.m2=−123.m2=−1m2=−1∗32m2=−32

The bisector will pass through the mid-point of QR

\begin{gathered}M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)\end{gathered}M=(2x1+x2,2y1+y2)M=(2−2+6,20+12)M=(24,212)M=(2,6)

Slope-intercept form of equation is:

y = m_2x+by=m2x+b

Putting the value of slope

y = -\frac{2}{3}x+by=−32x+b

Putting (2,6) in the equation

\begin{gathered}6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}\end{gathered}6=−32(2)+b6=−34+bb=6+34b=318+4b=322

So,

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Hence,

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Answer:it is 0.5948

Step-by-step explanation:c

The probability that at least 1 of the selected employees will not have a college degree is 0.594776.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]

Where,

Given that 74% of the employees have degrees, therefore, 26% of the employees have no degree.

Now, since we want at least any one of the three people selected to have a degree. Therefore, the probability of everyone having a degree can be written as,

Probability that at least any one of the three people selected to have a degree = 1 - Probability of everyone having a degree

Now, using the binomial distribution we can write,

[tex]\text{Probability} = 1 - [^3C_0\cdot(0.26)^0 \cdot (0.74)^{(3-0)}]\\\\\text{Probability} = 1 - 0.405224 = 0.594776[/tex]

Hence, the probability that at least 1 of the selected employees will not have a college degree is 0.594776.

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

Answer:

YES

Step-by-step explanation:

2/5 =? 4/10

Get the same demonimator (bottom number of fraction):

2/5 multiply top and bottom by 2 to get 10 on bottom.

4/10 = 4/10

Yes they equal each other.

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

2/5 =? 4/10

Get the same demonimator (bottom number of fraction):

4/10 divided both top and bottom by 2 to get 5 on bottom

2/5=2/5

Yes they equal each other.

Answer:

Growth

Step-by-step explanation:

Answer:

[tex]\frac{a}{b + 2}[/tex]

a

___

b + 2

Answer:

8 cakes

Step-by-step explanation:

Answer:

25 cakes

Step-by-step explanation:

If all the baked goods were cakes, then they would sell 25 cakes.

100 divided by 4 is 25

you got it

Step-by-step explanation:

Answer:

2 and 2/3

Step-by-step explanation:

that is the answer

Answer:

8/3

Step-by-step explanation:

Since all of them have like denominators we should just add

[tex]\frac{2}{3}+\frac{1}{3} +\frac{5}{3}[/tex]  = [tex]\frac{8}{3}[/tex]

Answer:

True

Step-by-step explanation:

Circumference is diameter x [tex]\pi[/tex]

When you divide [tex]\pi[/tex], you get diameter

Answer:

13

Step-by-step explanation:

6 + 7 = 13

When a = 7, the value of 6 + a is 13.

To evaluate the expression 6 + a when a = 7, we substitute the value of a into the expression:

6 + a = 6 + 7.

Now, we can simplify the expression by adding the numbers:

6 + 7 = 13.

Explanation:

In the expression 6 + a, the variable a represents an unknown value. By substituting a = 7 into the expression, we replace the variable with its corresponding value.

This allows us to perform the arithmetic calculation to find the result.

Therefore, when a = 7, the value of 6 + a is 13.

Learn more about expression click;

https://brainly.com/question/28170201

#SPJ6

Answer:

H = 137, by linear pair postulate

G = 43, by vertical angles theorem

M = 49, by linear pair postulate

K = 131, by vertical angles theorem

Answer:

48 cups

Step-by-step explanation:

there's 16 cups per gallon so 16 x 3

Answer:

48 cups

Step-by-step explanation:

there are apx. 16 cups of milk in one gallon.

16 times 3 = 48

Answer:

the answer is 9.2

Step-by-step explanation:

The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.

Important information:

The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

It is clear that,[tex]81<85<100[/tex]

Taking square root on each side, we get

[tex]\sqrt{81}<\sqrt{85}<\sqrt{100}[/tex]

[tex]9<\sqrt{85}<10[/tex]

The value [tex]\sqrt{85}[/tex] lies between 9 and 10.

Therefore, the smallest integer greater than the radical value square root of 85 is 10.

Find out more about 'Radical' here:

https://brainly.com/question/8243233

Answer:

15, 25, 45, 75, 115, 165.

Step-by-step explanation:

pattern. So then you just stick the 5s back on 15, 25, 45, 75, 115, 165.

Answer:

Increasing

Step-by-step explanation:

1/4 = .25

1/2 = .50

3/4 = .75

Answer:

No

Step-by-step explanation:

6/3=18/9

9/12=18/24

Also 6/3=2 and 2 does not equal 9/12

Answer:

V = 125.6

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

V = πr²h

V = 3.14(8/2)²(2.5)

V = 3.14(4)²(2.5)

V = 3.14(16)(2.5)

V = (50.24)(2.5)

V = 125.6

Answer:

125.6

Step-by-step explanation:

πr^2 h = π·4^2 * 2.5≈ 125.66371