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3 years ago

Several athletes were asked what kind of shoes they prefer to wear. How many athletes prefer NOT to wear tennis shoes?

Mathematics

1 answer:

hjlf3 years ago

3 0

To solve for this, simply add the values of people who prefer walking shoes and running shoes, since they are NOT tennis shoes.

runningshoes+walkingshoes=
6+9=15

Answer=D

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“Seven less than a number squared”

Arte-miy333 [17]

Answer:

7-x^2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Sandra has 1/2 of cup of sugar. She needs 3/4 of a cup of sugar to complete a recipe. What fraction of the required amount does

ValentinkaMS [17]

Example: Set up proportions.

3/4 cups → 1 batch
x cups → 2 batches

x = 2(3/4) = 6/4 = 1 1/2 cups

3/4 cups → 1 batch
y cups → 9 batches

y = 9(3/4) = 6 3/4 cups

7 0

3 years ago

What is an equation of the line that passes through the point (2,−6) and is parallel to the line x-2y=8

lana [24]

Answer:

$y=\frac{1}{2}x-7$ , or x-2y=14

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8

First, we need to find the slope of x-2y=8, since parallel lines have the same slopes

We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line

Start by subtracting x from both sides

-2y=-x+8

Divide both sides by -2

y= $\frac{1}{2}x$ -4

The slope of the line x-2y=8 is 1/2

It's also the slope of the line parallel to it.

Since we know the slope of the line, we can plug it into the equation for slope intercept form:

$y=\frac{1}{2}x+b$

Now we need to find b.

As the equation of the line passes through (2, -6), we can use it to help solve for b

Substitute -6 as y and 2 as x:

$-6=\frac{1}{2}(2)+b$

Multiply

-6=1+b

Subtract 1 from both sides

-7=b

Substitute -7 as b into the equation:

$y=\frac{1}{2}x-7$

The equation can be left as that, or you can convert it into standard form if you wish.

In that case, you will need to move 1/2x to the other side:

$-\frac{1}{2}x+y=-7$

A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).

So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a

x-2y=14

Hope this helps!

8 0

3 years ago

One day for plumbers in five helpers earned $350. At the same rate of pay, another group of five plumbers and six helpers earned

schepotkina [342]

Answer: a plumber earns $50 each day and a helper earns $30 each day.

Step-by-step explanation:

Let x represent the amount that a plumber earns in a day.

Let y represent the amount that a helper earns in a day.

One day, four plumbers and five helpers earned $350. This means that

4x + 5y = 350 - - - - - - - - - - -1

At the same rate of pay, another group of five plumbers and six helpers earned $430. This means that

5x + 6y = 430 - - - - - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20x + 25y = 1750

20x + 24y = 1720

Subtracting, it becomes

y = 30

Substituting y = 30 into equation 1, it becomes

4x + 5 × 30 = 350

4x + 150 = 350

4x = 350 - 150

4x = 200

x = 200/4 = 50

3 0

4 years ago

A car drove 330 miles in 6 hours at a constant rate. If the car’s rate of travel slows by 10 mph, what is the new, slower rate o

12345 [234]

Answer:

45 mph

Step-by-step explanation:

Given: Distance travelled= 330 miles

Time taken= 6 h

Lets find out speed of car drove.

Formula; $Speed= \frac{Distance}{time}$

Speed= $\frac{330}{6} = 55\ mph$

∴ Car´s speed is 55 mph.

As we have been informed that car´s rate of travel slows by 10 mph

∴ we have to reduce the current speed of car by 10 mph; $(55-10)= 45\ mph$

The new slower rate of travel is 45 mph.

5 0

3 years ago