What is the sum? . . .

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:

Step-by-step explanation:

To estimate the sum of 56.7 and 23.44 using the front-end method, you can round each number to the nearest whole number and then add them together. This will give you an estimate of the sum that is close to the actual result.

Using this method, you would round 56.7 to 57 and 23.44 to 23, and then add them together to get an estimate of 80. This is a reasonable estimate of the sum of 56.7 and 23.44, which is actually 80.14.

Note that this method is not as accurate as using a calculator or performing the exact calculation, but it can be a useful tool for quickly estimating the sum of two numbers.

Answer:80

Step-by-step explanation: 56.7 when rounded is 57 and 23.44 rounded is 23 so 57+23 is 80

Answer: 976 1/2 IN 3

Step-by-step explanation:

the figure is a rectangle the formale forcalculating the volume of a rectangle bady is the product of the length, width and height. so v=10 1/2 x 7 3/4 x12 = 21/2 x 31/4 x12 = 1953/2 = 976 1/2 IN 3.

hope this helps!

Answer: The ratio is 18:3

Step-by-step explanation:

Answer:  6 to 1

Step-by-step explanation:

A ratio refers to a fraction. In this case the question asks how many players to coaches there are.

The word "to" means that is where the fraction bar goes.

Players/Coaches

There are 18 players and 3 coaches.

18/3

18 can be divided by 3, 6 times so the fraction can be simplified to

6/1 meaning there are 6 players for every coach.

Answer:

Profitable, you make money from it.

Step-by-step explanation:

In this sentence, there is no sort of disagreement or talk about salary, and the word perfect does not fit the sentence structure.

Profitable, you make money from it. is the correct answer because the speaker is saying, "Looks like my internet business is (pretty lucrative)..."

-lucrative means profitable.  Therefore the speaker is talking about how his business is successful, and doing well at the moment.

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer:

No, he is not correct. The initial value is 3, and the rate of change, or in graphing, the slope, is -5.

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer: 25% decrease in number of boxes of goods

Step-by-step explanation:

If you want to find a percent of a number you turn the percent into a decimal

Example:

Step 1

25% of 748

Step 2

0.25*748=561

Answer:

a=360

b=168

Step-by-step explanation:

a=5×12×12/2=5×12×6=360

b=2×12×12×(12-5)/10×12=2×12×7=14×12=164

Answer:

The first equation is true. The second equation is not true.

Answer:

  Large gear: 2 revolutions, 24 teeth

  Small gear: 3 revolutions, 24 teeth

Step-by-step explanation:

You want the number of teeth that have touched when a 12-tooth gear and an 8-tooth gear turn until they have the same relative position as when they started.

The least common multiple (LCM) of 8 and 12 is the smallest integer that is a positive integer multiple of both these numbers. That value is ...

  24 = 8·3 = 12·2

It is often found quickly by making use of your knowledge of multiplication tables.

The LCM can be found by looking at the unique factors of the numbers, taking each to the highest of the powers:

  8 = 2³

  12 = 2² × 3

Among the factors 2 and 3, the highest powers are 2³ and 3¹, so ...

  2³ × 3¹ = 24

is the LCM.

The LCM is also the product of the numbers, divided by their greatest common factor (GCF):

  LCM(8, 12) = 8·12/4 = 24

__

Additional comment

The problem statement is telling you to look for the same number in the two right columns of the table. That number is 24. It goes in the blanks at the bottom.

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:192

Step-by-step explanation:look up 96 fl oz to tablespoons and it will give you a calculator.

Do you still need the answer, because im working on the same question..

Answer:

Fredrick's recipe will make 10 whole loaves & There will be less flour left over if Fredricks recipe is used

Step-by-step explanation:

Fredrick's recipe

17 1/3 ÷ 1 5/8 = 10 2/3

Kate's recipe

17 1/3 ÷ 1 3/4 = 9 19/21

So Fredrick's recipe will make 10 whole loaves

9 19/21 is less than 10 2/3 so there will be less flour left over if Fredricks recipe is used

Answer:

45

70

36

52

20

130

Step-by-step explanation:

complementary means it adds up to 90 degrees.

subtract that angle from 90 to get the complementary angle

supplementary angles add up to 180 degrees

subtract that angle from 180 to get the supplementary angle

Answer:

1) 45

2) 60

3) 36

4) 52

5) 20

6) 130

Step-by-step explanation:

In the first 3 questions, it's asking us for a complementary angle to the given angle.  A complementary angle is when 2 angles add up to 90 degrees.  So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45.  Continue to subtract from 90 for the next 2 problems.

In questions 4-6, we are asked to find an angle that is supplementary.  A supplementary angle is when 2 angles add up to 180 degrees.  We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees.  Continue subtracting from 180 for the next 2 problems.

Hope this helps! :)

Answer:

Function

Step-by-step explanation:

When putting a vertical line down the center it doesn't intersect the graphed line more than once

Answer:

function

Step-by-step explanation:

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

To determine whether a sampling is random or biased, we need to know how the sample was selected. Here are three possible scenarios:

Ranger 1 stands at the entrance to the park and surveys the first 100 visitors who arrive.

This sampling is biased, as it only includes visitors who arrived early in the day. Visitors who arrive later in the day may have different characteristics or behaviors, so this sample may not be representative of all park visitors.

Ranger 2 selects every 10th visitor who enters the park and surveys them.

This sampling is random, as every 10th visitor is selected without bias. This method is called systematic sampling.

Ranger 3 surveys visitors who are leaving the park on a rainy day.

This sampling is biased, as visitors who come to the park on a rainy day may have different motivations or behaviors than visitors on a sunny day. This sample may not be representative of all park visitors.

In summary, sampling methods that are random, such as systematic sampling, are preferred over biased sampling methods in order to obtain a representative sample of the population of interest.

Answer: Depending on the situation

Step-by-step explanation: For a sample to be random, everyone/thing has to have an equal chance of getting selected. Ex. One of the park rangers asked everyone in one part of the park. - This example would be biased because the people who weren't in that part of the park had less of a chance of being picked

Answer:

397

Step-by-step explanation:

Answer:

13) x ≥ 50/3

14) see attached graph

15) Yes

Step-by-step explanation:

The equation relating the number of sales and pay is given by

y = 50 + 3x  where x is the number of sales.

Q 13

If you need your pay to be exactly 100 then the above equation translates to 50 + 3x = 100

If you want the sales to be at least 100 then the above equation becomes an inequality 50 + 3x ≥ 100
We can re-write this as x ≥ 50/3

Q 14

See attached graph

x = 50/3 is a vertical line passing intersecting the x axis at x = 50/3(16.67)

All values of x ≥ 16.67 forms the region for the inequality

Q 15

Substitute -3 for n in the equation n(34-n) and check whether it satisfies the inequality

(-3)(34 - (-3)) = (-3)(37) is a negative number. (You don't actually have to calculate it but it works out to -111. ) Therefore it satisfies the inequality
n(n-34) < 111 Answer: YES

Answer:

13. x ≥ 50/3

14. attached graph

15. Yes

Step-by-step explanation: