The caterer charges $200 for the food and $10 per hour for service hours. How many hours did the caterer work if she was paid $270?

Answer:

y = - 4x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

Here m = - 4 and c = 7, thus

y = - 4x + 7 ← equation of line

Let's go through each statement to see if it is true or false.

=====================================

Integers are always whole numbers

This is true. Integers are numbers that don't have any fractional or decimal portion

=====================================

All whole numbers are rational

This is also true. Let's say we had the whole number 7. We can write it as 7/1 which is rational. A rational number is any number that can be written as a fraction of two integers. So this means any whole number can be converted to a rational number format.

=====================================

Integers include all rational members

This is false. It is true that all integers are rational, but there is more to the story than just integers when it comes to listing all rational numbers.

For instance, the number 1/2 is rational, but it is not an integer.

=====================================

Rational numbers do not include integers.

This is false. As stated earlier, any integer can be placed over 1 to form a rational number. So the rational numbers do include integers, among non-whole number fractions as well.

Answer:

D. 22.5

Step-by-step explanation:

By the property of intersecting tangent and secant outside of the circle, we have:

x° = 1/2[(4x+5)° - 50°]

2x° = [(4x+5)° - 50°]

2x° = (4x-45)°

2x = 4x - 45

45 = 4x - 2x

45 = 2x

x = 45/2

x = 22.5

The measure of the variable x will be 22.5°. Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that half of the difference between the angle (4x + 5)° and 50° will be equal to x°. Then the equation will be

x = [4x + 5 - 50] / 2

Simplify the equation, then we have

2x = 4x - 45

2x = 45

x = 22.5°

The measure of the variable x will be 22.5°.

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ5

Answer:

i is an imaginary number because i = [tex]\sqrt{-1}[/tex] and you can never take a square root of a negative number.  Because i is equal to [tex]\sqrt{-1}[/tex] when you square it it just removes the square root sign and gives you -1

Step-by-step explanation:

Step-by-step explanation:

think of it as this: i is an imaginary number, so a negative in a square root will be negative. so if you take away the squareroot, it leave you with -1. a square root is ^2 so i^2 is practically the same as a square root.

If someone can explain better, please do

Answer:

Every segment has infinitely many midpoints

Every segment has one perpendicular bisector

Every segment has infinitely many congruent segments

Every segment has one line that is perpendicular to it

Step-by-step explanation:

Segments in a plane: The term "segment" is determined as a specific part that is being cut-out from a particular figure, for example, a spherical or a circular figure through a plane or a line as one of the parts consisting of a "circular area" associated with an arc or its related chord by two distinct planes or lines.

Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

Answer:

Step-by-step explanation:

Sleep Deprivation

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.

(a) Identify the sample used in the study.

(b) What is the sample's population?

(c) Which part of the study represents the descriptive branch of statitics?

(d) Make an inference based on the results of the study?

Solution

A. The samples used is the hours of sleep and math test scores of the volunteers

B. The samples population is hours of sleep and math test scores of people in general

C. The part of the study that represent the descriptive branch of statistics is "three times more likely"

D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.

Answer:

[tex]m_1 = m_2 = 4[/tex]

Step-by-step explanation:

Given

[tex]y = 4x + 1[/tex]

[tex]y = 4x + 10[/tex]

Required

Show that these two lines have no point of intersection

The general equation of a line is

[tex]y = mx + b[/tex]

Where m represents slope

In [tex]y = 4x + 1[/tex]

[tex]m = 4[/tex]

Similarly; in [tex]y = 4x + 10[/tex]

[tex]m = 4[/tex]

Since the slope of both lines are equal;

[tex]m_1 = m_2 = 4[/tex]

This implies that the lines are parallel and parallel lines have no point of intersection

See Attachment for Graph

Answer:

- 1 -5 \sqrt(2) + 12i

Hoped I helped

Answer:

  $10.50

Step-by-step explanation:

If 2 pounds cost $4.20, then each pound costs $2.10. Five pounds will cost ...

  $2.10 × 5 = $10.50

Answer:

30.59

is your answer ............

Answer:

$104.1

Step-by-step explanation:

17.35 x 6 = 104.1

104.1 x 5 =520.5

520.5 x 2 = $104.1

Hope this helps!

Answer:

subtract 2, and add 5 repeatedly

Step-by-step explanation:

49, 47, 52, 50, 55

subtract 2, and add 5 repeatedly

49-2=47

47+5=52

52-2=50

50+5=55

55-2=53

53+5=58

and so on........

The pattern between these numbers is first subtracting 2 and then adding 5.

To find a pattern between a given sequence of numbers observe the sequence carefully and try to think about different arithmetic operations that can be suited for.

According to the given question we have to find pattern between these numbers 49, 47, 52, 50, 55.

After observing this sequence of numbers we can understand than they are in the sequence pattern of subtracting 2 and adding 5.

Now,

49 - 2 = 47.

47 + 5 = 52.

52 - 2 = 50.

50 + 5 = 55.

learn more about pattern between numbers here :

https://brainly.com/question/5214716

#SPJ2

Answer:

g(-3) = 0.012

or

D

Step-by-step explanation:

Step 1: Write out function g(x)

g(x) = x⁻⁴

Step 2: Define variable from problem

x = -3

Step 3: Plug in variable

g(-3) = (-3)⁻⁴

g(-3) = 0.012346

g(-3) ≈ 0.012

80 ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎

Answer:

80 :)

Step-by-step explanation:

Answer:

  y = (x -2)^2 +4

Step-by-step explanation:

Translation (right, up) by (h, k) gives you the function ...

  g(x) = f(x -h) +k

You want f(x) = x^2 to be translated right 2 and up 4, so it becomes ...

  y = (x -2)^2 +4

Answer:

it belongs to rational number......

Answer:

domain is the x axis points and range is the y axis points

Step-by-step explanation:

just mark the points on x axis and y axis then put them from left to right or bottom to top but i think you have the right answer there

Answer:

[tex] -ax - 20 = -14 [/tex] => [tex] x = -\frac{6}{a} [/tex]

[tex] 4 = \frac{6}{a}x + 5 [/tex] => [tex] x = -\frac{a}{6} [/tex]

[tex] 7 + 2ax = 13 [/tex] => [tex] x = \frac{3}{a} [/tex]

Step-by-step explanation:

[tex] -ax - 20 = -14 [/tex]

[tex] -ax - 20 + 20 = -14 + 20 [/tex]

[tex] -ax = 6 [/tex]

[tex] \frac{-ax}{-a} = \frac{6}{-a} [/tex]

[tex] x = -\frac{6}{a} [/tex]

[tex] 4 = \frac{6}{a}x + 5 [/tex]

[tex] 4 - 5 = \frac{6}{a}x + 5 - 5 [/tex]

[tex] - 1 = \frac{6}{a}x [/tex]

[tex] - 1*\frac{a}{6} = \frac{6}{a}x*\frac{a}{6} [/tex]

[tex] -\frac{a}{6} = x [/tex]

[tex] x = -\frac{a}{6} [/tex]

[tex] 7 + 2ax = 13 [/tex]

[tex] 7 + 2ax - 7 = 13 - 7 [/tex]

[tex] 2ax = 6 [/tex]

[tex] \frac{2ax}{2a} = \frac{6}{2a} [/tex]

[tex] x = \frac{3}{a} [/tex]

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will

take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

Answer:

The answer is (e)

Step-by-step explanation:

You know that the total time for one practice is (10+15+10+20+x). You can simplify that by adding like terms to get (55+x). You need that amount multiplied by three because he has 3 practices a week. so therefore you get 3(55+x). You distribute that three to both terms to get the simplest form which is 165 + 3x.

Answer:

0.75

Step-by-step explanation:

the simplified equation is 2x=1.5 / 2= x=0.75

Answer:

d=-4m + 28

Step-by-step explanation:

1. 1/4d +m+-m= 7 + -m

1/4d=- -m +7

2. divide doth sides

1/4d divide 1/4= -m+7 divide 1/4

d= -4m + 28

Answer:

90 degrees, 120 degrees and 150 degrees

Step-by-step explanation:

Given that three adjacent angles are at a point. The ratio of the measurements is 3:4:5. The angles should add to 360.

First add up all the ratio

3 + 4 + 5 = 12

For ratio 3

3/12 × 360 = 90 degree

For ratio 4

4/12 × 360 = 120 degree

For ratio 5

5/12 × 360 = 150 degree

90 + 120 + 150 = 360 degree.

The angles are therefore, 90 degrees, 120 degrees and 150 degrees

Answer:

A : D

4 : 3

Step-by-step explanation:

We'll use the first letter of their names as the heading for the ratio.

The first line states:

A : B

2 : 1

The second line states:

B : C

1/3 : 1

The third line states:

C : D

2 : 1

We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.

Let's look at the ratio with a fraction first.

B : C

1/3 : 1

If we ×3 throughout, this can also be written as:

B : C

1 : 3

Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:

A : B : C

2 : 1 : 3

In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.

C : D

2 : 1

6 : 3

A : B : C

2 : 1 : 3

4 : 2 : 6

We can see that our ratio for C is the same number and we can now combine the ratios.

A : B : C : D

4 : 2 : 6 : 3

The question asked for A : D so we can take just the values of A and D.

A : D

4 : 3

I hope this helps :)

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

x-3. eq 1

x+1 eq 2

4x-2 eq 3

Add equation 1 ,2 ,3

[tex]\blue\star[/tex]x -3 + x +1 +4x-2 =0

[tex]\blue\star[/tex]6x - 4 = 0

[tex]\blue\star[/tex]x = 4/6

[tex]\blue\star[/tex]x = 2/3

Hope it helps

Hope it help

Answer:

-13

Step-by-step explanation:

{(-4)² + (-2)(-5)} / -2

= {16 + 10} / -2

= 26 / -2

= -13

Answer:

solution set={35/3}

Step-by-step explanation:

--3(x+5)=50

3x+15=50

3x+15-15=50-15

3x=35

3x/3=35/3

x=35/3=11.66

solution set={35/3}

hope it will help ^_^

Answer:

B. x = 7/2 or x=-1/3

Step-by-step explanation:

You know both angles 6x² and 19x+7 have to be the same, so you can solve

6x² = 19x+7

6x² - 19x - 7 = 0

apply the quadratic formula and find

x = -1/3 or x = 7/2

now think carefully if the negative x is a realistic solution. It would lead to the angles being (2/3)°. This is not what the picture suggests, but it is also not wrong, so answer B seems the best.

Answer:

8. B

Step-by-step explanation:

"More than twice...-

2x

complement

90

"23 is more"-

+ 23

put it all together-

2x + 23 = 90

Angle E is 33.5 or 34 once you find the value of x

Now subtract this from 180 to find the other angle

180 - 34 = 146