Explain two ways you can benchmark percents to find 60% of 280

Answers

Answer 1

Answer:

The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.

To find 60% of 280 we first find 10% of 280 which is 28. 6 x 28 = 168.

To find 60% of 280 we first find 50% of 280 which is 140. Now we add 10% which we calculated before: 140 + 28 = 168.

Answer 2

Answer:

Step-by-step explanation:

Explain two ways you can benchmark percents to find 60% of 280

1) 280 : 100 * 60 = 168

2) 280 * 0.6 = 168


Related Questions

Evaluate each expression.
12
N
3
(2511)
-
DONE

Answers

Answer:

1/5

Step-by-step explanation:

[tex](25^{-3/2})^{1/3} = 25^{-3/2*1/3} = 25^{-1/2}=5^{-1/2*2}=5^{-1}=1/5[/tex]

Let's evaluate the expression,

→ (25^-3/2)^1/3

→ 25^-3/2×1/3

→ 25^-3/6

→ 5^-1/2×2

→ 5^-1 {or} 1/5

Hence, the answer is 1/5.

Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?

Answers

Answer:

i think 9900

Step-by-step explanation:

225x20 = 4500

180x30 = 5400

5400+4500 = 9900

What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)

Answers

Answer:

B. (-2,3)

Explanation:

First, we'll turn both lines to slope-intercept form:

x + 3y = 7

Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.

3x + 2y = 0

Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.

Now you can graph (I did it for you above⤴⤴⤴).

Hope this helps you :)

The function c(h)= (20h)/(h^2+2) models the concentration of a medication in the bloodstream h hours after it’s injection into the muscle tissue.


-Does the graph have a vertical asymptote? If so, give the equation of the vertical asymptote and explain why this would be a concern or not. If the function does not have a vertical asymptote, explain why.


-Find the horizontal asymptote, what does it mean in the context of this problem?


-Does the function cross the horizontal asymptote? Does it make sense in the relation to this problem?


I have the answers, I just don’t understand how to explain them in the context of the problem.

Answers

Answer:

Step-by-step explanation:

What’s it’s answer I am wonder

Find the derivative of the function y = ln(3t+4)

Answers

Answer:

3 / (3t+4) is the answer

what is the additve inverse of 9/10

Answers

Answer is -9 litterly just take a postive and make it into a negative

Let f(x)=3x-8 and g(x)=x^2+4.
Find f(g(-2)).

Answers

Answer:

16

Step-by-step explanation:

Given:

f(x) =3x - 8 and g(x) = x² + 4f(g(- 2)) = ?

First find g(- 2):

g(- 2) = (-2)² + 4 = 4 + 4 = 8

Find f(8):

f(8) = 3*8 - 8 = 24 - 8 = 16

g(-2):-

[tex]\\ \sf\longmapsto (-2)^2+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]

[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]

[tex]\\ \sf\longmapsto 3(8)-8[/tex]

[tex]\\ \sf\longmapsto 24-8[/tex]

[tex]\\ \sf\longmapsto 16[/tex]

The Washington High key club is selling brownies and chocolate chip cookies to raise money. Their table only has room for 100 baked goods. Previous bake sells has taught them to plan to bake at most 30 brownies and at least 50 cookies. Write and graph a system of inequalities to represent the possible number of baked goods.

Answers

Step-by-step explanation:

Let x - brownies, y - cookies.

According to given w have following inequalities

Their table only has room for 100 baked goods:

x + y ≤ 100

Plan to bake at most 30 brownies and at least 50 cookies:

x ≤ 30y ≥ 50

See attached for the graphical solution

The solution is within the marked boundaries.

third degree with zeros of − 3 −1 and 5 and a y-intercept of − 10

Answers

Answer:

What are you asking? Yeah I know that but what do you need to know?

Step-by-step explanation:

Two polygons are similar. The corresponding angles of the polygons are- A congruent B proportional C regular D similar​

Answers

9514 1404 393

Answer:

  A congruent

Step-by-step explanation:

In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.

What is 3.59 rounded to the nearest whole number?

Answers

Answer:

its 4 ezy

Step-by-step explanation:

please mark as brainlists

Will the answer to the addition problem below be odd or even?
2156 +992 = ?

Answers

Answer:

Even

Step-by-step explanation:

When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.

Even l, because 2156+992=3148, and thats even


Help me please ………..

Answers

Answer:

Step-by-step explanation:

Answer:

<QSR = 55°(180°-125°)

Step-by-step explanation:

therefore, p-8=55°

p=(55+8)° = 63°.

hope this helps you.

Select the correct answer.

Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?

A. point U

B. point V

C. point W

D. point X


Answers

Answer:

the answer is A. point U

or it's point W

What are the equivalent ratios to 6:5

Answers

Ratio of 6 to 5

A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11

Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.

6:5

12:10

18:15

24:20

30:25

36:30

42:35

48:40

54:45

60:50

66:55

72:60

Admission to a baseball game is $2.50 for general admission and $5.00 for reserved seats. The receipts were $3667.50 for 1109 paid admissions. How many of each
ticket were sold? (Round to nearest integer if necessary.)

Answers

The general admission tickets sold are 1467 and the number of  reserved seats tickets sold is 358.

Two equations would be derived from the question:

$2.50a + $5b = $3667.50 equation 1

a + b = 1109 equation 2

Where:

a - number of people for the general admission

b = number of people for the reserved seats

To determine the value of b, take the following steps:

Multiply equation 2 by 2.5

2.5a + 2.5b = 2772.50 equation 3

Subtract equation 3 from 2

2.5b = 895

Divide both sides by 2.5

b = 358

In order to determine the value of a, substitute for b in equation 2

358 + a = 1109

a = 1109 - 358 = 1467

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

list all counting numbers which leave a remainder of 4 when divided by 22.

Answers

Answer:

0.1818

i hope it helped you :)

mark brainliest

help me please someone

Answers

Answers:Part A) Solution is (-3,-3)Part B) Two solutions are (0,0) and (2,2)Part C) Solution is x = -6

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

Explanation:

Part A

Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.

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

Part B

Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).

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

Part C

Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.

Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular orbit, centered at the origin with a diameter of 100. The comet follows a parabolic path with directrix x = 70 and vertex at (60, 0).


Part A: Write the equation of the planet's orbit in standard form. Show your work. (2 points)


Part B: Write the equation of the comet's path in standard form. Show your work. (4 points)


Part C: Identify all points where the planet's orbit intersects the path of the comet. Show your work and round answers to the hundredth place. (4 points)

Answers

The equation of the circular orbit and the parabolic path of the comet are

given by the center, diameter, vertex, and directrix.

Part A: The equation of the planet's orbit is; x² + y² = 50²

Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: The planet's orbit and the comet's path do not intersect.

Reasons:

Part A: The center of the orbit = The origin (0, 0)

The diameter of the orbit = 100

Therefore;

[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]

The radius of the planet's orbit, r = 50

The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²

Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²

Which gives;

x² + y² = 50²

Part B: The directrix of the parabolic path is x = 70

The vertex = (60, 0)

Therefore, -p = 70

[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]

Which gives;

[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]

[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]

The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: At the point where the path intersect, we have;

[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]

Therefore;

[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]

Let y² = a, we get;

[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]

a ≈ -2015.693 and a ≈ -42784.31

y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)

The planet's orbit does not intersect the path of the comet.

Learn more here:

https://brainly.com/question/20743199

PLEASE HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

7.11[tex]\leq[/tex]-7.1

Step-by-step explanation:

Answer:

Question 1- C. 7.11 > -7.1

Question 2- True

Question 3- -3 < -1 and -3 ≤ -1

Question 4- I don't know

Question 5- {3,4}

Step-by-step explanation:

I ran it through the calculator only on question 4 I didn't know the answer

-Rocketgamer360

geometry B: fill in the blank

Answers

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

What are the solutions of x2 - 2x + 10 = 0 ?

Answers

Answer:

Step-by-step explanation:

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

1

0

=

0

x

2

2

x

+

10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

2

b

=

2

b=−2

=

1

0

c

=

10

c=10

=

(

2

)

±

(

2

)

2

4

1

1

0

2

1

x

Answer:

C. x=1+3i, x=1-3i

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]

Elli left home8:30 and returned at 1:25how long was she away from home?














Answers

Answer:

3 hours and 45 minutes assuming its from am to pm

Step-by-step explanation:

Hope This Helps

4 hours and 55 Minutes

Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?

Answers

4 3/8ths ribbon is the total

What is 6 3/4 percent of 800

Answers

Answer:

answer is 746.

have a nice day and do good in math

$49.95 gloves 5 1/4 % markup

Answers

Answer:

1234567891011121314151617181920

PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula

Answers

X1=2-Square root 5 x2=2+ Square root 5

2x ( x - 2x) = 1

2x= 1

x = 0.5

x-2x = 1

-x = 1

x = -1

can someone heelp me

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Guide}\downarrow\\\large\text{10's = X}\\\large\text{20's = XX}\\\large\text{30's = XXX}\\\large\text{40's = XL}\\\large\text{50's = L}\\\large\text{60's = LX }\\\large\text{70's = LXX}\\\large\text{80's = LXXX}\\\large\text{90's = IX}\\\large\text{100's = C}\\\large\text{200's = }CC \\\large\text{300's = CCC}\\\large\text{400's = CD}\\\large\text{500's = D}\\\large\text{600's = DC}\\\large\text{700's = DCC}\\\large\text{800's = DCCC}\\\large\text{900's = CM}\\\large\text{1,000's = M}[/tex]

[tex]\large\textsf{NOW THAT WE HAVE THAT GUIDE/INFORMATION OUT OF}\\\large\textsf{THE WAY, WE CAN ANSWER YOUR GIVEN QUESTION.}[/tex]

[tex]\huge\text{1,052 = \boxed{\rm{\bold{M}LII}}}\huge\checkmark\\\\\\\\\huge\text{450 = \boxed{\rm{\bold{CD}L}}}\huge\checkmark\\\\\\\huge\text{952 = \boxed{\rm{\bold{CM}LII}}}\huge\checkmark\\\\\\\huge\text{942 = \boxed{\rm{\bold{\bold{CM}}XLII}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which of these lenders will make a very short-term loan based on proof of
employment?
A. Title lender
B. Bank
C. Credit union
D. Payday lender

Answers

I believe the answer is D

Find x.
Multiple choice.
8, 9, 10, 11

Answers

Answer:

Step-by-step explanation:

As RS is a straight line sin ∠RUT = sin ∠SUT

line UT bisects ∠RTS

Let θ be ∠UTR and ∠UTS

Law of sines

Left side triangle

3x/sinθ = 40/sinRUT

sinRUT = 40sinθ / 3x

Right side triangle

(x + 2) / sinθ = 16 / sinSUT

(x + 2) / sinθ = 16 / (40sinθ / 3x)

(x + 2)(40sinθ / 3x)  = 16sinθ

(x + 2)(40sinθ)  = 48xsinθ

40xsinθ + 80sinθ = 48xsinθ

40x + 80 = 48x

80 = 8x

x = 10

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