The length of a rectangle is 2 ft shorter than 5 times its width, x. The area of the rectangle is less than 100 f12.

Which inequality can be used to determine the maximum width (ft) of the rectangle?

A. 5x2 – 2x < 100

OB. 5x2 - 2x > 100

O C. 5x2 + 2x > 100

D. 5x2 + 2x < 100




HELPPP PLS!!

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Area of rectangle  = length x width

length = 5x - 2

width = x

area = (5x - 2) × x

100 = 5x² - 2x

the width would be less than the area of the rectangle, thus the inequality sign to be used is <

5x² - 2x < 100


Related Questions

What is the volume, in cubic inches, of a basketball with a diameter of 9 inches?
A.121.5π
B.273.4π
C.324π
D.972π

Answers

Answer:

the answer is c

C.324π

Camila has two summer jobs. During the week she works in the grocery store, and on
the weekend she works at a nursery. She gets paid $20 per hour to work at the
grocery store and $21 per hour to work at the nursery. How many total hours does
she work if she does 10 hours at the grocery store and 6 hours at the nursery? How
many total hours does she work if she does g hours at the grocery store and n hours
at the nursery?

Answers

Answer:

Camila works 16 hours if she does 10 hours at the grocery store and 6 hours at the nursery.

Camila works g+n hours if she does g hours at the grocery store and 6 hours at the nursery.

Step-by-step explanation:

1. Add up the grocery store hours and the nursery hours together.

10+6=16

g+n=g+n

Please rate this answer Brainliest!

x * 0.77 = 26
Solve for x.

Answers

Answer:

x = ~33.77

Step-by-step explanation:

divide .77 on both sides.

x = 26/0.77 = 33.766234 rounded to the nearest hundredth is 33.77.

lets check our answer by plugging it in:

33.77 * 0.77 = 26.0029 which is close enough

24 : 56 is equivalent to 3 : __

Answers

Answer:

3 : 7

Step-by-step explanation:

24/56 = 3 / 7

Answer:

3:7 helpful answer to your question have a nice evening

what is the degree of polynomial x^2y^2+y^3+4?

Answers

Answer:

The degree of the polynomial ≈ 4

Step-by-step explanation:

The degree of a polynomial, is given by the highest value of the sum of the exponents (powers) of the of the variables (monomials) that are present in the polynomial expression

The given polynomial expression is x²·y² + y³ + 4

The sum of the exponents; 2 + 2 = 4, and 3

The sum of exponents 4 > 3

Therefore, the degree of the polynomial = 4.

Evaluate the following f(x) = x^2 - 6 for f(4)

Answers

Answer:

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

Answer: f(5) = 14

Step-by-step explanation:


[tex]given \: f(x) = \frac{4x - 10}{x - 2[/tex]
determine the x and y intercept of f​

Answers

Given :-

f(x) = 4x - 10/ x -2

To Find :-

x and y intercept .

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

For finding x intercept , substitute y = 0 .

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

x = 2.5

For finding y intercept , put x = 0 .

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

y = 5

x intercept = (2.5,0)y intercept = (0,5)

Order the integers from least to greatest. 4, –4, –2, 2, –8

Answers

answer:
-8, -4, -2, 2, 4

hope this helps

Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?

−12
−4
3
12

Answers

Answer:

3

X is slope but the equation isnt set up proper

12x-4y=3

-12x -12x

-4y=-12x+3

/-4 /-4

y= 3x+3/-4

Answer:

3

Step-by-step explanation:

Find the median of 3,4,6,2,2,9,2,10

Answers

The answer is 4.75 you just need to add all of the numbers and then divide it to the total sum :)

Carry On Learning (◕ᴗ◕✿)

To find the median or middle, first put the numbers in order from least to greatest.
2,2,2,3,4,6,9,10
Then find the middle number. This set has two numbers since it is an even amount. 3,4
So you add those numbers
3 + 4 = 7
Then divide by 2
7/2 = 3.5
3.5 is the median for this set

I always think of the median of a highway. It is in the middle between both sides.

factorise fully the expression 2d^2-7d

Answers

Answer:

d(2d-7)

Step-by-step explanation:

2d^2 -7d

take common

=d(2d-7)

Answer :

[tex] \large \boxed{ \rightarrow d(2d - 7)}[/tex]

Solution :

[tex] \rightarrow2d {}^{2} - 7d[/tex]

[tex] \rightarrow d(2d - 7)[/tex]

[tex] \mathfrak{hope \:it \: helps \: you.....}[/tex]

Name the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right triangles created by the altitude MN.

Answers

Answer:

Step-by-step explanation:

Answer:△LMK △MNK △LNM

im pretty sure thats it

At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
please don't leave a link just answer

Answers

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

4/10 + 5/100
Pls help now

Answers

Answer:

4/10 + 5/100=  9/20

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

reduce the fraction with 2

4/10+5/100

2/5+5/100

2/5+1/20

write all numerators above the least common denominator 20

8+1/20

8+1=9

9/20

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP PLSSS

Answers

Answer:

63

Step-by-step explanation:

mark me brainliest plzzz

[tex]\sf\purple{The\:value\:of\:x\:is\:63.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{3}{8} = \frac{x}{168} \\ \\ ✒ \: \frac{3 \times 168}{8} = x \\ \\ ✒ \: \frac{504}{8} = x \\ \\✒ \: 63 = x[/tex]

Therefore, the value of [tex]x[/tex] is 63.

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex] \frac{3}{8} = \frac{63}{168}\\ \\✒ \: 0.375 = 0.375 \\ \\✒ \: L.H.S.=R. H. S [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise?

Answers

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

The terminal side of θ in standard position contains the point (3, 0). Find the exact values of the six trigonometric functions of θ

Answers

[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]

[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]

A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?

Answers

Answer: [tex]17.4\ \text{miles}[/tex]

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]

¿¿ Cuanto es "6 + -7 - (-8) + 4 – 2" ??

Answers

Answer:

9

Step-by-step explanation:

Do it left from right.

[6+-7]-(-8)+4-2

[-1-(-8)]+4-2=[-1+8]+4-2

[7+4]-2

11-2

9

I don't know Spanish/what laugnange you speak sorry.

Of 100 staff member of school 48 drank coffee 25 drank both tea and coffee and every one drinks either coffee or tea . How staff member of drank tea.

Answers

Answer:

27

Step-by-step explanation:

Number of member of staff that drank tee = total number of member of staff - number that drank coffee - number that drank both tea and coffee

100 - 48 - 25 = 27 members of staff

Please help thank you! Sorry for spamming

Answers

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

The probability that austin's company uses the local shipping service for a package is 0.650. The probability that the local shipping service will deliver the package on time is 0.980. If a package is selected at random from austin's company, what is the probability that she uses the local shipping service and that the package will not be delivered on time?

Answers

Answer:

0.013

Step-by-step explanation:

First, work out the probability that the package won't be on time:

1 - 0.980 = 0.020

Then, multiply this amount with the probability the company will choose the local shipping service:

0.650 x 0.020 = 0.013

Acellus
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
Help Resources
r = 4 cm
4 √2 cm
[?]%
Round to the nearest tenth of a percent.
Enter

Answers

Answer:

The Probability is 63.7%

Step-by-step explanation:

We need to calculate the area of the circle and the area of the square

From the question, we can see that the square is of side 4 √2 cm

The area of the square is simply the square of its side length

We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2

The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm

So, we have the area of the circle as;

Pi * r^2

= 22/7 * 4 * 4 = 50.3 cm^2

so, to find the probability, we need to divide the area of the circle by the area of the square

we have this as;

32/50.3 = 0.6366

In percentage, we simply multiply by 100% to give

0.6366 * 100% = 63.66%

To the nearest tenth, this is 63.7%

what is 9/7 - 1/6= answer ​

Answers

Answer:

tht's just the answer

Step-by-step explanation:

9/7 is equal to 54/42 and 1/6 is equal to 7/42

54/42 - 7/42 is equal to 47/42

Answer:

47/42

Step-by-step explanation:

First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.

9/7 * 6/6 = 54/42

1/6 * 7/7 = 7/42

54/42 - 7/42 = 47/42

What can you tell about a triangle when given three side lengths?

What can you tell about the relationship between the angles of a triangle and its sides?

Answers

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Step-by-step explanation:

PLS HELP ILL MARK BRAINLIEST Complete each sentence with minimum or maximum and the corresponding numeric values. The _____________ value of f(x) = –|x – 4| – 5 is __________ when x = _________ . The _______ value of f(x) = x2 – 2x +­ 1 is ___________ when x = _________ .

Answers

Answer:

Step-by-step explanation:

1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4

2) the minimum value of f(x) = x2 – 2x +­ 1 is  0 when x = 1

I will give brainliest<3 help pleaseee

Answers

Answer:

24

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Solve for x
-2(x+3) < 10

Answers

Answer:

x < -8

Step-by-step explanation:

-2(x+3) < 10

-2x -6 < 10

-2x < 10 + 6

-2x < 16

x < 16/-2

x < -8

the answer for the problem is x< -8

Need help with this??? Please!!!

Answers

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

Determine the volume of the picture below. Please help

Answers

the answer to this question is D

Answer:

6825 in

Step-by-step explanation:

Since the shape is a composite figure, we need to break it up into 2 shapes!

Rectangle and a triangular prism

Solving for Rectangle...

Volume = Length · Width · Height

Volume = 30 · 13 · 13

Volume = 5070 in

Solving for Triangular Prism

Volume = Length · Width · Height / 2

Volume = 30 · 9 · 13 / 2

Volume = 3510/2

Volume = 1755 in

Finally, add the volumes!

5070 + 1755 = 6825 in

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