The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)
$360 $280 $64 $225
with explanation please ​

since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60[/tex]

Answer:

13.85kg

Step-by-step explanation:

7 3/4=7.75

2 1/2=2.5

3 3/5=3.6

7.75+2.5+3.6

=13.85kg

Answer:

  82 2/9 square meters

Step-by-step explanation:

The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.

  P = 2(L +W) . . . . . . formula for the perimeter of a rectangle

  38 = 2(L +W) . . . . . the perimeter is 38 meters

  (L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.

__

Dividing the first equation by 2 gives ...

  19 = L +W

Solving this for L gives ...

  L = 19 -W

Substituting for L in the second equation, we have ...

  (19 -W) -3 = 2(W -2)

  16 -W = 2W -4 . . . . . . . simplify

  20 = 3W . . . . . . . . . . . add W+4

  W = 20/3 . . . . . . . . . divide by 3

  L = 19 -20/3 = 37/3 . . . . find L from W

__

The area of the farm is the product of length and width:

  A = LW = (37/3 m)(20/3 m) = 740/9 m²

  A = 82 2/9 m²

The area of the farm is 82 2/9 square meters.

Answer:

No solutions.

Step-by-step explanation:

4x+8y=-11    (1)

X+2y=-7

Mutiply the second equation by -4:

-4x - 8y = 28

Now add this equation to equation (1):

0 + 0 = 17

which is absurd

So there are no solutions

Answer: 15x-5

Step-by-step explanation:

Answer:

21

Explanation:

To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).

f(5)=15+6

f(5)=21

Answer:

z = -4

Step-by-step explanation:

Given :

Solving :

Answer:

Step-by-step explanation:

The total shaded area = area of the square - area of a circle

= 9^2 - π * 4.5^2

= 17.3827

The 2 shaded parts both have area 8.69 unit^2 ( to nearest hundred)

Perimeter:

The perimeter of the top shaded part

= AB + 1/2 circmference of the circle

= 9 + 1/2 * 2 π r

= 9 + 14.137

= 23.14 units ( to nearest hundredth)

The bottom part has the same perimeter.

Answer:

Step-by-step explanation:

You want the perimeter and area of the part of a 9 cm square remaining after a semicircle is removed from two opposite sides.

The shaded area is the area of the 9 cm square less the area of a 9 cm circle. That area is ...

  A = s² -  π(s/2)² = s²(1 -π/4) . . . . . where s is the side length of the square

  A = (9 cm)²(1 -π/4) ≈ 17.38 cm²

The area is about 17.38 cm².

The perimeter is the circumference of the circle plus two sides of the square.

  P = C +2s

  P = πs +2s = s(π+2)

  P = (9 cm)(π+2) ≈ 46.27 cm

The perimeter is about 46.27 cm.

<95141404393>

Answer:

y=3x-2, The most difficult part is finding the m or slope. The easiest part is identifying the y-intercept

Step-by-step explanation:

Use the slope formula

First, -43-(-7) is the same as -43+7, which is equal to:-

-36

Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.

It is negative, because there's a minus sign next to it.

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

positive

Step-by-step explanation:

hope this helps.

check the template in the picture below, thus

[tex]y = \stackrel{A}{\cfrac{3}{2}}cot\stackrel{B\qquad C}{\left( \cfrac{3}{5}x + 0 \right)}+\stackrel{D}{5}~\hfill \stackrel{\textit{\Large Period}}{\cfrac{\pi }{B}\implies \cfrac{\pi }{~~ \frac{3}{5}~~}\implies \cfrac{5\pi }{3}}[/tex]

Answer:

Top is straight

Middle is reflex

Bottom is acute

Step-by-step explanation:

Straight is self explanatory

Reflex angles are greater than 180 and less than 360 degrees

Acute angles are under 90 degrees

Answer:

the very top one is straight.

8. reflex (because over 180 degrees)

9. acute (under 90 degrees)

Answer:

3 7/8 liters of rice

Step-by-step explanation:

[tex]1 \frac{5}{8} + 2 \frac{1}{4} [/tex]

[tex]1 \frac{5}{8} + 2 \frac{2}{8} = 3 \frac{7}{8} [/tex]

Answer:

200π cm³ (in term of π)

628 cm³ (when define π = 3.14)

Step-by-step explanation:

Given:

Volume of Cylinder:

[tex]\displaystyle \large{V=\pi r^2h}[/tex]

If you notice, the volume of cylinder is area of circular base * height.

Input given information in the formula:

[tex]\displaystyle \large{V=\pi \cdot 5^2 \cdot 8}[/tex]

Evaluate:

[tex]\displaystyle \large{V=\pi \cdot 25 \cdot 8}\\\displaystyle \large{V=200 \pi}[/tex]

Since all measurements are in centimeters. Therefore, our unit is cm³ since we are finding volume which is three-dimensional.

Fact

However, you didn’t specific which π value/digit should we use so I’ll only put both solutions in where first being in term of π and second being 3.14.

Therefore, the volume is:

Area = length x width

area of files = 30 x 20 = 600 square feet

area of unmoved field = 16 x 26 = 416 square feet

area that was mowed = 600 - 416 = 184 square feet

answer: 184 square feet

Answer:

184 ft

Step-by-step explanation:

so, for this, the key is the smaller dimentions on the inside, they are the area of the smaller inner rectangle (416 ft) and the bigger dimentions on the outside, are for the entire rectangle including the mowed area (600 ft), but you dont know the exact value of the mowed area, so you would simply subtract the areas (600-416=184) and that number, 184, is the area of the mowed area that you didnt know.

hope this helps

kleann

Answer:

Step-by-step explanation:

diameter = circumference / π

= 31/π

= 9.9 ins to nearest tenth

Answer:

 A. The student earned $18 for cleaning out his neighbor's garage.

Step-by-step explanation:

 Since it given that a student spend $18 for a haircut this week also means that she/he gave away $18 also known as -$18.

Thus, base on the given answer choices:

[A] is the only one that can make it positive.

Going through all answer choice:

A. The student earned $18 for cleaning out his neighbor's garage.

Earned = +

B. The student paid his little brother $18 for doing his chores.

Paid = -

C. The student purchased a gift for his mom for $18.

Purchased = -

D. The student gave $18 to a friend.​

Gave = -

Hence, Answer is A. The student earned $18 for cleaning out his neighbor's garage.

~lenvy~

Answer:

A. The student earned $18 for cleaning out his neighbor's garage.

Step-by-step explanation:

Since given that A student spent $18 for a haircut this week and asking for Which event, when combined with the student spending $18, will result in the student having $0 remaining

Thus, we know that spending is negative because we are using it so it -18

Base on the given answer choice below we can infer that

earned = +

Paid = -

Purchased = -

Gave = -

The only way to make it back with a $0 is to add $18

Thus the answer is A. The student earned $18 for cleaning out his neighbor's garage.

[RevyBreeze]

Answer:

It will cost $21.25

Step-by-step explanation:

We can use ratios to solve

8.50          x

--------   = -----------

100 kg      250 kg

Using cross products

8.50 * 250 = 100 x

Divide each side by 100

8.50 * 250/100 = x

21.25 = x

It will cost $21.25

Answer:

0.52

Step-by-step explanation:

[tex]batting \: average \: = \frac{39}{75} \\ = 0.52[/tex]

Surface area of a hemisphere would be best to estimate the amount of fabric necessary to make an umbrella.

A three-dimensional solid called a hemisphere is exactly half the size of a sphere.

To find the amount of fabric that is necessary to make the umbrella.

Since, the shape of umbrella is like hemisphere.

And to find the amount of fabric of umbrella would be equal to surface area of hemisphere.

Implies that,

Amount of fabric of umbrella = surface area of hemisphere.

Hence, option (D) is correct.

To know more about Hemisphere on:

https://brainly.com/question/23178590

#SPJ2

Let's solve this inequality.

First of all, subtract 8 from both sides:-

[tex]\sf{-3x < 20-8}[/tex]

[tex]\sf{-3x < 12}[/tex]

Divide both sides by -3:-

[tex]\sf{x > -4}[/tex]

Notice that the inequality sign changed...

Here's the rule:-

When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...

So these are the values of x that will make the inequality true:-

[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]

Well, -3 is greater than 4 :)

Let's plug it in and see if it makes the inequality true:-

-3>-4

Yes, it does make the inequality true :)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

The number of cars that are hybrid sedans are = 250 cars

The value of 30% of 1000 = 30/100× 1000

= 300 cars are not hybrids.

Therefore the number of cars that are hybrids = 300 - x

The value of 45% of 1000 = 45/100 × 1000

= 450 cars are not sedans

Therefore the number of cars that are sedans

= 450 - x

Where X is the cars that are both hybrid and sedans

Using the Venn diagram equation,

1000 = 300 -x + X + 450 - x

1000 = 750 - X

X= 750 - 1000

X = 250 cars

The number of cars that are hybrid is 300 - x where X = 250.

300 - 250 = 50 cars

The number of cars that are sedans is 450 - x. That is,

450 - 250 = 200 cars

Therefore, the cars that are both hybrid and sedans = 250 cars.

Learn more about Venn diagram equation here:

https://brainly.com/question/24581814

Answer:

See below ↓

Step-by-step explanation:

Problem

Work

Solution

Answer:

First find the inner angle:

[ given hypotenuse = 500 ft ]

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]

[tex]\hookrightarrow \sf x=sin(61)*500[/tex]

[tex]\hookrightarrow \sf x=437.3[/tex]

using pythagoras theorem:

Answer:

y = 242.4 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°

Using the sine trig ratio:

[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substitute given values and solve for y:

[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]

[tex]\sf \implies y=500sin(29)[/tex]

[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]

Answer:

2√13

Step-by-step explanation:

15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.

Answer:

Step-by-step explanation:

The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7

The height of the right triangle is 4 so now you have enought to solve for x

Givens

a = 7

b = 4

c = x

Equation

x^2 = b^2 + a^2

Solution

x^2 = 7^2 + 4^2

x^2 = 49 + 16

x^2 = 65               Take the square root of both sides

√x^2 = √65

Answer x = √65

Since AC = BC, we can say that this triangle is isoceles (at C)

In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.

Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/

Answer:

nearly like 63 or 66

Step-by-step explanation:

use the protractor.

Answer:

4/5

Step-by-step explanation:

the slope formula is y(2)-y(1)/x(2)-x(1) which is

-6-6/-9-6=

-12/-15=

4/5

Answer:

8 is between 2 and 3 but closer to 3

80 is between 8 and 9 but closer to 9

140 is between 11 and 12 but closer to 12

88 is between 9 and 10 but closer to 9

250 is between 15 and 16 but closer to 16

Step-by-step explanation:

Hope this helps :)

Answer:

total no. of students=30

pep club students =9

:=9/30 divide by 3

;=3/10

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.