Answer:
20 newspapers
Step-by-step explanation:
First create an equation.
y = 0.75x + 45
Now substitute 60 y and solve for x.
60 = 0.75x + 45
60 - 45 = 0.75x + 45 - 45
15/0.75 = 0.75x/0.75
x = 20 newspapers
A shipping box has to have specific dimensions to hold an item. The volume must be 7500 cubic inches. The length must be 5 times the width and the height must be 5 inches more than the width. Give the dimensions of the box below. Give your answers as whole numbers or decimals rounded to 1 decimal place.
The dimension of the box is 50in by 10in by 15in
How to calculate the volume of a figureThe volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
Factorize to determine the width
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
Get the height
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
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What are the roots of the quadratic equation y=x^2 -10x +125?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
[tex]x=5\pm10i[/tex]
Step-by-step explanation:
[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]
Jake drew the sketch below of a kite that he wants to make.
A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.
area =
cm2
Answer:
Part A: 2 (20 × 50) + 2(20 × 10)
Part B: 1200 cm²
Step-by-step explanation:
Part A:
2 (20 × 50) + 2(20 × 10)
= 2(1000) + 2(200)
= 2000 + 400
= 2400
Part B:
Divide the answer by 2.
= 2400/2
= 1200 cm²
Because the formula to find the area of a kite is
1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.
What is the area of this figure? 4 cm 5 cm 5 cm
Answer:
100
Step-by-step explanation:
5*5*4=100
Can anyone please solve this? I need it to be right.
Answer:
65
Step-by-step explanation:
[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]
Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.
He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a
pair of shorts. He must design at least 12 items each day, but he cannot
design more than 20 items in one day. Which set of inequalities below
represents this scenario?
A. S 2 12-tss 20 - ts 12 -0.25t, s 2 0; t2 0
B. s2 12-t, ss 20-t, ss 12 -0.25t, s 0;t20
O C. s2 12-t s2 20-t ss 12 -0.25t, s 2 0;t2 0
D. s2 12+ tss 20 + tss 12 -0.25t, s 0,20
Answer:
The correct option is;
B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t
Step-by-step explanation:
The set of inequalities below represents this scenario s ≥ 12 - t,
s ≤ 30 - t, s ≤ 24 - 0.66·t
We have given that,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day.
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
lets t=times
s=shorts
We have to determine the correct inequality so that we will get,
The correct option is;
s ≥ 12 - t,
s ≤ 30 - t,
s ≤ 24 - 0.66·t
Therefore option B is correct.
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Help!
1. In ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?
Use ≈3.14 and round your answer to the nearest whole number.
2. Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?
Use ≈3.14 and round your answer to the nearest whole number.
3. Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
____ times the volume of the cone.
The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
What is the volume of a cone and cylinder?
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]
where;
radius = 2.5 inchesheight = 9 inches[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]
[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]
[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]
= 3
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(40 POINT REWARD)
Find the measure of angle b.
(Picture below.)
Answer:
b= 26 degrees
Step-by-step explanation:
A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.
62 is the gap and also the value of the whole angle b+36.
Subtract 36 from 62 to get b.
62-36 = 26 degrees
Your answer!
find the vertical asymptote(s).
Answer:
x = 1
Step-by-step explanation:
To find the vertical asymptote(s) we set the denominator to 0, but first we have to factor and simplify the function
[tex]f(x)=\frac{(x+1)(x-7)(x+10)}{(x-1)(x-7)(x+10)}[/tex]
step 1 the function is already factored so we just have to simplify it by canceling like terms
[tex]f(x)=\frac{x+1}{x-1}[/tex]
step 2 set denominator to 0 and solve for x
x - 1 = 0
step 3 add 1 to both sides
x = 1
Answer: x = 1
By "doing the math" from the function given:
Given:
[tex]f (x) =\displaystyle \frac{(x+1)(x-7)(x-10)}{(x-1)(x-7)(x-10)}[/tex]
Terms in both the numerator and denominator are equal to 1:
[tex]f (x) =\displaystyle \frac{(x+1)}{(x-1)}[/tex]
We cannot have a denominator equal to 0, because you cannot divide by 0, so the vertical asymptote is x = 1 since 1 - 1 = 0. This can also be found by setting the denominator equal to 0 and solving for x.
By graphing:
A vertical asymptote, put simply, is a vertical line "within" the domain, but not a part of the graph. I will graph the equation given and see what we come up with.
-> See attached
Either way, the answer to your problem is:
x = 1
Frank, Steven, and Daniel share 4 pizzas equally. How much pizza will they each get?? please explain in division expression and fraction work if you want and the sentence PLSPLSPLSPLSPLSPLSPLSPLSPLSPSLSLS
Answer: They both will get 2 pizzas
Step-by-step explanation: 4 divided by 2
The table shows the possible outcomes of spinning the given
spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a
head.
5
3
4
1 2 3 4 5
h1,
h2,h 3, 4, 5,h
t 1, 2, 3, t4, t5,t
the probability of spinning a 1 and tossing a head is
Spinning the spinner and tossing the coin is an illustration of probability
The probability of spinning a 1 and tossing a head is 0.10
How to determine the probability?From the table, we have the following parameters:
Total outcomes, n = 10
A 1 and a head, n(H1) = 1
So, the probability of spinning a 1 and tossing a head is:
P(H1) = n(H1)/n
Substitute known values
P(H1) = 1/10
Evaluate the quotient
P(H1) = 0.10
Hence, the probability of spinning a 1 and tossing a head is 0.10
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An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?
2870 miles
D= s x t
= 820 x 3.5
=2870
Hope this helps!
Help please I’ll give you 45 points
Answer:
63 square inches
Step-by-step explanation:
You already have the polgygon divided into two rectangles, so we will use them.
The top rectangle has the dimensions of 5 and 9.
The bottom rectangle has the dimensions of 6 and 3.
To find the area of a rectangle:
area = length x width
A = lw
The area of the top rectangle:
A = 5 x 9
A = 45 square inches
The area of the bottom rectangle:
A = 6 x 3
A = 18 square inches
To find the total area, add the two areas together.
45 + 18 = 63 square inches
What does volume measure?
a
the total distance around a figure
b
the average of the sum of all items
c
the exposed surface of a solid shape
d
the amount of space occupied by an object (its capacity)
Answer: d - the amount of space occupied by an object (its capacity)
Explanation:
[a] The total distance around a figure is the perimeter, this does not answer our question.
[b] The average of the sum of all items is the mean, this does not answer our question.
[c] The exposed surface of a solid shape is the object's surface area, this does not answer our question
[d] The amount of space occupied by an object is the object's volume, so this does answer our question.
can someone please help me with this question
Answer:
30.4
Step-by-step explanation:
17+28+32+35+59+20+19+33+30+31=304
304/10=30.4
Solve this pls 7x-10-x=2x+26
Answer:
[tex]7x - 10 - x = 2x + 26[/tex]Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .
[tex]⇢7x - x - 2x = 26 + 10[/tex][tex]⇢6x - 2x = 36[/tex][tex]⇢4x = 36[/tex][tex]⇢x = \frac{36}{4} [/tex][tex]⇢ \boxed{x = 9}[/tex]
Answer:
x = 9
Step-by-step explanation:
#1) Simplify each side.
7x - 10 - x = 2x + 266x - 10 = 2x + 26#2) Bring x terms to the left side and numbers to the other side.
6x - 2x = 26 + 104x = 36#3) Divide both sides by 4.
4x/4 = 36/4x = 9What is 28x²y + 38xy - 6y factored?
Answer:
(2y)(7x-1)(2x+3)
Step-by-step explanation:
first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)
Answer:
[tex]=2y (7x-1) (2x+3)[/tex]
Step-by-step explanation:
[tex]28x^{2}y + 38xy - 6y[/tex]
[tex]=2y(14x^{2} +19-3)[/tex]
[tex]=(7x-1) (2x+3)[/tex]
[tex]=2y(7x-1) (2x+3)[/tex]
Two brothers decided to bike to visit their grandma who lived 12 miles away. One of them biked at speed 8 mph and then he waited for his brother for 30 minutes. What was the speed of the second brother?
Answer:
6 m/hr
Step-by-step explanation:
The first brother took 12/8 = 1.5 hr
the second brother took 1.5 + .5 = 2hours
12 miles / 2 hrs =
For her mother's birthday, Eva spends $6.78 on a photo. She also buys 4 balloons for $1.49 each and a box of blueberries for $4.50. How much money does she spend all together?
Hope the picture will help you!!
Answer: $17.24
Step-by-step explanation:
6.78 + (1.49 x 4) + 4.50= 17.24
Which value represents |26|?
OA) -26
OB) O
OC) 26
OD) 126
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answer: the answer is 150 :)
Step-by-step explanation: Volume of a cone is
V = 1/3 pi * r^2 *h
The volume of one cone is
pi = 3.14
r = d/2 = 6/2 =3
h=9
Substitute what we know
V = 1/3 * (3.14) * (3^2) * (9)
= 27* 3.14
= 84.78 cm^3
The water cooler has 12717 cm^3 water
Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.
12717/ 84.78 = 150
We can fill 150 paper cup cones. have a great day!
Someone do number 8 pleaseeee
Answer:
3 7/8 liters
Step-by-step explanation: 3 7/8 liters because she first filled one container with 1 5/8 liters of rice and 2 1/4 liters on the other. Since you want to know how much she has in both you add 1 5/8 and 2 1/4. After that you convert 2 1/4 into 2 2/8 and add that to 1 5/8 to get 3 7/8 liters of rice.
Find the value of x.
First find out the value of big triangle and small triangle and - Big triangle and small triangle
Whats the area of a circle that has a 8mm dimeter using 3.14 of pi
Answer:
50.24
Step-by-step explanation:
8/2 = 4
3.14 x 4^2 = 50.24
Find the equation of the line that
is perpendicular to y = 4x + 5 and
contains the point (8,-4).
The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.
What is the Equation of Perpendicular Lines?Lines that are perpendicular to each other have slope that are negative reciprocal to each other.
Slope of y = 4x + 5 is 4.
Negative reciprocal of 4 is -1/4.
Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):
y - (-4) = -1/4(x - 8)
y + 4 = -1/4x + 2
y = -1/4x + 2 - 4
y = -1/4x - 2
Equation of the perpendicular line is: y = -1/4x - 2.
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Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows. Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet. She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece. The labor costs are $23 per hour, per person. A two-person carpet crew can lay 50 square feet of carpet each hour. The crew that will complete the job at Charlotte's house will be a four-person crew. There is an additional $75 fee to cover the cost of equipment, materials, and supplies. What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
Answer: 2.23 hours
Step-by-step explanation:
dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²
The answer a the question 1) is 16.50 feet X 13.50 feet
The answer a the question 2) is 222.75 ft²
3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?
if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour
four person carpet crew can lay 100 square feet of carpet---------- > 1 hour
therefore
if 100 ft² carpet----------------------- > 1 hour
222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours
The answer is 2.23 hours
WILL GIVE BRAINLIEST
The Coriolis Effect shows us that when moving from the equator towards the poles, the air is __________.
Question 1 options:
moving faster than the ground below it.
standing still.
moving at the same speed.
moving slower than the ground below it.
Answer:
answer A
Step-by-step explanation:
Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
What is Speed?Speed is the time rate at which an object is moving along a path,
The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.
As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.
This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.
The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.
However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.
Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
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Which of the objects below best holds 1 gallon? A. bathtub B. milk jug C. measuring cup O D. glass of water
Answer: B: milk jug
Step-by-step explanation:
A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.
what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8
The area of the trapezoid, to the nearest whole number is: D. 8 units²
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where:
h = height of trapezoida and b = lengths of the bases of the trapezoid.Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:
h = 3 unitsa = 3 unitsb = 2 unitsArea of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3
Area of the trapezoid = 7.5 ≈ 8 units²
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The apothem of a regular hexagon measures 8 cm. a regular hexagon has an apothem with a length of 8 centimeters. which are true of the regular hexagon? check all that apply. the perimeter of the hexagon is 48 cm. the measure of the angle formed by the radius and the apothem is 30°. the side length of the hexagon is about 4.6 cm. in a regular hexagon, the radius and side length are equal in length. the area of the hexagon is about 221.7 square cm.
The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of a regular hexagon measures 8 cm.
Then the side length of the hexagon will be
[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]
The perimeter of the hexagon will be
Perimeter = 6 × 9.24 = 55.43 cm
The area of the hexagon will be
Area = 0.5 × 8 × 9.24 = 36.95 cm².
The angle made by the apothem and the radius is 30 degrees.
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Answer:
2, 4, & 5
Step-by-step explanation:
I did it