Answer:
Angle x = 72
Step-by-step explanation:
Angle AHI = Angle HIK = 63
(This is because the two angles are corresponding angles, HI//JK)
Angle x = 180 - 63 - 45
= 72
Harper wants to put wood shavings in her rabbit's cage. The floor of the cage measures 1 yard wide by 6 feet long. One bag of shavings cover 10 square feet.
How many bags will Harper have to buy to cover the floor of the cage? Explain
Harper will have to buy _____ bag(s) to cover the floor because the area of the floor is _____ square foot/feet.
Help please :-(
Answer:
she would need 2 bags because it is 18 but covers 10 square feet
Step-by-step explanation:
Width = 1 yard = 3 feet
Length = 6 feet
Square feet(area) of the floor = 6ft × 3ft = 18sqft
1 bag = 10sqft
x bag = 18 sqft
x bags = (18 × 1)/10
= 1.8 bags
2 bags
The figure shown is made of two rectangles.
Item 19
A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
C. There would be 44 Campers who like basketball.
Step-by-step explanation:
When you divide 200 and 22% you get 44. 44 campers like basketball
14. A machine can print 1,520 pages per hour. How many pages can it print in 15 min?
Answer:
Step-by-step explanation:
1 hour equals 60 minutes
Find out how many pages per minute by dividing 1,520 pages by 60 minutes.
= 25.3333333
Therefore the machine prints 25.333333 pages per minute.
Multiply 25.3333333 by 15 minutes = 380
The machine can print 380 pages in 15 minutes.
You can check your work by finding out how many fifteen minute periods are in an hour (60/15=4), and multiplying 380x4
Since 15x4 is 60 and you can print 1520 pages in 60 minutes, you should be able to multiply 380x4 and get 1520 (spoiler alert! 380x4 is 1,520)
Hope that helped!
i need help on this- nothing is right for me
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
Area = Length×Width
5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.
6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answer: $37.8
Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8
Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.
What is the age of the escaped box turtle?
Answer:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
The average age is 22 yrs
The sum of the ages is 440 yrs
When two of the turtles leave, the average is 21 yrs....and there are 18 turtles left
So....the sum of the ages is 21 * 18 = 378
And the difference in the sums is 62
The only two values that sum to 62 are 26 and 36
So.....the box turtle must have been 36 and the map turtle must have been 26
Step-by-step explanation:
The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:
(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26
The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.
To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.
Let's represent the age of the box turtle X. We can set up the equation:
(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25
We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475
Then we can add X to both sides to get:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X
This simplifies to:
X = 36
Therefore, the age of the escaped box turtle is 36 years.
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A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0.9 cm, by how much does the surface area of the box increase? 31 cm 12 cm 7.2 cm Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why. The surface area increases by cm2
First size: SA1 = 2B + Ph, where B = area of the base of the figure, P = perimeter of the base and h = height
SA1 = 2(12*7,2) + (12+7,2)*31 = 172.8 + 595.2 = 768 cm^2
Second size: SA2 = 2B + ph2 (where h2 is the new height, 31.9 cm)
SA2 = 2(12*7,2) + (12+7,2)*31.9 = 785.28 cm^2
It increases (by rounding it down) by 17 cm^2.
Helpp me pls I'm struggling
Answer:
B. 2nd Play and B. 2nd Play
Step-by-step explanation:
#1) Going negative means going backwards.
-8<10.5
#2) Absolute value means making all numbers INSIDE the two lines positive.
I-8I = 8
I10.5I = 10.5
7. A machine produces 900 light bulbs in 1 hour.
The rate is ___________ light bulbs per minute.
Answer:
15
Step-by-step explanation:
900 light bulbs per hour
60 minutes per hour
X lightbulbs per minute
Divide 900 lightbulbs by 60 minutes
15
The rate is 15 light bulbs per minute
Uhm does anyone know the answers?
A B E
.
..
.
.
.
.
...
.
.
..
.
.
.
.
..
Answer:
Use the FOIL Method
Step-by-step explanation:
A: 5.9a + 2.2b
B: 5.9a + 5.6b
C: 5.9a - 5.6b
D: 5.6b - 5.9a
E: 5.9a - 5.6b (This is it’s simplest form)
So as you can C and E are equalivalent, so these are your answers.
Mark me brainliest if this was correct :)
please help me get the answers
Answer:
Step-by-step explanation:
2 by 2
any answer needed for practice for next subject study
Answer:
The Stores profit is 70% or $59.5
How?
The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.
Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!
1. Convert percentages into fractions or decimals
For fraction: divide 70 by 100 and remove the % sign.
[tex]{70}\%=\frac{70}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
[tex]{70}\%=0.7[/tex]
2. Multiply the decimal or fraction by the quantity that equals 100%
[tex]100[/tex]%[tex]=85[/tex]
[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]
70% of 85 is 59.5Store's profit is $59.5Extra info:
170% of 85 = 144.5
70% of 85 = 59.5
H) A bar graph shows the favorite food of 20 people.
Does it make sense to describe the distribution of
these data?
Explain.
Answer:
No
Step-by-step explanation:
The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.
Why is there a 1/2 in this formula for the area of a trapezoid?
A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2
True or False? In Exercises 119 and 120, determine whether the equation is true or false. Justify your answer.
120. \ln (x+y)=\ln x+\ln y
Answer:
True
Step-by-step explanation:
To find true or false
Using the properties of logarithms, the left side of the given equation .logb b^2r=2r
, is equivalent to logb b^2r = 2x logb b
(use Power Rule)
=2x(1)
=2x
Hence, the given statement is a true statement.
Please I need help
Point Y is the center of the circle. Which line segment is congruent to line segment XY?
A) line segment UZ
B) line segment ZU
C) line segments ZU and YZ
D) line segments UY and ZY
Answer:
D
Step-by-step explanation:
they are all congruent in length.
Answer:
D) line segments UY and ZY
Step-by-step explanation:
Congruent is when things are the same size and shape. Therefore, the only line segments that are congruent to line segment XY are line segments UY and ZY.
Brainliestt help please
Find a common denominator and then subtract and simplify your answer.
8/9 - 2/3
A.4/9
B.3/9
C.2/9
Answer:
c 2/9
Step-by-step explanation
PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.
The amount of space an object occupies is known as volume.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The amount of space an object occupies is known as volume.
More about the volume and area link is given below.
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PLEASE HELP!!!!!!! URGENT!
Drag the tiles to the correct boxes to complete the pairs.
Match each event to the likelihood of its occurrence.
Answer:
My explanation is below.
Step-by-step explanation:
rolling a six sided die and getting 7 = impossible
This is because a six sided die doesn’t even have the number 7 on it.
Randomly selecting a girl from a team of 14 boys and 4 girls = unlikely
This is because, if there are 14 boys and 4 girls, the girls have a lower chance of getting picked.
Randomly selecting a short straw from a set of 12 short straws and 12 long straws = neither likely nor unlikely
This is because the chance of picking a long straw is 12/24 and the chance of picking a short straw is 12/24 so it’s equal or neither unlikely or likely since you have a equal chance of picking either one.
Picking a bird from a list of 20 bird species and 6 other animals = likely
This is likely because, 20 is more than 6 and because there are 20 birds and 6 other animals, the birds are more likely.
Vivek is making a perpendicular segment in the middle of segment JR.
First, he drew an arc centered at J.
Then, he used the same radius to draw an arc centered at R.
Next, he found the points where the arcs intersected.
What MUST be true?
Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
CLEAR CHECK
P is the same distance from N as J is from R.
PN is equal to JR.
Any point on PN will be equidistant from J and R.
NR is half of JR.
Answer:
Step-by-step explanation:
The correct answer is :Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
PLEASE HELLLP i will give you brainiest points and everything!!!!
Answer:
A = 8cm
B = 11cm
C = 4cm
D = 4cm
(b)
11x4=32
11x4=32
8x11=88
8x11=88
88+88+32+32=240 (i think)
(c)
240
8x4=32
8x4=32
240+32+32=302
Step-by-step explanation:
Please help me with this I would give you 50 points.
Answers for #5
- s/10
- 8*b
- h+7
- 3*r-8
Question 6
62 miles/hour x 4 hours = 248 miles traveled
What does ! mean in a math problem?
Answer:
Factorial
Step-by-step explanation:
Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.
Hope this helped you<33
ok finally the answer was
(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2
which one could it be I don´t understand circumference nor pie
Answer:3
Step-by-step explanation:
What is the slant height, s, of the triangular prism?
Round your answer to the nearest tenth.
Image below
Step-by-step explanation:
there is a right angled triangle.
25+4 = 29 = slant ht^2
h = 5.38 units
the answer to this, i don’t understand it
Answer: the answer should be 9.22
Step-by-step explanation:
the formula is a^2 +b^=c ^
So 49 plus 36 equals 85
And the square root of 85 is 9.22
please help my finale math exam is do to night
1: What is the volume of a circular cake pan that measures 8 inches across and 2 inches high?
2: How many outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time?
3: Sammy puts 12 M&Ms in a bag. 3 are green, 4 are yellow, 2 are orange, and 3 are red. He pulls one M&M at a time from the bag and eats it. What is the probability he will pull a yellow, then a green, then a red?
4: A magician is doing a trick that needs 3 volunteers and he has 100 audience members to choose from. How many different ways can the magician choose his volunteers?
5: A waiter in a restaurant has 8 booths available. How many different arrangements are possible to seat 8 groups of people?
Answer:
Dimension volume
6 cups (1.5 L) 8 x 2 inch (20 x 5 cm) Round Cake Pan
6 cups (1.5 L) 9 x 1.5 inch (23 x 4 cm) Round Cake Pan
6 cups (1.5 L) 8 x 8 x 1.5 inch (20 x 20 x 4 cm) Square Cake Pan
8 cups (2 L) 9 x 2 inch (23 x 5 cm) Round Cake Pan
here are four outcomes that sum to seven out of 24 possible outcomes. Therefore the probability of values of four sided die and six sided
Step-by-step explanation:
whats the answer to this
Answer: About 9.2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem. We are solving for the hypotenuse which is the "c" variable in the formula.
a² + b² = c²
7² + 6² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
[tex]\sqrt{85}[/tex] = c
9.2 ≈ c
question: the solutions of a quadratic equation are x=-7 and 5. which could represent the quadratic equation and why?
Answer:
B) x²+2x-35=0; the factors are (x+7)(x-5)
Step-by-step explanation:
The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given that,
a quadratic equation has the solutions x = -7 and 5.
There are two options, x² + 2x - 35 and x² - 2x - 35
Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.
Consider, x² + 2x - 35 = 0
There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35
So it can factored as,
(x + 7) (x - 5) = 0
Solutions are x = -7 and x = 5
Hence the quadratic equation is x² + 2x - 35 = 0.
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