Answer:
The answer is 4√2 ft i.e (5.66ft)
Step-by-step explanation:
The length, width and height of a rectangular box are all perpendicular.
This means the length of the diagonal is the Pythagorean distance of the three sides.
So, square of diagonal = L^2 + W^2 + H^2
So,
100 = 64 + 4 + H^2
H^2 = 100 - 68 = 32
H = √32 = 4√2 = 5.66ft
All fleece jackets are 30% off of the original price at Mike's Outdoor Store. You have a coupon for 15% off any item to shop with. How much does a $100 fleece jacket cost after the sale and the coupon? (Show Work.)
A: $59.50
B: $70.00
C: $130.00
Answer:
A
Step-by-step explanation:
30% of 100 = 30
100 - 30 = 70
15% of 70 = 10.5
70 - 10.5 = 59.5
Nate ate x ounces of blackberries. Emily ate ⅓ more than that. Write an equation to represent how much Emily ate (y) compared to Nate (x).
Answer: y = x + 1/3
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
The amount of blackberries that each one ate:
Nate (x)= x ounces
Emily ate ⅓ more than that. So, we have to sum the amount eaten by Nate(x) and 1/3.
Mathematically speaking:
Emily (y) = Nate + 1/3
y = x + 1/3
Feel free to ask for more if needed or if you did not understand something.
What was the mean high temperature in may for each city, rounded to the nearest degree?
Pls answer fast whoever answers first will be mark the brainliest ❗❗
Answer:1st one:87
2nd one:85 i think this is right
150 increased by 40%
Answer:
210
Step-by-step explanation:
Multiply 150 by 40% (0.4) and then add that to the initial value (150)
150x0.4=60
150+60=210
I did the math and it ended up being 210. You just take 40 percent of 150 and add it to 150.
What is the distance between the points (−3, 5) and (−3, −9)?
Answer: The distance between (−3, 5) and (−3, −9) is 14 units.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Just add the the numbers from the Y-AXIS and, add them together the numbers from the Y-AXIS are 9 and 5.
9+5=14
Some help please?
Which polynomial does this sum of tiles represent?
Answer:
B
Step-by-step explanation:
Simplify the equations into standard form
(2x^2+x+3) + (x^2+3x+2)
Then add
3x^2+4x+5
A pyramid is? Help! Please
Answer:
I think it's the third one
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Factor the quadratic by checking factor pairs.
-15x2 – 21x + 18
-15x2 – 218 + 19 = -3
Answer:
-3(x + 2)(5x - 3)
Step-by-step explanation:
-15x² – 21x + 18
-3(5x² + 7x - 6)
-3[5x² + 10x - 3x - 6]
-3[5x(x + 2) - 3(x + 2)]
-3(x + 2)(5x - 3)
A three-toed sloth has a top speed of 0.22 feet per second. A giant tortoise has a top speed of 2.992 inches per second. Convert both speeds to miles per hour, and determine which animal is faster.
The formula for the circumference C of a circle with diameter d is C = xd. Write an expression to represent the circumference of the following circle
The circumference of a circle is calculated based on its diameter using the formula C = πd. Replace 'd' with the value of the circle's diameter to obtain an expression representing the circumference.
Explanation:The formula for the circumference C of a circle with a diameter d is given by C = πd, where π (Pi) is approximately 3.14. To write an expression to represent the circumference of a specific circle, simply replace the term 'd' with the actual diameter of the circle. For example, if the diameter of the circle is 10 units, then the expression for the circumference would be C = π * 10 or C = 3.14 * 10, hence the circumference C of the circle would be about 31.4 units.
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I need help The table displays the mean for seven random samples which value is the best estimate of the mean of the population
Answer:
The mean is every number added divided by the number of the numbers, so in your case would be all the populations added divided by 7
A line passes through the point (-8,-2) and has a slope of -
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
hello :
the slope-intercept form is : y-(-2) = m(x-(-8)) when : m is the slope
Anyone knows celsius
so the answer is of option B
Side AB of rectangle ABCD is contained within the line y = 2x - 7. What is the slope of the adjacent side, BC?
A. 1/2
B. -2
C. -1/2
D. 2
n the Present Value of an Ordinary Annuity formula, what does the n represent?
a.
nominal interest rate
c.
number of periods
b.
number of payments
d.
decimal number of percentage
update: got the answer... it is c.
Answer:
C, number of periods
Step-by-step explanation:
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Final answer:
The 'n' in the annuity formula stands for Option C. the total number of payments or periods, essential for calculating the present value of equally spaced payments over time.
Explanation:
The letter 'n' in the Present Value of an Ordinary Annuity formula represents the total number of payments or periods over which the payments are made. When calculating the present value of an annuity, the formula accounts for each payment being discounted by the interest rate per period. Therefore, the present value of an annuity is calculated by summing up the values of all the payments, each discounted back to their present value.
An example of using the formula could relate to calculating the present value of a series of fixed mortgage payments over time. If the monthly interest rate is 'r', and there are 'n' total payments (for instance, 360 payments for a 30-year mortgage), the present value would account for each payment by discounting it over the number of periods to reflect the time value of money.
Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in2 and50 in2
Answer:
3:5 (or 3/5)
Step-by-step explanation:
The ratio of area is equal to (ratio of perimeters)^2
That means...
(18:50) = (a:b)^2
This simplifies to:
(9:25) = (a:b)^2
Which means...
3:5 = a:b
The two isosceles triangles are similar.
Answer:79
Step-by-step explanation:
Since a triangle has a total of 180 degrees in the interior, you can subtract 22 from 180 to get 158.Because the triangle is isosceles, the 2 remaining angles have the same measure. All you need to do now is to divide 158 by 2.
You get 59.
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Define negative integer. Give an example of a negative
integer and then give its opposite.
Answer:
integers that are less than 0
-4 and 4
Step-by-step explanation:
The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 square centimeters. (a) Write a polynomial equation that can be solved. (b) Solve the equation by factoring (input equation with binomials in this step). (c) State solution with units *
Answer:
105 = (w+8) *w
w = 7 cm
l = 15 cm
Step-by-step explanation:
Area of a rectangle is
A = l*w
l = w+8
105 = (w+8) *w
Distribute
105 = w^2 +8w
Subtract 105 from each side
105-105 = w^2 +8w -105
0 =w^2 +8w -105
Factor
What 2 number multiply to 105 and add to 8
15*-7 = -105
15-7 = 8
(w+15) (w-7) =0
Using the zero product property
w+15 =0 w-7 =0
w=-15 w=7
impossible
not negative
w =7
l = 15
Answer:
Width: w
Length: w + 8
w(w + 8) = 105
w² + 8w - 105 = 0
w² + 15w - 7w - 105 = 0
w(w + 15) - 7(w + 15) = 0
(w + 15)(w - 7) = 0
w = -15, 7
width = 7cm
length = 7+8 = 15cm
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
x + y=24
x=24-y = 3x+5y=100
3(24-y)+5y=100
72-3y+5y=100
72+2y=100
2y=28
y=14, since x=24-y
x=10
So there are 10 3-point questions and 14 5-point questions.
Answer:
the answer is B
Step-by-step explanation:
Free Brainliest for the correct answer!!!!
Step-by-step explanation: the 1st answer
Answer:
It’s 8 1/6
Step-by-step explanation:
The discount store is having a big sale. Paper towels are two rolls for 1 dollar. Disposable diapers are 3 dollars a box. If Serena buys 2 rolls of paper towels and 2 boxes of diapers, how much change will she get from a 20-dollar bill?
Answer:
She would get $13 back.
Step-by-step explanation:
2 rolls: $1
A box of diapers: $3
She got 2 paper towels which she would get for a dollar.
2 boxes of diapers:
3 + 3 = 6
20 - 6 = 14
14 - 1 = 13
Feel free to let me know if you need more help! :)
Answer: She would get $13 back.
What is the product of (3x-9) and 6x^2-2x+5? Write your answer in standard form.
a) Show your work.
b) Is the product of (3x-9) and 6x^2-2x+5 equal to the product of (9x-3) and 6x^2-2x+5? Explain your answer.
Answer:
The product of [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] is [tex]18x^3 -60x^2 + 33x - 45[/tex]No, they are not equalStep-by-step explanation:
a. Given
[tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex]
Required
Product
The solution is as follows
First, put both expression in different brackets
[tex](3x-9)(6x^2-2x+5)[/tex]
Expand [tex](6x^2-2x+5)[/tex] bracket by [tex](3x-9)[/tex]
To do that. we first multiply [tex](6x^2-2x+5)[/tex] by 3x then by -9. This is done as follows
[tex]3x (6x^2-2x+5) - 9(6x^2-2x+5)[/tex]
Now, we proceed to opening the bracket
[tex](3x * 6x^2-3x * 2x+3x *5) - (9* 6x^2-9* 2x+9* 5)[/tex]
[tex](18x^3 -6x^2+ 15x) - (54x^2 - 18x +45)[/tex]
Open both brackets
[tex]18x^3 -6x^2+ 15x -54x^2 + 18x -45[/tex]
Collect like terms
[tex]18x^3 -6x^2 -54x^2 + 15x + 18x -45[/tex]
[tex]18x^3 -60x^2 + 33x - 45[/tex]
Hence, the product of [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] is [tex]18x^3 -60x^2 + 33x - 45[/tex]
b. Given
[tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex][tex]9x-3[/tex] and [tex]6x^2-2x+5[/tex]Required
Are their products equal?
To check if they are equal or not, we find the product of both and compare the solutions
We've already solved for [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] in the (a) part of this exercise, so we move to the product of [tex]9x-3[/tex] and [tex]6x^2-2x+5[/tex]
The solution is as follows
First, put both expression in different brackets
[tex](9x-3)(6x^2-2x+5)[/tex]
Expand [tex](6x^2-2x+5)[/tex] bracket by [tex](9x-3)[/tex]
To do that. we first multiply [tex](6x^2-2x+5)[/tex] by 9x then by -3. This is done as follows
[tex]9x (6x^2-2x+5) - 3(6x^2-2x+5)[/tex]
Now, we proceed to opening the bracket
[tex](9x * 6x^2 - 9x * 2x + 9x *5) - (3* 6x^2 - 3 * 2x + 3* 5)[/tex]
[tex](54x^3 - 18x^2+ 45x) - (18x^2 - 6x +15)[/tex]
Open both brackets
[tex]54x^3 - 18x^2+ 45x -18x^2 + 6x -15[/tex]
Collect like terms
[tex]54x^3 - 18x^2 -18x^2 + 45x + 6x -15[/tex]
[tex]54x^3 - 36x^2 + 51x -15[/tex]
Now, we compare both answers
Is
[tex]18x^3 -60x^2 + 33x - 45[/tex]
equal to
[tex]54x^3 - 36x^2 + 51x -15[/tex]
No, they're not.
Reason is that, for both expressions to be equal, we must have the same expression after expanding both of them
four whole numbers are rounded to the nearest 10.the sum of the rounded numbers is 90.what is the maximum possible sum of the original four numbers?
Answer:
106
Step-by-step explanation:
numbers are 24, 24, 24, 34
24 + 24 + 24 + 34 = 106
Penny drives a truck. The function p = 20h + 75 represents her daily pay, in dollars, for working h hours. She travels 60 miles each hour. She also receives $0.10 for each bonus mile she drives. The function b = 60h × (0.10) represents the amount she earns for her bonus. Which function represents Penny's earnings, P, for driving h hours?
Answer:
Penny's earning for driving h hours is represented by the function
P = 26h + 75
Step-by-step explanation:
- The function p = 20h + 75 represents her daily pay
- The function b = 60h × (0.10) represents the amount she earns for her bonus.
Penny's earnings is the addition of her daily pay and bonus.
It is represented by the function P.
P = (20h + 75) + 60h × 0.10
Simplifying this, we have
P = 20h + 75 + 6h
= 26h + 75
1) Circle the equation that is NOT an example of direct variation.
A) y= 3 X+1
B)y= 16x
C) y = 4x
D) y=-9x
Answer:
A) y= 3 X+1
Step-by-step explanation:
A direct variation is of the form
y = kx
A) y= 3 X+1 not a direct variation since we add 1 to it
B)y= 16x direct variation
C) y = 4x direct variation
D) y=-9x direct variation
Answer:
The answer is A) y= 3 X+1
Step-by-step explanation:
I broke it down on paper.
56/15 as a decimal rounded to the nearest tenth
The decimal of 56/15 as rounded to the nearest tenth is 3.7.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
On dividing 56 /15 we get
56 / 15 = 3.7333333333333
The round nearest to5 is taken as value 1 and less than 5 is taken as value 0.
So, The round to the nearest tenth is 3.7
Therefore, 56/15 as a decimal rounded to the nearest tenth is 3.7.
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Final answer:
To convert 56/15 to a decimal and round to the nearest tenth, you divide 56 by 15 to get 3.7333 and then round it down to 3.7 since the hundredths place is less than 5.
Explanation:
The question is asking to convert the fraction 56/15 to a decimal and round it to the nearest tenth. To convert a fraction to a decimal, you need to divide the numerator by the denominator. In this case, divide 56 by 15. The decimal form of 56/15 is approximately 3.7333. When rounding this number to the nearest tenth, we look at the hundredths place, which is a 3. Since it's less than 5, we do not round up. Therefore, the decimal rounded to the nearest tenth is 3.7.
Morgan babysits every Saturday. The equation d = 9.5h
represents how much she earns after h hours. Last week,
she also babysat on Friday and earned $63 for 6 hours.
Which statement is true?
A. Morgan earns the same amount per hour on Friday and Saturday.
B. Morgan’s hourly rate on Friday $12 per hour.
C. Morgan earns more money per hour on Friday.
D. Morgan earns more money per hour on Saturday.
Answer:
Morgan earns more money per hour on Friday.
Step-by-step explanation:
Using the equation d= 9.5h, we see that the hourly rate for Saturday is 9.5, which is $9.50.
On Friday, she babysits 6 hours and earns $63. This is an hourly rate of 63/6 = 10.5, or $10.50.
She earns more money on Friday.
The statement that is true is C. Morgan earns more money per hour on Friday.
From the information given, Morgan babysits every Saturday and the equation is given as d = 9.5hLast week, she also babysat on Friday and earned $63 for 6 hours. This means the rate will be 63/6 = $10.5Therefore, based on this, we can see that the rate on Friday is better.Therefore, Morgan earns more money per hour on Friday.
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James says that all numbers have
an even number of factors.
Is he correct?
Yes or no and why
Answer:
No
Step-by-step explanation:
B cause only numbers that have a perfect square are even number of factors.
For example
[tex]25 = 5 .1.25[/tex]
But,
[tex]16 = 1 .2.16.8.4[/tex]
Hence, 16's number of factors is more than 25
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