Answer:
23
Step-by-step explanation:
thisssss??????????????
Answer:
Part A = 91.125in²
Part B = 8 boxes
Step-by-step explanation:
Work is underlined
Normal text = explanation
Hey There!
What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.
To find the volume of the supply boxes:
We are told that the supply box is in the shape of a cube.
That being said we can find the volume by using this simple formula
[tex]V=s^3[/tex]
where s = side length
The supply box has a side length of 4.5 so we just plug in 4.5 into the formula
[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]
So we can conclude that the volume of the supply box is 91.125 square inches.
Now to find the volume of the larger box.
The larger box is in the shape of a rectangular prism.
The volume of a rectangular prism can be found by multiply the width by the length by the height.
The box has the following dimensions:
width = 18 in
height = 4.5 in
length = 9 in
This means that the volume = 9 * 4.5 * 18
9 * 4.5 = 40.5
40.5 * 18 = 729.
so the volume of the larger box is 729 square inches.
Now we want to find how many little boxes can fit inside the larger box.
Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box
so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]
Using a calculator: [tex]\frac{729}{91.125} =8[/tex]
Hence, 8 smaller boxes can fit inside of the larger box
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease y=330(1.06)^x
=======================================================
Explanation:
The general form of an exponential function is
y = a*b^x
where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.
We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.
Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%
This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.
Find the Surface Area SA=2lw+2lh+2hw Length = 4 cm Height = 3 cm Width = 2cm
A. 24cm squared
B. 26cm squared
C. 52cm squared
D. 9cm squared
Answer:
solution given:
the Surface Area SA=2lw+2lh+2hw
Length = 4 cm
Height = 3 cm
Width = 2cm
we have
the Surface Area SA=2lw+2lh+2hw=2×4×2+2×4×3+2×3×2=52cm²
its
C. 52cm squared
jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.
a. what is the down payment?
b. what is the amount of the mortgage?
c. what are the closing costs?
d. what is the total amount of the mortgage if they finance the closing costs with the mortgage
The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.
Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.
Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.
So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.
To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000
Therefore, Jason's down payment is $43,000.b)
The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.
Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000
Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.
Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000
Closing costs = $13,545
Therefore, the closing costs are $13,545.
d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545
Total amount of the mortgage = $400,545
Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
For more questions Amount.
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what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS
Answer:
C) ASA
Step-by-step explanation:
angles are indicated equal and they share the common diagonal between those angles, so ASA
The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given triangles are given in the figure.
We can see that there are two angles that are the same and one side is the same.
According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
So, we conclude that the given two triangles are congruent.
Hence, the given two triangles are congruent due to the ASA postulate.
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Find the missing measurements in triangle ABC. Round your answer to the nearest tenth if necessary.
Measure of Angle B=
AB=
AC=
Answer:
m∡B = 55°
AB = 5.2
AC = 7.4
Step-by-step explanation:
m∡B = 180-(90+35)
use Law of Sines to find AB and AC:
sin 90° / 9 = sin 35°/AB
AB = .57(9) = 5.2
sin 90° / 9 = sin 55°/AC
AC = .82(9) = 7.4
The solution is,
m∡B = 55°
AB = 5.2
AC = 7.4
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
from the given figure, we get,
m∡B = 180-(90+35)
=55
use Law of Sines to find AB and AC:
sin 90° / 9
= sin 35°/AB
AB = .57(9)
= 5.2
sin 90° / 9 = sin 55°/AC
AC = .82(9
= 7.4.
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The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 50 pizzas in all, 10% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?
Answer:
5 mushroom pizzas
Step-by-step explanation:
Find how many mushroom pizzas they made by finding 10% of 50:
50(0.1)
= 5
So, the cafeteria made 5 mushroom pizzas
Answer:
50×10/100= 5
The cafeteria made 5 mushroom pizza
Marcus wants to earn an "A" in math for the 4th quarter. His teacher is averaging 4 test grades. His grades on the first three tests are 85, 95, and 88. What grade does he need to earn on his 4th test to end up with an average of 90?
Answer:
87
Step-by-step explanation:
The width of a rectangle is 6t-1.5 feet and the length is 1.5t+6 feet. Find the perimeter of the rectangle. The perimeter of the rectangle is nothing feet.
Answer:
15t+9 ft
Step-by-step explanation:
Given data
Width= 6t-1.5 ft
Length= 1.5t+6 ft
Required
The perimeter
The expression for perimeter is
P= 2L+2W
P= 2(1.5t+6)+ 2(6t-1.5)
open bracket
P= 3t+12+ 12t-3
collect like terms
P= 3t+12t+12-3
P= 15t+9 ft
Hence the perimeter is 15t+9 ft
giving brainliest, find the volume THANKS
Answer:
384 inches cubed
Step-by-step explanation:
Your equation is:
width x hight x length = volume
12 x 4 x 8 = 384 in cubed
Answer: that be B.128in^2
Step-by-step explanation: Hope this help :D
A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?
Answer:
7/25
Step-by-step explanation:
On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?
Answer:
Probability of Sarah NOT selecting a mystery book = 0.67
Step-by-step explanation:
Probability helps to show how likely an event will occur;
The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.
We can take this route to solve this problem
The probability of picking an option from a broad list of alternatives can be calculated using the formula:
Probability = number of expected outcomes/ total number of options
For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.
The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.
We can get this by adding 6 + 5 + 4 + 3 = 18
Probability of Sarah selecting a mystery book = 6/18
Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67
A local ice cream shop wants to see if they should promote a new swizzleberry swirl or creamsicle flavored drink. In order to determine which one to promote, they took a sample of 80 patrons and asked them to choose which they preferred. The one that is significantly preferred over the other (at a .05 level of significance) will be promoted. It is expected that an equal number of patrons will choose each flavor. Based on the observed frequencies given below, what is the decision for this test
Use the Distributive Property to solve the equation. 4(x + 3) = 32 The solution of the equation is (Type the value of x)
Answer:
x = 5
Step-by-step explanation:
4(x + 3) = 32
Use Distributive Property
4x + 12 = 32
Subtract 12 on both sides
4x = 20
Divide 4 on both sides
x = 5
Hope this helps! ^^
Mr. Winkleman , a professional wine taster, made $32,800 last year . This year he had a raise of $2,132 . what was the percent of the raise? PLEASEE ALSO show work , i will try and mark brainliest
Answer:
0.65
Step-by-step explanation:
Answer:
Step-by-step explanation:
2,142/32,800 ≈ 0.065 = 6.5%
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
Graph the line with the equation y = 1/2x+3
Answer:
(0,3) (-6,0) these will be the points
pls help!________________
Answer:
I think your right but I'm not sure yet
Answer:
SCI or ICS
Step-by-step explanation:
The largest line will have the largest angle opposite to it, so angle SCI is the correct choice.
Please answer the question correctly
Answer:
ML=6
Step-by-step explanation: because JM and ML are a same straight line that is intersected they are the same
Sal buys y pens and some pencils. He buys 10 more pencils than pens. How many pens and pencils does he buy
altogether?
Answer:
20
Step-by-step explanation:
Which transformation shows a translation of 3 units to the right?
A)
А
B)
B
0)
С
D)
D
Answer:
B
Step-by-step explanation:
It shows the P moving to the right three units without flipping it.
HELP ASAAAPPPPPPP PLEASEEEEE
Answer:
I say it is A.
Step-by-step explanation:
It is the one that makes the most sense.
Hope this helps.
A baseball bat that originally sold for $65 is on sale at a 15% discount. Which single gift card amount would cover the complete cost of the discounted bat? Select all that apply.
A
$10
B
$15
C
$50
D
$60
E
$80
Answer:
A
$10
Step-by-step explanation:
15% of $65 is 9.75
so $10 would cover the given amount
We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:
D and E.
The baseball bat is originally sold for $65.
It has a discount of a 15%, then the new price is given by:
P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25
So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25
The correct options are:
D: $60
E: $80
With these two you could pay the complete cost of the discounted bat.
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-19 2/9 -4 1/9-(-3 4/9) = ?
Answer:
I think its -19.9
Step-by-step explanation:
just break it down :)
!!!!!!help please!!!!!! Lots of poibts
Answer:
C: y < 3x + 2
Answer:
Step-by-step explanation:
I think the answer is C not really sure..
What are the formulas for a 90, 180, 270, and 360 rotation?
A video game originally costs $63, but if you buy it before the end of May there is a 25% off sale. The sales tax is 9.5%. What is the final price of the video game if you buy it before the end of May?
Answer: $53.24
Step-by-step explanation:
Find the sales tax:
9.5*63.00=598.5
Then divide 598.5 by 100: 598.5/100= 5.985
Round: $5.99 ( sale tax amount )
Now we find the discount: 25*63.00= 1,575
Then divide it by 100 : 1,575/100= $15.75 ( discount amount )
Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24
Answer: $53.24
Your welcome :)
Mark's scores on his first nine assignments were: 10, 10, 9, 9, 10, 8, 9, 10, and 8.
a. What are the median and range of his scores?
b. What is his mean (average) score so far?
c. Mark did not do the tenth assignment, so he got a zero on it. Zero is an outlier for these assignments. What is his new mean?
If you help me with my last question I will help you with this one
Answer:
Median= 9
Range= 2
Mean= 9.2
Mean after zero= 8.3
Step-by-step explanation:
8, 8, 9, 9, 9, 10, 10, 10, 10
Median= order from least to greatest then eliminate from left to right until you get to the middle
Range= Subtract biggest # minus smallest #
Mean= add up all the numbers then divide by 9
Mean after zero= add 0 with other numbers then divide by 10
why life on Earth depends on matter
Answer:
because matter is everything, everything around us is made of matter even people
have a good day :)
Step-by-step explanation: