Answer:
the shape of the box is a rectangular prism.The way to solve this is by using the formula V=l*w*h
we only have 20(l) and 10(h) so here's a clue it said that the base of the box was squared so the width would also be 10 in. so....
V=20*10*10
₃
=2000 in
Step-by-step explanation:
Min has a shelf filled with books. The books have different thicknesses. This line plot shows the thickness of each book. He piles the four thickest books on top of each other. How thick is the pile?
Answer:
[tex]$2\frac{1}{4} \ inch$[/tex]
Step-by-step explanation:
We have the four thickest books from the line plot given by
Two books of [tex]$\frac{1}{2}$[/tex] inch thick and the two books of [tex]$\frac{5}{8}$[/tex] inch thickness.
So when the two [tex]$\frac{1}{2}$[/tex] inch thick book is being piled on the top of a [tex]$\frac{5}{8}$[/tex] inch thick books.
Therefore, the total thickness of the pile of books is given by :
[tex]$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$[/tex]
[tex]$=\frac{9}{4}$[/tex]
[tex]$=2\frac{1}{4} \ inch$[/tex]
Therefore, the thickness of the pile is [tex]$2\frac{1}{4} \ inch$[/tex] .
The addition is one of the four fundamental mathematical operations. The thickness of the pile is 4.75 inches.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
As per the given graph, the top four thickest books are:
2 books of thickness 1 1/8 inches2 books of thickness 1 1/4 inchesTherefore, the thickness of the pile is the sum of the thickness of the four books.
[tex]\text{The thickness of pile} = 1\frac18 +1\frac18 + 1\frac14 + 1\frac14\\[/tex]
[tex]= \dfrac98 +\dfrac98 + \dfrac54 + \dfrac54\\\\= 4.75[/tex]
Hence, the thickness of the pile is 4.75 inches.
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A gallon of paint can cover 360 square feet. The radius of a standandard NBA basketball is 4.75 inches. How many basketballs will the paint cover? ( note 144 square inches in 1 square foot )
===========================================================
Explanation:
We're told that 1 square foot is 144 square inches (this is from 12*12 = 144, since 12 inches = 1 ft).
So because of this, 360 square feet converts to 360*144 = 51,840 square inches.
One gallon of paint can cover 51,840 square inches.
Now let's find the surface area of the sphere, aka ball.
It has a radius of r = 4.75 inches, so,
SA = 4*pi*r^2
SA = 4*pi*(4.75)^2
SA = 90.25pi
SA = 283.528736986479 which is approximate
The surface area of one ball is roughly 283.528736986479 square inches.
Divide the amount of area the paint can cover over the surface area of one basketball:
(51,840)/(283.528736986479) = 182.838609415709
This rounds down to 182. We round down because we won't have enough paint to cover the 183rd basketball.
One gallon of paint can cover 182 basketballs.
A business has a savings account that earns a 3% annual interest rate. At the end of 1996, the business had $4,000 in the account. The formula
F = p (1+r/100)
t is used to determine the amount in the savings account.
F is the final amount,
p is the initial investment amount,
r is the annual interest rate, and
t is the time in years.
To the nearest dollar, how much did the business initially invest in 1991?
A. $3,450
B. $3,455
C. $4,631
D. $4,637
Answer:
The amount the business initially invested in 1991 is approximately;
A. $3,450
Step-by-step explanation:
The question relates to investment and finance
The parameters given are;
The annual interest rate on the business savings account = 3%
The amount the business had in the account at the end of 1996 = $4,000
The given formula used to determine the final amount in the savings account, [tex]F = p \cdot \left(1 + \dfrac{r}{100} \right )^t[/tex]
Where;
F = The final amount
p = The initial (principal) investment
r = The annual interest rate
t = The time in years
Therefore, we have;
The required information = The initial amount, 'p', the business invested in 1991
The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5
∴ The time in years from 1991 to 1996, t = 5 years
The final amount in 1996, F = $4,000
r = 3%
Plugging in the values in the given equation gives;
[tex]4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5[/tex]
Therefore;
[tex]p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754[/tex]
To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.
Jessica has a coupon for 20% off the original price of
her purchase.
When she gets to the checkout counter, the employee
notifies her that they are going to take an additional
15% off the already reduced price.
What is the final price of a pair of sneakers that
originally cost $140?
Answer: $95.20
Step-by-step explanation:
140 * .2 = 28
140 - 28 = 112
112 * .15 = 16.8
112 - 16.8 = 95.2
Answer:
95.2
Step-by-step explanation:
hope it helps. that's the least I could do if it's not correct please tell me.
Rowenas new kitten weights 12 times as much as her hamster. The conbines weight of the kitten and thw hamster is 468 grams. What is the weight of the kitten
Answer: 36
Step-by-step explanation: 36x12=432
432+36=468
What is angle m1 and angle m2?
Answer:
1) 122 2)58
Step-by-step explanation:
Answer:
m1 = 122°
m2 = 58°
Step-by-step explanation:
angle 1 = 122° rule of vertical angles
180° -122° = 58°
If my answer is incorrect, pls correct me!
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-Chetan K
Complete the sentences.
Equivalent fractions
have the same value, but can have different numerators and denominators.
Equivalent fractions always have the same
when modeled, but can have different
.
Every fraction has
equivalent fractions.
Equivalent fractions are fractions that represent the same value or amount, despite having different numerators and denominators.
In other words, equivalent fractions have the same ratio or proportion, but may be written in different forms.
For example, the fractions 1/2 and 2/4 are equivalent fractions because they represent the same amount, which is half of a whole.
Also, 3/5 and 6/10 are equivalent fractions because they both represent three-fifths or 60% of a whole.
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Irene knows there are 2 cups in 1 pint. She writes the equation c=2p to find the number of cups, c, in any number of pints, p. Use the drop-down menus to complete the statements about Irene's equation.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as there are no options to select from.
However, a general explanation is as follows.
Given
[tex]2\ cups = 1\ pint[/tex]
Required
Is [tex]c = 2p[/tex] a correct expression?
Let
[tex]c = cups[/tex]
[tex]p = pint[/tex]
So:
[tex]2\ cups = 1\ pint[/tex]
becomes
[tex]2 * c = 1 * p[/tex]
[tex]2c = p[/tex]
Divide both sides by 2
[tex]c =\frac{1}{2}p[/tex]
Hence:
[tex]c = 2p[/tex] is incorrect
Subtract (-4x-2)-(13x-1)
Answer: -17x-1
Step-by-step explanation: Hope this help :D
Answer:
-17x-1
Step-by-step explanation:
who was the first president of the United States ?
mr george washington
what is the area of the circle r=5
Answer:
A≈78.5
Step-by-step explanation:
Formula : pie * r^2
3.14 * 5^2
3.14 * 25
78.5
I NEED HELP ON THIS ASAP!!!
If h = 2, what is 3x (4 - h)?
Answer:
3x(2)
Step-by-step explanation:
What does AB equal in this problem? It’s timed
Answer:
For angle B which is 50 degrees,
hypotenuse = AB =?
Adjacent = BC = 2 units......(given)
cos 50 = adjacent / hypotenuse
0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)
AB * 0.643 = 2
AB = 2 / 0.643
AB = 3.11 units(approx)
Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows the recommended tire pressure of a car's tires (in pounds per square Inch) and its
anticipated tire life in thousands of miles),
Tire Pressure Tire Life
29
46.8
32
57,6
34
58.8
36
60.0
38
58.8
AN
570
52,8
Use a graphing or online regression calculator to find the quadratic function of best it for this set of data, What is the
value of a in this function?
o
Answer:c
Step-by-step explanation:
Solve with substitution. Show each step of your work
4x + y = 12
6x + 2y = 18
Help I need a answer real quick! Plz don't send me a file type it out!!
Answer:
E
Step-by-step explanation:
2^2 = 4
√(4^2 + √5 ^2) = √21
is 10/24 equal to 8/20
Answer:
No, 10/24 is not equal to 8/20
Step-by-step explanation:
10/24=5/12 when simplified
8/20=2/5 when simplified
Therefore, 10/24 is not equal to 8/20. I hope this helps, and mark me brainliest, please!
Thank you have a wonderful Sunday!
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
a. The vertex is (1, -9).
b. The graph opens upward.
c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
d. The graph is steeper than the graph of f(x) = x2.
e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Answer:
Step-by-step explanation:
a. The vertex is (1, -9). False. The vertex is (-1, -9).
b. The graph opens upward. True. That coefficient '6' is positive.
c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units. False. It's DOWN 9 units.
d. The graph is steeper than the graph of f(x) = x^2. True. The given function increases 6 times faster than does x^2.
e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Let's put f(x) = 6(x + 1)^2 -9 into standard form. Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9. YES, TRUE
HELLPPPP
3 divided by 3 over 3 divided by 12
Answer:
its 1/2
Step-by-step explanation:
because 3and3 because only 3 and 3 and 12 become 6and3 so 3/6 is 1/2
Divide 5/9 round to the nearest tenth
Answer:
0.55
Step-by-step explanation:
5 divided by 9 = 0.55
Answer:
0.6
Step-by-step explanation:
5/9=0.55555555555...
since the hundredth digit is a 5 you round up to 0.6
Diego played chess for 30 minutes. He stopped playing at 5:49 PM move the numbers to the Clock to show what time he started playing
Answer:
He strated at 5:19 PM
Step-by-step explanation:
Have a Nice Day!
Answer:
5:19
Step-by-step explanation:
W
(5x- 12)
z
Y
(2x - 3)°
X =
m
Answer:
<VYX +<YVX+<VXY=180 SUM OF THE INTERIOR ANGLE OF THE TRIANGLE
90+5X-12+2X-3=180
7X=180-75
X=105/7=15
X=15°
again
in right angled triangle XYZ
<Y+<Z+<X=180
<y+90+2×15-3=180
[here diagonal of the rectangular bisect each at 90°]
<Y=180-117=63°
M<VWZ= <XYZ=63° alternate angle
Will mark brainly
ASAP
Answer:
The angles that are considered vertical, would be those that are directly across from each other. In this case, it would be 1 and 3; and 2 and 4.
I hope this helped!!
This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were asked
to identify the TV channel on which they preferred to watch the evening news.
WKOD
13%
WCLM
24%
WWCN
41%
WANR
22%
10. Write a ratio to express the number of people who preferred WANR to those who preferred WCLM.
A. 23:100
B. 3:50
C. 11:12
D. 46:100
Answer:
C) 11:12
Step-by-step explanation:
22:24 which reduced to 11:12
24 is 44% of what number?
yall i have exams tomorrow and i have no clue how to do percentages TwT helppp
Answer:
24 is 44% of 54.55
Step-by-step explanation:
24 ÷ 44% = y ÷ 100%
Solve for y - To do so, we will use cross multiplication.
44y = 24 × 100
44y = 2400
y = 2400 ÷ 100
y = 54.55
What is the area of circle W?
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of p>0.5, which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01, 0.001? Why? The P-value of (0.999.05.095.005-001.0001) 2 is preferred because it corresponds to the sample evidence that most strongly supports the (null/ altenative)? hypothesis that the method (is/ is not)? effective.
Answer:
0.001
Step-by-step explanation:
Ericsson is claimed to increase the likelihood of a baby girl ;
Given the alternative hypothesis to buttress this claim :
HA : p>0.5
In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.
To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.
Recall ;
Pvalue < α ; We reject the Null
Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.
I NEED HELP I AM DESPERATE PLEASE JUST HELP ME
THE AREA IS ___ SQUARE UNITS
Answer:
50 units
Step-by-step explanation:
First find the length and width by using distance formula.
QR = Square root of 25 =5
RS = Square root of 100 =10
Area = 10×5 = 50
find the value of x
show your work
Answer:
x = 8√3
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
x² + 8² = 16²
x² + 64 = 256
x² = 192
√x² = √192
x = √64 √3
x = 8√3