Answer:
1512
189 in³
Step-by-step explanation:
Here is the complete question
A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.
a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?
b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box
A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box
volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³
volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³
189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512
b. 1/8 x 1512 = 189 in^3
Two equations are given. m + 5n = 20
m = n-4
What is the solution to the set of equations in the form (m, n)?
A (3,7)
B (0,4)
C (5, 1)
D (2,6)
Please help
Answer:
B. (0, 4)
Step-by-step explanation:
so we need to find the value of m and n, and luckily we have 2 equations that'll help. (I'm going to use the substitution method for this instead of the Elimination method because I am lazy)
first we need to solve for m, but we already have an equation that tells us what m is equal to, m = n - 4.
now we just need to plug in our new m into the other equation and solve for n. (we are using m + 5n = 20 for that)
so now we get
(n - 4) + 5n = 20
so we solve for n
n + 5n = 24
6n = 24
n = 4
now that we know that n is 4, we can plug that into our m equation (m = n - 4)
m = 4 - 4
m = 0
now we have our m and n, and we can make our ordered pair.
(m, n)
(0, 4)
Elijah earns $200 for 8 hours of work.What is the rate (in dollars per item)
Last year a student correctly answered 4/5 of the total 40 questions given.What percent of the total questions she correctly answered?
On an architect's drawing, the scale is 1 inch equals 6.5 feet. The distance on the drawing of the width of the dining room is 3.5 feet. How wide is the actual dining room?
Answer:
22.75
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
3.5 x 6.5 = 22.75 ft
PLEASE HELP ME THANK YOU!!!
A cylinder has a height of 10 ft and a volume of 25,456 ft³.
The radius of the cylinder is approximately ___ feet.
Round your answer to the nearest whole number.
Answer:
The radius of the cylinder is approximately 28 feet.
Step-by-step explanation:
Volume of a cylinder = πr^2 h
⇝ 25,456 = π r^2 10
⇝r^2 = 25456 *7 / 22*10
⇝r^2 = 178192/220
⇝r = √809.9636
⇝r = 28.45 ft
which answer is correct
Answer:
From top to bottom: 1,3,4
Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?
Answer:
152 US quarts
Step-by-step explanation:
4 x 38 = 152
quarts = 4 of something
Answer:
152
Step-by-step explanation:
38 x 4 = 152
A jar contains 5 blue marbles, 1 yellow marble, and 4 green marbles. What is the probability of randomly choosing a yellow marble, replacing it , and then choosing a yellow marble again
Answer:
1/100
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
the probability = (number of yellow marbles / total number of marbles) x (number of yellow marbles / total number of marbles)
total number of marbles = 1 + 5 + 4 = 10
(1/10) x (1 / 10) = 1 /100
Karen took out a loan for $725 with a 2.5% interest rate that is compounded annually. No additional money will be deposited or withdrawn from the account. How much in interest will Karen pay back at the end of 18 months?
Answer:
$29
Step-by-step explanation:
You divide 2.5 by 100 the you multiply that by 725 and sense its months it would be converted to 1.6 so you multiply 725 1.6 and the answer to 2.5 divide by 100
can someone help me find the value of A, B, and C
if we added a 4th person to the race, what is the probability of the 4th person winning the race?
Answer:
1/4 chances
Step-by-step explanation:
its like rolling a dice. Six sides, Six different numbers, one will be picked
Which of the following segments is a radius of A?
А. ТА
B.TR
C. GP
D. RP
Answer:
Step-by-step explanation:
Answer A is correct. Remember that a radius stems from the center and ends on the rim of the circle, as shown here.
(a) TA
hope this helps :))
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answer:
a edge 2021
Step-by-step explanation:
A video recorder has. a cash price of a $2500.
find hire purchase price if it may also be bought
for a deposit of 10% and 24 montly payments
of $95?
Answer:
$2530
Step-by-step explanation:
hire purchase = dp+Ap
250+(24*95)
=$2,530
Find the vector equation of the line
y=6x−4
.
Correct answer selected
r(t)=(6+26t,32+156t)
r(t)=(6−26t,32+156t)
r(t)=(32+26t,6+156t)
r(t)=(6+156t,6+26t)
I hope someone seriously helps him :(
Step-by-step explanation:
sorry I couldn't help ya
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer:
Right, I am an idiot so i might be wrong
Step-by-step explanation:
Every triangle has three angles which sum to 180 degrees.
There are three types of triangles based on the measures of its angles.
Right Triangle - Has one 90 degree angle
Acute Triangle - All angles less than 90 degrees
Obtuse Triangle - One angle greater than 90 degrees
In this example we are given 2 angles and must find the measure of the 3rd.
a + 56 + 34 = 180
a + 90 = 180
a = 90
Therefore, it is a Right Triangle.
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer: ima answer so u can give him brainliest
Step-by-step explanation:
first come first served brainiest *easy*
Answer:
15
Step-by-step explanation:
Answer:
7. Obtuse and 148 degrees
8. Acutes and 20
Step-by-step explanation:
9)
Find the slope of a line perpendicular to y = 3x + 7.
A)
-3
B)
NE
3
D) 3
Answer: B because it's the absolute opposite of 3x. This means that 3/1 flipped over is 1/3 and the opposite of a positive is a negative.
u just gotta find the area
Answer:
28
Step-by-step explanation:
Julius is going to have a meal with an appetizer and an entrée.
There are 3 choices for the appetizer and 4 choices for the entrée.
How many different meals does he have to choose from?
I think he have choose 10
A single, standard number cube is tossed. What is the probability of getting a number other than 6?
A. 1
B. start fraction 1 over 3 end fraction
C. start fraction 5 over 6 end fraction
D. start fraction 1 over 6 end fraction
Answer:
c. start fraction 5 over 6 end fraction
Step-by-step explanation:
there are six numbers on a cube
1, 2, 3, 4, 5, 6
there are 5 other numbers other than 6
5/6
5 = other than 6
6 = total numbers
PLS HELP WITH THIS QUESTION!!!!! I’ll give brainliest
Answer:
∠P = 21
Step-by-step explanation:
angle P is an inscribed angle and arc RQ is the arc it intercepts
The measure of an inscribed angle is equal to half the measure of the arc it intercepts.
Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )
So if arc RQ = 42°
Then ∠P = 42/2
42 / 2 = 21
Hence, ∠P = 21°
PLS HELP, WILL GIVE BRAINLIEST AND POINTSSSSSS
i'm rlly confused on this, I think maybe it's .D???
Pls someone answer and explain!!!
and no links, please and thankyou
Answer:
i think your right - it might me d cause woudn't the gravity and the surface cancel out and the force would make it move because there is no opposite force i donkt know tho
Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)
Answer:
How do I ask a question on here?
Step-by-step explanation:
Answer: 12
Step-by-step explanation: you welcome
A homeowner wants to determine how much paint is needed to paint the walls of his living room.
Choose the two variables the homeowner should most consider when deciding how much paint is necessary.
A.
the cost of one gallon of paint
B. the number of rooms in the house
c. the number of walls in the living room
D. the area of the walls in the living room
E. the area that one gallon of paint will cover
Answer:A
Step-by-step explanation:becouse it makes sen e
Answer:
c & d
Step-by-step explanation:
A local theater charges $7.50 for adult tickets and $5.00 for discount tickets. The theater needs to
make at least $240 to cover the rent of the building. If 20 discount tickets are sold, how many adult
tickets must be sold?
A-less than 10 tickets
B-15 adult tickets
C-at least 19 adults tickets
D-no more than 8 adult tickets
Answer:
C
Step-by-step explanation:
the theater sold 20 discount tickets=5*20=100$
the number of tickets for adult must be =140/7.5=18.7 ~19 tickets at least
Make y the subject in 5x + y =12
Answer: M= -5
Step-by-step explanation: -5x+12
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
y = 12 - 5x
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
4 4
Darren makes $10 per hour. Next semester, he will be
making $14 per hour. What rate of increase does this
represent? Round the answer to the nearest tenth of a
percent.
a) 28.5%
b) 40%
c) 71%
d) 60%
Answer:
40
Step-by-step explanation:
[tex]14 - 10 = 4 \\ \frac{4}{10} \times 100 = 40[/tex]
Solve the quadratic formula for (5x+3)(5x-3)=19X
Must show all workings
The value of x for the given quadratic equation is (19+[tex]\sqrt{1261}[/tex])/50,
(19-[tex]\sqrt{1261}[/tex])/50.
What is a quadratic equation?It is in the form of a[tex]x^{2} +bx+c[/tex]. It is simply an equation and we have to solve for x.
How to solve a quadratic equation?If we solve the given equation we will be able to get the following equation
[tex]25x^{2} -19x-9=0[/tex]
x=(-b+-[tex]\sqrt{b^{2}-4ac }[/tex])/2a
when we put b=19 a =25 c =-9
we will get x=[tex](19+\sqrt{1261} )/50 , (19-\sqrt{1261} )/50[/tex].
Learn more about quadratic equations at https://brainly.com/question/1214333
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