Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?
Answer:
Step-by-step explanation:
Let's do an example.
60:90:100
100 plus 90 plus 60 is 250
ben gets 90 of that 250
or 9/25.
Jennifer is buying a new dress for the school dance. The dress is marked 34.50$ and there is a sales tax of 6 1/2% what is the tax that jennifer must pay
Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read
Answer:
Step-by-step explanation:
On Monday, Nora read ¼ of the book, therefore she is left with ¾ of the original book.
Then on Tuesday, she read 2/5 of what was left on Monday therefore she is left with 3/5 of ¾ of the original book. This is equal to:
(3/5) (3/4) = 9/20
She still needs to read 9/20 of the book or 0.45 or 45% of the book.
2x 1/2 x3 2/3 im goin to be need a lot of helpppp
Answer:
3.66666666667
or
3.67(rounded to the nearest tenth)
Step-by-step explanation:
2x 1/2 x3 2/3 = 3.66666666667
Ace Carlos
Developer
Answer:
=3 2/3
Step-by-step explanation:
2 x 1/2 x 3 2/3
2 x 1/2 = 2/2 = 1
1 x 3 2/3
=3 2/3
A fishing boat has snagged a fish and want to know the depth of the fish. If the there is
18 meters of fishing line out and the angle of depression is 24º, how deep is the fish?
Round the nearest tenth of a meter.
7.3 meters
Step-by-step explanation:
hypotenuse = 18
angle depression = 24 degrees
missing side = opposite, x
since this has opposite and the hypotenuse were going to use sin
sin(24 degrees) = .40673664307
multiply .40673664307 by the length (18) = 7.32125957526 rounded down =7.3 meters
The depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A fishing boat has snagged a fish and wants to know the depth of the fish. If there are 18 meters of fishing line out and the angle of depression is 24º
We can draw a right-angle triangle:
From the right-angle triangle:
Let x be the depth of the fish.
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying sin ratio:
sin24 = x/18
x = 18sin24
x = 7.32 meters ≈ 7.3 meters
Thus, the depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.
Learn more about trigonometry here:
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Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?
Answer:
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Step-by-step explanation:
Given that :
Let
Bruno's age = x
Mothers age = 8 + 2x
Father's age = 8 + 2x + 3 = 2x + 11
x + 8 + 2x + 2x + 11 = 94
5x + 19 = 94
5x = 75
x = 75 /5
x = 15
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
1 point
Juan got 1603 as the sum of 80.1 and 802. Where did he make his
mistake? *
Answer:
882.1
Step-by-step explanation:
The Sum means addition if he got this answer he most likely multiplied those two numbers because he thought of multiplication Sum is just purely addition nothing else
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
The table shows the number of tacos that Taco Bus sold in 4 months.
Tacos Sold
May
9,325
June
12,832
July
20,005
August
8,465
Part A
Which statements about the table are correct? Select all that apply.
A.
More tacos were sold in June and August combined than in July.
B.
The Taco Bus sold 8,173 more tacos in July than in June.
C.
More tacos were sold in July and August combined than in May and June combined.
D.
In the 4 months, the Taco Bus sold about 500,000 tacos in all.
E.
There were 22,157 tacos sold in May and June combined.
Part B
How many more tacos were sold in July than in May and August combined? Enter your answer in the box.
Answer:
Step-by-step explanation:
A: Correct
June + August > July
12,832 + 8,465 > 20,005
21,297 > 20,005
B: Wrong
July = June + 8,173
20,005 = 12,832 + 8,173
20,005 ≠ 21005
C: Correct
July + August > May + June
20,005 + 8,465 > 9,325 + 12,832
28470 > 22157
D: Wrong
9,325 +12,832 +20,005 + 8,465 = 50627
E: Correct
May + June = 22,157
9,325 + 12,832 = 22,157
22,157 = 22,157
Part B: 2215
July - May + August = ?
20,005 - 9,325 + 8,465 = ?
20,005 - 17790 = 2215
Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=
Uh yes I’m sorry I am just trying to get answers
Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is x +
0.2x.
Which expression is equivalent and why?
O A. (0.2) because the cost of the haircut can be factored out.
B. 1.02x because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
C. 1.2x because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x because adding $20 to the haircut is the same as multiplying
the cost by 1.2.
Answer:
it is c
Step-by-step explanation:
Answer:C.
Step-by-step explanation:
Ape x
You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost
Answer:
0.45 cents
Step-by-step explanation:
We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.
2.70 ÷ 6 = 0.45
Therefore each pencil costs $0.45
I hope this helps, have a great day! :)
Ok so I need help ASAP
Answer:
S'(-6, 3); T'(-6, 4); U'(4, 4); V'(4, 3)
Step-by-step explanation:
S(-4, 7)
T(-4, 8)
U(6, 8)
V(6, 7)
(x - 2, y - 4)
S'(-4 - 2, 7 - 4)
S'(-6, 3)
T'(-4 - 2, 8 - 4)
T'(-6, 4)
U'(6 - 2, 8 - 4)
U'(4, 4)
V'(6 - 2, 7 - 4)
V'(4, 3)
2(2-x) =4(-2+x)
What’s the answer?
(With work please)
Answer: x=2
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2(2−x)=4(−2+x)
(2)(2)+(2)(−x)=(4)(−2)+(4)(x)(Distribute)
4+−2x=−8+4x
−2x+4=4x−8
Step 2: Subtract 4x from both sides.
−2x+4−4x=4x−8−4x
−6x+4=−8
Step 3: Subtract 4 from both sides.
−6x+4−4=−8−4
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Keesha will mow grass for $8 per hour write in standard form
Answer: y = 8x
Step-by-step explanation:
What is an equation of the line that passes through the points (-5, 1)(−5,1) and (5, 3)(5,3)?
Answer:
x=-5 i think
Step-by-step explanation:
rohit has two pieces of ribbon pices one 20cm long and other 65 cm long .he wants to cut them into smaller pices of equal length for craft project in such a way thaty no ribbon is left.
Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?
Answer: 8.125 inches
Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125
Prognogg
Zoe found 13 large
seashells at the beach.
Evan found 12 and Layla
found 9. If they share them
equally, how many will
each get?
Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat
Step-by-step explanation:
vat %=13%
vat=143
vat = vat% of sp (i.e sp without vat)
143 = 13/ 100 of sp
143*100=13sp
14300/13 = sp
sp=4766.67
therefore the cost of bag without vat is rs.4766.67
Eighteen subtracted from half of a number (In an algebraic expression)
Answer:
1/2x-18
Step-by-step explanation:
18 subtracted from half of a number
We assume that the "number" is x
so 1/2x is the half of a number
We now need to have 18 subtracted from that so 1/2x-18
The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How much money is spent on students each year? Write your answer in scientific notation first.
Answer:
10700 to the 7 power ould be your answer
Step-by-step explanation:
10700
andy has 901 cards for a big game if he gives away 789 how much does he have left
Answer:
the answer is 112
Step-by-step explanation:
901-789=112
HELP MEEEEEE
The following graph shows a bus's record of the number of passengers it picked up over the course of a day.
Bus Passengers by Hour
75
75
70
65
62
58
55
Passengers
50
45
43
40
41
36
37
31
28
Time
How many people rode the bus over the course of the day?
7:00 am
8:00 a.m.
9:00 am
10:00 am
11:00 a.m.
12:00 pm
1:00p.m.
2:00 p.m.
3:00 p.m.
4:00 p.m.
5:00 p.m.
6:00 p.m.
Answer:
40+62+58+43+36+55+41+28+31+37+75+64= 570 people
Step-by-step explanation:
If you add all the no.of people who rode the bus, you will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day and as you said, the graph given above is number of passengers who rode bus throughout the day. Also, do not look at the time given, it is useless according to the question.
I hope it helps.
There are 570 people rode the bus over the course of the day.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
From the values on the graph which is presented in the table above, the number of people who rode the bus during the 12.00 hour is 55.
If we add all the no.of people who rode the bus, tjen we will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day
Since the graph given above is number of passengers who rode bus throughout the day.
Therefore, we have;
40+62+58+43+36+55+41+28+31+37+75+64= 570 people
Learn more about the addition here;
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Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answer:
The E came before H
Step-by-step explanation:
mplify the expression:
| 5q + 84 - 94 + 84
Answer:
5q+74
Step-by-step explanation:
84-94 first which equals -10
then add that by 84 which equals 74
lastly just bring the 5q and 74 together making your expression
combine like terms -3.6-1.9t+1.2+5.1t
Help me pleaseeeeeeeeeeee
Answer:
slope = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (1, 6)
m = [tex]\frac{6-2}{1+4}[/tex] = [tex]\frac{4}{5}[/tex]
len won a gift card for 100 cups of tea
Answer:
what is the question?
Step-by-step explanation:
Answer: nice going Len
Step-by-step explanation:
What's he gonna do with all the tea