The first number is 8
Solution:
Let the first number be "x"
The second number is 6 times the first
Second number = 6x
The third number is 15 less than the second
Third number = second number - 15
Third number = 6x - 15
The sum of three numbers is 89
Therefore,
First number + second number + third number = 89
[tex]x + 6x + 6x - 15 = 89\\\\13x - 15 = 89\\\\13x = 89+15\\\\13x = 104\\\\Divide\ both\ sides\ by\ 13\\\\x = 8[/tex]
Thus the first number is 8
A solid figure is
separated into two rectangular prisms.
The volume of Rectangular Prism A is
80 cubic feet. Rectangular Prism B has
a length of 6 feet and a width of 5 feet.
The total volume of the solid figure is
200 cubic feet. What is the height of
Rectangular Prism B? Show your work
and explain your answer.
Thank you!
Answer: 4 feet.
Step-by-step explanation:
Their is one rectangular prison divided into two.
The volume of the first one is
V1= L X H X W=80.
Volume of the second one is
V2= L X H X W
V2= 6 X H X 5
V2 = 30H
Now from the question, the total volume is 200cubic feet which means V1 + V2 = 200, recall that V1=80 and V2=30H, so we say;
80+30H=200, collecting the like term we have, 30H=200-80.
30H=120, divide both side by 30
30H/30=120/30
H= 4feet.
Height is 4feet.
Final answer:
To find the height of Rectangular Prism B, subtract Rectangular Prism A's volume from the total volume to get Prism B's volume (120 cubic feet), then divide by the product of its length and width. The height is 4 feet.
Explanation:
The question is about finding the height of Rectangular Prism B given that the solid figure it's part of (when combined with Rectangular Prism A) has a total volume of 200 cubic feet, and that Rectangular Prism A has a volume of 80 cubic feet. Considering volume calculations for rectangular prisms are done using length × width × height, we can find the height of Prism B by isolating height in the formula. Since Prism B has a length of 6 feet and a width of 5 feet, and we know the combined volume of both prisms, we first subtract the volume of Prism A from the total volume to find the volume of Prism B, which is 120 cubic feet (200 cubic feet - 80 cubic feet).
Volume of Prism B = 120 cubic feet. The formula for volume is then applied as follows:
Volume = Length × Width × Height
120 cubic feet = 6 feet × 5 feet × Height
Height = 120 cubic feet / (6 feet × 5 feet)
Height = 120 cubic feet / 30 square feet
Height = 4 feet.
Therefore, the height of Rectangular Prism B is 4 feet.
Height:10
radius: 3
What is the volume of the cone to the nearest whole number?
A) 31 m3
B) 94 m3
C) 188 m3
D) 283 m3
Answer:
It is 94
Step-by-step explanation:
The volume of a cone with a height of 10 meters and a radius of 3 meters is
94 m³.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
Given, A cone has a radius of 3 meters and a height of 10 meters.
Therefore, The volume of this cone is,
= (1/3)π(3)²×10 m³.
= 30π m³.
= 30×3.14 m³.
= 94.2 m³ or 94 m³.
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Sam answered 36 questions correctly out of 60. Express his score as a percentage.
Answer:
60%
Step-by-step explanation:
36 / 60 = .6
We turn .6 into an percentage which gives 60%
Answer:
60
Step-by-step explanation:
because thunk of 30/60 that is 50 percent then at 6 and you get 60
What does 15+d>10 equal
Hey there!
15 + d > 10
OR YOU COULD SAY
d + 15 > 10
SUBTRACT 15 to BOTH SIDES
d + 15 - 15 > 10 - 15
CANCEL out: 15 - 15 because that gives you 0
KEEP: 10 - 15 because that helps compare with your d-value
10 - 15 = -5
Therefore, d > -5
Answer: d > -5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Two ninths of the eighteen people are eating cookies how many people are eating cookies
Answer:
4 people were eating cookies.
Step-by-step explanation:
2/9 of 18 people are eating cookies
= 2/9 × 18
= 2 × 2
=4 people
Therefore 4 people were eating cookies.
Answer:
4
Step-by-step explanation:
2/9=.222222222222 18*.222222222222=4
what is 0.8 written as a decimal?
Answer:
8/10
Step-by-step explanation:
I think that you are probably looking for 0.8 as a fraction because it is a decimal already.
So, 0.8 means %80 such as 8 points out of 10 points
This can be represented as 8/10
There are also many other ways to write it, but it will always simplify down to 4/5. Example: 8/10, 16/20, 24/30
Answer:0.008
Step-by-step explanation:
Write the inequality that represents the sentence. The product of 7 and a number is at least 30.
seven is greater than or equal to 30
What fraction of an hour is 50 minutes?
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
1 hour=60 mins, 50/60=5/6
The answer is 5/6
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The fraction is expressed as 50 over the number of minutes in an hour.
note 1 hour = 60 minutes, thus
fraction = [tex]\frac{50}{60}[/tex] ← divide (cancel ) 50 and 60 by 10
fraction = [tex]\frac{5}{6}[/tex] ← in simplest form
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376
The equation shows how to find the percent increase:
[tex]Percent\ increase = \frac{421-376}{376} \times 100[/tex]
Solution:
Given that,
A town’s population of children increased from 376 to 421 during the past year
To find: percent increase
The percent increase is given by formula:
[tex]\text{Percent increase} = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100[/tex]
From given,
Initial value = 376
Final value = 421
[tex]Percent\ increase = \frac{421-376}{376} \times 100\\\\Percent\ increase = \frac{45}{376} \times 100\\\\Percent\ increase = 11.968 \%[/tex]
Thus the equation is found and solved
Answer: b. 2+2=+=./.'+2009+4=69
Step-by-step explanation:
am pro
Which value of the makes \dfrac{8+h}{10}=1
10
8+h
=1start fraction, 8, plus, h, divided by, 10, end fraction, equal, 1 a true statement?
Answer:
h = 2
Step-by-step explanation:
(8+h)/10 = 1
8+h = 1×10
8+h = 10
h = 10-8
h = 2
The value of h that makes the equation [tex]\(\frac{8+h}{10} = 1\)[/tex] true is (h = 2).h=2 is the value that, when substituted into the equation, ensures that the left side of the equation (8+h) is equal to the right side (10 times 1).
To find the value of h that satisfies the
equation: [tex]\(\frac{8+h}{10} = 1\)[/tex],
we can start by understanding the equation. It represents a fraction where the numerator is the sum of 8 and h, and the denominator is 10. The fraction is set equal to 1, which means both sides of the equation should be equal.
To solve for h, we can cross-multiply, which simplifies to
(8 + h = 10)
Now, to isolate h, we need to get it on one side of the equation. Subtracting 8 from both sides yields (h = 2).
So, when h = 2, the equation becomes
[tex]\(\frac{8+2}{10} = 1\)[/tex] , which simplifies to [tex]\(\frac{10}{10} = 1\)[/tex],
making it a true statement.
In essence, h=2 is the value that, when substituted into the equation, ensures that the left side of the equation (8+h) is equal to the right side (10 times 1). This demonstrates the solution's validity and satisfies the equation's condition.
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F(x) { X_1 if x≤-2
{ 2x-1 if -2 < x ≤4
{ 3x +8 if x>
Graph the piecewise function
Step-by-step explanation:
go to desmos.com and type the following on separate lines:
y=x+1{x≤-2}
y=2x-1{-2<x≤4}
y=3x+8{x>4}
14/y=112/72,what is y someone pls help
Answer:
9
Step-by-step explanation:
14/y=112/72
simplify 112/72 into 14/9
14/y=14/9
y=9
The radius of a circle is 4 yards. What is the circle’s circumference?
Answer:
25.13
Step-by-step explanation:
The formula of a circumference of a circle is C= 2x π x r
c = 2x π x 4 yards
c= 25.13 yards
does Y-9 equal 6+x. Why or why not
Answer: NO
Step-by-step explanation:
it is not because they have two different variables x and y
and has different constant values +6 and -9
Round to estimate the quotient
199,988 ÷17
Answer:
11764
Step-by-step explanation:
199,988 ÷17 = 11764
3.4.13
E Question Help
Scott invested a total of $5900 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 6% per year. If
Scott earned $540.00 in interest during a single year, how much did he have on deposit in each bank?
Scott had $ 2,800 on deposit at the bank that payed 12% interest.
Answer:
$3100 at 12%$2800 at 6%Step-by-step explanation:
Let x represent the amount on deposit at 12%. Then 5900-x is the amount deposited at 6%, and the total interest earned is ...
12%·x +6%·(5900 -x) = 540
0.06x + 354 = 540 . . . . . . . . eliminate parentheses
0.06x = 186 . . . . . . . . . . . . . . subtract 354
x = 3100 . . . . . . . . . . . . . . . . . divide by 0.06
Scott invested $3100 at 12% and $2800 at 6%.
_____
Quick sanity check
The average interest earned is $540/$5900 ≈ 0.0915 ≈ 9.15%. This is more than the average of 12% and 6%, which is (12+6)/2 = 9 percent. Hence more than half of the money must be deposited at 12%.
An equation is shown below.
3(x-2)+7x=1/2(6x-2)
How many solutions, if any, does the equation have?
Answer:
x=5/7
Step-by-step explanation:
3(x-2)+7x=1/2(6x-2)
3x-6+7x=6/2x-2/2
10x-6=3x-1
10x-3x-6=-1
7x-6=-1
7x=-1+6
7x=5
x=5/7
Devaughn is 15 years younger than Sydney. The sum of their ages is 25. What is Sydney's age?
Answer:
20
Step-by-step explanation:
Let Sydney's age be represented by s. Then the sum of the two ages is ...
s + (s-15) = 25
2s = 40 . . . . . . add 15
s = 20 . . . . . . . divide by 2
Sydney's age is 20.
Math,,,,,,,,,?????????
the picture isn't clear, but my guess is.... c?
A 24 ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2000 per day diet. What percentage of a 2500 calorie per day diet would this same drink constitute?
Answer:
the answer is 20 percent
Answer:
the answer would be c) 20‰
Step-by-step explanation:
I REALLY NEED HELP!!!! WILL MAKE BRAINLIEST!!!!!!!!!!!
The ratio of men to women working for a company is 5 to 3. If there are 63 women working for the company, what is the total number of employees?
Answer:
168 employees
Step-by-step explanation:
5:3
63 / 3 = 21
5*21=105
105+63=168
What is 25x^2 above 5x
Answer:
[tex] \frac{25 {x}^{2} }{5x} \\ = \frac{5 \times 5 \times x \times x}{5 \times x} \\ = 5x[/tex]
A 1.5-meter snake lives in the ceiling of a college’s Chemistry Building. One day, she decides to go outside, and slithers through a pipe at the speed of 15 centimeters per second. In 90 seconds, she slithers all the way through the pipe and her whole body is outside. How long, in meters, is the pipe? Note: 1 meter = 100 centimeters
Answer:
13.5
Step-by-step explanation:
Answer:
[tex]The~answer~for~this~question~is:135,000[/tex]
Step-by-step explanation:
[tex]15[/tex] × [tex]90=1350[/tex]
[tex]and,[/tex]
[tex]1350[/tex] × [tex]100=135,000[/tex]
[tex]It's~that~simple![/tex]
find ordered pair solution x= -5 (7, -5) (-5, 0) (-5, 6)
Answer:
The correct answer is either (-5,0) or (-5,6)
Step-by-step explanation:
An ordered pair is described as (x,y)
Since x=-5, the last two work just fine, but we don't have a y-coordinate value, so I'm not sure on the details of that
god dang this is my last question will someone please like just help me on this? I literally made 3 questions and nobody is helping, i just need a complete sentence? my goodness lord please!! i see everyone else not getting ignored, but i'm the only one that is
Kiki has $2.48 in her change purse and $1.69 in her hand. Jordan has $3.05 in his left pocket and $1.09 in his right pocket. Who has more money, and how much more money does that person have? Write your answer in a complete sentence.
Answer:
kiki has $4.17 and jordan has $4.14 kiki has 0.03 more than jordan
Step-by-step explanation:
If you add up the numbers for kiki you get $4.17 and if you do the same for jordan with the numbers they gave you for him you get $4.14 then you just minus 4.17 and 4.14 and thats how you get 0.03.
Answer:
Kiki has $0.03 more than Jordan, meaning Kiki has more money.
Step-by-step explanation: It's simple! Add 2.48 + 1.69 = 4.17 (This is Kiki's total amount) And then add 3.05 + 1.09 = 4.14 (This is Jordan's total amount)
As we can see, Kiki has more money. To find the difference we simply do 4.17 - 4.14 = 0.03 (:
form the intersection for the followng set
X={0,10,100,1000}
Y={100,1000}
X ∩ Y =
Answer:
x=0
Step-by-step explanation:
Solve R=M + B, for B.
Answer:
B = R - M
Step-by-step explanation:
1. R = M + B Subtract M
2. R - M = B
can someone help me??
Answer:
1st option: 60°
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
1st option: 60°
Step-by-step explanation:
Please see attached picture for full solution.
Can you please help me
area of the rectangle = 8 * 18 = 144ft
area of circle = pi*r^2 = pi * ((18-12)/2)^2 = pi * (3)^2 = approx. 28.27ft
total = 144 + 28.27 = 172.27ft