Answer:
The width of the prism is 2 cm
Step-by-step explanation:
The given parameters are;
The volume of the prism = 170 cm³
The length of the prism = 5 cm
The height of the prism = 17 cm
The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w
Therefore;
The volume of the prism = 5 cm × 17 cm × w = 170 cm³
Which gives;
w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm
∴ The width of the prism = 2 cm.
The width of the prism is 2cm given length of the prism is 5 centimeters, and the height of the prism is 17 centimeter.
The formula for calculating the volume of a rectangular prism is expressed as:
V = LWH where:
L is the lengthW is the widthH is the heightGiven the following:
V = 170cm³
L = 5cm
H = 17cm
Required
Width
Substitute the given values into the formula:
170 = 5 * 17 * W
170 = 85W
W = 170/85
W = 2cm
Hence the width of the prism is 2cm
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Kevin went to see his favorite sports team play his car can go 320 miles on one lank of gas. If he used 20% of a full tank of gas, how many miles did he travel?
Answer:
64 miles
Step-by-step explanation:
If he used 20% of the gas, he can go 20% of the miles
20% of 320 miles
.20 * 320
64 miles
Answer:
[tex]\huge\boxed{\sf 64\ miles}[/tex]
Step-by-step explanation:
A total tank travels to 320 miles
Let the miles be x
He used 20% of the full tank
=> 20% of the full tank = x
=> [tex]\frac{20}{100} * 320 = x[/tex]
=> 2 * 32 = x
=> x = 64 miles
So, He traveled 64 miles in 20% of the tank.
What is the value of y? Find the following angle measures. m
Answer:
10
Step-by-step explanation:
(10y+6) + (8y-6) =180
18y=180
y=10
JKM=10y+6=10(10)+6=106
MKL=8y-6=8(10)-6=74
Answer:
Step-by-step explanation:
10y+6+8y-6=180
then,y=10
therefore,
angle(JKM)=106
angle(MKL)=74
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (-5,18), endpoint (3,13)
Answer:
Hey there!
If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)
Let me know if this helps :)
PLZ ANSWER ASAP. DUE IN 1 HOUR. DIRECTIONS ARE ON THE SCREENSHOT
Answer:
DBH is an obtuse angle.
Step-by-step explanation:
D is around the 15 degree mark. h is around the 144 degree mark. Subtract 15 by 15 and 144 by 15 degrees, so that way angle D would be on the 0. You would get 129 degrees, which still makes it obtuse because is greater than 90 degrees
I hope this helps
HELP ASAP!!!!! The expression 300n gives the number of 2.) calories in n cups of dry oatmeal. What is the number in 2 ¼ cups of dry oatmeal? (hint: just multiply)
Answer:
675 calories
Step-by-step explanation:
I don't know about you but for me it's easier to multiply with decimals. I turned 2 1/4 to 2.25 and because n is right next to 300 we multiply (2.25 x 300) to get 675.
Hope that helps, and have a great day!
please help me its due soon
Answer:
it is 17.2 + 16.4
Step-by-step explanation:
because 8.6x2= 17.2
then 5.2x2=10.4
then 3+3=6
lastly 10.4+6= 16.4
so that makes it 17.2+16.4
Determine the value of g-1(4).
help with this plz
Answer:
g-1(4)=-5
Step-by-step explanation:
because inverse mean that you will switch every x and y on the original graph
for example; point( 4,-2) inverse will be (-2,4)
so to find x=4 on the inverse than just find y=4 on the origin graph
39. If you run at an average speed of 10 mi/h, how long will it take you to run 2.5 miles?
Answer:
25 mph
Step-by-step explanation:
Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.
Or just move the decimal point one space because of the zero in 10.
Hope this helps, and have a great day!
If i run at an average speed of 10 mi/h, the time needed for me to run 2.5 miles is, 0.25 hour
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
An average speed = 10 mi/h,
If distance travelled = 2.5 miles
Time needed = ?
Time needed = Distance/Speed
= 2.5 / 10
= 0.25
Hence, The time needed is 0.25 hour
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Boris downloads a 140MB file from the internet. He downloads 60% of the file in 2 minutes, how many megabytes (MB) of the file has he downloaded?
Answer:
84 MB
Step-by-step explanation:
60% of 140 MB is:
140*60/100 = 84 MBBoris has downloaded 84 MB in 2 minutes
Sarah has a wooden board that is 12 feet long. If she cuts three 28-inch pieces from the board, how many inches of board will she have left?
Answer:
60 inches
Step-by-step explanation:
12 feet=144 inches
28in x 3 = 84
144-84= 60
Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
What do we mean by conversion of units?The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.
What are the conversion factors between inch and foot?The conversion factor between inch and foot are:
1 foot = 12 inches,
or, 1 inch = 1/12 feet.
How do we solve the given question?We are informed that Sarah has a wooden board that is 12 feet long.
We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.
To solve the problem, we convert the length of the wooden board from feet to inches.
The board is 12 feet long. We know 1 foot = 12 inches.
∴ 12 feet = 12*12 inches = 144 inches.
∴ Length of the board = 144 inches.
Size of the piece cut by Sarah = 28 inches.
She cuts 3 such pieces,
∴ Total piece of board cut = 3*28 inches = 84 inches.
∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.
∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
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Complete the explanation for why 2−3 is the same as 1 23 . Look at the pattern below. As the exponent goes down by , the value is of what it was before. 23 = 8, 22 = 4, 21 = 2, 20 = 1, x−x = 1 2 , x−x = 1 4 , x−x = 1 8 = 1 23
[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.
.Write a division equation so that it has a solution of -2
URGENT! Please help me solve this question with full solutions
Answer: C) 2/3
========================================================
Explanation:
Let's cross multiply and then get everything to one side
x/(2x-1) = (2x+1)/(x+2)
x(x+2) = (2x-1)(2x+1)
x^2+2x = 4x^2-1
0 = 4x^2-1-x^2-2x
0 = 3x^2-2x-1
3x^2-2x-1 = 0 .... see note below
x^2-(2/3)x-1/3 = 0
In that last step, I divided everything by the leading coefficient 3. That way, the leading coefficient becomes 1.
It turns out that anything in the form x^2-px+q has roots m and n such that
p = m+n
q = m*n
In short, the roots add to the negative of the middle coefficient, and they also multiply to the constant term. Again this only applies to quadratics where the leading coefficient is 1.
Comparing x^2-(2/3)x-1/3 with the form x^2-px+q, we see that
p = 2/3
q = -1/3
Therefore, p = m+n = 2/3
If you're curious why this works, it's because (x+a)(x+b) expands out to x^2+(a+b)x+ab, and note how the roots here are x = -a and x = -b.
-------------------------
Note: Another route would be to solve 3x^2-2x-1 = 0 for x using any method you prefer (I recommend the quadratic formula). You would get the two solutions x = -1/3 and x = 1. They add to (-1/3)+1 = (-1/3) + (3/3) = (-1+3)/3 = 2/3.
What is the smallest power of 10 that would exceed 999,999,999,991
Answer:
Answer is 10^11 is the smallest power that would exceed 999,999,999,991
Answer:
10 to the power of 13 or 10^13
Find three consecutive numbers whose sum is 84.
You need 3 numbers, divide the total by 3:
84/3 = 28
This is the middle value.
Now you use the one lower and the one higher:
27 + 28 + 29 = 84
The numbers are 27, 28, 29
Answer: 26, 28, 30
Step-by-step explanation:
26, 28, and 30 follow each other in consecutive order without haps of more than two and are arranged smallest to largest.
1. Analyze Identify the relevant concepts. Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents. Solve Apply the concepts to this problem. Set up the problem. (__X 10^30) ÷ (__X 10^-2), Divide the coefficients. (__÷1.5) = ___,Then subtract the exponents. 10^30÷10^-2)=10^30-(-2), Combine the results of the two operations. (2.0 X 10^30) + (1.5 X 10^-2) = __X___, The star's mass is _________.
2. What is the mass of a star that is equal to the sun's mass divided by 1.5×10^-2? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. ASAP PLEASE!!
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
1.
Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.
let The sun's mass is 2.0×10^30 kg.
and the coefficient = 1.5x10^-2
divide the coefficients
2.0 ÷ 1.5 = 1.3
Then subtract the exponents.
= 10^30 - 10^-2
= 30 - (-2)
= 32
Combine the results of the two operations
= 1.3 and x 10^32
= 1.3 x 10^32
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
2.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = sun's mass divided by 1.5×10^-2 kg
find:
Express the answer in Scientific notation.
mass of a star = 2.0×10^30 kg
1.5×10^-2 kg
mass of a star = 1.3 X 10^32 kg
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
i got them right on my quiz
Evaluate the stacked function machines for an input of 21*
15 - [10 + (3 - 2)2] + 6
Answer:
9
Step-by-step explanation:
Use PEMDAS
Parentheses (Bracketts go after parentheses but are not included in PEMDAS)
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
3
Step-by-step explanation: 15-(10+(3-2)2)+6
3-2=1x2=2+10=12 15-12=3
WILL GIVE BRIANLIEST!!!!!!!!!!!!!!!!!!!!! picture down below ↓↓↓↓↓↓
Answer:
C
Step-by-step explanation:
A and c are parallel
B and d are parallel
A and c are intersecting
Which expression is represented by the diagram?
Answer:
Its A.
Step-by-step explanation:
hope this helps.
The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).
What is the expression?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In given figure the, one box represents -1
Now there are total 6 box = -1 times 6 = -6
Now the last box is removed it means it should be subtracted from all the box
-6 - ( One box) = -6 -(-1) hence option A will be correct.
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Can someone please tell me how to simplify [tex](2r^2t/4t^2)^2[/tex], please?
Sam takes the bus 3/5 of the distance from home to school. He then walks one block to his friends house and rides with the friend the remaining seven blocks to school. What fractional part of the trip did he ride with his friend?
Answer:
2/5
Step-by-step explanation:
3/5 + ____ = 5/5
2/5
Point R is on line segment \overline{QS} QS . Given QR=4,QR=4, QS=4x,QS=4x, and RS=5x-9,RS=5x−9, determine the numerical length of \overline{RS}. RS .
Answer:
RS = 16
Step-by-step explanation:
The segment addition theorem tells you ...
QR +RS = QS
4 + (5x-9) = 4x
x = 5 . . . . . . . . . . . add 5-4x
Then the length of RS is ...
RS = 5(5) -9
RS = 16
Find the Greatest Common Factor between 42 and 45
Answer:
3
Step-by-step explanation:
The Greatest Common Factor between 42 and 45 is 3.
What is The Greatest Common Factor (GCF)?Greatest Common Factor of two or more numbers is defined as the largest number that is a factor of all the numbers.
Given two numbers are 42 and 45,
42 = 7*2*3
45 = 5*3*3
GCF = 3
Hence, The Greatest Common Factor between 42 and 45 is 3.
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Which expression is equivalent to 8 + n? 8n n - 8 n + 8 n = 8
Answer:
n+8
Step-by-step explanation:
8n=8(n)
n-8=n-8 (Since there is no commutative property in subtraction)
n=8 means 8=n
n+8=8+n
Because of commutative property in addition.
Hope this helps ;) ❤❤❤
One month Abdul rented 3 movies and 5 video games for a total of . The next month he rented 6 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.
Answer:
Video Games = $5.25
Movies = $1.25
Step-by-step explanation:
(3x + 5y = 30)2
6x + 2y = 18
Video Games (y) = 5.25
6x + 10y = 60
- 6x + 2y = 18
(8y)/8 = (42)/8
6x + 2(5.25) = 18
6x + 10.5 = 18
6x = 7.5
x = 1.25
Double Check by plugging in the numbers
Each expression with the appropiate property:
Answer:
it denotes distributive property of multiplication over addition
distributive property of multiplication over addition. The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
Can anyone Help please.
Answer:
D
Step-by-step explanation:
The remaining material can be calculated as
volume of larger cube - volume of smaller cube
= a³ - b³ ← difference of cubes which factors in general as
= (a - b)(a² + ab + b²) → D
Determine the slope of the line passing through the points (9,8) and (1,3).
slope =
Answer:
5/8
Step-by-step explanation:
slope: (y₂ - y₁) / (x₂ - x₁)
(3 - 8) / (1 - 9) = -5/-8 = 5/8
Answer:
m= 5/8
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given are: (1,3) and (9,8). Therefore,
[tex]x_{1}=1 \\y_{1}=3 \\x_{2}=9 \\y_{2}=8[/tex]
Substitute the values into the formula.
[tex]m=\frac{8-3}{9-1}[/tex]
Perform the operation in the numerator. Subtract 3 from 8.
[tex]m=\frac{5}{9-1}[/tex]
Perform the operation in the denominator. Subtract 1 from 9.
[tex]m= \frac{5}{8}[/tex]
The slope of the line is 5/8
7.
Which point on the number line best represents the location of V92?
Q
MN
.
P
ta
8
9
10
A.
Point M
B. Point N
C.
Point P
D. Point Q
Answer:
C. Point P
Step-by-step explanation:
sqrt(92) = 9.59
The point closest to 9.59 is point P.