Answer:
The volume is multiplied by 8.
Step by step explanation:
Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.
The volume of a right rectangular prism with length l, width w, and height h is V=lwh.
Therefore, the volume of the original prism is lwh.
The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.
To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.
V=2l·2w·2h
Simplify.
V=8lwh
The new volume is 8lwh.
If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.
Therefore, the new volume is the original volume multiplied by 8.
Barbara Cusumano worked 60 hours last week. Of those hours, 40 hours were paid at the regular-time rate of $12.50 an hour, 18 hours at the time-and-a-half rate, and 2 hours at the double-time rate. What was Barbara's gross pay for the week?
Answer:
$887.50
Step-by-step explanation:
Her gross pay is the sum of the pay amounts for each of the hour amounts:
pay = 40(12.50) +18(12.50)(1.5) +2(12.50)(2)
= (12.50)(40 +18(1.5) +2(2)) = 12.50(40 +27 +4) = 12.50(71)
pay = 887.50
Barbara's gross pay for the week was $887.50.
One batch of walnut muffins uses 1 cups of walnuts. How many cups of
walnuts are needed to make 3 batches of muffins ?
Answer:
3 cups of walnuts
Step-by-step explanation:
Step 1: We have a ratio of 1 cup of walnuts to 1 cup of walnut muffins
1:1
Step 2: We are given 3 batches of walnut muffins
?:3
Step 3: We know this is a 1 to 1 ratio
3:3
Therefore you will need 3 cups of walnuts to make 3 batches of muffins
How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? Cubes
Answer:
24
Step-by-step explanation:
Answer
24!
Step-by-step explanation:
Person above me is correct :)
How do I find perimeter and area
Answer:
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides
The area is measurement of the surface of a shape.
Hope this helps! （づ￣3￣）づ╭❤～
if the population of an anthill doubles every 10 days and there are currently 20 ants living in the ant hill, what will the ant hill population be in 20 days?
Find the slope of the line containing the points (7, 5) and (2, 4).
Answer:
[tex] \boxed{ \frac{1}{5} }[/tex]Step-by-step explanation:
Let the points be A and B
A ( 7 , 5 ) ⇒( x₁ , y₁ )
B ( 2 , 4 )⇒( x₂ , y₂ )
Now, let's find the slope of the line which contains these points:
Slope = [tex] \mathsf{\frac{y2 - y1}{x2 - x1} }[/tex]
plug the values
⇒[tex] \mathsf{ \frac{4 - 5}{2 - 7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{ - 1}{ - 5} }[/tex]
Reduce the fraction with -1
⇒[tex] \mathsf{ \frac{1}{5} }[/tex]
Hope I helped!
Best regards!
How do I find DG. A. 3 B. -7 c. 16 d. 13
Answer:
x = -7
Step-by-step explanation:
DE + EF + FG = DG
2x+17 + 8+2 = x+20
Combine like terms
2x+ 27 = x+20
Subtract x from each side
2x+27-x = x+20-x
x+27 = 20
Subtract 27 from each side
x+27-27 = 20-27
x = -7
HELP FAST 100 POINTS
Calculate the perimeter of parallelogram ABCD. Show all work.
Answer:
Hello,
Step-by-step explanation:
[tex]|AD|^2=(3-(-1))^2+(0-(-1))^2=16+1=17\\\\|AB|^2=1^2+3^2=10\\\\\boxed{Perimeter=2*\sqrt{17} +2*\sqrt{10}}[/tex]
Answer:
2*√10 + 2*√17
Step-by-step explanation:
In order to find the perimeter we must find the length of each side
To find the length of the sides we must use the distance formula
Distance formula:
d = √ ( x2 - x1 )² + ( y2 - y1 )²
Where the x and y values are derived from the points of each side
First let's find the length of AB
Coordinates of A: (-1,-1)
Coordinates of B: (0,2)
* Define variables *
( Remember coordinates are written as (x,y))
x1 = -1
x2 = 0
y1 = -1
y2 = 2
Now to find the length of AB we simply plug in the values of x and y into the distance formula
d = √ ( x2 - x1 )² + ( y2 - y1 )²
x1 = -1, x2 = 0, y1 = -1, y2 = 2
* Plug in values *
d = √(0 - (-1))² + (2 - (-1))
If there are two negative signs in front of a number then the two negative signs cancel out and the sign changes to +
d = √(0+1)² + (2+1)²
Simplify addition
d = √(1)² + (3)²
Apply exponents
d = √1 + 9
Simplify addition
d = √10
So the length of AB is √10
One of the properties of a parallelogram is that the opposite sides are congruent.
So the opposite side of AB (CD) is also equal to √10
Next we need find the length of AD
We use the same process we used for finding the length of AB
Coordinates of A: (-1,-1)
Coordinates of D: (3,0)
*Define variables*
x1 = -1
x2 = 3
y1 = -1
y2 = 0
Plug in the values of x and y into the formula ( formula is d = √ ( x2 - x1 )² + ( y2 - y1 )² )
*Plug in the values of x and y )
d = √( -1 - 3 )² + ( 0 - (-1)²
Simplify subtraction and addition
d = √(-4)² + (1)²
Apply exponents
d = √16 + 1
Add
d = √17
So the length of AD is √17
Like stated previously opposite sides in a parallelogram are congruent so the opposite side of AD (BC) also has a length of √17
Now to find the perimeter,
The perimeter is the sum of the side lengths
Side lengths of the parallelogram shown:
AB = √10
BC = √17
CD = √10
DA = √17
Perimeter = √10 + √17 + √10 + √17 = 2*√10 + 2*√17
Find the following products :-
( -7 x² ) × 2 y
please give answer immediately
and give it correct
please don't write incorrect answer
Answer:
- 14x²y
Step-by-step explanation:
Given
- 7x² × 2y
= - 7 × 2 × x² × y
= - 14x²y
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
Dimes: 3 times greater than nickels:
This means that:
[tex]y = 3x[/tex]
Quarters: One greater than double the number of nickels:
This means that:
[tex]z = 2x + 1[/tex]
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]
[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]
[tex]0.85x = 3.4[/tex]
[tex]x = \frac{3.4}{0.85}[/tex]
[tex]x = 4[/tex]
y and z:
[tex]y = 3x = 3(4) = 12[/tex]
[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at https://brainly.com/question/17096268
Evaluate: ab for a = 2 and b = 5
please mark this answer as brainlist
If the geometric mean of a and 15 is 9√15, find the value of a.
1. Find the value of x in the figure below.
Find the slope of the line that passes through (1, 13) and (4,9)?
The graph below represents which of the following functions?
Answer:
Option (B).
Step-by-step explanation:
From the figure attached,
There are two pieces of the function defined by the graph.
1). Curve with the domain (-∞, 2)
2). Straight line with domain (2, ∞)
1). Function that defines the curve for x < 2,
f(x) = |4 - x²|
2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]
f(x) = x
Therefore, Option (B) will be the answer.
Please answer this question now
Answer:
m<C = 102°
Step-by-step explanation:
Step 1: find measure of arc BC.
According to the Inscribed angle theorem of a circle, an inscribed angle is half the measure of the arc it intercepts.
m<D intercepts arc ABC
thus, 80° = ½(120+BC)
Solve for BC. Multiply both sides by 2
80*2 = 120 + BC
160 = 120 + BC
BC = 160 - 120 = 40°
Step 2: Find m < A
According to the Inscribed angle theorem, m < A = ½ of arc BCD = ½(40 + 116)
m < A = 78°
Step 3: find m < C
m < A + m < C = 180 (opposite angles of an inscribed quadrilateral are supplementary)
m < C = 180 - 78 = 102°
yx(y+1) + 4x(y + 1) - 5(y + 1) factor
( yx + 4x - 5 )( y + 1 )
.....................................
Given b(x)=√3x+3 evaluate f(11) I really need help with this.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
in we have x = 11
put the value of x in equation
[tex]b(11) = \sqrt{3} (11) + 3[/tex]
[tex]b(11) = 11 \sqrt{3} + 3[/tex]
so x = 11√3
Hope it helps
Let f(x) = sin x; Sketch the graph of f^2
Answer: see graph
Step-by-step explanation:
Look at the Unit Circle to see the coordinates of the quadrangles.
Build a sine table for one period (0° - 360°).
x y = sin(x) y² = (sin(x))² (x, y²)
0° sin(0°) = 0 (0)² = 0 (0°, 0)
90° sin(90°) = 1 (1)² = 1 (90°, 1)
180° sin(180°) = 0 (0)² = 0 (180°, 0)
270° sin(270°) = -1 (-1)² = 1 (270°, 1)
360° sin(360°) = 0 (0)² = 0 (360°, 0)
Now plot the (x, y²) coordinates on your graph.
Which algebraic expression is equivalent to the expression below ?
7 ( X — 1 ) + 15 ( X + 9 )
= 7 X — 7 + 15 X + 135
= 22 X + 135 — 7
= 22 X — 128 ( Ans )
7 ( X – 1 ) + 15 ( X + 9 )
= 7X – 7 + 15X + 135
= 7X + 15X + 135 – 7
= 22X + 128 ( Answer )
1/a+b + 1/a-b +2b/a^2-b^2 simplify
Answer:
[tex]\frac{2}{a-b}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] + [tex]\frac{2b}{a^2-b^2}[/tex] ← a² - b² is a difference of squares
= [tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] = [tex]\frac{2b}{(a-b)(a+b)}[/tex] ← LCD is (a - b)(a+b)
= [tex]\frac{a-b+a+b+2b}{(a-b)(a+b)}[/tex]
= [tex]\frac{2a+2b}{(a-b)(a+b)}[/tex]
= [tex]\frac{2(a+b)}{(a-b)(a+b)}[/tex] ← cancel common factor (a + b) on numerator/ denominator
= [tex]\frac{2}{a-b}[/tex]
what is the GCF of 100x squared - 250xy+75x
Answer:
25x
Step-by-step explanation:
100x^2 -250xy +75x
Rewriting
25*4*x*x -25*10 *x*y + 25*3*x
As we can see each term contains 25x
The greatest common factor is 25x
25x( 4x -10y+3)
Answer:
25x
Step-by-step explanation:
GCF means the greatest common factor.
First, we write the factors of these numbers.
=> 100x^2 = 2 * 2 * 5 * 5 * X * X
=> 250xy = 5 * 5 * 5 * 2 * X * Y
=> 75x = 5 * 5 * 5 * x
=> Next, we need to take the numbers that come in all sets.
=> 5 , 5 , x
Next, we multiply these numbers.
=> 25x
So, the GCF of these numbers are 25x
Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm and length of 40cm and is full. He mixes blue paint and yellow paint in the ratio 2: 3. Peter uses 8.4 litres of blue paint. Calculate the height of the container
Answer: height = 17.5cm
Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:
[tex]\frac{2}{3} = \frac{8.4}{x}[/tex]
[tex]x = \frac{8.4*3}{2}[/tex]
x = 12.6L
The container is full with the two paints, so total volume:
V = 12.6 + 8.4
V = 21L
Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:
V = 21dm³ = 21000cm³
Volume of a cuboid is calculated as:
V = width*length*height
Height of the container is
height = [tex]\frac{V}{width*length}[/tex]
height = [tex]\frac{21000}{30*40}[/tex]
height = 17.5cm
The height of the container is 17.5cm.
Asap please I need help on this
Please help me anyone
Answer:
(x + 5)² = - 3
Step-by-step explanation:
Given
x² + 22x + 28 = 12x ( subtract 12x from both sides )
x² + 10x + 28 = 0 ( subtract 28 from both sides )
x² + 10x = - 28
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = - 28 + 25
(x + 5)² = - 3
How many planes can be drawn through any three noncollinear points?
Answer:
1 plane
I hope this helps!
ground of the following nearest tens and Place a 7639. b_4325671
Answer:
a)7640
b)4325670
Step-by-step explanation:
when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..
I hope this helps
What error did Leah make?
Answer:
the lines arent parallel, so you cant use corresponding angles theorem
The error is corresponding property does not apply.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions. For example, the opposite sides of a rectangle represent parallel lines.
We know that when two lines are parallel they the following property:
Alternate interior angleCorresponding angleco- interior angles.As, there is no parallel lines line.
So, the measurement if <1 = 88 can't be true because corresponding doesn't apply.
Learn ore about parallel lines here:
https://brainly.com/question/12860077
#SPJ2
Help? It hard I try my best on a Separate picese
============================================
Work Shown:
3 & 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5
3.5% = 3.5/100 = 0.035
r = 0.035 is the decimal form of [tex]3\frac{1}{2}\%[/tex] which is used along with
P = 500 (principal deposit)n = 12 (compounding 12 times a year)t = 0.5 (6 months is half a year)to get the following
A = P*(1+r/n)^(nt)
A = 500*(1+0.035/12)^(12*0.5)
A = 508.81405074594
A = 508.81
Extra info: Gabe earned A-P = 508.81 - 500 = 8.81 dollars in interest.
jack has 13 lengths of rope. Each is 6 3/4 meters long. How much rope does Jack have to divide amond 20 people
Hey there! I'm happy to help!
First we multiply the the length of each length of rope by the number of lengths of rope (try saying that five times fast).
6 3/4×13=87 3/4
Now, we divide this by 20 to see how much rope each person gets.
87 3/4÷20= 4 31/80
Therefore, each person has 4 31/80 or 4.3875 meters of rope.
I hope that this helps! Have a wonderful day! :D