The volume of the rectangular lunch box is the amount of space in it
The volume in terms of W is LW^2 = 443.75
How to determine the volume expression?The volume is given as:
V = 355
Let the width of the box be W, and the height be H; such that:
W = 1.25H
Make H the subject
H = W/1.25
The volume is calculated as:
V = LWH
So, we have:
355 = L * W * W/1.25
Multiply through by 1.25
443.75 = L * W * W
This gives
443.75 = LW^2
Rewrite as:
LW^2 = 443.75
The diagram is not given. So, the question cannot be solved further
Hence, the volume in terms of W is LW^2 = 443.75
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Which is the correct way to rewrite the expression? 4(5 + y)
a. (4 + 5) + (4 + y)
b. (4 * 5)(4y)
c. (4 + 5) + (4y)
d. (4 * 5) + (4y)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The school band director has a budget $4,428.00 to spend on the band room, instruments, music, and uniforms. There are four sections in the band: drum corps, woodwinds, horns, and color guard. She has received three offers.
Option 1. Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
Option 2. Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
Option 3. Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
The remainder of the money will be split evenly among the four sections for additional costs. Match each option with the amount of money each section will receive for additional costs.
Answer:
The amount of money left for each section to spend from the budget in additional costs if they follow exact of the
options is
Option 1-$497.5
Option 2 - $494.5
Option 3 - $500.5
The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should
be matched accordingly.
Step-by-step explanation:
We first calculate the amount left per section after following each of the options.
Budget $4,428.00
Option 1.
Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
There are 4 sections, hence, total amount spent in this option:
4(564) + 182 $2438
Amount of money left from the budget after spending= 4428-2438 = $1990
Amount left per section = (1990/4) =
$497.5
Option 2
ធ
Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
There are 4 sections, hence, total amount spent in this option:
4(593) + 78 $2450
Amount of money left from the budget after spending= 4428 - 2450= $1978
Amount left per section = (1978/4)=
$494.5
Option 3
Repair uniforms at $287.00 per
section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
There are 4 sections, hence, total amount spent in this option:
4(287) + 856 +422 = $2426
Amount of money left from the budget
after spending = 4428-2426 = $2002
Amount left per section = (2002/4)= $500.5
Can pls someone help me? and show how it did it?
Answer:
[tex]x\geq -3[/tex]
Step-by-step explanation:
We can start by combining like terms:
[tex](3x-7x)+(-5+2)\leq 9\\-4x-3\leq 9[/tex]
We want to isolate x, so we must add 3 and divide by -4:
[tex](-4x-3\leq 9)+3\\(-4x\leq 12)/-4\\\\x\geq -3[/tex]
Because we had to divide by -4, the inequality sign had to flip.
Solve the System of equations x = -2 ; y= -3 .(show your work step by step).
x+2y = 4
x +y = 1
Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
Find the area of the trapezoid. {?} Square centimeters
Answer:
68
Step-by-step explanation:
Use the formula provided...
6 and 11 are b1 and b2, and 8 is h.
So, 6+11 = 17
17/2 = 8.5
8.5*8 = 68
Quais os numeros naturais entre 893 e 991 que divididos por 23 deixam sempre o maior resto possível
What is the frequency?
Answer:
Its A
Step-by-step explanation:
What is the value for m and n?
Answer:
M = 8 N = 10
Step-by-step explanation:
Multiplying exponents adds the exponent, meaning that inside of the brackets, it is a^4 * b^5. Multiply the exponents by two because you are squaring the entire equation. Therefore, m=8 and n=10
Find the volume of the composite solid. Round your answer to the nearest tenth.
16 ft
6 ft
4 ft
The volume is about
cubic feet.
The volume of the composite solid is 4823.04 ft³.
Wha is volume?Volume is the amount of space or the capacity of a solid shape.
To find the volume of the composite solid, we use the formula below.
Formula:
The volume of the composite solid = Volume of the cone + volume of the cylinder.
V = πr²H+πr²h/3Where:
V = Volume of the composite solidr = Radius of the base of cylinder/ the base of the coneH = Height of the cylinderh = Height of the coneπ = PieFrom the question,
Given:
r = 16 ftH = 4 fth = 6 ftπ = 3.14Substitute these values into equation 1
V = 3.14(16²)(4)+3.14(16²)(6)/3V = 3215.36+1607.68V = 4823. 04 ft³Hence, The volume of the composite solid is 4823.04 ft³.
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Helpppp no links or troll
Answer:
height would be 5 and base would be 5.
Step-by-step explanation:
because you would subtract the 2 and the 1 from the 8 to give you the base.
hope this helps
Answer:
dark blue
Step-by-step explanation:
\to find the first base you must multiplie the side
and to find the height you add it
Abigail invested $29,000 in an account paying an interest rate of 2. 1% compounded continuously. Assuming no deposits or withdrawals are made, how much money to the nearest dollar, would be in the account after 8 years?
Answer:
$34,305
Step-by-step explanation:
[tex] a = 29000 {e}^{.021 \times 8} = 34305[/tex]
HELP MeMe M3 i dont get it
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are
blue. How many blue marbles does he have
A student solves this problem by writing an equation. Which strategy could help check the student's answer?
final answer
Answer:
Add 12 and 15 to their X value.
Step-by-step explanation:
X = 28, but they could check by adding 12 and 15 to see if it adds to 55.
Answer:
15
+12
=27
55
-27
=28
28 of the marbles are blue
Arnold borrowed $7890 at 11.5 percent for five years.
What is the amount of Arnold's total payment?
$11,580
$10,410
$9,520
$8,560
CAN SOMEONE PLEASE HELP ME ASAP IM STUCK
Please help like right now
Answer:
hope this helps :)
Step-by-step explanation:
Simplify the following variable expressions
Use the following information to answer the next five exercises. a hospital is trying to cut down on emergency room wait times. it is interested in the amount of time patients must wait before being called back to be examined. an investigation committee randomly surveyed 70 patients. the sample mean was 1.5 hours with a sample standard deviation of 0.5 hours
Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.
When should the z-distribution and the t-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.
More can be learned about the t-distribution at https://brainly.com/question/13873630
Please Help
What is the sum of the two solutions to x^(2)+5x+6=0
Answer:x=−3
x=−2
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
Hi, First begin by solving the quadratic equation
x^2 + 5x + 6
What two numbers multiply to get 6 but add to make 5? I would use 3 and 2
X^2 + 3x + 2x + 6
x(x+3) 2(x+3)
(x+2) (x+3)
X=-2
X=-3
These are your two solutions
-2 + -3 = -5
Using the data in the scatter plot what is a reasonable slope of a model that fits this data
We can conclude that the reasonable slope of a model that fits the given data is: C. 1.
What is the Slope on a Scatter Plot?Slope = change in y/change in x.
To find the slope of that fits the data, pick any two points on the scatter plot, say, (12, 1985) and (16, 1988)
Slope = (1988 - 1985)/(16 - 12) = 0.75 ≈ 1.
Therefore, we can conclude that the reasonable slope of a model that fits the given data is: C. 1.
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Please help me bro please
Answer:
n = 11°⠀
Step-by-step explanation:
When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.Vertically opposite angles are equal to each other.⠀
So,
[tex]{\longrightarrow \it\qquad { \ { (6n - 4) {}^{ \circ} = {(5n + 7)}^{ \circ} }}}[/tex]
⠀
Removing the brackets,
[tex]{\longrightarrow \it\qquad { \ { 6n - 4{}^{ \circ} = {5n + 7 \: }^{ \circ} }}}[/tex]
[tex]{\longrightarrow \it\qquad { \ { 6n - 5n = { 7 \: }^{ \circ} +4{}^{ \circ} }}}[/tex]
[tex]{\longrightarrow \it\qquad { \pmb{ n = { 11 \: }^{ \circ} }}}[/tex]
⠀
Therefore,
The value of n is 11°We will use the concept of Vertically Opposite angle here, i.e at the point of Intersection of two straight lines, the VOA (Vertically Opposite Angles) are equal
By using this property we will be having ;
[tex]{:\implies \quad \sf (6n-4)^{\circ}=(5n+7)^{\circ}}[/tex]
[tex]{:\implies \quad \sf 6n-5n=7+4}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n=11}}}[/tex]
This is the required answer
What is one sixth of 2.00
16 more than craigs score is 62
Step-by-step explanation:
what is the question ?
to find Craig's score ?
if that is the case :
Craig's score = 62 - 16 = 46
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends. Which equation can he use to find p, the number of pencils each friend will receive? p 6 = 30 p minus 6 = 30 6 p = 30 StartFraction p Over 6 EndFraction = 30.
The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're given that:
Sebastian has 30 pencilsSebastian will distribute p pencils to each of his 6 friends.Now, that means, if we collect all those p pencils, then they should be 30 in count.
Sum of pencils from 6 friends = p + p + p + p + p + p = 30
or
[tex]6 \times p = 30[/tex] (since p was added 6 times itself, so we write it as 6 times p)
we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).
Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
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Answer:C
Step-by-step explanation:
if f(x)=1/9x-2, what is f^-1(x)?
Answer:
[tex]f^{-1}(x)[/tex] will be equal to 9y+18
Step-by-step explanation:
[tex]f^{-1}(x)[/tex] will be equal to 9y+18
The number 144 can be represented by 12x12 square grid which of the following can be also represented on a square grid??
A. 39 b.50 c.70 d.81
Answer:
d.81
Step-by-step explanation:
81 can be represented by a 9x9 square grid. The rest of the numbers would be represented on rectangular grids.
Answer:
D. 81
Step-by-step explanation:
81 can be represented by 9X9 square grid
9^2 = 81
what is the value of x that makes the given equation true 9+8x-4-5x=-19
Answer:
x = -8
Step-by-step explanation:
9+8x-4-5x=-19
5+8x-5x=-19
5+3x=-19
-5 =-19
3x = -24
3/3 = -24/3
x= -8
Determine the point estimate of the population mean and margin of
error for the confidence interval with lower bound 19 and upper bound: 27.
Using confidence interval concepts, it is found that:
The point estimate of the population mean is of 23.The margin of error is of 4.Given a confidence interval what are the point estimate of the population mean and the margin of error?A confidence interval has two bounds, a lower bound and an upper bound.A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.The margin of error is the difference between the two bounds, divided by 2.In this problem, the interval is (19,27), hence the point estimate is:
P = (19 + 27)/2 = 23.
The margin of error is:
M = (27 - 19)/2 = 4.
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HELPPP Serena was collecting blank sticker books for her classmates. She measured the lengths of each book and recorded the data on the line plot below. What is the total length of all the books that are 3 3/5 inches?
SHOW YOUR WORK OR LEAVE A SIMPLE EXPLANATIONS HELLPP
Answer:
The total length of all the books that were 3 3/3 inches is 8.6 because there are 5 books that are 3 3/5 inches. and if you add them thats the answer.
Pls give brainliest ily<3
Answer:
18 in
Explanation:
[tex]\sf 3 \dfrac{3}{5 } \ in= 3.6 \ in[/tex]
there are total 5 books with 3.6 in
so total length : 5 * 3.6 = 18 inWhat is the surface area of the figure made from this net?
Answer:
there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...
Step-by-step explanation:
An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.