The dimension of the box is 50in by 10in by 15in
How to calculate the volume of a figureThe volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
Factorize to determine the width
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
Get the height
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
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iready help me pleeeaseeeee
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
24/5
Decimal Form:
4.8
Mixed Number Form:
4 4/5
Please help!! What is the area to this figure??
Answer:
318
Step-by-step explanation:
find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle
Answer:
318 mi²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 1 triangle and 2 rectangles (see attachment).
Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22
= 1/2 x 19 x 22
= 209 mi²
Area of Rectangle 2 = 5 x (11 + 6)
= 85 mi²
Area of Rectangle 3 = 4 x 6
= 24 mi²
Total area = 209 + 85 + 24 = 318 mi²
-8 (-3.3) Multiply (-3.3) how many times? Move from 0 to where? Product:
8 times
I hope this helps you
:)
someone help me please
Answer:
b
Step-by-step explanation:
the x has been cubed meaning
X * X *X = x^3
X^3 has been added to 5
C is saying they multiplied three to x therefore being
B
Item
Small pizza (plain) $8.99
Large pizza (plain) $13.99
Each topping $0.75
Anna ordered a large pizza
with 2 toppings. What was the total cost of her pizza Show your equation and the total cost
Part B
Anna gave the clerk two 10- dollar bill. She received $4.51 in change. Anna said the clerk was incorrect and should have given her 14.51. Who is correct Explain your answer and include an equation or example using money to support your answer.
Answer:
$15.49
Step-by-step explanation:
0.75 x 2 = 1.5
1.50 + 13.99 = 15.49
The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.
Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))
Answer:
1
Step by step explanation:
[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]
Answer:
g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\
[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]
A rental car costs $15 a day plus 25 cents for each mile driven. Which
expression shows the cost to rent a car for 1 week and drive 200 miles?
A. (15.25 x 7) + 200
B. (0.25 x 7) + (15 x 200)
C. (15 x 7) + (0.25 x 200)
D. 15 + (0.25 x 200
The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)
The problem can be modelled to a linear equation.
Linear equationLinear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
y = total cost of the rental
x = mile driven
Hence,
y = 0.25x + 15
Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:
(15 × 7) + (0.25 × 200)learn more on linear equation here: https://brainly.com/question/1550434
Find two numbers who have a sum of 21 and a product of 104.
Please include the following in your response:
1) The system of equations used to solve the problem (These are the two equations)
2) The two numbers (The answer)
3) A brief explanation of how you found the numbers
The two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104
System of equationsLet the two unknown numbers be x and y
If the sum of the numbers is 21, hence;
x + y = 21
x = 21 - y
If the product is 104, then;
xy = 104
(21-y)y = 104
21y - y^2 = 104
y^2-21y + 104 = 0
Factorize the result
y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8
Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104
Learn more on system of equation here: https://brainly.com/question/847634
Which graph represents the equation ? [ x - 1/2 ]^2 + [ y + 5/2 ]^2 = 1/4?
Answer: 2
Answer:
B
Step-by-step explanation:
center (1/2,-5/2)
radius=1/2
Determine if the two figures below are congruent. Use the drop-down
menus below to justify why. Which angle on Figure 2 corresponds to
angle M on Figure 1?
Answer: are congruent, rotation
Step-by-step explanation:
Olga just got a new job, and she is looking to lease a car. Dealer A offers her a $2400 trade-in on her old car, with lease payments of $360 a month. Dealer B offers a trade-in of $2000 with payments of $320 a month. Olga wants to lease the car for only 6 months. Which deal is better for her?
Answer:
$2000 with payments of $320 a month
Step-by-step explanation:
360 x 6 = 2160
2160 + 2400 = 4560
320 x 6 = 1920
1920 + 2000 = 3920
Answer:
dealer A
Step-by-step explanation:
A: 360×6=2160
2400-2160=240
they save $240
B: 320×6=1920
2000-1920=80
they save $80
According to the image below, which season is about to begin in the southern hemisphere?
O Summer
O Autumn
O Winter
O Spring
Answer:
Step-by-step explanation:
this would be summer. because i took le test puddin -Love harley
the difference of 20 and x
Answer:
20-x
Step-by-step explanation:
you need the value of x to answer
A can of nacho cheese has a radius of 8 inches and a height of 4 inches. a can of
jalapeños has a radius of 4 inches. what is the height of the jalapeño can if both
cylinders have the same volume? (show your work.)
(hint: start by finding the exact volume of the nacho cheese can.)
Answer:
8 inches
Step-by-step explanation:
Nacho cheese
v= Pi×radius×2×height
v = 3.14×8×2×4 = 200.96
jalapeño
3.14×4×2=25.12
200.96÷25.12=8
the height is 8
to check your work you can do
(multiply by 8 and see if it equals 200.96)
3.14×4×2×8 = 200.96
since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct
PLEASE HELP W BOTH PRECALC QUESTIONS!!!
Answer:
Step-by-step explanation:
Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:
[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]
[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]
Moving on to the second problem:
[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]
Therefore:
[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]
Where:
[tex]a+b=5x[/tex]
[tex]a-b=3x[/tex]
Solve for 'a' using the second equation to get:
[tex]a=3x+b[/tex]
Plug this into the first equation to get:
[tex]3x+b+b=5x[/tex]
[tex]3x+2b=5x[/tex]
[tex]2b=2x[/tex]
[tex]b=x[/tex]
Therefore:
[tex]a+x=5x[/tex]
[tex]a=4x[/tex]
Finally:
[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]
Work out the equation of the line which has a gradient of 2 and
passes through the point (2, 5)
Answer:
y=2x+1
Step-by-step explanation:
You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.
Nikki use some cloth to make a miniature tent, as shown in the figure. How much cloth did she use to make the tent?
A.
61 square inches
B.
140 square inches
C.
272 square inches
D.
296 square inches
E.
300 square inches
Answer:
D. 296 square inches
Step-by-step explanation:
The surface area of a prism is the total area of all its faces.
A triangular prism has three rectangular faces and two triangular faces.
As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthFrom inspection of the diagram:
⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²
⇒ Area of a rectangle = 8 x 10 = 80 in²
Total surface area
Total surface area = 3 rectangle areas + 2 triangle areas
= (3 x 80) + (2 x 28)
= 296 in²
Answer:
296
Step-by-step explanation:
have a great day
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
14.3
Step-by-step explanation:
Formula: a^2 + b^2 = c^2
9+196= 205 then find the square root of 205, approximate then use tenths.
Answer:
14.3
Step-by-step explanation:
Use the following equation:
a² + b² = c² , in which the variable c = hypotenuse, and a & b are the other legs.
It is given that the legs measure 3 and 14 respectively. Plug in the given numbers to the given leg variables:
a² + b² = c²
3² + 14² = c²
Simplify. First, solve the powers, and then combine like terms:
(3 * 3) + (14 * 14) = c²
9 + 196 = c²
c² = 205
Next, root both sides of the equation:
√c² = √205
c = √205 = 14.3178
c = 14.3 (Rounded to the nearest tenth).
14.3 is your answer.
~
Joshua started working on his Math project at 4:25 p.m. He finished by 5:25 p.m. How many minutes did he work on his project?
A. 80 minutes
B. 70 minutes
C. 60minutes
D. 50 minutes
30. Pis does her workout for 50 minutes every day. Today, she started at 6:30 m. At what time will she finish?
A. 7:15 a.m.
B. 7:20 a.m.
C. 7:30 a.m.
D. 7:35 a.m
31. Find the circumference of a circular lot whose diameter is 9 m.
A. 25.26 m
B. 27.26 m
C. 28,26 m
D. 30.26 m
32. Find the circumstance of a circular whose radius is 30m.
A. 188.40 m
B. 188.30m
C. 188.20 m
D. 188m
(4x - 3)
Find the value of 'x'.
(2x + 9)
A. 53
B. 14
C. 16
D. 37
Answer:
please the question is not clear
Yo I need to bring up my math grade bad so
y>1/3x
(please show it graphed already :D)
Answer:
Graph Passing through origin with Gradient ⅓
Step-by-step Solution:
1. Aquire x and y Intercepts by substituting 0 to corresponding value.
When x=0,
[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]
When y=0,
[tex]0 = \frac{1}{3} x \\ x = 0[/tex]
i.e. passing through Origin
do the same for any other 2 points and connect the dots/coordinates and extend the line
select all the expressions that equal 3 to the power of 4.
A.7
B.4 to the power of 3
C.12
D.81
E.64
F.9 to the power of 2
The equivalent expression of 3 to the power of 4. is 9 to the power of 2.
How to determine the equivalent expression?The expression is given as:
3 to the power of 4.
Mathematically the expression is
[tex]3^4[/tex]
Express 4 as 2 * 2
[tex]3^{2*2}[/tex]
Evaluate 3^2
[tex]9^2[/tex]
This means that:
9 to the power of 2.
Hence, the equivalent expression of 3 to the power of 4. is 9 to the power of 2.
Read more about equivalent expression at:
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The general strategy for solving an equation of the form x/a= bis to
A. divide both sides by a
O B. divide both sides by b
C. multiply both sides by a
D. multiply both sides by b
E. divide both sides by x
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The general strategy for solving the equation in form of :
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]
is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.
so, correct choice is C. multiply both sides by a
Best way is multiply with a
By which x gets isolated
Let's check how?
ax/a=bax=abJabrin was tossing a ball up in the air and catching it. He found that in 50 tries, he could catch it 45 times. He is going to do this 33 more times. Predict how many times Jabrin will catch the ball out of these 33 tosses.
What is the exact prediction? What is the realistic prediction?
Answer:
As the question states, predict how many times. I don't get the "realistic" prediction part, but however,
he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.
15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?
Answer:
I think 50 yrs old
Step-by-step explanation:
I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%
put the decimal point in the correct places to get the difference 323 - 362 = 28.68
The correct location is between the two and three for the first digit and the three and six for the second number.
can anyone answer this???
Answer:
9 3/10
Step-by-step explanation:
5 4/5 = 5 8/10
3 1/2 = 3 5/10
3 5/10 + 5 8/10 = 9 3/10
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]
Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat?
Answer: 12
Step-by-step explanation: 2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.
translate the triangle 3 to the right and 2 down
Answer:
Step-by-step explanation:
There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.
help?? its for calc please
Answer:
its logx=logy
Answer:
its logx=logy