Answer:
Given, length, l = 3/8 inches
breadth, b =2/3 inches
We have
area = l × b
= 3/8 × 2/3
= 6/24
Joel has a photo box that is 10 inches in length, 8 inches in width, and 5 inches in height. What is the volume of the box? Show your work below.
The volume of the photo box is 400 cubic inches.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For the reectangular box, we need the length, width and height of the box to calculate the volume.
The volume of the box will be calculated as:-
V = L x W x H
Here, L = 10 In, W =8 In, and H = 5 in put the values.
V = 10 x 8 x 5
V = 400 cubic inches
Hence, the volume is 400 cubic inches.
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Write the inequality this number line represents.
Answer:
x > 10
Step-by-step explanation:
the dot isn't filled, meaning x can't equal 10. it goes up, meaning x is greater than 10 :) hope this helps
Which statement is true?
A. 30 is 3% of 100.
B. 6 is 12% of 200.
C. 15 is 30% of 50.
D. 12 is 5% of 60.
Answer:
A. 30 is 3% of 100
Step-by-step explanation:
So if 10 is 1% of 100, then 30 is 3% of 100
The ratio of the weight of cement to the weight of sand is 1:3. How many pounds of sand are in 9 pounds of cement?
word problem for 3 divided by 1/2
Answer:
Step-by-step explanation:
it is 1.5 take it like that
Which of the following figures is a pair of lines that are parallel?
Find the slope of the line through the pair of points: (3,4)and (0,2)
Step-by-step explanation:
To find the slope, we'll use this formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m will represent our slope.
Use the first point as the second in the formula, as we'll subtract for the correct slope.
Substitute the 2 given points into the formula format:
[tex] \frac{4}{3} - \frac{2}{0} = m[/tex]
Subtract:
[tex] \frac{2}{3} = m[/tex]
The slope is 2/3.
Answer:
[tex]\boxed{\sf{\dfrac{2}{3} }}}[/tex]
Step-by-step explanation:
A slope formula is all you need to use to find the slope.
Slope:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]
y2=2
y1=4
x2=0
x1=3
Rewrite the problem.
[tex]\sf{\dfrac{2-4}{0-3} }[/tex]
Then, solve it.
[tex]\sf{\dfrac{2-4}{0-3}=\dfrac{-2}{-3}=\boxed{\sf{\dfrac{2}{3} }}} }[/tex]
As a result, the slope is 2/3, which is our answer.
I hope this helps you! Please let me know if my answer is wrong or not.
A beverage producer needs to minimize shipping costs from its two primary plants in Hamilton and Waterloo. All wholesale orders within the city are shipped from one of these plants. An outlet in Toronto orders 200 cases of soft drinks, on the same day an order for 240 cases comes from London. The plant in Hamilton has 300 cases ready to ship and the plant in Waterloo has 200 cases. The cost of shipping each case to Toronto is $0.50 from Hamilton, and $0.70 from Waterloo. The cost of shipping each case to London is $0.60 from Hamilton, and $0.65 from Waterloo. How many cases should be shipped from each warehouse to minimize costs?
Using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders.
What is the Least Cost Method for solving transportation problems?The Least Cost Method is a method of solving transportation problems. The allocation starts by allocating with the cell or column with the minimum cost.
The lower-cost cells are first chosen over the higher-cost cells to obtain the least cost of transportation.
Data and Calculations:Toronto London
Demand 200 cases 240 cases
Inventory:Hamilton = 300 cases
Waterloo = 200 cases
Transportation Costs per case:Toronto London
Hamilton $0.50 $0.60
Waterloo $0.70 $0.65
Various Transportation Costs:Toronto London
Hamilton $100 (200 x $0.50) $144 (240 x $0.60)
Waterloo $140 (200 x $0.70) $156 (240 x $0.65)
The number of cases that should be shipped from each warehouse to minimize transportation costs is as follows:
Toronto London
Hamilton 200 cases 100 cases (at a total cost of $60)
Waterloo 0 case 140 cases (at a total cost of $91)
Total 200 cases 240 cases
Total transportation
costs $100 (200 x $0.50) $151 (100 x $0.60 + 140 x $0.65)
Thus, using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders with the total transportation cost incurred for the two orders from Toronto and London as $251.
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Please help
If the m∠A is 33° and m∠D is 27°, determine the measure of the following:
Answer:
See below
Step-by-step explanation:
By inscribed angle theorem:
measure of intercepted arc is equal to twice the measure of its corresponding inscribed angle.
[tex]\implies[/tex]
[tex]arc\: AC = 2(27\degree) =\boxed{\purple{54\degree}}[/tex]
[tex]arc\: BD = 2(33\degree) =\boxed{\red{66\degree}}[/tex]
[tex]arc\: CB= 180\degree-(54\degree+66\degree)[/tex]
[tex]\implies arc\: CB= 180\degree-120\degree[/tex]
[tex]\implies arc\: CB= \boxed{\blue{60\degree}}[/tex]
The radius of a circle is 6 inches. What is the area?
Give the exact answer in simplest form.
Answer: 36pi inches^2
Step-by-step explanation:
The area of a circle is equal to pi*radius^2.
We plug in 6 inches for the radius.
Therefore, the area of the circle is pi*6 inches^2 = 36pi inches^2
NEED AN ANSWER NOW!
Write >, =, or < for each __.
64 in __ 5 ft
2 mi __ 3,333 yd
36 yd 2 ft __ 114 ft 2 in
Which measure is less than 435 in?
A. 37 ft
B. 36 ft 10 in
C. 12 yd 3 in
D. 12 ft 3 in
Answer:
64 in > 5 ft
2 mi < 3,333 yd
36 yd 2 ft > 114 ft 2 in
D
Step-by-step explanation:
that should be right
What is the length of the radius of the circle?
Answer:
There is none, there is no length of a circle
Step-by-step explanation:
Solve 20% of blank = 40
Answer: 200
Step-by-step explanation:
Let the unknown number be x.
Therefore, 20%*x = 40
20% as a fraction is 1/5.
Therefore x*(1/5) = 40
Multiply both sides by 5:
x = 200
Write the name for the decimal value of point M on the number line.
A number line has endpoints 5.6 and 5.7 with 9 tick marks between them. Point M is on the fourth tick mark after 5.6.
The decimal value of point M on the number line is 5.644.
What is a number line?Number line is a straight line divided with numbers placed at equal intervals or segments along its length.
From the question:
Point M = 5.6 + (4/9) * (5.7 - 5.6) = 5.644
The decimal value of point M on the number line is 5.644.
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56 is 80% of what number? Use the percent equation
Answer:
70
Step-by-step explanation:
56 = .80 · x
divide both sides by .8
Answer:
70
56= 0.8 *x is the equation
£245 increased by 25%?
Answer:
306.25
Step-by-step explanation:
What you need to do is multiply 245 by .25 (the decimal form of 25%). Then you should get 61.25, which is what the increase would be. Then, using the product, add 245 with 61.25 and you'll get the answer.
(Hope this helps)
Answer:
61.25 Euro
Step-by-step explanation:
Hopefully this is right. I'm American so I had to do a little converting with the currency. How you solve it is you multiply 245 by 25 and then divide by 100. Whenever percentage is involved think of the butterfly method.
[tex]x/250=25/100[/tex]
In this problem X is what you're trying to solve for; what the number will be AFTER the increase. The denominator will always be the original amount/price. Then on the other side you put the percentage over 100, since percentages go from 0% to 100%, kinda like quarters.
Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.
Answer:
side y would be 4xroot(2); side x would be 8.
Step-by-step explanation:
45-45-90 triangle rules.
500 apples are taken at random from a large basket and 50 are found to be bad. Estimate the proportion of bad apples and assign limits within which the percentage most probabilities lies
Answer:
Step-by-step explanation:
probability = 50/500= 1/10
which means that there is probability of 1 Apple will be bad from 10 apples.
HELP ASAP
Two angles are supplementary. The measure of the larger angle is 28 more than 3 times the measure of the smaller angle.
Find the measures of both angles.
ATQ
[tex]\\ \rm\longmapsto 3x+28+x=180[/tex]
[tex]\\ \rm\longmapsto 4x+28=180[/tex]
[tex]\\ \rm\longmapsto 4x=152[/tex]
[tex]\\ \rm\longmapsto x\approx 38[/tex]
3x+28=180-38=142Let's assume that ,
x is the smaller angle
3x+28 is the larger angle
then,
ATQ,
x + 3x+28 = 180°
4x +28 = 180°
4x = 180°-28°
4x = 152°
x = 38°
putting the value of x in the larger angle
⇢3x +28 = 3 x 38° +28° = 142°
hence , the measure of the smaller angle is 38° & the larger one = 142°
The population of small town grew from 4732 to 5967 from
2009 to 2015.
All rounding should be to the nearest thousandth.
A) Assuming exponential growth, write a function to model the
situation.
Define appropriate variables. (3 points)
B) When will the population of this town reach 9000?
Answer:
the small town grew to 2022
Michelle's salad uses 1ż tomatoes and
serves 3 people. Caley's salad uses
2 tomatoes and serves 5 people. Whose
salad has more tomato per person?
Answer:
if Michelle's salad use 1tomato and servers 3 people which mean if she use 2 tomatoes she will server 6 people
Step-by-step explanation:
and caley's salad uses 2 tomatoes and servers 5 people
michelle's tomatoes serves more
A Triangle has a base length of 14cm.
The perpendicular height is 9cm.
Find the area of the triangle.
Step-by-step explanation:
multiply 14cm by 9cm
[tex]14cm \times 9cm[/tex]
equals 126
Answer:
63
Step-by-step explanation:
4
Find y-intercept for y= (x+2)(x-5)
Answer:
I you added them to gether
Simplify this problem. Leave answer in exponents.
which class are you bro I can't solve it XD
Answer:
a^7/64
Step-by-step explanation:
8^-2a^7
(8^-2 would be 1/64)
1/64a^7
(1/64 * a^7 would be 1a^7/64)
Which could be
a^7/64
Other than itself, which angle is congruent to
EAI
What is 80% of 160
(math homework ☹️)
Answer:
128
Step-by-step explanation:
1.28 x 10^2,2^7
80% x 160 =128
Hope this helps mark me brainlist if possible
Answer:
128
Step-by-step explanation:
(80/100)*160
or
(80*160)/100
12800/100=128
10. How would you describe an Obtuse triangle?
a. It has an acute angle which measures less than 90°
b. It has an obtuse angle which measures less than 90°
c. It has an obtuse angle which measures greater than 90°.
d. It has an acute angle which measures greater than 90
Answer:
c
Step-by-step explanation:
an obtuse angle is an angle which is greater than 90° but less than 180° so an obtuse triangle will have an angle that measures greater than 90
Answer:
c. It has an obtuse angle which measures greater than 90°.
Step-by-step explanation:
An obtuse angle is any angle greater than 90°, and an obtuse triangle is a triangle in which one of the angles is an obtuse angle.
Two sides of a rectangle are 7cm and 9cm respectively. What is the range of the possible length of the third sides?
Answer:
Step-by-step explanation:
9 - 7 < length of 3rd sides < 9 + 7
so the range is greater than 2 cm and less than 16 cm
Pls help on this question pls
Answer:
42b -7.5
Step-by-step explanation:
Consider the complex numbers and in the complex plane below:
Find the rectangular forms of v,w,z
and enter them in that order.
Answer:
v = √2 +√2iw = -2 -2√3i . . . ("i" is not under either radical)z = 0 -3iStep-by-step explanation:
A suitable calculator can perform polar to rectangular conversion for you. If you like to do it "by hand", the conversion is ...
(r; θ) ⇔ r·cos(θ)+ r·sin(θ)i
Your numbers translate to ...
v = √2 +√2iw = -2 -2√3iz = 0 -3i_____
Additional comment
We aren't often asked to read polar graphs. The concentric rings here are taken to be 1 unit apart. The radial lines are 15° apart. Then the various points are ...
v = 2∠45°
w = 4∠-120°
z = 3∠-90°
As you can see, the TI-84 work-alike in the attachment is able to write and understand numbers in this form. Other calculators treat complex numbers as vectors [magnitude, angle], or as coordinates with a special separator (semicolon) to indicate polar coordinates vs. complex plane coordinates: (r; θ) vs. x +iy
In any event, you need to be careful to understand the units the calculator uses for angles. In the attached, we have set the angle units to degrees. Most spreadsheets default to radians.