Answer: 224 students own a school sweatshirt.
Step-by-step explanation:
40% of 560 means 60% do not have one
0.60 is 60% as a decimal
560 x 0.60 = 336 students without a sweatshirt
560 - 336 = 224
5 to the power of 3 simplified by 2.5 to the power of 2
Answer:
2500
Step-by-step explanation:
5^3 is 125/2.5 is 50 and 50^2 is 2500
Answer:
20
Step-by-step explanation:
5x5x5= 125
2.5x2.5=6.25
125÷6.25= 20
What is the place value of the underlined number 4,382
Answer: Unit =2
tens=8
hundred= 3
thousand= 4
Step-by-step explanation:
(m3 - 6m2 - 16m + 63) divided by (m - 7)
Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7) [tex]= (m^2 +m-9)[/tex]
Step-by-step explanation:
[tex]m^3 -6m^2-16m +63[/tex]
[tex]=m^3 -7m^2[/tex][tex]+m^2 -7m[/tex][tex]-9m+63[/tex]
[tex]= m^2(m-7)[/tex][tex]+m(m-7)[/tex][tex]-9(m-7)[/tex]
[tex]= (m-7 ) (m^2 +m-9)[/tex]
Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7) [tex]= (m^2 +m-9)[/tex]
PLLLEEEAAASSSEEE HELP FAST!!
What is the expression in radical form?
(5x^4y^3)^2/9
Answer:
the 3rd one i believe.
not sure.
hope this helps!
If the ratio of a circle's sector to its total area is 3/11, what is the measure of
its sector's arc?
Answer:
6πr/11.
Step-by-step explanation:
The length of the arc = rC where C is the central angle of the sector in radians and r = the radius.
C = (3/11) * 2π
= 6π/11 radians.
So the measure of the arc = 6πr/11.
Y = 3x + 2
-4x + 2y = 8
Answer: x=2 and y=8
Step-by-step explanation:see attachment
For which problem do you need to regroup 1 ten as 10 ones subtract 16 from 38 or subtract 27 from 85 or subtract 51 from 72
Can anyone explain how to solve this?
Answer:
18.75
Step-by-step explanation:
since you are scaling up you do
125/80 which is 1.5625 and multiply that by 12.
Today is 4 jan and day is monday.what day will be on 23 jan. With step by step
Answer:
Saturday
Step-by-step explanation:
Each day of the week is repeated after 7 days
So, after 19 days it would be Saturday
Australia is approximately 3,000,000 square
miles in area. Sand dunes cover 40% of the land.
How much of Australia is
covered by sand dunes?
Answer:
1,200,000 square miles
Step-by-step explanation:
Given data:
Total land = 3 000 000
40% is covered by sand dunes
Land covered by sand dunes is 40% of the total area therefore
Land covered by sand dunes=(40/100) * 3000000
Land covered by sand dunes= 0.4 * 3000000
Land covered by sand dunes= 1 200 000
Final answer:
Approximately 1,200,000 square miles of Australia are covered by sand dunes, which is 40% of Australia's total area of about 3,000,000 square miles.
Explanation:
The student has asked how much of Australia is covered by sand dunes given that Australia's area is approximately 3,000,000 square miles and sand dunes cover 40% of the land.
To calculate the area covered by sand dunes, we apply the percentage to Australia's total area:
Convert the percentage into decimal form: 40% = 0.40.
Multiply the total area of Australia by the decimal: 3,000,000 square miles × 0.40.
The result gives us the area covered by sand dunes: 1,200,000 square miles.
Therefore, sand dunes cover about 1,200,000 square miles of Australia.
Walt received a package that is 2 1/3 inches long, 6 ¾ inches high, and 8 ½ inches wide. What is the surface area of the package?
plz help
The surface area of prism is 185.815 square inches
Solution:
Given that,
[tex]Length = 2\frac{1}{3}\ inches = \frac{3 \times 2 + 1}{3} = \frac{7}{3}\ inches = 2.33\ inches[/tex]
[tex]Width = 8\frac{1}{2}\ inches = \frac{17}{2}\ inches = 8.5\ inches[/tex]
[tex]Height = 6\frac{3}{4}\ inches = \frac{27}{4}\ inches = 6.75\ inches[/tex]
The surface area of package is given as:
[tex]A=2(wl+hl+hw)[/tex]
Where,
"l" is the length
"w" is the width
"h" is the height
Substituting the values we get,
[tex]A = 2((8.5 \times 2.33) + (6.75 \times 2.33) + (6.75 \times 8.5))\\\\Simplify\ the\ above\ equation\\\\A = 2(19.805+15.7275+57.375)\\\\A = 2 \times 92.9075\\\\A = 185.815[/tex]
Thus the surface area of prism is 185.815 square inches
Answer:
The surface area of the prism is 185.815 square inches.
Hope this helps!
i have 10 apples i give away 4 how many do i have now
Answer:
You have 6 apples left.
Step-by-step explanation:
You have 10 apple and give away 4.
10 - 4 = 6 apples
You have 6 apples left.
Megan says she needs a piece of rope that is 15/6 feet long how can megan rename the fraction as a mixed number?
Answer:
2 3/6
Step-by-step explanation:
When reducing the fraction you see how many times the denominator of 6 can fit into to numerator of 15. It is 2 with 3 left over. So you write 2 3/6
Answer:
2 1/2
Step By Step:
15 divided by 6: 2 R3
2 3/6
GCF is 3
Divide both sides by 3, and get 2 1/2
What is 45% of 36 ft?
Please show work that I can write down on a piece of paper, last time my teacher yelled at me because I didn't have any work down. :(
Answer:
16.2
Step-by-step explanation:
45% = 0.45 (as a decimal)
36 × 0.45 = 16.2
* 14 * x=2 * 28 . What x equal ?
Answer:
answer is 4
Step-by-step explanation:
look at picture
Answer:
x = 1
Step-by-step explanation:
14 x 2x = 28
2 x 1 = 2
14 x 2(1) = 28
14 x 2 = 28
Math question. Photo attached
Answer:
2x+7
Step-by-step explanation:
describe the error in using the percent equation to answer the equation.
30 is 60% of what number is?
A container holds sugar shape of a cylinder that radius of the containers 3 inches in the height of the container is 10.5 inches which measurement is closest to the volume of the container cubic inches
Answer:94.5pie
Step-by-step explanation:
Final answer:
To calculate the volume of a cylindrical sugar container with a radius of 3 inches and a height of 10.5 inches, use the formula V = πr²h, which yields approximately 296.78 cubic inches.
Explanation:
The question asks for the volume of the container that has the shape of a cylinder. The given dimensions are a radius of 3 inches and a height of 10.5 inches. To find the volume of a cylinder, we use the formula:
V = πr²h
Where V is the volume, π (pi) is a constant approximately equal to 3.14159, r is the radius, and h is the height of the cylinder.
We calculate the volume as follows:
V = π × (3 inches)² × 10.5 inches
V = π × 9 in² × 10.5 in
V = π × 94.5 in³
V ≈ 296.78 in³
Thus, the volume of the cylinder is approximately 296.78 cubic inches
What is the product?
(2x-1)(x+4)
2x²-4
0
2x²+4
0
2x² + 7x-4
2x² – 7x-4
Answer:
C) 2x^2+7x-4
Step-by-step explanation:
(2x-1)(x+4)=2x^2-x+8x-4=2x^2+7x-4
Solving for t?
[tex]6t - 2 = 5t[/tex]
[tex]8t + 6 = 7t + 6[/tex]
Answer:
Step-by-step explanation:
6t-2=5t
8t+6=7t+6
Which is not a characteristic of the linear parent function?
O
A. It goes through the origin.
O
B. The range is positive real numbers (y> 0).
O
C. The domain is all real numbers.
O
D. It has a slope of 1.
The characteristic of the linear parent function that is not true is that the range is positive real numbers (y > 0).
Explanation:The correct answer is B. The characteristic of the linear parent function that is not true is that the range is positive real numbers (y > 0).
A linear parent function is represented by the equation y = x and passes through the origin (0,0). Its domain is all real numbers (-∞, ∞) and its range is also all real numbers (-∞, ∞).
A linear function with a slope of 1 is represented by the equation y = x and is a straight line that passes through every point on the graph that has the same x and y value.
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Option B 'The range is positive real numbers (y>0)' is not a characteristic of the linear parent function. The function y=x, known as the linear parent function, has its range as all real numbers, not just positive.
Explanation:The characteristic of the linear parent function, which is not accurate, is: 'The range is positive real numbers (y>0)'.
The linear parent function is y = x, which indeed meets the criteria of the remaining options. It goes through the origin (0,0), its domain covers all real numbers, as x can be any real number, and it has a slope of 1 throughout. However, its range is not only positive real numbers (y>0). The range of the linear parent function actually includes all real numbers because y (the output) can take any real value, both positive and negative, not just positive.
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solve the proportional equation 3/r = 5/r+3
Answer:
r=9/2 or 4.5
Step-by-step explanation:
First of all our goal is to get R by itself
by cross multiplying we get,
(r+3)*3=5r
by distributive property we get
3r+9=5r
substracting 3r from both sides we get
9=2r
by dividing by 2 in both sides we get
r=9/2 or 4.5
Solve for the variable 8x+7=-9
Answer:
x=-2
Step-by-step explanation:
first u subtract 7 on both sides resulting on 8x=-16. Then to isolate x u divide by 8 on both sides.
Answer:
Step-by-step explanation:
I've already solved this problem.
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Given that the surface of the area cube is given by the formula SA equals 6S2 what is the value of essay if S equals 1/2 cm
Answer:
[tex]SA=1.5\ cm^2[/tex]
Step-by-step explanation:
we know that
The surface area of a cube is equal to
[tex]SA=6s^2[/tex]
where
s is the length side of a cube
we have
[tex]s=\frac{1}{2}\ cm[/tex]
substitute
[tex]SA=6(\frac{1}{2})^2[/tex]
[tex]SA=(\frac{6}{4})=1.5\ cm^2[/tex]
Please help! Give the answer and how you got it
Answer:
MN = 10
Step-by-step explanation:
To find the length of a line segment or the straight distance between two points, use the formula [tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex] , where you can substitute two points, which would be (x₁ , y₁) and (x₂ , y₂). "L" stands for length.
Choose point 1 and point 2:
Point 1: M (2, -3) x₁ = 2 y₁ = -3
Point 2: N (8, 5) x₂ = 8 y₂ = 5
Substitute the values for the variables:
[tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]L = \sqrt{(8-2)^{2}+(5-(-3))^{2}}[/tex] Solve inside each bracket first by adding
[tex]MN = \sqrt{(6)^{2}+(8)^{2}}[/tex] Square each number
[tex]MN = \sqrt{36+64}[/tex] Add the numbers
[tex]MN = \sqrt{100}[/tex] Find the square root
[tex]MN = 10[/tex] Length of the line segment
Therefore the length of the line segment MN is 10.
tan 116° =
A) tan 64°
B) -tan 64
C) tan 26
D) -tan 26
Answer:
B)
Step-by-step explanation:
All three trigonometric functions are positive in Quadrant I
Sine only is positive in Quadrant II
Tangent only is positive in Quadrant III
Cosine only is positive in Quadrant IV
Now
tan 116° tan 116° means that the angle 116° lies in the second quadrant.
sin is positive while cos and tan are negative in the second quadrant
tan 116° = -tan(180°-116)
= -tan(64°)
factors of 48 that add to equal 26
Five times the sum of -2 and a number is 91 more than the sum of the opposite of the number and 1
Answer:
n or the number = 5
Step-by-step explanation:
5 * (-2 + n) = 91 + (-n + 1)
-10 + 5n = 19 - n + 1
6n = 20 + 10
6n/6 = 30/6
n = 5
Answer:
The number is 51.
Step-by-step explanation:
Let the number be x and the opposite of a number is -x.
5(-2+x) = 91 + (-x + 1)
-10 + x = 91-x+1
-10 + 2x = 92
2x = 102
x = 51
What is the parallel line to y=-4x-5 and passes the point (-2,6)
Answer:
y = - 4x - 2 is the required equation of the line.
Step-by-step explanation:
Equation of two parallel lines differ only by a constant.
If the equation of a line is [tex]$ ax + by + l = 0 $[/tex] then the equation of the line parallel to it is given by [tex]$ ax + by + k = 0 $[/tex].
Note that only the constants differ in both the equations.
The given equation is: y = - 4x - 2
This is equivalent to 4x + y + 2 = 0.
Therefore, the equation of the line parallel to the given line will be:
4x + y + k = 0.
We are also given the point which passes through the line. We can substitute it to determine the value of 'k'.
Substituting (- 2, 6), we get:
4(-2) + 6 + k = 0
⇒ - 8 + 6 + k = 0
⇒ k = 2
Hence, the equation of the required line is: y = - 4x - 2