Answer:
B
Step-by-step explanation:
To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey. The first scenario would only allow friends of the committee members to be selected, but the second one would give a chance to all students.
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
The height and width of the box shipped is 15 and 8 inches respectively.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The width of the box is seven inches less than the height.
Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.
We know the volume(V) of a cuboid is l×w×h.
Therefore,
24×w×(w + 7) = 2880.
24w(w + 7) = 2880.
24w² + 168w = 2880.
6w² + 42w = 720.
w² + 7w = 120.
w² + 7w - 120 = 0.
w² + 15w - 8w - 120 = 0.
w(w + 15) - 8(w + 15) = 0.
(w + 15)(w - 8) = 0.
w = 8 and hence h = 8 = 7 = 15.
So, the width and height of the box is 8 and 15 inches respectively.
learn more about cuboids here :
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Write the quadratic equation in standard form:
X2– 20 = 52
Answer:
[tex] {x}^{2} - 72 = 0[/tex]
Step-by-step explanation:
[tex]the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0[/tex]
Solve the following equation using any method of your choosing: 6x² +24x = 0
Answer:
x = 0 or x = -4
Step-by-step explanation:
Solve: 6x² +24x = 0
First you can factor this binomial.
6x² +24x = 6x (x + 4) = 0
so x = 0 or x + 4 = 0
x = 0 or x = -4
Find the sum of (x + 4) and (3x + 2) *
Answer:
4x+6
Step-by-step explanation:
(x+4)+(3x+2)
=x+4+3x+2
=4x+6
Please help me I’m about to cry
Answer:
LKH and JKM
Step-by-step explanation:
Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)
Answer: it is angle LKH and angle JKM
Step-by-step explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!
The area of a square is 16 square units. What is the length of a side?
Answer:
4 is the length of a side.
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
4 units
Step-by-step explanation:
The area of a square is denoted by: A = s², where s is the side length.
Here, we know that the area is 16, so plug this in for A:
A = s²
16 = s²
s = √16 = 4
Thus, the side length is 4 units.
~ an aesthetics lover
Karina bought 8 bagels and used a gift certificate for $4. Her total cost is represented by the expression 8b - 4, where b is the cost of a bagel. What is an equivalent expression?
Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
-11f-3
- 11f + 15
None of the above
Answer:
- 11f + 15
Step-by-step explanation:
- f - 5(2f - 3)
= - f - 10f + 15
= - 11f + 15
convert 1.8kg to grams
Answer: multiply the mass value by 1000
Real Answer: 1800
Answer:
1800
Step-by-step explanation:
Allen has a 18-Foot ladder. If he sets it to make a 70 degree angle with the ground, how high will it reach? Round decimal to the nearest hundredth.
Answer:
20.5 feet
Step-by-step explanation:
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
Need help plssssss fast hurry plsss
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer: [tex]150ft^2[/tex]
Step-by-step explanation:
length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]
width: [tex]5 in[/tex]
[tex]Formula: A=w*l[/tex]
[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]
Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.
[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]
[tex]\frac{1}{4}in^2 : 1ft^2[/tex]
Convert.
[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]
Invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]
Write and solve the following problem
Please do it step by step!
4(x-9)-2x=-3x+14
sorry for the stupid answer my b
Answer:
X=-50
Step-by-step explanation:
4(x-9)-2x=3x+14
4x-36-2x=3x+14
2x-36=3x+14
-x-36=14
-x=50
-x divided by 50 makes the x postive & the 50 negative
Write the equation of the circle graphed below.
Answer:
The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.
To find the standard equation of the circle you must:
Step 1: Find circle radius.
To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:
[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]
[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]
Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.
[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]
A race awards prizes for the first and second place winners. If 10 people enter the race, how many different ways can the prizes be awarded?
Group of answer choices
90
10
45
20
Answer:
10
Step-by-step explanation:
there is only ten ways to do it
find the center and radius of the circle x2+(y+8)2=4
Answer: Center (0, -8) and Radius = 2
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.
0.7(1.5+ y) = 3.5y - 1.47
Solve
Answer:
y = .9
Step-by-step explanation:
0.7(1.5+ y) = 3.5y - 1.47
Distribute
1.05 +.7y = 3.5y -1.47
Subtract .7y from each side
1.05 +.7y.-.7y = 3.5y-.7y -1.47
1.05 =2.8y -1.47
Add 1.47 to each side
1.05+1.47 = 2.8y
2.52 = 2.8y
Divide by 2.8
2.52/2.8 = y
.9 = y
Answer:
y = 0.9
C, the third one
Step-by-step explanation:
Examine this multistep equation with variables on both sides.
0.7(1.5 + y) = 3.5y - 1.47
Which of the following is the solution to this equation?
y = 0.09
y = 0.17
y = 0.9
y = 1.7
The sum of the two shorter sides of a triangle must be equal to the longest side to be classified as a triangle
Answer:
False
Step-by-step explanation:
For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5
but when you add 3 and 4 they do not give you 5
so that is false
6x2+40=31x factorise the quadratic equation
Answer:
Step-by-step explanation:
6x² + 40 = 31x
6x² - 31x + 40 = 0
6x² - 16x - 15x + (-5)*(-8) = 0
2x(3x - 8) - 5(3x -8) = 0
(3x - 8) (2x - 5) = 0
Please help!
What is 5.2¯ expressed as a fraction in simplest form?
275
389
265
479
Answer:
Step-by-step explanation:
389
Answer. 3/89
Step-by-step explanation:
HEY FREN
Which expressions have a value of 15 when
S = 15
what are the answer choices?
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let's check all the options, then we have
A. S/3 + 10
If S = 15, then we have
⇒ 15 / 3 + 10
⇒ 5 + 10
⇒ 15
B. S/2 + 10
If S = 15, then we have
⇒ 15 / 2 + 10
⇒ 10 + 10
⇒ 20
C. S + 10
If S = 15, then we have
⇒ 15 + 10
⇒ 15 + 10
⇒ 25
D. - S/3 + 10
If S = 15, then we have
⇒ -15 / 3 + 10
⇒ -5 + 10
⇒ 5
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
More about the value of the expression link is given below.
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The missing options are given below.
A. S/3 + 10
B. S/2 + 10
C. S + 10
D. - S/3 + 10
There are 125 sheep and 5 dogs in a flock how old is the shepherd?
Answer:
25 years old
hope this helps
~savannah:))
If there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
The number of sheeps are 125
One hundred twenty five
The number of dogs are 5
Five.
We need to find how old is the shepherd
To find this we just need to divide one hundred twenty five by five
125/5
25
Hence, if there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
To learn more on Division click:
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Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED
Answer:
Engineers use the Pythagorean Theorem to figure out measurements of objects.
please help will mark brainlist
Answer:
Step-by-step explanation:
8/17
Answer:
8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
cos X = 8/17
if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum
Answer:
48.048
Step-by-step explanation:
multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you
Graph the function.
h(x) = -1/5x^2+2x
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
What is the slope of the line
the slope of the line above is -2
what is the answer to 22% of 49.6?
Answer:
10.912
Step-by-step explanation:
0.22*49.6=10.912
Answer:
the answer is 225.45
Step-by-step explanation:
49.6 ÷ 22% =
49.6 ÷ (22 ÷ 100) =
(100 × 49.6) ÷ 22 =
4,960 ÷ 22 ≈
225.454545454545 ≈
225.45
Please answer as soon as you see this it’s urgent
Answer:
m∠DEH= 128.6°
Step-by-step explanation:
∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.
This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.
Answer:
128.6
Step-by-step explanation:
GHJ= DEH
adjasent angle
I request assistance.
Answer:
just google it dude
Step-by-step explanation:
google :)
