Answer:
B
Step-by-step explanation:
Solve for X. Round to the nearest tenth.
29
18
Answer:
x = 30.5
Step-by-step explanation:
cos(18º) = 29/x
Multiply both sides by x and divide both sides by cos(18º) to get
x = 29/cos(18º)
x = 30.5
The ratio of teachers to students at Pikeville College is 1: 20. If there are 3,000 students at the college,
how many teachers are there?
Find (-3/7) divided (-1 1/14)
Answer:
2/5
Step-by-step explanation:
first, we convert the mixed fractions to improper fractions,
[tex]-1\frac{1}{14}=\frac{15}{14}[/tex]
so then we find what [tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex]
[tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex] = [tex]-\frac{3}{7} * -\frac{14}{15}[/tex]
and that equals [tex]\frac{3*14}{7*15}[/tex] , which equals [tex]\frac{42}{105}[/tex]. We can simplify that to 2/5
A rectangular prism has a width of x cm. Its length is 3 cm more than its width, and its height is 4 cm more than its length. Write an algebraic expression, in simplified form, for the volume of the prism.
Answer:
Step-by-step explanation:
Width: x
Length: x + 3
Height: x + 3 + 4 = x + 7
Volume of prism = area of cross section x length
Area of cross section = width x height = x ( x + 7 ) = x² + 7x
Volume = (x + 4) x (x² + 7x)
= x³ + 7x² + 4x² + 28x
= x³ + 11x² + 28x
The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].
What is volume?Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.
How to calculate volume?We know that volume of rectangular prism is L*B*H.
We have been given that width is x cm.
According to question length will be x+3,
Height will be x+3+4
=x+7
Volume will be =x(x+3)(x+7)
Multiply the expressions,
=x([tex]x^{2}[/tex]+3x+7x+21)
=x([tex]x^{2}[/tex]+10x+21)
=[tex]x^{3} +10x^{2} +21x[/tex]
Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].
Learn more about volume at https://brainly.com/question/463363
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Jerry's Catering provided food and drinks for 54 guests at the New
Year's eve party. Jerry charges $25 per for food and $6 per drink for
each guest. How much money did Jerry's Catering make for this
party?
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2000 seats. The students filled 320 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
16.8%
Step-by-step explanation:
Answer:
16 percent of the seats (16%)
Step-by-step explanation:
There are 2000 seats in total but 320 of them are being taken by the students so 320seats out of or divided by the total 2000. 320/2000 is 0.16 and 0.16 as a percent is 16%
A four-sided figure has 4 congruent sides,
Which plane figure best fits this description?
A)kite
B)quadrilateral
C)rectangle
D)Thombus
E)square
Answer:
Step-by-step explanation:
D Thombus
3x 3x 15 Perimeter of triangle: If the perimeter of the triangle is 90, what is the value of x? X =
If the perimeter of the triangle is 90. Then the value of the variable x will be12.5.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
The dimension of the triangle are 3x, 3x, and 15. If the perimeter of the triangle is 90. Then the equation is given as,
3x + 3x + 15 = 90
6x = 90 - 15
6x = 85
x = 12.5
The value of the variable x will be12.5.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Please answer asap
no work needed :)
Answer:
2x+12 simplified is x+4
There are 4 empty brown bags on the table with four extra pieces
of candy sitting outside the box. How many pieces of candy will
be allocated to each bag if there was a total of 36 pieces of candy?
Answer:
it would be 9
Step-by-step explanation:
Ely was asked to draw a line of best fit threw the given scatterplot. He put a point at (0, 0) and (7, 7) and drew a line through them and said it was the line of best fit for the data. Part A: Explain why Ely's line is NOT the best fit. Part B: What would be a better line of best fit for the scatter plot? Part C: How does the actual line of best fit compare with Ely's line?
Answer:
still need help ?
Step-by-step explanation:
Can anyone help me with this math question
Answer:
89 seats are not being used
Step-by-step explanation:
You subtract the seats being used by teachers
342 - 75 =267
Change 2/3 into a percentage = 66.6%
Find 66.6% of 267= 177.8 (I rounded up to 178)
Then subtract 177.8/178 from 267 to find the amount of seats not being used.
The amount of seats not being used would come down to 89 seats.
I hope this helps!
slope is 1/2 and a point is (4, -5) solve for b
Y=mx+b
Answer:
y=1/2x-7
Step-by-step explanation:
Answer:
-5=1/2(4)+b
-5=2+b
-7=b
Hope this helped!
Find the simple interest: Principal: $1750 Interest Rate: 2% Time: 9 years
Answer:
2,065.00
Step-by-step explanation:
Answer:
315
Step-by-step explanation:
To find simple interest you multiply all your numbers together.
But before you do anything you need to convert your interest rate into a decimal (you move the decimal two times to the left or divide it by 100)
Therefore , you will multiply 1750 * .02 * 9
which equals 315
−
2
x
+
y
=
−
1
2
x
+
5
y
=
7
Answer:
I got you the answer is X = 14 and Y = 35
Between which two consecutive whole numbers does √14 fall on the number line? Pls awnser
Answer:
3 and 4
Step-by-step explanation:
-k/3 = 9
answer = ??
Answer:
-k=9×3
-k=27
God luck friend
If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
Answer:
roots: 1 and 3
k = 3
Step-by-step explanation:
2 roots: p and p+2
(x-p) (x-p-2) = x² - 4x + k
x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k
-2 (p+1) = -4
p+1 = 2
p = 1 ... root 1
p' = 1+2 = 3 ... root 2
k = p² + 2p = 3
check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k
pls help me 10 points
Answer: Approximately 20 miles per gallon
Step-by-step explanation:
The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.
Zoom in on the photo:)
True or False? When you are dividing 2 numbers, you have to check to see
if there is a decimal in the divisor. If there is a decimal in the divisor, you
have to multiply that number by a power of ten to move the decimal to the
right. You have to move the decimal the same number of times to the right
in the dividend too. Then you can divide your numbers.
Answer:
true, have a great day and i hope that helped :)
Jozy throws a stone off of a bridge into a river. The function fff models the stone's height (in meters) above the water as a function of time (in seconds) after Jozy throws it. Plot the point on the graph of fff that corresponds to the height above the water from which Jozy threw the stone.
Answer: it’s 25 from the height line
Step-by-step explanation:
Answer:
0,25
Step-by-step explanation:
2(x + 10) = 26
Solve for x
Answer:
3
Step-by-step explanation:
Help pppppppppppppppPPPPPPPP
Answer:
39
Step-by-step explanation:
if you square 15 and 36 you get
225+1296=1521
1521 square rooted is 39
Answer:
39
Step-by-step explanation:
15² +36² =1521
√1521 = 39
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Answer:
Carlos i think because he got menus faster then Melissa
Step-by-step explanation:
Solve the equation for d.
0.2d+3.14=5.06
What is the value of d that correctly solves the equation?
Enter your answer as a number with one decimal place, like this: 4.2
Do not round your answer.
Answer:
d=9.6
Step-by-step explanation:
0.2d+3.14=5.06
- 3.14
_________________
1.92
0.2d=1.92
1.92/0.2= 9.6
There is a line that includes that point (-6,3)and has a slope of 1/10 . What is its equation in point-slope form?
Answer:
y = 1/10 x + 18/5
Step-by-step explanation:
The general form of the equation of a line is given as
y = mx + c where m is the slope and c is the intercept
For a line with given points (x1, y1), the equation is given as
y-y1 = m(x-x1)
Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line
y - 3 = 1/10(x --6)
multiply both sides by 10
10y - 30 = x + 6
Rearrange
10y = x + 6 + 30
10y = x + 36
y = 1/10 x + 36/10
y = 1/10 x + 18/5
Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.
Answer:
2x² + 4x + 1
Step-by-step explanation:
Given the question :
4x^3+18x^2+22x+5 divided by 2x+ 5
Dividend = 4x^3+18x^2+22x+5
Divisor = 2x + 5
In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture
Sam ran several errands and used 7 gallons of gas. There were 5 gallons left in the tank. (Use g as a variable.)
Answer:
[tex]g= 2[/tex]
Step-by-step explanation:
Given
[tex]Used = 7[/tex]
[tex]Left = 5[/tex]
Required
Determine the additional gallons used (g)
This is calculated as:
[tex]Left+ g= Used[/tex]
So, we have:
[tex]5 + g = 7[/tex]
Make g the subject
[tex]g = 7 - 5[/tex]
[tex]g= 2[/tex]
PLLZZZZZZZ HEEEEEELPPP
Answer:
it is the 4th button choose that one the side v pointing to the right
Step-by-step explanation:
One year ago Claire was 4 feet 6 inches tall. Now Claire is 4 feet 10 inches tall. By what percentage did Claire's height increase?
Answer:
7.4 percent
Step-by-step explanation:
Convert both measurements to inches.
4 feet 6 inches = 54 inches
4 feet 10 inches = 58 inches
Formula for Percent of Increase:
%
o
f
I
n
c
r
e
a
s
e
=
Difference
Original
⋅
100
58 - 54
54
⋅
100
4
54
⋅
100
7.407407
...
%
or about
7.4
%