Answer:
120 cm³Step-by-step explanation:
this is a ratio and proportion of two similar solids
vol A = 60 cm³ and A = 3cm
vol B = ? and B = 6 cm
60 = 3
B 6
do cross multiply:
3B = 60(6)
B = 120 cm³
therefore, the vo. of B is 120 cm³
Lemme put y’all on this app called Cymath. It answers the questions and explains the steps
Amanda is making white oatmeal cookies with raisins and pecans for her club. The recipe makes seventeen of the big, chewy kind of oatmeal cookies with lots of raisins and nuts. It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies! There are thirty-four members in Amanda's club. If she makes exactly thirty-four cookies, how many cups of nuts will she need?
Answer:
half a cup
Step-by-step explanation:
if one fourth is needed for 17 and thirty four is the double of 17, then
1/4 x 2 = 2/4
2/4 simplified is 1/2->half
If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
Not sure how to do this
(4+3c^5)(4-3c^5) combine like terms
Answer:
16 − 9 c ^10
Step-by-step explanation:
Simplify the expression.
Answer:
-9c^10+16
Step-by-step explanation:
(4+3c^5)(4-3c^5) multiply
(16 -12c^5+12c^5-9c^10) combine and rewrite
-9c^10+16
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.
Answer:
15.87%
Step-by-step explanation:
Given that :
Mean (m) = 2.51
Standard deviation (σ) = 0.44
Percentage of students with grade point average no more than 2.07
Using the relation :
Zscore = (X - mean) / standard deviation
X = 2.07
Zscore = (2.07 - 2.51) / 0.44
Zscore = - 0.44 / 0.44
Zscore =. - 1
P(Z < - 1) : using the z table
P(Z < 1) = 0.1587
Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%
In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.
Answer:volts =60v
Step-by-step explanation:
STEP 1
The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as
V∝ C
introducing the proportion of constant , we have
V=KC
Step 2
When current =12 amps, and volts = 480, we have
V=kC
480=K X 12
Constant of proportionality ,K= V/C=480/12= 40
Therefore, when current = 1.5 amp, volts=?
V= KC
V= 40 X 1.5
V= 60 volts
Solve for f 7a - 3d + 6f = 5
Answer:
f = 5/6 - 7a/6 + d/2
Step-by-step explanation:
Nathan bought 3 1/4 pounds of apples for $0.75 per pound. How much did Nathan pay for the apples (rounded to the nearest hundredth)?
Answer: 2.5
Step-by-step explanation:
3 1.4 lbs also equals 3.25
3 x 0.75 = 2.25
2.25 + 25 = 2.5
What is the equation of the line ? and how do i know ?
Answer:
The equation of the line is y=-16x+7
Step-by-step explanation:
I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.
Anyways, you need to find the slope because you already know the y-intercept, 7.
Slope=rise/run between two pretty points( A point that lines up on the grid)
So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.
The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality,
x
y
start fraction, y, divided by, x, end fraction ?
0.50
Step-by-step explanation:
Its right <3
In the graph the constant of proportionality is 0.5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
From the given graph let us take one point (1, 0.5)
k=0.5/1
Constant of proportionality is 0.5
Hence, in the graph the constant of proportionality is 0.5
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help I’ll award brainliest
Answer:
Most likely the answer hope this helps :P
Step-by-step explanation:
1= 10
2= 20
5 = 50
8 = 80
X = 100
cell phone company A charges an $80 deposit and $10 each.month for unlitmited service.cell phone company Charges a $70 deposit and $12 each month for unlimited service.after how many months will cell phone company A cost more then cell phone company B?
A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?
Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750
The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750
Explanation:
In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.
In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.
Hannah is making cookies. Each batch of cookies uses 3/4 lbs of butter. She is going to make 5 batches. How much butter will she need?
Answer:3/4*5=3 3/5
Step-by-step explanation:
Which one?
A. B. C. or
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
help me pleaseeeeeeeeeeeee
Answer:
Parallel
Step-by-step explanation:
The run right by each other not touching
Answer:
parallel
Step-by-step explanation:
2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).
Answer:
y= - 1/4x
Step-by-step explanation:
The equation of the line passing through that point with the required slope is y=2x+3.
What is slope?The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line. The slope of a straight line can also be represented by the formula tan θ = Δy/Δx So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.
Given:
The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".
The slope of a line passing through points (x1,y1)and(x2,y2) is given by
m=(y2−y1)/(x2−x1)
The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.
slope m of a line, and the coordinates of a known point (x1,y1) it is simple to plug them into the point-slope formula for a line to determine the equation for that line.
y=mx +b
y1=mx1+b
solve for b
Going through those steps:
(x1,y1)=(-6, 8)
(x2,y2)=(10,0)
m=(0-8)(10-(-6))=-0.5
[tex]m^p[/tex]=−1/-0.5= 2
our known point is (−4,−5)
−5=2(−4)+b
-5 = -8+b
b = 3
Therefore, the equation of the line passing through that point with the required slope is y=2x+3.
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Four friends stay at the Pickled Parrot Hotel for a night and each
have an evening meal. Bed and Breakfast costs £37 per person and
the evening meal costs £15 per person. How much is the total cost,
if a service charge is added at 171/2%?
Answer:
total cost is £244.4
Step-by-step explanation:
( 37 * 4 ) + ( 15 * 4 ) = 208
208 * .175 = 36.4
208 + 36.4 = 244.4
HOPE THIS HELPS
estimate then divide 36712 divided by 52
Answer:
7060 Step-by-step explanatiojo:
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
The school is 1.5 miles away from Jonathan's home
Step-by-step explanation:
Let D be the distance remaining after 1 mile
We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.
So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance
Speed of Jonathan bike = 15 mph
Speed of Mother's bike = 25 mph
So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]
25D=15D+15
10D=15
D=1.5
So, the school is 1.5 miles away from Jonathan's home
If f(x) = ln(x+4+e^-3x) then f'(0) is what?
Answer: f(0) = 0
Step-by-step explanation: anything multiplied by 0 is 0.
The value of [tex]f'(0)=\frac{-2}{5}[/tex]
What is Derivative of a function?
The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument
It is denoted by f ' ( x ) = dy / dx
Given data ,
Let the function be f ( x ) = [tex]ln(x + 4 + e^{-3x} )[/tex]
To differentiate f ( x ) ,
Let [tex]y=ln(a)[/tex] , where [tex]a=x+4+e^{-3x}[/tex]
So ,
[tex]e^{y} =a[/tex]
Using this function , we can write
[tex]e^{y} = x + 4 + e^{-3x}[/tex]
On differentiating , we get
[tex]e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}[/tex]
Dividing by [tex]e^{y}[/tex] on both sides , we get
[tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }[/tex]
We know , [tex]e^{y} =a[/tex]
And [tex]e^{y}=x+4+e^{-3x}[/tex]
So , [tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]
Therefore [tex]f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]
Now , [tex]f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }[/tex]
[tex]f'(0)=\frac{-2}{5}[/tex]
Hence , the value of [tex]f'(0)=\frac{-2}{5}[/tex]
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Students was 1: 8. However, this year the ratio of the number of middle school students to the number of high school students changed to 2: 7. If there are 18 middle school students in the band this year, how many fewer high school students are in the band this year compared to last year? Expla
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
Solve −3.5 = x/4 for x using the multiplication property of equality.
The operation in the problem is
-Addition
-Subtraction
-Multiplication
-Divison
The inverse operation is
-Addition
-Subtraction
-Multiplication
-Divison
= x
0.5
-7.5
-12
-14
Answer:
Step-by-step explanation:
The operation in the problem is division
The inverse is multiplication
(-14)
Answer: division inverse= multiplication answer=-14
Step-by-step explanation:
Pls help..it is an emergency...
Thank u
Answer:
Triangle A did a reflection over the x-axis and the translated down two units to become triangle B
Step-by-step explanation:
Hope this helps. Happy Halloween
my sister asked if you guys can solve this out for her. thanks
Answer:
Part 1: 10, Part 2: 6
Step-by-step explanation:
EVALUATE
9(6−2.4)−10
Answer:
The answer is 22.4.
Answer:
22.4
Step-by-step explanation:
you multiply 6 and -2.4 by 9
that gives you 54 and -21.6
then you add -10 to -21.6 giving you -31.6
lastly subtract -31.6 out of 54
which gives you 22.4
i need help with this question. please help me.
Answer:
it cost $9.2972048
Step-by-step explanation:
Answer:
Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.
this is the picture that goes with my question.
Answer:
first u should make your equation: y= -1/5 (x-5) - 3
y= -1/5x +1 -3
y= -1/5 x -2
then u should setting some number like 1 ,2 ..... instead of *x* and when u done this u should dissolve it (now your *y* is came out too) so you have your x,y now
According to the points you get, you put it on the chart and connect it
if you do not understand something, tell me to draw on paper so you can understand better
Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?
Answer:
(3,2)
Step-by-step explanation:
I hope this helps : )