Answer:
350
Step-by-step explanation:
Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:
A = 7 * 10 * 10
A= 7 * 5 * 10.
(You divide the ten on the bottom)
7*5 = 35
35*10 = 350
Answer:
240
Step-by-step explanation:
The surface is the sum of the sides (all 4 equal) plus the base.
A = 4(1/2B * H) + B**2
A = 4((1/2 * 10) * 7) + 10 * 10
A = 4(5 * 7) + 100
A = 4 * 35 + 100
A = 140 + 100
A = 240
At a local fitness, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answer:
4 classes
Step-by-step explanation:
1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.
Cost = 3x + 6 for members
Cost = 4x for nonmembers
2. Set the equations to equal each other and solve.
3x + 6 = 4x
-3x -3x
6 = x
3. Check your answer
4*6 = 24
(3*6) + 6 = 24
For 4 aerobics classes, the cost for members and nonmembers is the same.
Given f(x) = 10x.
a. Graph b(x) = f(x) - 30. Then complete the table of corresponding points for b(x)
Answer:
b(x) = 10x - 30
Step-by-step explanation:
You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).
This gives the equation b(x) = 10x - 30
or y= 10x - 30
The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the function -
f(x) = 10x
We have the function -
f(x) = 10x
Now -
b(x) = f(x) - 30
b(x) = 10x - 30
This is the equation of a straight line.
Refer to the graph attached.
The slope of the line is [m] = 10
The [y] intercept is at [c] = - 30
Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30
To solve more questions on straight lines, visit the link below-
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Please help me on this it’s due
================================================
Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]
Do the same for the other mixed number 2 & 1/3.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]
-----------------------
From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]
The last step is to convert that result to a mixed number.
[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
-----------------------
Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
.....HELPPP QUICK MATH TEST
Answer:
112
Step-by-step explanation:
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
Monday's low temperature was – 19" and its high was –7
Answer:
-19 degrees fahrenheit?? and -7 degrees celcius??
Step-by-step explanation:
There are 26 empty parking spots and
24 full parking spots in the parking
garage. What is the ratio of the number
of empty parking spots to the number
of full parking spots?
I suck at ratios help me
Answer:
26:24 or 24:26 that is the ratio
El doble de un número más de 3 unidades
Lá resposta de el pergutala é 2x+3
Hmm I’ve spent time on it… help pls anyone?
help - *sobs* lol T_T
A. 112°
21x+5+37x+1=180
58x+6=180
-6
58x=174
÷58
X=3
37(3)+1
111+1
112
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of any day?
Answer:
16777216
It took a lot of space on the calculator
[tex]8mx^{2}nx^{4}[/tex]
Step-by-step explanation:
You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account
On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10,6). what is the lengths of the three sides to the nearest tenth.
Answer: See attached image for graph
PQ: √50
QR: √18
PR: √68
Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:
distance = √(x₂-x₁)² + (y₂-y₁)²Thus, we just apply this formula for each side length.
Choose the option that best describes what it means to get 70% on a test.
If there were 70 points possible, you earned all of them.
If there were 100 points possible, you earned 7.
If there were 100 points possible, you earned 30.
O If there were 100 points possible, you earned 70.
Answer:
If there were 100 points possible, you earned 70.
Step-by-step explanation:
So 70% means 70 per cent which means 70 parts per 100 parts. So this means that out of the total 100 maximum possible points, you have earned 70 of them but did not earn 30
Raise the fraction to its highest terms by supplying the missing numerator.7/8=?/240
The required simplified value of the given expression is 210
As mentioned in the question,
To raise the fraction to its highest terms by supplying the missing numerator.7/8=x/240.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
according to the question,
7 / 8 = x / 240
x = 7/8 × 240
x = 7 × 30
x = 210
Thus, the required simplified value of the given expression is 210.
Learn more about simplification here:
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What percent represents the part of the model shaded green. A.60% B.62.5%. C.66.7% D.75%
Answer:
60%
Step-by-step explanation:
3/5 = 6/10 = 60%
Answer:
A. 60%
Step-by-step explanation:
3/5 =30/50=60/100
1/4÷3/8 i need helpp tyy
8/12 is your answer hope i could help
you jog 3 miles in 30 minutes. At that rate, how long will it take you to jog 6 miles
Answer:
1 hour
Step-by-step explanation:
am i right
5. In your part-lime job selling kitchen knives, you have two different sets available.
The better sel sells for $35, the cheaper set for $20. Last week you sold more of the
cheaper set, in fact Iwice as many as the better sets. Your receipts for the week totaled
$525. How many of the better sets did you sell?
Answer: 8.75
Step-by-step explanation:
575 divided by 3 equals 175. Divided by 20 equals 8.75. Probably rounds up to 9 but i dont know.
What is the difference in the account balances shown below? Behrooz: (-$21.00) Cody: $3.00
Answer:
-7
Step-by-step explanation:
-21.00/3.00
Help help help help help help whelp
Answer:
y = -2x - 12
Step-by-step explanation:
since they are asking for a parallel line, the slope will be the same:
in this case:
-2
now, we are given a point that the line goes through: (-6,0)
x is -6, y is 0
knowing all of these things, solve it:
0 = -2*(-6) + b
0 = 12 + b
b = -12
the equation of a line is y = mx +b
so:
y = -2x - 12
Help please i need this done by tomorrow
Step-by-step explanation:
here you go I hope my answer is correct goodbye
Answer:
i think you draw it
Step-by-step explanation:
it tells you the answer
In each case use the new theorems to arrange the letters measures from greatest to least
Answer:
answer is a,b,c
Step-by-step explanation:
What is the distance between W(3, 1) and X(-2,-5)? Round to the nearest tenth.
10
A. 61.0
B. 3.3
C. 2.2
D. 7.8
Answer:
D. 7.8
Step-by-step explanation:
Distance formula: [tex]\sqrt{(x_{2} - x_{1})^2 +( y_{2} - y_{1})^2 }[/tex]
Substituting (-2 - 3)² + (-5 - 1)²
Distance = [tex]\sqrt{(-5)^2 + (-6)^2}[/tex]
Distance = [tex]\sqrt{25 + 36}[/tex]
Distance = 7.8
solve for x on both
1. -1-3x+7x=17
2. 4x-5+7x=-10
(please show your work if possible:)
Step-by-step explanation:
1. -3x+7x=18
x(-3+7)=18
x=[tex]\frac{18}{(-3+7)}[/tex]
2. 4x+7x=-5
x(4+7)=-5
x=[tex]\frac{-5}{(4+7)}[/tex]
I hope this helped, may be wrong but ive done it my way
7. a Police can estimate the speed of a vehicle before the brakes are applied using the formula
0.75d =
s°
30.25
where s is the speed in miles per
hour and d is the length of the vehicle's skid
marks. What was the approximate speed of a vehicle that left skid marks measuring 140 feet?
O about 10 miles per hour
O about 75 miles per hour
about 15 miles per hour
about 56 miles per
hour
Answer:
A
Step-by-step explanation:
Answer for points I’ll thank it
Answer:
What is the question?
Step-by-step explanation:
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
x=[tex]\sqrt{220}[/tex]
Step-by-step explanation:
Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.
We know that
a²+b²=c²
Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).
In this case,
x=a
b=6
c=16
So to plug these into the equation, we get:
x²+6²=16²
To isolate x,
we get:
x²=16²-6²
x=[tex]\sqrt{16^2-6^2}[/tex]
[tex]x=\sqrt[]{220}[/tex]
_________
[tex] \: [/tex]
x² = 16² - 6²
x² = 256 - 36
x² = 220
x = √220
x ≈ 14.9cm
Jada and her friends want to go indoor skating on Saturday night. Jacaranda Skating Zone charges $40 for entry and $12 per hour to skate, while Wiles Skating Zone charges $10 for entry and $22 per hour to skate. At how many hours would it be the same cost at either skating zones?
At 3 hours both Jacaranda and Wiles would have the same cost
Let y represent the total charges by Jacaranda and x represent the number of hours. Hence:
y = 12x + 40
Let z represent the total charges by wiles and x represent the number of hours. Hence:
z = 22x + 10
Since they are to have the same cost, hence:
y = z
12x + 40 = 22x + 10
10x = 30
x = 3 hours
Therefore at 3 hours both Jacaranda and Wiles would have the same cost.
Find out more at: https://brainly.com/question/13911928
A fishing boat radioed the Coast Guard for a helicopter to pick up a sick crew member. At the time of the message, the boat is 660 kilometers from the helicopter and heading toward it. The average speed of the boat is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the boat