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▹ Answer
$49,980
▹ Step-by-Step Explanation
[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]
Hope this helps!
CloutAnswers ❁
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Solve the equation 14=7(2x-4) using two different methods. Show your work. Which method do you prefer? Explain. need help thanks
Answer:
x=3
Step-by-step explanation:
14=7(2x-4)
14/7=2x-4
2=2x-4
2x=2+4
2x=6
x=6/2
x=3
------------
14=7(2x-4)
14=14x-28
14x=14+28
14x=42
x=42/14
x=3
The equation 14 = 7(2x - 4) can be solved using two different methods: the distributive property method and the inverse operations method. Both methods yield the same solution, which is x = 3. The preference between the two methods depends on personal preference and the specific equation being solved.
Distributive Property Method:
We'll distribute the 7 to the terms inside the parentheses:
14 = 7(2x - 4)
14 = 14x - 28
Next, we'll isolate the variable term:
14x = 14 + 28
14x = 42
Finally, we'll solve for x by dividing both sides of the equation by 14:
x = 42/14
x = 3
So the solution to the equation is x = 3.
Inverse Operations Method:
We'll use inverse operations to solve the equation step by step:
14 = 7(2x - 4)
Divide both sides of the equation by 7 to isolate the term in parentheses:
14/7 = 7(2x - 4)/7
2 = 2x - 4
Add 4 to both sides of the equation to isolate the variable term:
2 + 4 = 2x - 4 + 4
6 = 2x
Divide both sides of the equation by 2 to solve for x:
6/2 = 2x/2
3 = x
To learn more on Equation:
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TELL ME THE FORMULA FOR VOLUME AND SURFACE AREA OF PRISMS
Answer:
surfacevolume = 1/2 (bh) l
surfacearea = bh + pl
Step by step on how to do this plz
Answer:
a=8/3
Step-by-step explanation:
(-1/8)a=(5/8)a-2
2=((5/8)+(1/8))a
a=8/3
Step-by-step explanation:
hope this is helpful please
A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
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PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!!!!!Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?
f(x) = −6(x + 1)(x + 5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x + 1)(x + 5)
f(x) = −5(x − 1)(x − 5)
Answer:
f(x) = −6(x + 1)(x + 5)
Step-by-step explanation:
f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.
Step by step in how to do this plz
Answer: a. 5^42 and b 9a^6
Step-by-step explanation:
a. (5^3+4)^6
(5^7)^6 = 5^42
Compute the odds in favor of obtaining a number divisible by 5 in a single roll of a die.
Answer:
1/6 or 16.7% chance
Step-by-step explanation:
A die has 6 sides, and there is only one side with a number divisible by 5, which is the number 5.
So, the probability of rolling a number divisible by 5 is 1/6.
= 1/6 or 0.167
The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The die is rolled for a single time. Then the total number of the events will be
Total event = 6 {1, 2, 3, 4, 5, 6}
The odds in favor of obtaining a number divisible by 5 will be
There is only one number that is divisible by 5 which is 5.
Then the number of favorable events will be
Favorable event = 1 {5}
Then the probability will be
P = 1 / 6
P = 0.1667
The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.
More about the probability link is given below.
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Find f-1.
f(x)=4 log2 (x – 7)
Answer:
f(1) = 10.33985 + 18.1294406 i
Step-by-step explanation:
f(1) = 4log2(1-7)
f(1) = 10.33985 + 18.1294406 i
how do i answer these?
Answer:
1. distributive
2. associative
Step-by-step explanation:
In the first one, they are distributing 16 + 23 by the 4.
Therefore it is distributive property as they are splitting and then separately multiplying.
In the second one, the parentheses are shifted. The shifting of parentheses indicates priority, and the associative property says in addition you can choose what you'd like to do first and it won't change the answer.
-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]
We can disregard the units temporarily to create a ratio for 4.5 to 4:
4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:
2 · (4.5 : 4) = 9 : 8
Express as a fraction:
[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]
Please help and explain so I can understand for future questions
Answer:
C
Step-by-step explanation:
Divide 4.5 by 3 = 1.5
1.5 x 3 = 4.5
Answer:
1.5 (c)
Step-by-step explanation:
You have to find the difference:
so you have to divide 4.5 the original and 3 the scaled image to see how much changed.
4.5 / 3 = 1.5
Help me pleaseeeeeee
Answer:
B
it's a recurring number therefore it's irrational
25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 10 cars per hour 20 cars per hour B) 30 cars per hour D 40 cars per hour
Answer:
B. 30 cars per hour
If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour
hope you got it xx
9x^3-16x^2=0. Solve and show all steps.
Answer Step one x=16/9 =1.778
Last step is x²=0
Hope I helped you
Answer:
the roots are {0, 0, 16/9}
Step-by-step explanation:
The trick to solving this is to factor out x^2 from both terms on the left:
x^2*9*x - 16x^2=0, or
x^2(9x - 16) = 0
Then, either x^2 = 0 or (9x - 16) = 0.
Thus, the roots are {0, 0, 16/9}
Using the similar triangles, which equation could be used to find the slope of line AB? A) m = p q B) m = q p C) m = n m D) m = q n
solve for m. √m-7 = n+3 It is worth like 40 points
Answer:
sqrt of (m-7) = n+3
m = (n+3)^2 + 7 or m= n^2 + 6n + 16
sqrt of (m)-7 = n+3
m = (n+10)^2 or m =n^2 + 20n + 100
Step-by-step explanation:
(2) move the constants to the other side, and square
or (1) square and move constants
then you can solve for m
Answer:
[tex]n^2+6n+16[/tex]
Step-by-step explanation:
I'm going to assume you meant [tex]\sqrt{m-7} = n+3[/tex], not [tex]\sqrt{m} - 7 = n+3[/tex].
[tex](\sqrt{m-7}) ^2 = (n+3)^2\\\\(\sqrt{m-7}^2) = (n+3)^2\\\\(m-7)^{\frac{2}{2} } = (n+3)^2\\\\m - 7 = (n+3)^2\\\\m - 7 = n^2 + 2n\cdot3 + 3^2\\\\m - 7 = n^2 + 6n + 9\\\\m - 7 + 7 = n^2 + 6n + 9 + 7\\\\m = n^2 + 6n + 16[/tex]
Hope this helped!
The net of a right rectangular prism is shown below: Find the volume of the prism with the given net (in cubic inches).
Answer:
240 inches cubed
Step-by-step explanation:
Volume equals length times width times height. Imagine the net is folded into its shape. The product of the base, 6 x 10 = 60, and the height, 4, equals 240. Remember that each square accounts for two inches. Hope this helps.
What are the coordinates of the vertices of the polygon in the graph that are on one of the axes? A) (0,2), (5,0), (0,–2) B) (–4,–4), (–3,4), (4,3), (4,–3) C) (–5,0), (0,2), (0,–2) D) (–5,0), (0,2), (5,0), (0,–2)
Answer:
D) (–5,0), (0,2), (5,0), (0,–2)
Step-by-step explanation:
The vertices are basically the x and y intercepts.
Which constants could each equation be multiplied by to eliminate the x-variable using addition in this system of equations? 2x+3y=25 -3x+=22 first equation can be multiplied by –3 and the second equation by 2. The first equation can be multiplied by –4 and the second equation by 2. The first equation can be multiplied by 3 and the second equation by 2. The first equation can be multiplied by 4 and the second equation by –3.
Answer:
The first equation can be multiplied by 3 and the second equation by 2.
Step-by-step explanation:
Given
[tex]2x+3y=25[/tex]
[tex]-3x + y=22[/tex]
Required
How to eliminate x
To eliminate x using addition, we have to do the following;
1. Take the coefficient of x in equation 1; Coefficient = 2
2. Take the coefficient of x in equation 2; Coefficient = -3
3. Multiply equation 1 by 3
[tex]3(2x + 3y = 25)[/tex]
[tex]6x +9y = 75[/tex]
4. Multiply equation 2 by 2
[tex]2(-3x + y = 22)[/tex]
[tex]-6x + 2y = 44[/tex]
5. Add both resulting equations
[tex]6x +9y = 75[/tex] + [tex]-6x + 2y = 44[/tex]
[tex]6x - 6x + 9y + 2y = 75 + 44[/tex]
[tex]11y = 75 + 44[/tex]
Notice that x has been eliminated;
A, B, C and D lie on the circumierence of the circle.
Lengths AB and AD are equal.
Lengths BC and BD are equal.
Work out CBD.
Answer:
Step-by-step explanation:goofy
This is for my math class
Answer:
-25 feet
Step-by-step explanation:
We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.
To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.
-1500/60 = -25
60/60 = 1
So the rate of change would be -25 feet
Santiago is eight years younger than Juan is today. If, in four years, Santiago will be half Juan’s age, how old is Santiago today? a) 1 b) 2 c) 3 d) 4
Answer:
d) 4.
Step-by-step explanation:
Let Santiago be x years old today.
Then Juan is x + 8 years old.
In 4 years Santiago will be x + 4 years.
In 4 years Juan will be x + 12 years.
From the given information:
x + 4 = 0.5(x + 12)
x = 0.5x + 6 - 4
0.5x = 2
x = 2 / 0.5
x = 4.
PLS HELP ME WITH THIS QUESTION I NEED IT QUICK! anything helps..
Answer:
Graph A
Step-by-step explanation:
if you look at the numbers on the top row they correspond with the left side of the graph and the bottom row of numbers correspond with the bottom of the Graph.
Answer:
Graph A)
Step-by-step explanation:
The first points 20,70 and 30,70 are both plotted correctly on this graph, same with the other points. :)
PLEASE I REALLY NEED HELP WITH THIS KHAN ACADEMY QUESTION!!!!!!!
Answer:
∠RPS = 49º
Step-by-step explanation:
∠RPS + ∠QPR = 88º
(5x + 34) + (8x + 15) = 88
13x + 49 = 88
13x = 39
x = 3
plug x into equations:
∠RPS = 5(3) + 34
∠RPS = 15 + 34
∠RPS = 49º
check work:
∠QPR = 8(3) + 15
∠QPR = 24 + 15
∠QPR = 39
∠RPS + ∠QPR = 88º
49 + 39 = 88
Answer:
49
Step-by-step explanation:
(5x+34) + (8x+15)= 88
13x + 49 = 88
13x= 39
x=3
RPS= 5(3)+34
RPS= 15 +34
RPS= 49
You can choose from the following 15, 16, 24, -88, 75, -62, 151, 88, 1, 30, -5 Also thank you in advance I don't know why I don't get this one so please explain if possible!
Answer:
-88
Step-by-step explanation:
whoever deleted my answer thanks a lot
Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(
Answer:
The least number of steps she takes to reach 20 m is 118 steps
Step-by-step explanation:
For Laura, the length of a walking step = 50 cm = 0.5 m
The repeating number of steps she takes = Two steps forward one step backwards
The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps
Given that she always takes two steps forward and one step backwards, we have;
The number of steps forward every three steps = 2 step forward + (-1) step (backward)
The number of steps forward every three steps = 2 - 1 = 1 step forward
To reach 39 steps forward, she would need 39 × 3 = 117 steps
To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps
Therefore, the least number of steps she takes to reach 20 m = 118 steps.
Me need big brain to answer this question c:
Answer:
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Step-by-step explanation:
Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.
As per the question , we have
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?
Answer:
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Step-by-step explanation:
[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]
Annually= Yearly, A year has 365 days.
They work 40 hours a week, 8*5=40.
There are aprox, 10 holidays in a year. (You can change this in your work)
They have 2 weeks unpaid vacation, 14 days.
There are aprox, 52 weeks in a year. (You can change this in your work)
52 weeks - 2 weeks of unpaid vacation= 50 weeks.
Now Let's calculate the weekly income, for
$8.10*40=$324 per week.
$8.25*40=$330 per week.
$8.45*40=$338 per week.
$8.75*40=$350 per week.
$9.00*40=$360 per week.
$9.25*40=$370 per week.
$10.50*40=$420 per week.
Now Let's calculate the annually income, for each clerk.
324*50=16,200 + 648=16,848
330*50=16,500 + 660=17,160
338*50=16,900 + 676=17,576
350*50=17,500 + 700=18,200
360*50=18,000 + 720=18,720
370*50=18,500 + 740=19,240
420*50=21,000 + 840=21,840
Now the total annual payroll=
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
what is EG and EF ( can you do number 9 too thank you
Answer:
EF = 32 in (Approx)
EG = 16 in (Approx)
Step-by-step explanation:
Given:
Side FG = 28 in
∠ E = 60°
Find:
EG = ?
EF = ?
Computation:
Using trigonometry application.
Sin 60° = FG / EF
√3/2 = 28 / EF
0.866 = 28 / EF
EF = 32.33
EF = 32 in (Approx)
Tan 60° = FG / EG
1.732 = 28 / EG
EG = 16.16
EG = 16 in (Approx)