Answer:
1/5 mile
Step-by-step explanation:
1/10 mile in 1/2 second
This can be written as a ratio:
1/10 mile : 1/2 second
We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.
2 × 1/10 mile : 2 × 1/2 second =
= 2/10 mile : 1 second
= 1/5 mile : 1 second
Answer: 1/5 mile
ƒ(x) = −3x² + 3x
Find f (8)
Answer:
-168
Step-by-step explanation:
-3(8)^2+(3)(8)
(-3)(64)+(24)
-192+24
-168
Graph the following figure in the coordinate plane. Find the perimeter. X(0,1), Y(4, -2), Z(-5, -2)
The perimeter of the figure is 8 + √14 units
How to graph the figure in the coordinate plane and find the perimeter?The coordinates are given as
X(0,1), Y(4, -2), Z(-5, -2)
Next, we plot the above coordinates on a coordinate plane
See attachment for the plot of the coordinates on a coordinate plane
Next, we calculate the distance between the points using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
XY = √(0 - 4)^2 + (1 + 2)^2 = 5
XZ = √(0 + 5)^2 + (1 + 2)^2 = √14
YZ = √(4 + 5)^2 + (-2 + 2)^2 = 3
The perimeter is calculated as
P = XY + XZ + YZ
So, we have
P = 5 + √14 + 3
Evaluate
P = 8 + √14
Hence, the perimeter of the figure is 8 + √14 units
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You can buy 5 t-shirts at Baxters for the same price that you can buy 4 t-shirts at bixbys. If one t-shirt costs $11.80 at bixbys, how much does one t-shirt cost at baxters?
Answer:
4
shirts at Bixby's costing
$
11.50
would cost
XXX
4
×
$
11.50
=
$
46
If
5
shirts at Baxter's cost the same as
4
shirts at Bixby's,
5
shirts at Baxter's would cost
$
46
and
1
shirt at Baxter's would cost
$
46
5
=
$
9.20
A bank charged $10 to open an account. Shelly opened an account then deposited
$125 into the account. She then wrote checks for $15 and $35, made a deposit of
$50, then got $40 quick cash from an ATM which charged her a fee of $2.50. What is
her balance?
Answer:
$72.50
Step-by-step explanation:
-$10
+$125
-$50
+$50
-$42.50
what is the net decimal equivalent if all discounts were applied in the series?
40% 15% 30%
The net decimal equivalent of the series 40/15/30 is 0.357;
Here we assume let X be retail price.
So,
X - 0.40 × X = Y ⇒ first discounted price.
Y - 0.15 × Y = Z ⇒ second discounted price.
Z - 0.30 × Z = T ⇒ total discounted price.
Now
X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y
Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z
Z - 0.30 × Z = (1 - 0.30) × Z = 0.70 × Z = T
Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y
And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X
So,
= 0.70 × 0.85 × 0.60 × X
= 0.357X;
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Suppose you just won the state lottery, and you have a choice between receiving $4,500,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes
A 1.03% rate of return is built into the annuity.
First optionTo receive a single payment today of $4,500,000Second optionTo receive an annual payment of $250,000.Term is equal to 20 years.Let the rate of return be x%.A series of payments paid at regular intervals is known as an annuity. Regular savings account deposits, mortgage payments, insurance premiums, and pension payments are all examples of annuities. The periodicity of payment dates allows for the classification of annuities.At this rate, the present value of the annuity is $4,500,000.The present value of the first option equals the present value of the second option. $4,500,000 = $250,000[1/x + 1/x² + … + 1/x^20]Upon solving, we get approximately x is 1.03%.To learn more about annuity, visit :
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a 3 gallon bottle of bleach costs 15.84. what is the price per cup
Answer: $0.33 per cup
15.84/3 to find the price per 1 gallon.
15.84/3 = 5.28 per gallon
There are 16 cups in a gallon, so divide the price of a single gallon by 16.
5.28/16 = price per cup
5.28/16 = .33
The price for each cup of bleach is $0.33.
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Divide:
35x³-25x4y³/5x²y²
Answer:
35x³-25x4y³/5x²y² = −5x6y5+35x3
Simplify the expression using order of operations. 14+18÷2×4−7
Answer:
Hi
Your answer is 43.
Solve(Using PEMDAS order of operations):
[tex]18\div \:2\times \:4\\18\div \:2=9\\=9\times \:4\\=36\\=14+36-7\\14+36=50\\=50-7\\=43[/tex]
Given the function that g(x) = 2x² − 5x + 1, find each of the following.
-
a) g(0)
b) g(-2)
c) g(4)
d) g(-x)
e) g(1 – t)
Step-by-step explanation:
g(x) = 2x² − 5x + 1
a) g(0)
g(0)=2[tex](0)^{2}[/tex]-5(0)+1
=1
b) g(-2)
g(2)=2[tex](-2)^{2}[/tex]-5(-2)+1
=8+10+1
=19
c) g(4)
g(4)=2[tex](4)^{2}[/tex]-5(4)+1
=32-20+1
=11
d) g(-x)
g(x) = 2x² − 5x + 1
g(-x)=2[tex](-x)^{2}[/tex]-5(-x)+1
=2[tex]x^{2}[/tex]+5x+1
e) g(1 – t)
g(x) = 2x² − 5x + 1
g(1-t)=2[tex](1-t)^{2}[/tex]-5(1-t)+1
=2[tex]t^{2}[/tex]+t-2
Whats 150 x 2 divided by 2?
Answer:
150 ?
Step-by-step explanation:
150*2 = 300 / 2 = 150
Answer:
the answer is 150
Step-by-step explanation:
150×2÷2
150×1
150
what is the answer for this question using long divison with decimal remainders
4÷717
Answer:
179 R1
Step-by-step explanation:
7x + 3x + x⁴ divided by x-2
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
Which value c makes the expression x2 + 2x + c a perfect square trinomial?
The value of the c is 1 which makes the perfect square trinomial.
According to the statement
We have to find that the value of the c.
So, For this purpose, we know that the
An expression obtained from the square of the binomial equation is a perfect square trinomial.
From the given information:
The Given statement is:
x² - 2x + c
is a perfect square of the form
(x - a)² = x² - 2ax + a²
Now,compare with x² - 2x + c, then
- 2a = - 2 ⇒ a = 1,
thus
a² = 1² = 1 = c
(x - 1)² = x² - 2x + 1 ← perfect square trinomial
It means the value of c is 1.
So, The value of the c is 1 which makes the perfect square trinomial.
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I just need that one answer please
Answer:50.5
Step-by-step explanation:
because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.
what is the area of the rectangle?
Width;
4x-1 ,
Top length;
2x+17
Bottom Length;
6x+9 .
Please help
==============================================================
Explanation:
Recall that the opposite sides of any rectangle are the same length.
This means the top and bottom sides are the same length
top = bottom
2x+17 = 6x+9
2x-6x = 9-17
-4x = -8
x = -8/(-4)
x = 2
Then we can find each side:
width = 4x-1 = 4*2-1 = 8-1 = 7top = 2x+17 = 2*2+17 = 4+17 = 21bottom = 6x+9 = 6*2+9 = 12+9 = 21We get the same length for top and bottom (21), which confirms the correct x value.
This is a 7 by 21 rectangle with area = length*width = 7*21 = 147 square units.
evaluate the expression 3 to the third power multiplied by 12-2 divided by 2 iready
5.
Audrey gives each of her 6 closest friends a $20 gift card to their favorite store alono
with a small amount of cash during the holiday season. She spends the same amount of
money on each of her friends. If she spends $360 each year on holiday gifts for her
6 closest friends, how much cash does she give each friend?
1.
Define the variable.
3. Solve the equation.
Date
Period,
2. Write an equation that can be used to answer the question.
Explain the meaning of the solution.
Does the solution make sense for the problem? Why or why not?
Answer:
She gives 40 dollars to each friend.
The variable that you are trying to find is the amount of cash she gives to each friend. In the below equation, I call it x.
The equation is x = (360/6) - 20.
Step-by-step explanation:
1. Let the variable be x be the amount of cash Audrey gives to each friend.
2. The equation is 6x + 20 = 360.
3. The solutions is x = 57.
4. Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.
5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
The solution should be rounded to the nearest dollar, making it $57 per friend.
We have,
1.
Let's define the variable "x" as the amount of cash Audrey gives to each of her 6 closest friends.
2.
Since Audrey spends the same amount of money on each friend, the equation can be written as:
6x + 20 = 360
3.
Solve the equation:
Subtract 20 from both sides to isolate the term with "x":
6x = 360 - 20
6x = 340
Now, divide both sides by 6 to solve for "x":
x = 340 / 6
x = 56.67 (rounded to two decimal places)
4.
The solution, x = 56.67, means that Audrey gives each of her 6 closest friends approximately $56.67 in cash along with a $20 gift card to their favorite store during the holiday season.
5.
The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
In real-life situations, the cash given should be a whole dollar amount, not a fractional value like 56.67.
Therefore, the solution should be rounded to the nearest dollar, making it $57 per friend.
Thus,
1. Let the variable be x be the amount of cash Audrey gives to each friend.
2. The equation is 6x + 20 = 360.
3. The solutions is x = 57.
4. Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.
5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
The solution should be rounded to the nearest dollar, making it $57 per friend.
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find the distance between the two points in simplest radical form. (8,-1) and (2,-9)
What are Conic Sections and how are they formed?
Answer:
In mathematics, a conic section is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.
Conic sections are formed on a plane when that plane slices through the edge of one or both of a pair of right circular cones stacked tip to tip.
what is the HCF of 225 495 and 810
Step-by-step explanation:
Factor of 225
= 3 × 3 × 5 × 5
Factor of 495
= 3 × 3 × 5 × 11
Factor of 810
= 3 × 3 × 3 × 3 × 2 × 5
Now ,
HCF = Common Factor
= 3 × 3 × 5
= 45
[tex]...[/tex]
☘️☘️☘️...
Fill in all missing terms and select all missing descriptions.
Answer:
Add all like terms
12s = 0
s = 0
Step-by-step explanation:
8s + 6 + 4s = 6
12s + 6 = 6
-6 -6
12s = 0
÷12 ÷12
s = 0
I hope this helps!
ming
What is the value of the expression (54+3³) ?
33
Answer:
Submit Answer
OL
C
Simplify 7+5c+4d-8c+d
Step-by-step explanation:
if there is no typo the expression is :
7 + 5c + 4d - 8c + d
to simplify combine all terms with the same variable and exponent of that variable.
so, this is
7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d
Answer:
-3c+5d+7
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]
2.368
Given expression is
90 ÷ [ 10 + ( 3 2 − 4 ) ]
According to BODMAS rule we simplify this expression
The order of operations consist of evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction.
90 ÷ [ 10 + ( 3 2 − 4 ) ]= 90 ÷ [ 10 + 28 ]
= 90 ÷ [ 38]
= 90 ÷38
= 2.368
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Karen spent $7.80 on a pair of stockings. She spent 3/8
on a skirt and a blouse; after which, half of her money was left. The skirt cost 8 times as much as the blouse. How much did she spend on the skirt?
Step-by-step explanation:
First 7.50 - 3/8 = 7.125
Next 7.125 times 8
Is 57
Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer:
11 and 22
Step-by-step explanation:
We can say that BC=2AC.
Since AB=33, AC=11 and BC=22.
I dont understand the problem i think it's 4.5 but i dont know
Answer:
probably 4.5
"Step-by-step explanation:
To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve
2.5 + 1.75 + (-3.3) + (-1.4) + x = 0
This gives us x = 0.45 in thousands.
Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even."
a survey of 800 households revealed that 400 had only a TV, 100 had only a computer, and 100 had neither a tv nor a computer. how many households have both a tv and a computer?
The number of households which have both TV and computers are 200.
What is defined as the Boolean algebra (logical expressions)?Boolean algebra is a branch of algebra in math and mathematical logic where the value of the variables are indeed the truth values both true and false, typically represented 1 and 0, respectively.Synonyms, such as 'Yes' for 'True' as well as 'No' for 'False,' are sometimes used to represent the statement.Let A be the number of house hold having only TV = 400
Let B be the number of house hold having only computers = 100
Let C be the number of house hold having neither TV nor computer = 100
Let D be the number of house hold having both TV and computer.
Then, the number number of house holds are 800.
A + B + C + D = 800
Put the values;
400 + 100 + 100 + D = 800
D = 800 - 600
D = 200
Therefore, the number of households having both TV and computer are 200.
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Which author would agree with the opinions below?
Answer:
athour of text 2 for the first Q
athour of text 1 for the second Q
athour of text 2 for the third Q