Answer:
77.00
Step-by-step explanation: just round and subtract
The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77
What is consumer price index?The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.
[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base periodThen, we have:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]
For this case, we're given that:
[tex]CPI_t[/tex] = 186[tex]C_t[/tex] = To find[tex]C_0[/tex] = $41.40Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]
Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77
Learn more about consumer price index here:
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What's the answer?? I really need help
Answer:
100in^3
Step-by-step explanation:
1. Split the shape into 2 separate rectangles.
2. Use the volume of a rectangle formula for each and add together (look at picture above).
I hop this helps! Have a blessed rest of the night!
A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their originally.
Answer:
10779
i think some error in this question
A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?
= 65% x 120 = 78 pounds of iron
Answer:
78
Step-by-step explanation:
65% of 120 = 78
Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function
Answer:
Domain: -5, -2, 1, 5
Range: 10, 11, 4, 10
To get the function, you need to create an equation.
Step-by-step explanation:
For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.
Simplify: 5x3+3x2−(−x−6x2)+4x−x2
Answer: 33 plus 3x
Step-by-step explanation: simplified it
Answer:
The answer is 5x3+8x2+5x
Step-by-step explanation:
Need help. can anyone please give an explanation along with the answer?
Answer:
what's the question
Step-by-step explanation:
Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6
Answer:
not a solution
Step-by-step explanation:
substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.
2(2) - 4(- 1) = 4 + 4 = 8 ← true
- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1
then (2, - 1 ) is not a solution of the system
The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year
Answer:
16,688 people lived in that town in 2016.
Step-by-step explanation:
10,811 + 7.5% = 11,621.8 = 11,622 (2011)
11,622 + 7.5% = 12,493.6 = 12,494 (2012)
12,494 + 7.5% = 13,431.05 = 13,432 (2013)
13,432 + 7.5% = 14,439.4 = 14,440 (2014)
14,440 + 7.5% = 15,523 (2015)
15,523 + 7.5% = 16,687.225 = 16,688 (2016)
A and b are supplementary angles. angle a measures 67° what is the measure of angle b
Answer:
113°
Step-by-step explanation:
because supplementary angles add up to 180°
thus if a is 67° then we subtract 67° from 180° and b will be 113°
Victor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest
Answer:
185,500 -.15(185,500)=157,675
Yes he can afford it, it doesn't go over his income and it's %27 below.
Select the correct answer from each drop-down menu. jordan is tracking a recent online purchase. the shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. the width of the box is seven inches less than the height. the volume of a rectangular prism is found using the formula v = lwh, where l is the length, w is the width, and h is the height. complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = is it possible for the height of the box to be 15 inches?
Answer:
A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,
2880 = 24(x)(x - 7)
Simplifying,
2880 = 24x² - 168x
B. The value of x from the equation is 15. Thus, the answer is YES.
Step-by-step explanation:
a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
What is volume?Volume is the three-dimensional space bounded by a boundary or inhabited by an item.
The given data in the problem is;
L is the length of the box= 24-inch
V is the volume = 2,880 cubic inches.W
W is the width of the box
h is the height
Let the side of the box is x then volume V is found as;
V=LWh
2880 = 24(x)(x - 7)
2880 = 24x² - 168x
Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
The value of x obtained from the equation is 15.
Hence yes, it is possible for the height of the box to be 15 inches
To learn more about the volume refer to the link;
https://brainly.com/question/1578538
154-54(79-1554)+12x24
Answer:
80092
Step-by-step explanation:
Answer:
80092.Step-by-step explanation:
Given equation:
154 - 54 * (79 - 1554) + 12 * 24Step-By-Step:
Step 1
Subtract the numbers:
154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24Step 2
Multiply the numbers:
154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288Step 3
Add the numbers:
154 + 79650 + 288= 80092.Answer is 80092.
A circular plot of land has a diameter of 16 yards. what is the area of the
land? use 3.14 for t.
Here's the solution :
radius = 8 yards ( half the diameter )
now, we know,
[tex]area=[/tex] [tex]\pi r^2[/tex]
let's solve,
[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex][tex]200.96[/tex] [tex]yd^{2}[/tex]so, correct answer is [tex]200.96[/tex] [tex]yd^2[/tex]
Solve the equation and enter the value of x below.
-3x-9=-27
x=
Answer:
6
Step-by-step explanation:
-3x=-27+9
-3x=-18
x=-18/-3
x=6
Answer:
[tex]\displaystyle 6 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle -3x - 9 = -27 \hookrightarrow \frac{-3x}{-3} = \frac{-18}{-3} \\ \\ x = 6[/tex]
I am joyous to assist you at any time.
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
1
4
in
112 in
1
in
12
NA
1
1
in
.
inches
Answer:
7 1/3 inches
Step-by-step explanation:
2 (1 3/4 + 1 11/12)
9+11
3/4+11/12= -------------
12
20/12
=1 2/3+ 2
2(3 2/3)
= 7 1/3
Answer these questions
Answer:
62
8.8
2.7
Step-by-step explanation:
that should be right. try that out
Answer:
62,8.8,2.8
Step-by-step explanation:
What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)
Answer:
Proportional
Step-by-step explanation:
[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1
5 x 2 = 10
12 x 2=24
The ratios are proportional.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
The given ratios are proportional
Step-by-step explanation:
To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
When using cross multiplication, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
When simplified, we get;
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
[tex]\implies 120 = 120 \ \checkmark[/tex]
Therefore, the relationship is proportional.
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
Help as soon as possible thanks
A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?
h = time spent running, in hours
d = distance run in miles
32h = d
32d = h
h = 32 + d
h = 32 – d
Answer:
32h=d
Step-by-step explanation:
yea, this is big brain time lol
also edge lol
(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4
Answer:
D
Step-by-step explanation:
Given expression :
[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]Solving :
A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]Answer:
D [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]
Apply the Radical Product Rule [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :
[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]
Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :
[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]
Simplify:
[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
How can we write the domain and range for a function that is not piece-wise such as y=x?
Answer:
(−∞,∞)
Step-by-step explanation:
For every x value there is, there is an equivalent y value, thus there are infinite x and y values that satisfy this equation.
Hope this helps!!!
Simplify the equation
X^2 +x
x^2 + x
---Both of these terms both contain an x, which means we can factor out one x.
x(x + 1)
Simplified: x(x + 1)
Hope this helps!
Thank you please help if you can
Answer:
The answer is -
15.5^2 Mi
Give brainliest if it helps you
Determine whether the following sequence is geometric. If so, find the common ratio,
1.-3.9. - 27,...
Answer:
Yes, the sequence is geometric
common ratio (r) = -3
Step-by-step explanation:
Given:
[tex]a_1=1[/tex][tex]a_2=-3[/tex][tex]a_3=9[/tex][tex]a_4=-27[/tex]If a sequence is geometric, common ratio [tex]r[/tex]:
[tex]r=\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}[/tex]
Substituting the given values:
[tex]\implies \dfrac{a_4}{a_3}=\dfrac{-27}{9}=-3[/tex]
[tex]\implies \dfrac{a_3}{a_2}=\dfrac{9}{-3}=-3[/tex]
[tex]\implies \dfrac{a_2}{a_1}=\dfrac{-3}{1}=-3[/tex]
Therefore, as
[tex]\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}=-3[/tex]
the sequence is geometric with common ratio of -3
Luke bought a video game system that costs $99.95 and games that cost $19.99 each. Bella bought a game system that costs $125.79 and games that cost $15.99 each. Luke spent no more than what Bella spent.
Which inequality represents this situation?
99.95 + 19.99x < 125.79 + 15.99x
99.95 + 19.99x < 125.79 + 15.99x
99.95 + 19.99x > 125.79 + 15.99x
99.95 + 19.99x > 125.79 + 15.99x
Answer:
a
Step-by-step explanation:
because < means bigger and 125 is bigger than 99
Answer:
99.95 + 19.99x ≤ 125.79 + 15.99y
Step-by-step explanation:
Given:
Luke bought a video game system that costs $99.95 and games that cost $19.99 each.
Bella bought a game system that costs $125.79 and games that cost $15.99 each.
Luke spent no more than what Bella spent.
To Find:
Which inequality represents this situation?
Solve:
Let Luke bought = x.
Let Bella bought = y.
How much Luke paid = $99.95 + $19.99 × x = $99.95 + $19.99x
How much Bella paid = $125.79 + $15.99 × y = $125.79 + $15.99y
Luke paid is equal or lesser than how much Bella paid, then
99.95 + 19.99x ≤ 125.79 + 15.99y
~lenvy~
I neeed helpppppppppppppppppppp
Answer:
1: 1; 3: 4; 5: 3
Step-by-step explanation:
when you have a negative exponent it basically is the regular exponent but the number is put over one
so 2^-2 is 1/2^2 which is 1/4
1/4 * 4 is 1
then for three
you have
(1/2)^-1
when the number is a fraction and you have a negative exponent you can put the number on the top
so this is 2
2 * 2 is 4
for the last one
anything times 0 is 1
this means that the answer is 3
Answer:
1. 1
3. 4
5. 3
Step-by-step explanation:
3.y= 2 (1/2)^x where x= -2
1/2=2^-1
(2^-1)^-1
-1×-1
=1
=2^1
2 (2)
=4
1. y=4 (2)^x
2^-2
1/2^2
=1/4
=4×1/4
=1
5.y=3 (1/3)^X
1/3=3^-1
(3^-1)^0
3^0
=1
3(1)
=3
Subtract 17a²b from 2a²b
Answer:
-[tex]15 {a}^{2}b[/tex]
-4x - 8 = -(5x + 3) pleasee
hopefully it's correct!!
Answer:
x = 5
Step-by-step explanation:
-(5x + 3) --> -5x - 3
-4x - 8 = -5x - 3
-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)
-4x = -5x + 5
-4x + 5x = -5x + 5 + 5x (add 5 to both sides)
x = 5
the standard form of a linear equation is the form ______________
Answer:
Ax+By=C
Step-by-step explanation:
:)