Answer:
R = 2.6 mm
Step-by-step explanation:
D = C ÷ π
D = 15.9 ÷ 3.14
D = 5.06
D = 5.1 mm
R = D ÷ 2
R = 5.1 ÷ 2
R = 2.55
R = 2.6 mm
Answer:
r = 2.5 mm
Step-by-step explanation:
The circumference of a circle has the following formula.
circumference = 2πr
where
r = radius
π = 3.14
circumference = 15.9 mm
circumference = 2πr
15.9 = 2 × 3.14 × r
15.9 = 6.28 r
divide both sides by 6.28
r = 15.9/6.28
r = 2.53184713376
Rounding to 1 decimal place
r = 2.5 mm
Find the solution for -3x - 5 = 10 “help me please
-3× - 5= 10+5
-3×=15
15÷-3 = -5
x= -5
The price for the jacket is $96. The discount is 31.25%. The sales tax is 9.875%. The expression that represents this situation is Where represents the final price. The first term expresses the initial price. The second term is about the discount which has to be negative. The final term is about the sales tax which must be added to have the total price.
Answer: P = 96 - 30 + 9.48
Step-by-step explanation:
The price of the jacket is $96.
The discount is 31.25% and
The sales tax is 9.875%
To find the price paid, we subtract the discount from the original price and add the sales tax. This will be:
P=96 - (31.25% × 96)+(9.875% × 96)
P = 96 - 0.3125(96) + 0.09875(96)
P = 96 - 30 + 9.48
P = 75.48
Where,
P stands for the final price.
The first term (96) shows the initial price.
The second term (-30) is about the discount which has to be negative.
The final term (+9.48) is about the sales tax which must be added to have the total price.
A die is rolled 260 times. Predict how many times it will show a 3 or a 5.
A. about 43
B. about 65
C. about 87
D. about 130
E. about 173
Answer:
E
Step-by-step explanation:
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is StartFraction 2 over 25 EndFraction. How many blue marbles are in the bag? 2 3 5 6
Answer:
The correct answer is 6.
Step-by-step explanation:
There are "six" blue marbles in the given bag, which is the correct answer would be an option (D).
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth.
The probability of randomly selecting a green marble and then randomly selecting a blue marble is 1/5 x P(blue), where P(blue) is the probability of selecting a blue marble.
As per the question, the probability of this event is 2/25, so we can set up the equation 1/5 x P(blue) = 2/25.
Solving for P(blue), we find that P(blue) = 2/5.
Since the probability of selecting a blue marble is 2/5, and there are 15 marbles in the bag, the number of blue marbles in the bag must be 15 x (2/5) = 6.
Therefore, the number of blue marbles in the bag must be 6.
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At the end of of any beginning year a car is worth 5% less than what it was worth at the beginning of the year. If certain car was worth $10,000 at the beginning of 2014, then its value at the end of 2014 was
Answer:
10,000-500=9,500 is what it is worth
Step-by-step explanation:
What is the value of b?
36
63
40
75
Answer:
[tex] \boxed{b\degree = 36\degree} [/tex]
Step-by-step explanation:
Property used: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
[tex] = > 81 \degree + b \degree = 117 \degree \\ \\ = > b \degree = 117 \degree - 81 \degree \\ \\ = > b \degree = 36 \degree [/tex]
The diameter of a circle measures 28 ft. what is the circumference of the circle? Use 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.
Answer:
87.92 ft
Step-by-step explanation:
The circumference of a circle can be found using the formula: c = 2pi(r) OR c = pi(d).
r stands for the radius, d stands for the diameter. Because you're given the diameter of the circle, you can simply multiply 28 by pi (3.14), and you'll get the circumference!
(6x+4y=43)( 2x-3y=23)
Answer:
(8.5, - 2 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 43 → (1)
2x - 3y = 23 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the term in x
- 6x + 9y = - 69 → (3)
Add (1) and (3) term by term to eliminate x, that is
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in either of the 2 equations and solve for x
Substituting into (1)
6x + 4(- 2) = 43
6x - 8 = 43 ( add 8 to both sides )
6x = 51 ( divide both sides by 6 )
x = 8.5
Solution is (8.5, - 2 )
954 1850 1200 1200 1350 1999 1888
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
Answer:
1,491.6
Step-by-step explanation:
add all numbers:
954 + 1850 + 1200 + 1200 + 1350 + 1999 + 1888 = 10,441
divide sum by the numbers added:
10,441 / 7 = 1,491.6
Troy puts $200.00 into an account to use for school expenses. The account earns 7% interest, compounded annually. How much will be in the account after 5 years? Use the formula A=P1+ r n nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
Answer:
the final amount is = $280.51
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Given that;
Principal P = $200
Interest rate r = 7% = 0.07
Time t = 5 years
Final amount = A
Number of time compounded per year n = 1
Substituting the values;
A = 200(1+0.07/1)^(1×5)
A = 280.51
Therefore, the final amount is = $280.51
I need help ASAP! I don’t understand this so I was hoping anyone would help
The Kelvin scale is an absolute temperature scale that can be used to calculate percent change in temperatures. The formula to convert Celsius to Kelvin is K = C + 273.15. What is the percent change if the temperature rises from 21 c to 29 c? Round to the nearest tenrh
The percentage change in temperature is 19.0%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the temperature rises from 21c to 29c.
The change in temperature is:
29c - 21c
= 4c
The percentage change in temperature from 21c is:
percentage change = (4c/21c)×100
=4/21×100
= 19.0%
Therefore, the percentage change in temperature is 19.0%.
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Will mark as brainliest if correct
Answer:
x = 2
Step-by-step explanation:
9^2 or 9(9) = 81
Rock stars Ewe and Eye were both born on Sunday, January 1. When Ewe turned 13 years old Eye could not have been _____ years old
A) 6
B) 7
C)8
D) 13
√1×2×3×4×5×6×7×8×9×10
A) 30 + √7
B) 30 × √7
C) 720 + √7
D) 720 × √7
Magda wants to compare the population density of the two largest countries in the world. She can use this formula. K=P 2.59 M K = population density (people per km2) P = population (millions) M = land area (million square miles) Canada has a population density of 3.57 people per km2 Russia has • a population of 143.96 million • a land area of 6.593 million square miles. Magda thinks that Russia has a greater population density than Canada. Is Magda correct? Show why you think this.
Answer:
Magda is incorrect
Step-by-step explanation:
Given
Formula:
[tex]K = \frac{P}{2.59M}[/tex]
Population Density of Canada = 3.57 people per km²
Population of Russia = 143.96 million
Land Mass of Russia = 6.593 million square miles
Required
Which country has a greater population density.
First, the population density of Russia needs to be calculated using the given formula;
[tex]K = \frac{P}{2.59M}[/tex]
Here, P = 143.96 million
M = 6.593 million square miles
Substitute these values in the above formula;
[tex]K = \frac{143.96}{2.59 * 6.593}[/tex]
[tex]K = \frac{143.96}{17.07587}[/tex]
[tex]K = 8.43[/tex] people per square miles
Before we can make any comparison, we have to convert the unit of K to people per square kilometre.
From unit of standard conversion;
1 square miles = 2.58999 square kilometre
Hence;
[tex]K = \frac{8.43}{2.58999}[/tex]
[tex]K = 3.25483882177[/tex]
[tex]K = 3.25[/tex] people per km²
Given that the Population Density of Canada = 3.57 people per km²
And We solved for the Population Density of Russia = 3.25 people per km²
By Comparison, the Population Density of Canada is greater than the Population Density of Russia;
Hence, Magda is incorrect
FIND ANSWER A AND B FOR 10 POINTS!!
Answer:
16A. 42 cm
16B. 7 cm
Step-by-step explanation:
Anna sees a thermometer each morning when she walks out of her house to get on the school bus. In the following table, she recorded the outdoor temperature each morning for five days.
Monday -2
Tuesday -3
Wednesday -8
Thursday -5
Friday 0
Based on Anna's data, select the correct statement.
Friday morning had the coldest temperature.
It becomes colder each morning of the week.
It was warmer on Wednesday morning than Tuesday morning.
It was colder on Wednesday morning than Monday morning.
Answer:
It was colder on Wednesday morning than Monday morning.
Step-by-step explanation:
(How I know)
-Friday did not have the coldest temperature because Wednesday did.
-it became warmer after Wednesday
-It was colder on Wednesday morning than on Tuesday morning
--8 degrees is colder than -2 degrees.
It was colder on Wednesday morning than Monday morning. Then the correct option is D.
What is the temperature?The degree of warmness and coldness is determined by the temperature.
Anna sees a thermometer each morning when she walks out of her house to get on the school bus.
In the following table, she recorded the outdoor temperature each morning for five days.
Days Temperature
Monday -2 °C
Tuesday -3 °C
Wednesday -8 °C
Thursday -5 °C
Friday 0 °C
If temperature is negative, then it means more coldness.
It was colder on Wednesday morning than Monday morning.
Then the correct option is D.
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please help with this question !
Answer:
g(-5) = -6
Step-by-step explanation:
g(-5) is the value of the function when x = -5
When x = -5 the function ( or y value) is -6
A laundry basket has 24 T-shirts In it 4 are navy 12 are red and the remaining or white.What is the probability of selecting green shirt?
Answer:
0%
Step-by-step explanation:
There are 4 navy shirts.
There are 12 red shirts.
The rest are white.
That means there isn't any green shirts.
What is the area of the parallelogram?
Answer:
A=112 in. squared
Step-by-step explanation:
A=bxh=14·8=112
Step-by-step explanation: In this problem, we're asked to find the area of the parallelogram shown. Remember that a parallelogram is a quadrilateral with two pairs of parallel sides.
The formula for the area of a parallelogram is bh.
Since the base of the parallelogram is 14 inches and the height of the parallelogram is 8 inches, we can plug this information into the formula
to get (14 in.)(8 in.) which equals 112 in.².
Which equation can be used to solve for x?
Choose from the Equation Bank please
Answer:
X=1/2*24
Step-by-step explanation:
X=1/2*24
X=1/2*24
Trigonometry. This is an Tangent question.
Answer:
The last option/ 30 degrees
Step-by-step explanation:
we use the pythagorean theoeom to say that the triangle is a right triangle. We know which one the right angle is, so the remaining two angles add up to 90 degrees. we eliminate the third option and the first. Then, eliminate the fourth and the second. The answer is either 42 or 30. It cannot be 42 because 42+56+70=168, and 168 is not equal to 180. So, the answer is 30 degrees.
x=30 degrees
Mrs. Lindy is purchasing notebooks for her students. She spends $52 dollar sign, 52 on notebooks. Each notebook costs $3.25 dollar sign, 3, point, 25.
Answer:
16 notebooks
Step-by-step explanation:
I think you are asking how many notebooks she bought? just do 52/3.25=16
Answer:
The answer is 16 notebooks or in this case C
Step-by-step explanation:
Please help!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Given Information:
Principle amount = P = $6,000
Interest rate = r = 4% = 0.04
Period in years = t = 5
Required Information:
How much interest will he earn in 5 years = ?
Answer:
Amount of interest = $1,299.92
Step-by-step explanation:
Using the formula given in the question,
[tex]B = P(1 + r )^{t}[/tex]
Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years
[tex]B = P(1 + r )^{t}\\\\B = 6,000(1 + 0.04)^{5}\\\\B = 7,299.92[/tex]
The amount of interest earned is
[tex]Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92[/tex]
Therefore, Quincy has earned $1,299.92 in terms of interest by investing $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.
Matthew is training to participate in a half marathon. Each week, Matthew increases the number of miles he runs in the previous week by the same percent. The table below shows the number of miles he runs in weeks 1 and 2.
Week Number of Miles Run
1 12.5
2 15.5
Complete the sentence. Do not round your answer.
Matthew runs ____ miles in week 3.
Answer:14.58 miles.
Step-by-step explanation:
Matthew is training to participate in a half marathon.
The distance covered by Matthew on the first day is 12.5 miles.
The distance covered by Matthew on the second day is 13.5 miles.
The distance increased on the second day is, 13.5-12.5=1 mile.
The percentage will be,
=\dfrac{1}{12.5}\times 100\%
=0.08\times 100\%
=8\%
Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,
=13.5+\left(13.5\times \dfrac{8}{100}\right)
=13.5+1.08
=14.58 miles
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Step-by-step explanation:
Answer:
Basic consensus is that that other answer is wrong. The actual answer is 19.22
Step-by-step explanation:
To find the common ratio you just do this, last number = 15.5, and first number = 12.5.
15.5/12.5 equals 1.24.
^That's the common ratio.^
using A(n) = a * r ^ n - 1,
you get 12.5 * 1.24 ^ 3 - 1, or just 12.5 * 1.24 ^ 2
and solving that problem, you get 19.22.
Confirm this by doing the same thing earlier, 19.22/15.5 is 1.24. Which is the ratio found earlier. So it checks out.
Two spheres have radii 6 and 15. Find the ratios of the areas and the volumes.
Answer:
1st sphere has r1 = 6
=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 6^2 = 144pi
=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 6^3 =288pi
2nd sphere has r1 = 15
=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 15^2 = 900pi
=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 15^3 =4500pi
=> S1/S2 = 144pi/900pi = 0.16
=> V1/V2 = 288pi/4500pi = 0.064
Hope this helps!
:)
A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the heights of a tringular bad is 6 inches what is the base length of the triangular base?
Answer:
9
Step-by-step explanation:
9X6
=54
63-54
=9
What value in place of the question mark makes the polynomial below a
perfect square trinomial?
X2 + + 12x + ?
Answer:
36
Step-by-step explanation:
Given
x² + 12x
To make the polynomial a perfect square
add ( half the coefficient of the x- term)²
= x² + 12x + 6²
= x² + 12x + 36
= (x + 6)² ← a perfect square
what's the area of a right angle triangle by 3cm 4cm 5cm?
Answer:
12cm
Step-by-step explanation:
A company is expanding its building area from 16,500 square feet to 20,460 square feet. What is the percentage increase of the area of the building space?
Answer: 24%
Step-by-step explanation:
A company is expanding its building area from 16,500 square feet to 20,460 square feet. To calculate the percentage increase in the area of the building space, we first find the difference. This will be:
20,460 - 16,500 = 3960
We then divide the difference by the former building area and then multiply by 100. This will be:
3960/16500 × 100
= 0.24 × 100
= 24%
The percentage increase of the area of the building space is 24%.