Answer:
[tex]\boxed{\textsf{ The number of children is \textbf{24150}.}}[/tex]
Step-by-step explanation:
Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,
[tex]\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% . [/tex]
So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .
So let us take the total number of people be x . So ,
[tex]\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}[/tex]
[tex]\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}[/tex]
[tex]\rule{200}2[/tex]
The percentage of children = 15% :-
[tex]\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}[/tex]
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k = [tex]\frac{2}{3}[/tex]
(x, y) → [tex](\frac{2}{3}x, \frac{2}{3}y)[/tex]
By this rule coordinates of the image points of A and B will be,
A(8, 6) → [tex]A'(\frac{2\times 8}{3},\frac{2\times 6}{3})[/tex]
→ A'(5.3, 4)
B(12, 12) → [tex]B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})[/tex]
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of [tex]\frac{2}{3}[/tex].
What is the slope of the line? y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac15 5 1 start fraction, 1, divided by, 5, end fraction (Choice B) B -\dfrac45− 5 4 minus, start fraction, 4, divided by, 5, end fraction (Choice C) C 111 (Choice D) D 55
Answer: A
Step-by-step explanation:
Answer:5
Step-by-step explanation:I got it wrong and decided to give you guys the right answer.
Linda has a watering can with a capity of 3 liters. Each day, her plants need 6,000 milliliters of water. How many times does Linda have to fill her watering can to water all of her plants daily?
Answer:
2 times each day
1 liter is 1000 milliliters
the watering can has a capacity of 3 liters which is 3000 milliliters
her plants need 6,000 milliliters of water each day which means that she will need to fill her watering can twice a day.
I can do the previous part but I don't know what to do here
Answer:
25°; 115°.
Step-by-step explanation:
all the details are in the attached picture, the answers is marked with red colour.
is 63 the soloution to p/9 = 7
Answer:
yes it is
Step-by-step explanation:
Yes the solution to p/9 = 7 is 63.
1 box contains 23 crayons, then 69 crayons can fit in ______ boxes
Answer:
3 boxes?
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1:23 :: x :69 (x = 69/ 23 )
1:23::2:69
the Rangers played 40 games. They won 18 more games then they lost. How many games did they win?
9514 1404 393
Answer:
29
Step-by-step explanation:
Let w represent the number of wins. Then the number of losses is w-18. The total number of games played is ...
wins + losses = 40
w + (w-18) = 40
2w = 58
w = 29
The Rangers won 29 games.
x + 14 = 113 x=______ solve the question
Answer:
x=99
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow: Month Machine Hours Electricity Costs January 2,000 $ 18,950 February 2,400 $ 22,100 March 1,400 $ 14,050 April 2,600 $ 24,100 May 3,300 $ 28,800 June 2,800 $ 23,100 July 3,600 $ 25,300 August 3,000 $ 23,300 September 1,500 $ 16,600 October 3,200 $ 27,100 November 4,200 $ 32,100 December 3,700 $ 28,300 Summary Output Regression Statistics Multiple R 0.960 R Square 0.921 Adjusted R2 0.913 Standard Error 1,545.17 Observations 12.00 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 7,465.99 1,566.61 4.77 0.00 3,975.37 10,956.62 Machine Hours 5.76 0.53 10.78 0.00 4.57 6.95 If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is: (Round intermediate calculations to 2 decimal places.)
Answer:
If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
Step-by-step explanation:
Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:
Month Machine Hours Electricity Costs
January 2,000 $18,950
February 2,400 $22,100
March 1,400 $14,050
April 2,600 $24,100
May 3,300 $28,800
June 2,800 $23,100
July 3,600 $25,300
August 3,000 $23,300
September 1,500 $16,600
October 3,200 $27,100
November 4,200 $32,100
December 3,700 $28,300
The explanation of the answer is now provided as follows:
Step 1: Calculation of variable cost per hour
From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:
Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857
Rounding to 2 decimal places as required, we have:
Variable cost per hour = $6.45
Therefore, the variable-cost components using the high-low method is $6.45.
Step 2: Calculation of total fixed cost
The formula for calculating the total cost is given as follows:
Total cost = Total Fixed Cost + Total Variable Cost ................. (1)
Where;
Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs
Using highest levels of activity and substitute into equation (1), we have:
$32,100 = Total Fixed Cost + ($6.45 * 4,200)
Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010
Therefore, the fixed-cost components using the high-low method is $5,010.
Step 3: Derivation of the cost equation for electricity costs
The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:
Total Fixed Cost = $5,010
Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours
Substituting the values into equation (1), we have:
Total cost = $5,010 + ($6.45 * Machine hours)
Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)
t or f i need help with this
Answer:
false 5 is an odd
Answer:
Step-by-step explanation:
false
NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.7 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less
Answer:
0.020
Step-by-step explanation:
Given that,
μ = 17,
σ = 0.7,
x¯ = 16.7 hours
n(number of batteries) = 30
To find,
The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf
∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])
The probability of getting a random sample of 30 batteries = 0.020
Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.
The distance between the two points is____
Answer:
7 units
Step-by-step explanation:
[tex](4+\sqrt{-7}) (3+\sqrt{-7})[/tex]
This is geometry please help 30 points!
Answer:
sin; 7.7
Step-by-step explanation:
✔️Reference angle = 50°
Length of side opposite to reference angle = b
Hypotenuse = 10
✅The trigonometric function to use is sin
✔️To find b (opp), we would use:
Sin 50 = opp/hyp
Sin 50 = b/10
10 × sin 50 = b
b = 7.66044443 ≈ 7.7 (nearest tenth)
2.
Find the products using
a. (5x - 2)(5x + 2)
3t + 7 = 2 +5t , then find the value of t.
Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
[Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t[Subtraction Property of Equality] Isolate t term: 5 = 2t[Division Property of Equality] Isolate t: 5/2 = tRewrite: t = 5/2Answer:
t = ⁵⁄₂ or 2.5Explanation:
3t + 7 = 2 + 5t
Simplify both sides of the equation3t + 7 = 5t + 2
Subtract 5t from both sides3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
Subtract 7 from both sides−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
Simplifyt = ⁵⁄₂
Turn the fraction into a decimalt = 2.5
t = ⁵⁄₂ or 2.5
1 of 12
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 ml water
?g salt
?g yeast
?mL oil
?mL water
Answer:
8
Step-by-step explanation:
Rhombus
b= 14 in.
h=9 in.
Paralelogram
b= 12ft
h= 8.5ft
A rhombus has an area of 375 mm2 and a base of 25 mm. What is its height?
Answer:
Step-by-step explanation:
The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
Rhombus A:
Area = 35 square inches
base = 7 inches
height = 5 inches
Rhombus B:
Area = 315 square inches
base = 21 inches (7 x 3)
height = 15 inches (5 x 3)
A = 21 x 15
so, we get,
The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
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complete question:
Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain
Factor Completely;;;;;
Answer:
2x²-24x+54
2(x²-12x+27)
2(x²-9x-3x+27)
2(x(x-9)-3(x-9))
2(x-9)(x-3)
remi and vishal start at the same point and begin jogging in different directions. remi is jogging east at a speed of 4 miles per hour. vishal is jogging South at a speed of 2 miles per hour. after how many hours will they be exactly 12 miles apart
Answer:
2.68 hours
Step-by-step explanation:
Vonna scored 72 goals at soccer practice. Her ratio of goals to misses was 8 to 7. How many times did she miss?
Coordinate double equation
Answer:
????
Step-by-step explanation:
Factor completely::::
Which of the following are exterior angles? Check all that apply
Answer: D, C, A
Step-by-step explanation:
An exterior angle is an angle that is supplementary to an interior angle.
The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.
What is the Exterior angle?Exterior angles become by a side of that figure and its extended adjacent side.
The exterior angle has been attached.
Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.
Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.
For more information about Exterior angle
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Find the sum and express it in simplest form.
(-2y3 + 2y2 - 9) + (-4y3 + 5y2 + 7)
Answer:
-6y^3+7y^2-2
Step-by-step explanation:
(-2y^3+2y^2-9)+(-4y^3+5y^2+7)
-2y^3-4y^3+2y^2+5y^2-9+7
-6y^3+7y^2-2
Find the product: 4 2/5 x 5 1/2 =
Answer:
4 2/5 x 5 1/2 = 24.2
Step-by-step explanation:
PLZZ MARK BRAINLIEST!!!
Find the missing angle measure(s).
Yº
Z
X
43°
W
Answer:
90°grados es la respuesta
Please help this is due in 20 mins, I will give brainliest
Answer:
L = 5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]
Answer:
by Pythagoras law
(10√3)²=l²+(5√2)²
100×3-25×2=l²
l²=25o
l=√250=5√10
:.l=5√10
5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters