Khalid is 56 years old. Cathleen is 6 years older than Brody. The sum of Cathleen's and Brody's ages is half Khalid's age. How old is Cathleen?
Answer:20
take 56 divide by 2 and add 6 to the out-com
Bill Ding plans to build a new hardware store. He buys a rectangular lot that is 50 ft by 200 ft, the 50-ft dimension being along the street. The store is to have 4000 ft2 of floor space. Construction costs $100 per linear foot for the part of the store along the street and only $80 per linear foot for the parts along the sides and back. To what dimensions should Bill build the store to minimize construction costs
Answer:
Length a = 59.62
Width b = 67.09
Cost = $10,734.4
Step-by-step explanation:
Solution:
Let a be the length and b be the width.
Area of the rectangle = a x b
a x b = 4000
Cost of the construction:
Cost = 100a + 80(a + 2b)
Cost = 100a + 80a + 160b
Cost = 180a + 160b Equation of the Cost of the construction.
Now, we need a and b to calculate the minimum cost required to build a lot.
From the area = a x b
we have,
a x b = 4000
b = 4000/a
Putting this equation into the cost of the construction.
We get:
Cost = 180a + 160 x (4000/a)
Cost = 180a + 640000/a
Differentiating with respect to a, we get
[tex]C^{'}[/tex] = 180 - 640000/[tex]a^{2}[/tex]
Putting [tex]C^{'}[/tex] = 0
180 - 640000/[tex]a^{2}[/tex] = 0
Taking LCM
180[tex]a^{2}[/tex] - 640000 = 0
Solving for a
180[tex]a^{2}[/tex] = 640000
[tex]a^{2}[/tex] = 640000/180
[tex]a^{2}[/tex] = 3555.55
Taking square root
a = 59.62
As we know,
b = 4000/a
putting the minimum value of a = 59.62
b = 4000/59.62
b = 67.09
So, now we have both the dimensions a and b
Putting the values of a and b we will get the cost of the construction.
Cost = 180a + 160b
Cost = 180(59.62) + 160(67.09)
Cost = $10,734.4
Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.
what is the volume of a object whose disney is 10.5 gml and has a mass of 100 gr
Answer:
V = 9.52381 L
Explanation:
V= mass/density
V=100/10.5
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
Is 0.03<0.1 correct?
Answer:
yes
Step-by-step explanation:
This is correct because 0.1 or 0.10 is greater than 0.03
How do the ideas in the sidebar differ from the rest of the article, and how are they related to its overall ideas?
Answer:
What Is a Sidebar? A sidebar is a block of supplemental text that appears next to a main article in a magazine, newspaper, or website. It relates to, expands, and adds value to the article it accompanies
First, a sidebar can be used to encourage the reader to read the more detailed main article. For example, a sidebar can be made that lists the major points of the main article or asks questions about information that will be given in the main article as a way to entice readers to read the entire main article.
-4/9 (27-18)? i need some clarification and help on this question please
Answer:
-4
Step-by-step explanation:
-4/9 (27-18) =
Do the parentheses first.
= -4/9 (9)
= -36/9
= -4
24.5 x 24.5 x 3.14
plssss answer this with explanation!!!
100% will mark as brainlist!!!!!
Answer:
1884.785
Step-by-step explanation:
24.5 × 24.5=600.25
600.25 × 3.14=1884.785
Answer:
1884,785
Step-by-step explanation:
[tex]24.5 \times 24.5 \times 3.14 \\ 24.5 \times 24.5 = 600.25 \\ 600.25 \times 3.14[/tex]
[tex] = 1884.785[/tex]
Match each parabola with the coordinates of its zeros.
Answer:
where are the coordinates here
Trapezoid LION has coordinates L(-2, 4), 1(-4,-3), 0(4, -3), and N(3, 4). If LION is vertically stretched by a scale factor of 4, what are the newcoordinates of N'?
Answer:
grivity smell my toes giv egood to eat
Step-by-step explanation:
Marko's heart beats 72 times per minute during normal activity. It beats 65 times
per minute during sleep, and 118 times per minute when Marko is exercising.
During a 24-hour period, Marko slept from 10:00 p.m. until 5:00 a.m. and then
exercised from 5:30 a.m. to 7:30 a.m. For the remaining time he had normal
activity. During that 24-hour period, how many times did Marko's heart beat?
(times)
Answer:
105,660 times
Step-by-step explanation:
7 times 65=445 times 60=26 700
2 times 118=236 times60=14 160
15 times 72=1080 times 60=64 800
26700 plus 14 160 plus 64 800=105,660
brainliest please
Answer:
105,540 beats
Step-by-step explanation:
10:00-5:00 is 7 hours long so
60(minutes)×7=420 minutes
since his heart beats 65 times/min.
420×65=27,300 beats
5:30-7:30 is 2 hours long so
60(minutes)×2=120 minutes
120×118=14,160 beats
7 hours+2 hours=9 hours
24-9=15 hours
60×15=900 minutes
900×72 beats=64,800 beats
Add all heart beats together
27,300+14,160+64,080=105,540
Can you mark me Brainliest? Please, I need to level up.
The basketball team wins 2 out of every 3 games. If there are 12 games in a season and half of the games are home, how many home games do they win?
Answer:
6
Step-by-step explanation:
HELPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
The lines represent the lines of symmetry where the image can be reflected upon. Hence it is reflectional.
The dot in the middle of the image tells us that the image can be rotated about the dot to produce the exact same image. Hence it is rotational.
The answer is both rotational and reflectional.
Answer:
I broke it to phrases. Make sure to read both.
It is rotational symmetry. This is because rotational symmetry means it is able to be rotated, and looks the same. This is true with this figure. The lines demonstrate that it is an equal dimensioned 2D shape.
It is ALSO reflection symmetry because this means it can be split through the center and looks exactly the same, as if it was a reflection. This is true here too because it has the same amount of lines split through the same angle on each side making it equal. You can also see a line already going through the shape, and as you can see if you look at see side it looks equal, like a reflection.
The answer is D.
0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?
Answer:
0.0202
0.022
0.02
0.002
Step-by-step explanation: I am 5 million iq brainlist pls
Find the slope of a line that passes through the given points:
(5.1) and (8,3)
Answer:
2/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-1/8-5
2/3
Best of Luck!
look at picture and answer pls!
Answer:
assuming this is what you mean?
Step-by-step explanation:
Add:
[tex](9x + 7) + (x + 3)[/tex]
[tex]\pink{\mathbb{\underline{QUESTION}}}[/tex]
[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]
[tex]\pink{\mathbb{\underline{SOLUTION}}}[/tex]
[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]
[tex]{\bf{\implies9x + 7 + x + 3}}[/tex]
[tex]{\bf{\implies9x + x + 7 + 3}}[/tex]
[tex]{\bf{\implies10x + 10}[/tex]
Hence, 10x + 10 is answer.
Your balance sheet shows $6,400 worth of inventory in hair products. Items are recorded in inventory at cost, and the average cost per unit is $2.43. How many units of hair products do you have ?
Answer:
Units of hair products = 2634 units
Step-by-step explanation:
Given that:
Worth of products in the inventory = $6400
Average cost per unit = $2.43
Number of units = [tex]\frac{Total\ worth}{Per\ unit\ cost}[/tex]
Number of units = [tex]\frac{6400}{2.43}[/tex]
Number of units = 2633.73
Rounding off to nearest whole number = 2634 units
Hence,
Units of hair products = 2634 units
What is the measure of arc Q R?
26°
52°
104°
128°
Answer:
128
Step-by-step explanation:
i just took the test
Answer: D) 128
Step-by-step explanation:
The perimeter of the triangle is the same as the perimeter of the square.
3x – 4
5x - 6
2x - 2
Calculate the area of the square.
Your answer
Answer:
add 4, 6 and 2
you will get 12
a aware is even with four sides so divide by 4
12/4 =3
area of square = sxs
3×3 = 9
Determine the domain and range of the function f (x) = 2 RootIndex 3 StartRoot 108 EndRoot Superscript 2 x.
A: {x| all real numbers}; {y| y > 0}
B: {x| all real numbers}; {y| y ≥ 0}
C:{x| x > 0}; {y| all real numbers}
D: {x| x ≥ 0}; {y| all real numbers}
Answer:
The correct answer is A {x/ all real numbers}; {y/ y> 0}
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
edge
hope this helps :)
Two
Four children are sharing 5 pizzas. Each child
should have the same amount of pizza. How
much pizza can each child have?
show
Answer:
Each child should have 1.25 or 1[tex]\frac{1}{4}[/tex] pizzas.
Step-by-step explanation:
5 ÷ 4 = 1.25
Answer:
5 / 4
Step-by-step explanation:
Lets children be x
4x = 5
x = 5 / 4
Therefore each child should get 5 / 4 slices of pizzas
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The study was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids.
Answer:
[tex]-0.048<P_1-P_2<0.036[/tex]
Do not reject [tex]H_0:P_1-P_2=0[/tex]
Step-by-step explanation:
From the question we are told that
Sample size [tex]n_1=350[/tex]
Sample size [tex]n_2=250[/tex]
Sample proportion 1 [tex]\hat P= \frac{25}{350} =>0.07[/tex]
Sample proportion 2 [tex]\hat P= \frac{19}{250} =>0.076[/tex]
95% confidence interval
Generally for 95% confidence level
Level of significance
[tex]\alpha = 1-0.95=>0.05[/tex]
[tex]\alpha /2=\frac{0.05}{2} =>0.025[/tex]
Therefore
[tex]Z_a_/_2=1.96[/tex]
Generally the equation for confidence interval between [tex]P_1 - P_2[/tex] is mathematically given as
[tex](\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }[/tex]
[tex](-0.006)\pm 0.042[/tex]
[tex](-0.006)- 0.042=>-0.048[/tex]
[tex](-0.006)+ 0.042=>0.036[/tex]
Therefore
Confidence interval is
[tex]-0.048<P_1-P_2<0.036[/tex]
Conclusion
Given the confidence interval has zero
Therefore do not reject [tex]H_0:P_1-P_2=0[/tex]
HELP PLEASE!!! ( VERY IMPORTANT TO LOOK AT THE PICTURE)
A. 9
B. 12
C. 15
D. 21
Answer:
c
Step-by-step explanation:
.......,..............
9 + 8 + 9 - 102 + 200 =
Answer:
124
Step-by-step explanation:
9 + 8 + 9 - 102 + 200 =
9 + 8 = 17
17 + 9 = 26
26 - 102 = -76
-76 + 200 = 124
Mrs kofi sold an article for £7.50 instead of £ 12.75. calculate her percentage error correct to one decimal place
A bike rental is $3 for an hour. The rental for a day is 6 times as much. Caroline rents a bike for 1 day and 2 hours. Which equations could you use to find how much money, m, Caroline spends on a bike rental?
A. m = (6 X 3) + (2 × 3)
B. m= (6 X 1) + (2 × 3)
C. m = (6 × 2) × (3 × 3)
D. m=(3 × 6) + (3 X 2)
E. m = (1 × 6) + (3 × 2)
Answer:
A
Step-by-step explanation:
A day ist 6x3$
+
2hours 2*3$
The total money Caroline spend is m = (6 X 3) + (2 × 3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
A bike rental is $3 for an hour.
The rental for a day is 6 times as much.
Caroline rents a bike for 1 day and 2 hours.
so, For m money, Caroline total spend
m = (6 x 3) + (2 x 3)
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
3. National Discount has 260 retail outlets throughout the United States. National evaluates each potential location for a new retail outlet in part on the mean annual income of the households in the marketing area of the new location. National develops an interval estimate of the mean annual income in a potential marketing area after taking a random sample of households.For a marketing area being studied, a sample of 36 households was taken and the sample mean income was $21,100.39. Based on past experience, National Discount assumes a known value of $4500 for σ=the population income standard deviation.a. Develop a 95% confidence interval for the mean annual income of households in this marketing area. (5 point)
Answer:
(19630.39 , 22570.39)
Step-by-step explanation:
Given that:
Mean, m = 21100.39
Standard deviation, σ = 4500
Sample size, n = 36
Zcritical at 95% = 1.96
Confidence interval (C. I) :
m ± Zcritical(σ/√n)
21100.39± 1.96(4500/√36)
Lower bound :21100.39 - 1.96(750) = 19630.39
Upper bound : 21100.39+1.96(750) = 22570.39
(19630.39 , 22570.39)
Which question is an example of a statistical question?
A. Ask all of your friends, "What is your favorite color?"
B. Ask your teacher, "What college did you attend?"
C. Ask one of your neighbors, "How many times do you eat pizza a month?"
D. Ask several store clerks, "How much does this shirt cost?"
2247 divided by 7. I really don't know the answer. I have to show the work but don't know how to solve the problem
Answer: the answer is 321 :)
Step-by-step explanation:
So, 7/2247
Down below that’s the show your work part. Hope this helps and good luck
