Answer:
9/10ths of a mile. Or 0.9 miles.
Step-by-step explanation:
To get the total it's helpful to look at it in decimals:
2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)
1/2 mile = 0.5 miles
Add them together = 0.9 miles.
Which is 9/10ths of a mile.
The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.
We have to find out the total distance in miles that you have walked.
What do you mean by fractions ?
A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.
As per the question ;
You walk 2/5 miles to a clothing store
and
then ; walk another 1/2 miles to a music store.
To find out the total distance walked by you in total , we need to add both the distances given in the question.
i.e.,
Total distance will be ;
= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]
= [tex]\frac{4+5}{10}[/tex]
= [tex]\frac{9}{10}[/tex] miles
or
= 0.9 miles
Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
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How much of an alloy that is 30% copper should be mixed with 50 ounces of an alloy that is 60% copper in order to get an alloy that is 40% copper?
Answer: 180 i think
Step-by-step explanation: .5*200+.2X=.3(200+X)
100+.2X=60+.3X
.2X-.3X=60-100
-.1X=-40
X=-40/-.1
X=400 OUNCES OF 20% COPPER.
PROOF
.5*200+.2*400=.3(200+400)
100+80=.3*600
100+80=180
180=180
Answer: 100 ounces of the alloy.
Step-by-step explanation: To solve, we create an equation:
First, though, let's define some variables and values -
x = amount of the alloy we are trying to find
0.3 = 30% copper
0.6 = 60% copper
50 = 50 ounces of the alloy
0.3(x) + 0.6(50) = 0.4(x+50) - original equation
0.3x + 0.6*50 = 0.4x + 0.4*50 - expanded
subtract 0.3x and 0.4*50 on both sides to get...
0.2*50 = 0.1x - simplified
calculate...
10 = 0.1x - simplified
divide both sides by 0.1 to get...
100 = x --> x = 100
What is the constant proportionality in the table below?
Answer:
1/2
Step-by-step explanation:
Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2
Solve: 7 - 2x = 2(x-4) - 1
O A. There are infinitely many solutions.
O B. x = 3
O c. x = 4
O D. x= -4
PLS ANWSER QUICK TIMED ASSIGNMENT
Which equation represents a circle with a center at (2,-8) and a radius of 11
(x-8)^2+(y+2)^2=11
(x-2)^2+(y+8)^2=121
(x+2)^2+(y-8)^2=11
(x+8)^2+(y-2)^2=121
The second one, because when you square the right side of the equation you get 11 which is your radius. On the right side you get 2,-8 when you solve for the radius. aka solve for x and y
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Answer:
x=20
4=140
1=40
Step-by-step explanation:
7x=2×+100
5×=100
×=20
4=7(20)=140
1=180-140=40
Answer:
x=20
m<4=140
m<1=40
Step-by-step explanation:
to figure out angle 1 just subtract 140 from 180
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn, and each reported the amount of time spent at part-time jobs (in minutes). These are listed here. Determine the 95% confidence interval estimate of the population mean.
Complete Question
Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.
Answer:
The 95% confidence interval is [tex] 127.09 < \mu < 167.57 [/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 40[/tex]
The sample size is n = 15
The data given is 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{ \sum x_i}{n }[/tex]
=> [tex]\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }[/tex]
=> [tex]\= x = 147.33[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{40}{\sqrt{15} }[/tex]
=> [tex]E =20.24 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex] 147.33 -20.24< \mu < 147.33 + 20.24 [/tex]
[tex] 127.09 < \mu < 167.57 [/tex]
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340
Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!
Answer:
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]
∴ sin∠B = [tex]\frac{AC}{AB}[/tex]
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x = [tex]\frac{10.8}{sin(57)}[/tex]
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12
Answer:
13, 16.5, 12
Step-by-step explanation:
-7x= -91 divide both sides by -7 to isolate x
[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1
x=13
0.5x + 1.75 = 10 subtract 1.75 from both sides
0.5x +1.75-1.75 =10 -1.75
0.5x = 8.25 divide by 0.5 both sides
[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]
x=16.5
0.75h +3=12 subtract 3 from both sides
0.75h = 12-3 divide both sides by 0.75
[tex]h= \frac{9}{0.75}[/tex] = 12
What is the scale factor for the dilation of triangle ABC to produce triangle A’B’C’?
0.25, 0.5, 2, 3
What is the scale factor for the dilation of triangle ABC to produce triangle A’’B’’C’’?
0.25, 0.5, 2, 3
Answer:
.5 for the first blank
2 for the second blank
A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?
Answer:
12
Step-by-step explanation:
We have to find 3/4 th of 16
So it's 3/4 * 16 = 12
2:5 =4: ?
Answer
Explain
What is a number greater than 260 that rounds to 260
Answer:
263 (if u round to the nearest tens)
Step-by-step explanation:
Answer:
261, 262, 263, 264
Step-by-step explanation:
They are all higher and if you go to 5+ you round up.
This is my question it is in the screen shot please help me.
help please I’m struggling badly because Im bad at math
Answer:
40º
Step-by-step explanation:
if u look at the triangle it would show you
Answer:
40 degrees
Step-by-step explanation:
since JKM is congruent to PQR then,
Q is congruent to K so they have the same measure.
Whar is the square root of 9604?
Answer:
98
Step-by-step explanation:
the square root of 9604 is 98 which lie between 97 and 99
you have a bill of $100. find a 10% tip?
Answer:
10 bucks
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
10%=0.1
100*0.1=10
$10
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Answer: There are 210 pages that ty read in 6 hours.
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLYEST. 50 POINTS PLEASE. I WILL REPORT ABSURD ANSWERS. MY QUESTIONS ARE THE IMAGES BELOW
Answer:
1, 3, 4- yes, 2- noStep-by-step explanation:
#1
Yes, it is functionx-values are unique and each has one corresponding y-value#2
No, it is not a functionx-values are repeated with different y-value: (13, 4) and (13, -4)#3
Yes, it is a functionIf you put a vertical line, there will always be one intersection with the graph#4
Yes, it is a functionThis will produce a parabola which is a graph of a normal function with unique x-values and corresponding y-valuesSolve the equation -11<-x+2<3
Answer:
13 > x > -1
Step-by-step explanation:
-11 < -x + 2 < 3
~Subtract 2 both sides
-13 < -x < 1
~Divide -1 to both sides
13 > x > -1
Best of Luck!
$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)
Answer:
(Use the attached formula)
24,000 for 4 years (48 months) at 2.75% interest
We divide rate by 1,200 which equals 0.0022916667
Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000
Monthly Payment = 0.0022916667 + (0.0022916667 / (1.1161375981 -1) * 24,000
Monthly Payment = [0.0022916667 + (0.0022916667 / 0.1161375981 ] * 24,000
Monthly Payment = [0.0022916667 + 0.0197323411 ] *24,000
Monthly Payment = 0.0220240078 * 24,000
Monthly Payment = 528.5761872 = 528.58 (rounded)
Step-by-step explanation:
Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
If 32^2C = 8^C+7, what is the value of c?
1
2
3
5
32 = 2⁵ and 8 = 2³, so you can rewrite the equation as
[tex]32^{2c}=8^{c+7}\implies(2^5)^{2c}=(2^3)^{c+7}\implies 2^{10c}=2^{3c+21}[/tex]
The bases of both sides are equal, so the exponents must be too. Solve for c :
10c = 3c + 21
7c = 21
c = 3
When you divide 7.7 by 700, how many decimal places will the quotient have?
Find the value of n. 103 × n = 630 The value of n is .
Answer:
The answer would be n=6.11
Step-by-step explanation:
The answer would be n=6.125
It is asking for the value of a variable, in this case, the variable is "n" and it can be found by isolating it on one side of the equation using basic mathematical operations such as division, multiplication, addition and subtraction. The question is asking to find the value of n, by solving the equation 103*n = 630.
To find the value of n, we can divide both sides of the equation by 103.
103 * n = 630
n = 630/103
n = 6.125
Therefore, The value of n is 6.125
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Alina wants to make some yummy sugar cookies today!
The recipe written in her book is:
2 3/4 cup flour + 1 cup butter + 1 1/2 cup sugar + 1 egg + 1 tsp baking soda + 1/2 tsp baking powder = 24 cookies
But Alina has the following ingredients in her kitchen: 9 cups flour, 5 cups butter, 4.5 cups sugar, 8 eggs and a excess of baking soda and powder.
1. How many cookies can she make?
2. Which ingredient is her limiting reactant?
3. Besides, baking soda and powder, how many of each reactant will be left over in her kitchen?
Answer:
3.2
Step-by-step explanation:
Need a favor!
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
graph of line going through ordered pairs (0, 300) and (450, 0)
HELP PLZZZ i need it plz
The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?
Time Elapsed (Hours)
Miles Traveled (Miles)
0.50
2.00
0.75
3.50
1.00
4.75
4.75 miles per hour
5.00 miles per hour
5.50 miles per hour
6.00 miles per hour
Answer:
B
Step-by-step explanation:
Just took test on edge.
Average rate of change, miles per hour, during the interval 0.75 to 1.00 hours is 5 miles per hour.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
Given a table which shows how far a distance runner has traveled since the race began.
If f(x) is a function, the average rate of change of the function in the interval [a, b] is,
f(b) - f(a) / b - a
Here the interval is (0.75, 1).
Average rate of change of the function is,
Average rate of change = (4.75 - 3.50) / (1 - 0.75)
= 1.25 / 0.25
= 5
Hence the required average rate of change is 5 miles per hour.
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