Answer:
$5.02
Step-by-step explanation:
$2.49 × 2 = $4.98
$10 - $4.98 = $5.02
Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
Step-by-step explanation:
I just answered this.
the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".
you need to pick an apple from the originally "red/green" labeled bag.
since that label is wrong, it must be one of the pure color bags.
so, that bag gets the label for the color that we picked.
now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".
the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.
evaluate 1/4c + 3d when c = 6 and d = 7
please don't just give me the answer, explainnn because i don't know how to do this
Answer:
22 1/2
Step-by-step explanation:
1/4×6=1 1/2
3×7=21
21+1 1/2=22 1/2
Answer as a decimal = 22.5
Answer as a fraction = 45/2
===========================================================
Explanation:
Replace c with 6, and replace d with 7.
Then use the order of operations (PEMDAS) to simplify until you get a single number.
[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]
If you want to convert this to an improper fraction, then,
[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]
edmentum, end of semester test, geometry A, answer key ,please anyone?
The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:
|C-78|=2.5
What will be the end of semester test?From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.
From the question statement, we can easily the information thatSam tends to use an industrial kitchen to bake several batches of his famous chocolate chip bars.Also, it is mentioned that he needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces.Mathematically, it means:
|C-78|=2.5
Hene, the reqired equation will be :|C-78|=2.5
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What is the surface of the area of the composite figure
Answer:
1744.4
First, remove 13
13 and use length times width times height to get the surface area. 14 x 14 x 8.9
Shula covered a box with fabric. The dimensions of the box are 7 inches x 11 inches and depth is 8 inches. If fabric costs 7 cents how much will she spend on fabric
Answer:
Option (D) is correct.
Shyla spend $30.94 on the fabrics
Step-by-step explanation:
Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.
Here Length (l) = 7 inches
Breadth (b) = 11 inches
Height (h) = 8 inches
Surface area of Cuboid = 2( lb +bh + hl )
Substitute the values, we get,
Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )
= 2( 77 +88 +56)
= 422 square inches.
Given: the fabric costs 7 cents per square inch = $0.07 per square inches.
Money Shyla spend on the fabric = total area × cost of fabric per square inch
= 442 × 0.07
= $30.94
Thus, Shyla spend $30.94 on the fabrics.
So , Option (D) is correct.
please help! click on the picture
Step-by-step explanation:
To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
L=length=15.5 ft; W=width; A=area=>217 sq ft
L*W=>217 sq ft Divide each side by L
W=>217 sq ft/L
W=>217 sq ft/15.5 ft=>14 feet
ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.
Answer:
at least 14 ft
Step-by-step explanation:
The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.
A = LW . . . . . . . . . area formula
A ≥ 217 ft² . . . . . . . . . given constraint
(15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length
W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft
The possible width of the region is at least 14 feet.
NEED HELP PLEASE!!!!!!
Answer:
i wish i knew im in the same situwantion
Step-by-step explanation:
HELP!!! NEED ANSWER IN 5 MINUTES A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 16 slips at random and looks at them.
Answer:
[tex]\sf \dfrac{1}{2}[/tex]
Step-by-step explanation:
Results from the slips of paper:
yes = 8no = 8Total slips of paper = 16
[tex]\sf Proportion = \dfrac{part}{whole}[/tex]
[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
There are 16 responses
There are 8 people who said yes
P( happy) = yes/ total
P(happy) = 8/16 = 1/2
PLSS HELP ME WITH THIS !! 20 POINTSS
Answer:
Choice A.
Step-by-step explanation:
y = 10/5 x
becAUSE 10/5 = 2
Answer:
A
Step-by-step explanation:
the equation of proportionality is
y = kx ← k is the constant of proportionality
A
y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2
B
y = [tex]\frac{2}{2}[/tex] x = 1x ← with k = 1
C
y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]
D
y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11
In his first week at college, Anthony spent $17 on entertainment, $33 on food, and $23 on gas. If there are 11 weeks in the semester, estimate the total amount of money Anthony will spend on these things throughout the semester.
Answer:
$803
Step-by-step explanation:
17 + 33 + 23 = 73
73 * 11 = 803
The cost price of a wrist watch of 2500 at 25% gain what’s the selling price
Answer:
The selling price is $3,125
Step-by-step explanation:
25% of 2500 is 2500 x 0.25 = 625
You will be adding the 25% gain to cost price to find the new price
2500 + 625 = 3125
Answer:
3125
Step-by-step explanation:
from the question,
25% simply means 25/100= 0.25
25% of 2500= 0.25×2500= 625
gain= 625
selling price= 625+2500= 3125
If the volume of a cone is 10 m^3 what is its height if the area of the base is 10 m^2?
Answer:
3 m
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]
Given:
volume = 10 m³Area of base = 10 m²[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]
[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]
[tex]\implies \sf 30=10h[/tex]
[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]
Answer:
height: 3 meter
Explanation:
[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]
Here given:
base area: 10 m²height: hvolume: 10 m³Solve:
[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]
[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]
[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]
[tex]\longrightarrow \sf 3 = h[/tex]
I'm sorry if you can't see the questions fully. But I answered the first and last one.
Need asap!!!!!!!!!!!
Answer:
50 J
Step-by-step explanation:
According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.
100 - 50 = 50
Question 1(Multiple Choice Worth 4 points)
(13.07 MC)
Madge leaves her home at 8:05 to go to school. The drive takes one third hour each way. If she is at school for 7 hours, what time does she arrive home?
3:45
3:25
3:15
3:05
Answer:
takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45
the box and wiskers plot represent the number of minutes spent by users on two different social media groups which THREE statments are correct when comparing the plots
The true correct statements about the box-and-whiskers plot are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25 What is the Spread and Median of a Data?In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.
Median of a data is the value at the point where the vertical line divides the rectangular box.
Median for Group A is between: 45 and 50
Median time for Group B is: 40.
Therefore, the three statements are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25Learn more bout spread of a data on a box plot on:
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Which statement best describes the function shown in the graph?
A. The function is positive when x > 1.
B. The function is positive for all values in the domain.
C. The function is positive when x > 0.
D. The function is positive when x > -5.
Answer:
B
Step-by-step explanation:
since domain should be in positive i thinks this should be answer B
what is172892 divided by 6
Answer:
28815.3333333
Step-by-step explanation:
The 95 % confidence interval (use z*) is:
____ to ____
(to 3 decimals)
Using the z-distribution, it is found that the 95% confidence interval is given by:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Hence, the interval is:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
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CREATE A NUMBER LINE THAT
1 7
RANGES FROM – TO —. THEN ADD
8 8
AS MANY OTHER FRACTIONS AS
YOU CAN IN BETWEEN
The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
How to generate the number line?The range of the number line is given as:
Range = 1/8 to 7/8
Using an increment of 1/8, the fractions on the number line are:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
Next, we plot the number line where the above fractions are placed on the number line
See attachment for the required number line.
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Write and solve an equation to find the measure of angle X.
Answer:
x = 43°
Step-by-step explanation:
In order to find the measure of angle x we'll use Vertical Angles Theorem.
x = 180° - (90 + 47)x = 180° - 137x = 43°Therefore, the measure of angle x is 43° ✓.
«•••••••••••••••••»
what is :
2 tons + 10 pounds
And
4 tons + 10 pounds
and then explain it properly
2 tons + 10 pounds = 4,010 pounds
4 tons + 10 pounds = 8,010 pounds
Step-by-step explanation:
2,000 POUNDS EQUALS 1 TON.
a.) 2 tons = 2,000 X 2 = 4,000 pounds
4,000 pounds + 10 pounds = 4,010 pounds
2 tons + 10 pounds = 4,010 pounds
b.) 4 tons = 2,000 X 4 = 8,000 pounds
8,000 pounds + 10 pounds = 8,010 pounds
4 tons + 10 pounds = 8,010
Need help with 21-22
Answer: 21 is b. 22 is c
Step-by-step explanation: do u need explanation.. because the questions are multiple choice???
38. Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 1 m and a height
of 8 m. What is the ratio of the volume of cylinder A to the volume of cylinder B?
A.) 1:2
B.) 2:1
C.) 1:1
D.) 1:4
Hey mate ,
The ratio of Cylinder A to Cylinder B can be find by following steps ,
Volume of Cylinder A : Volume of Cylinder B
πr²h : πR²H
putting the known values , and cancelling same terms on both the sides4 : 8 ( as π and radius can be cancelled because they are same on both the sides)
Ratio :- 1:2
Kate's house exterior needs painting.
Disregarding windows and doors, find the surface area of the walls.
Explanation:
Perimeter of the base = 8+10+15+7+23+17 = 80 meters
The 23 is from 8+15 = 23 and it is the length along the back wall, while the 10+7 = 17 is the length along the left side wall. Both the sides of 23 and 17 are hidden from view. The height of 5 meters is not part of the perimeter of the base.
Multiply the perimeter of the base by the height of the building to find the lateral area, aka wall area.
80*5 = 400 square meters
Describe the symmetry if these functions
Answer:
see the attachment.
i hope this can help you!
The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? Round to the nearest tenth.
The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The sides of a triangle measure 12 inches, 17 inches, and 24 inches.
From the formula:
[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]\rm s = \dfrac{a+b+c}{2}[/tex]
a = 12, b = 17, c = 24 inches
[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]
Plug all the values in the formula we get:
Area = 95.529 ≈ 95.53 square inches
Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
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What is the slope of a line perpendicular to the line whose equation is
3x+6y=-54.
Fully simplify your answer.
Answer:
slope = 2
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given equation:
[tex]3x + 6y = -54[/tex]
Rearrange the given equation to make y the subject:
[tex]\implies 6y=-3x=-54[/tex]
[tex]\implies y=-\dfrac{1}{2}x-9[/tex]
Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line perpendicular to the given equation is:
[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]
[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]
[tex]\implies m=-1 \cdot-2[/tex]
[tex]\implies m=2[/tex]
Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.05. Assume a 98% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 46% of people supported health care revisions. (Use t Distribution Table & z Distribution Table.)
Required:
a. How large of a sample is required? (Round up your final answer to the next whole number.)
b. How large of a sample would be necessary if no estimate were available for the proportion supporting current policy? (Round up your final answer to the next whole number.)
The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
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Check the picture of the necessary information