Answer:
1/2
Step-by-step explanation:
We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:
[tex]16 ^{1/2} * 2^{-3}[/tex]
Simplifying:
=> [tex]4 * \frac{1}{2^3}[/tex]
[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]
The answer is 1/2.
A car traveled 360 miles in 4 hours. If its speed were to be 15 mph slower, how long would it take to travel the same distance?
Answer: 4.8 hours.
Step-by-step explanation:
To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.
Speed is distance over time, or in this case, miles per hour.
360 / 4 = 90 miles per hour.
The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.
You can now use the same equation to find the time travelled:
360 / x = 75
360 = 75x
Divide both sides by 75 to get your answer:
4.8 = x
It would take the car 4.8 hours to travel the same distance.
PLEASE HELP ME!
Tina and Tammy both get paid an equal hourly wage of $12 per hour. This week, Tina made an additional $46 in overtime. Select the expressions below that represent the weekly wages of both if x the number of hours
Tina worked this week and y= the number of hours Tammy worked this week
Answer:
Expressions B, D and E
Step-by-step explanation:
Here, we are to select which of the options is correct.
Let’s put in mind that they bought earn $12 per hour
x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x
Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46
The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y
The total amount of money both made is thus;
12x + 46 + 12y
= $(12x + 12y + 46)
Now, we have similar expressions in the question;
These are; expression B, expression D and expression E
While expression B is straightforward, the others are not
expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46
expression E just involved putting what each of the two earned in brackets
Westin is comparing the triangles below.
Triangle F G H. Side G H is 4 centimeters, angle G is 117 degrees, and angle H is 27 degrees. Triangle J L K. Side J L is 8 centimeters, angle J is 27 degrees, and angle L is 117 degrees.
He uses the similarity statement Triangle H G F is similar to triangle L J K. Which best describes the accuracy of Westin’s statement?
Accurate. HG and LJ are proportional.
Inaccurate. HG and LJ are not corresponding sides.
Inaccurate. The sides are not proportional. There is no common ratio between the sides.
Inaccurate. The angles in the order listed do not correspond.
Answer:
It is Inaccurate: The angles in the order listed do not correspond. I just took the test
Answer:
Inaccurate. The angles in the order listed do not correspond.
Step-by-step explanation:
I am doing the test rn and I think this is the right answer
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is inches long, 18 inches wide, and 24 inches tall. Large Box 2 is inches long, inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Answer:
- The number of small boxes that will fill the large box 1 = 64
- The number of small boxes that will fill the large box 2 = 56
Step-by-step explanation:
Complete Question
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Solution
To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.
Volume of a cuboid = L × W × H
For the small box,
Length = L = 4.5 inches
Width = W = 4.5 inches
Height = H = 8 inches
Volume of the small box = 4.5 × 4.5 × 8 = 162 in³
For large box 1,
Length = L = 24.25 inches
Width = W = 18 inches
Height = H = 24 inches
Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³
For large box 2
Length = L = 20.5 inches
Width = W = 18.5 inches
Height = H = 24 inches
Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³
The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.
The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.
Hope this Helps!!!
Please check 1, 2, 4, and 5 for me and please help me with question 3.
Thank you!
Answer:
n = 7
Step-by-step explanation:
Your answers are correct.
For problem 3, we use error estimation:
| (-2)ⁿ⁺¹ / (n+1)! | < 0.01
(2)ⁿ⁺¹ / (n+1)! < 0.01
By trial and error:
If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667
If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089
If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006
Correct answers only please! I keep losing points...
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.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent.
the answer would be 27% :3
Answer:
27%
Step-by-step explanation:
Donnie deli man delivered 595 box lunches for the robotics convention. There were 20 more turkey sandwiches then roast beef. There were twice as many roast beef has PB&J. How many of each type of BoxLunch did Donnie delivered?
Answer:
250 turkey sandwiches were delivered.
There were 230 roast beef delivered.
115 PB&J were delivered.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of turkey sandwiches.
y is the number of roast beef.
z is the number of PB&J.
Donnie delivered 595 box lunches
This means that [tex]x + y + z = 595[/tex]
There were 20 more turkey sandwiches then roast beef.
This means that [tex]x = y + 20[/tex]
There were twice as many roast beef has PB&J.
This means that [tex]y = 2z[/tex].
So in the second equation, we have that [tex]x = 2z + 20[/tex]
Replacing this in the first equation:
[tex]x + y + z = 595[/tex]
[tex]2z + 20 + 2z + z = 595[/tex]
[tex]5z = 575[/tex]
[tex]z = \frac{575}{5}[/tex]
[tex]z = 115[/tex]
115 PB&J were delivered.
[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]
250 turkey sandwiches were delivered.
[tex]x = y + 20[/tex]
So
[tex]y = x - 20 = 250 - 20 = 230[/tex]
There were 230 roast beef delivered.
Factor completely 5x2 - 20.
Answer:
[tex]5(x-2)(x+2)[/tex]
Step-by-step explanation:
Factor out 5:
[tex]5(x^2-4)[/tex]
Use difference of squares formula for the inside:
[tex]5(x-2)(x+2)[/tex]
The number of candies in the bag was less than 90. It is possible to divide all the candies evenly among 3, 4, or 7 children. How many candies were in the bag?
Answer:
84
Step-by-step explanation:
The least common multiple of 3, 4, and 7 is 3·4·7 = 84.
There were 84 candies in the bag.
median and range
math question
Find the value of u. If the volume is 560
Answer:
10 ft
Step-by-step explanation:
V = l*w*h
560 = 7*8 *u
560 = 56u
divide each side by 56
560/56 = 56u/56
10 =u
There are 30 fruits, all apples and peaches, in a basket. Take out any three of them and at least one will be an apple. How many peaches might there be in the basket?
Answer:
There are a maximum of 2 peaches in the basket.
Step-by-step explanation:
There are 30 fruits in a basket, all apples and peaches.
If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.
For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.
This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.
Hope this Helps!!!
Answer:
max=2 peaches
Step-by-step explanation:
What type of function is represented in the table?
x 0 1 2 3 4 5
y -7 -2 3 8 13 18
a.quadratic
b.exponential
c.logarithmic
d.linear
The type of function represented in the table is linear.
How to find the type of function represented in a table ?Let's check the type of function represented in the table.
You can tell if a table is linear by looking at how x and y change. If, as x increases by 1, y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.
It can also be found by using the linear equation,
y = mx + b
where
m = slopeb = y-interceptTherefore,
The x increases by y and the y increase by a constant rate of 5.
-2 - (-7) = 53 - (-2) = 58 - 3 = 5Therefore, the function represented in the table is linear.
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100 Points, EASY MATH QUESTION.
Topic: Fractions
Three siblings decided to share the yard work (chores) that their parents assigned. If siblings A and B do 8/12 of the work, what fraction of the work is left for sibling C?
1/2
1/3
1/4
1/5
Answer:
1/3
Step-by-step explanation:
1/3 because 8/12 + 1/3 is 1 whole
Answer:
1/3
Step-by-step explanation:
The whole chore is 1, or 12/12
Subtracting the fraction of work done by A and B
12/12- 8/12 = 4/12
Which simplifies
4/12 = 1/3
Find the mean for each data set. Number of Flowers . . . . . . <-----I-----I-----I-----I-----I-----I-----I-----I-----I-----> 10 11 12 13 14 15 16 17 18
Answer:
Well to find the mean of the above
take £ as sigma
therefore,
mean= £fx/£f
This simply means the sum of all the numbers divided by the number of members
therefore,
10 + 11+12+13+14+15+16+17+18= 126
And the number of figure present on the number line are 9, therefore 126 divided by 9
giving you a result of 14
Therefore the mean of the above numbers is 14.
A)Greg
B)tony
C)Robert
D)John
Answer:
C
Step-by-step explanation:
Let's compare 3/7 and 3/4 first. These two fractions have the same numerator but not the same denominator, so the fraction with the smaller denominator will be larger. Therefore, 3/4 is larger, so we can eliminate A.
4/9 is less than 1/2, and 3/4 is greater than 1/2, so 3/4 is greater than 4/9 and we can eliminate B. The same goes for D.
Therefore, our answer is C) Robert. Hope this helps!
How do I find the perimeter for a square and a triangle?
Answer: 24 inches.
Step-by-step explanation:
You can find the perimeter of the polygon by adding the side lengths.
First, find the missing side lengths.
There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.
We can then add the sides to find the perimeter:
4 + 9 + 5 + 1 + 5 = 24 inches long.
Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.
If Two-thirds = StartFraction x over 12 EndFraction, what is the value of x? 4 8 18 24
Answer:
8
Step-by-step explanation:
[tex] \frac{2}{3} = \frac{x}{12} \\ x = \frac{2 \times 12}{3} \\ x = 2 \times 4 \\ x = 8[/tex]
Answer:
B) 8
Step-by-step explanation:
2\3= X/123X=2424÷3=8The answer is 8PLEASE HURRY !!!!!
Step- by- step
Solve the equation for x:
4x - 4 = 6x + 8
Solve the equation for x:
1/3x + 4 = 10
can someone help me please I'm doing this for math Olympics
A contractor is asked to build a new set of townhouses in attached clusters of
different sizes. He created plans for one-, two-, and three-house clusters, as shown in the diagram below. The builder used computer software to draw the line segments used to represent the houses. How many line segments are needed to draw 4 houses? 10 houses? 47 houses? n houses? Explain your strategy.
What is the formula for the circumference of a circle in terms of r
Answer:
C = 2πr
Step-by-step explanation:
The formula for the circumference of a circle is C = πd, and since the diameter, d, is equal to double the radius, 2r, we can replace 2r for d. Giving us C = 2πr
If f(x)=2x+3, find the following value of f(x)=11.
Please help me understand this problem and the answer please.
What number is in the hundreds place in 500?
Answer:
The 5!
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
because it is the 3rd number from the ones place
The _____ gives the location on the X axis and the _______ gives the locaton on the Y axis
Answer:des
Step-by-step explanation:
Solve the equation by doing the inverse operation to work backwards
x+13=25
Answer:
x = 12
Step-by-step explanation:
x+13=25
Subtract 13 from each side
x+13-13=25-13
x = 12
what do u have to do???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Step 1: Answer the question
They are independent because the cards are always going to stay the same. If each card that was picked and discarded, that would alter the future which would make it dependent. But... since it doesn't change the cards, it is independent.
Answer: independent
Answer:
Independent
Step-by-step explanation:
Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent
If it was without replacement, they would have been dependent
Expand the expression and combine like terms. Show your work.
1.6x−12(3.8x+0.04)
Answer:
-44x - 0.48
Step-by-step explanation:
[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]
PLEASE HELP!!
Use the Triangle Inequality Theorem to determine which set of numbers CANNOT form the side lengths of a triangle.
A. 7, 9, 20
B. 6, 14, 17
C. 8, 24, 30
D. 2, 2, 3
E. 12, 22, 32
Answer:A
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem.
Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.
Answer:
The person is a about 2m
The height of the person is 0.475m.
What is the scale factor?The scale factor is the ratio of the size image in scale and original size of the image.
Scale factor= new size/ original size
Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm
But in scale, the length of the lorry is 10cm
scale factor =new size/ original size= 10/950= 1/95
Similarly for the person height of the person on the scale is given = 2cm
As from above it is clear that
scale factor= 1/95
new size/ original size= 1/95
2/ original size= 1/95
original size= 95/2
original size= 47.5 cm
original size= 47.5/100 m= 0.475 m
Therefore the height of the person is 0.475m.
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