Answer:
The answer is D
Step-by-step explanation:
2/3x-5/6=5/12x+1/4
x=1
the only option that x=1 is
2/3x-13/12=-5/12x
Use the figure to find the measures of the numbered angles
A blueprint for a house shows the height of the house to be inches. The actual house is feet tall. What is the unit rate in feet per inch?
What is the justification for each step in solving the inequality?
−2(x+1)≥3x+8−2(x+1)≥3x+8
Select from the drop-down menus to correctly justify each step.
−2(x+1)≥3x+8−2(x+1)≥3x+8 :Given
−2x−2≥3x+8−2x−2≥3x+8 :
−2x≥3x+10−2x≥3x+10 :
−5x≥10−5x≥10 :
x≤−2x≤−2 :
What is the number in standard form?
5.8×10^-10
0.00000000058
A: 0.00000000005008
B: 0.0000508
C: 0.00000005008
D: 0.0000000508
E: 0.0000058
please help this is a unit test due today. thank you
The number 0.00000000058 in standard form is equal to [tex]58\times10^{-11}[/tex].
In Mathematics and Statistics, any numerical data (number) can be written in scientific notation as shown below:
a × [tex]b^{n}[/tex]
Where
a represent a real number.b represent an integer.Based on the information provided above, the numerical data (number) is given by 0.00000000058. When expressed in decimal notation, it can be computed as follows;
Numerical data = 0.00000000058
Numerical data = [tex]5.8\times10^{-10}=58\times10^{-11}[/tex]
Note: The number of zeros must be equal to ten (10).
In Nathan’s baseball card collection, 58% of the cards are players form the national league. He has 702 baseball cards. About how many baseball cards are players form the national league? Use a rate per 100 to estimate
SHOW WORK PLEASE THANKYOU!
Answer: 406
Step-by-step explanation:
Given : In Nathan’s baseball card collection, 58% of the cards are players form the national league.
We can write 58% as 0.58 [To convert percent into decimal we divide it by 100]
If he has 702 baseball cards, then the number of baseball cards are players that form the national league will be :
[tex]0.58\times702\approx 0.58\times700=406[/tex]
Hence, about 406 baseball cards are players form the national league.
The blanket is 2.25 meters long and 1.8 meters wide.What is the area of the blanket?Write the answer in centimeters
To calculate the area of the blanket, multiply the length (2.25 meters) by the width (1.8 meters) to get 4.05 square meters. Then convert this to square centimeters by multiplying by 10,000 (since 1m^2 is 10,000 cm^2), resulting in an area of 40500 square centimeters.
The area of the blanket can be calculated by multiplying its length by its width. We start with the measurements in meters and then convert the result into centimeters.
First, we find the area in square meters:
Area = length × width = 2.25 m × 1.8 m = 4.05 m²
Since there are 100 centimeters in a meter, we need to convert each dimension from meters to centimeters before we can find the area in square centimeters. This means we multiply each meter by 100 to get the dimension in centimeters:
Length in centimeters = 2.25 m × 100 cm/m = 225 cmWidth in centimeters = 1.8 m × 100 cm/m = 180 cmArea in square centimeters = length in cm × width in cm = 225 cm × 180 cm = 40500 cm²So, the area of the blanket is 40500 cm².
what is the relationship between "2ab and a+b"
Simplify. 8u+9v+3u−5v
What is the answer?
11u + 14v
15uv
5u + 4v
11u + 4v
To simplify the expression 8u + 9v + 3u - 5v, combine the u terms and the v terms separately to get 11u + 4v.
Explanation:To simplify the expression 8u + 9v + 3u - 5v, we can combine like terms. Like terms have the same variables raised to the same power. Combining the u terms and the v terms separately, we have (8u + 3u) + (9v - 5v), which simplifies to 11u + 4v. Therefore, the answer is 11u + 4v.
Elizebeth wants to challenge you to a toothpicks and tiles game using exactly 6 tiles solve her
find a pattern where the number of toothpicks is more than double the number of tiles
answer and explain
To solve Elizebeth's challenge, we can arrange 6 tiles in different ways to find a pattern where the number of toothpicks is more than double the number of tiles. The pattern is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.
Explanation:To solve Elizebeth's challenge, we need to find a pattern where the number of toothpicks is more than double the number of tiles. Let's start with 6 tiles. We can arrange these tiles in various ways and count the number of toothpicks:
Using all 6 tiles in a straight line, we would have 6 toothpicks.Using 5 tiles in a straight line and leaving one tile out, we would have 5 toothpicks.Using 4 tiles in a straight line and leaving two tiles out, we would have 4 toothpicks.Using 3 tiles in a straight line and leaving three tiles out, we would have 3 toothpicks.Using 2 tiles in a straight line and leaving four tiles out, we would have 2 toothpicks.Using 1 tile alone, we would have 1 toothpick.So, for 6 tiles, the number of toothpicks is either 1, 2, 3, 4, 5, or 6. The pattern we can observe is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.
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Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
The equation that could be used to solve the number of hours Ben ran during each half of the race will be y = 5x + 3 and y = 5.5x + 2
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. Therefore, the number of miles covered will be:
y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. Therefore, the number of miles covered will be:
y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
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In a certain card game , For every four blue cards, there are three yellow cards. There are a total of 84 blue and yellow cards in the game how many blue cards are in the game
Answer:
It is 48
Step-by-step explanation:
PLEASE HELP ME ASAP!!!
Each dimension of a right triangle with legs of length 6 cm and 8 cm and a hypotenuse of length 10 cm is multiplied by 1/2 to form a similar right triangle. How is the ratio of perimeters related to the ratio of corresponding sides? How is the ratio of areas related to the ratio of corresponding sides?
The ratio of perimeters is one-fourth of the ratio of corresponding sides.
The ratio of areas is the cube of the ratio of corresponding sides.
The ratio of perimeters is equal to the ratio of corresponding sides.
The ratio of areas is the cube of the ratio of corresponding sides.
The ratio of perimeters is one-fourth of the ratio of corresponding sides.
The ratio of areas is the square of the ratio of corresponding sides.
The ratio of perimeters is equal to the ratio of corresponding sides.
The ratio of areas is the square of the ratio of corresponding sides.
The ratio of perimeters is equal to the ratio of corresponding sides. The ratio of areas is the square of the ratio of corresponding sides.
Explanation:The ratio of perimeters is equal to the ratio of corresponding sides. The ratio of areas is the square of the ratio of corresponding sides.
For a right triangle with legs of length 6 cm and 8 cm and a hypotenuse of length 10 cm, if each dimension is multiplied by 1/2 to form a similar triangle, the corresponding sides of the new triangle will be 3 cm, 4 cm, and 5 cm. The ratio of perimeters, 4 + 3 + 5 = 12, is equal to the ratio of corresponding sides, 6 + 4 + 5 = 15. So, the statement that the ratio of perimeters is equal to the ratio of corresponding sides is true.
The ratio of areas can be calculated by squaring the ratio of corresponding sides. So, the ratio of areas for the original right triangle will be (6 * 8) = 48 and for the similar triangle it will be (3 * 4) = 12. The ratio of areas, 48:12, simplifies to 4:1, which is indeed the square of the ratio of corresponding sides, 15:3.
Susie bought 4 3/4 pounds of cherries at the store. She ate 5/8 of a pound on the way home.
How many pounds of cherries does Susie have left?
Enter your answer in the box as a mixed number in simplest form.
Round 38,237 to nearest ten thousand
Ken went to the store for his mother. He spent $2.37 on groceries. In addition, his mother said he could spend $0.35 on candy. What was his change from a five dollar bill? Enter one digit in each box below.
$[______] [______] [_____]
2.37 + 0.35 = 2.72 total spent
5.00 - 2.72 = $2.28 change back
The circle in the diagram is moved from Quadrant IV to the shaded region in Quadrant II. How does this affect the probability that a dart that hits the rectangular region lands in the circle?
The probability that a dart hits the circle when moved from Quadrant IV to Quadrant II stays the same if the size of the circle and the rectangular region remain unchanged, as it is dependent on the area ratio of the circle to the rectangle.
Explanation:When the circle is moved from Quadrant IV to the shaded region in Quadrant II, the probability that a dart hitting the rectangular region lands in the circle depends on whether the size of the circle or its position relative to the overall dartboard (the rectangle) changes. The probability is determined by the ratio of the area of the circle to the area of the rectangle. If the circle remains the same size and merely shifts positions, the probability does not change. However, if moving the circle changes its size or if it overlaps differently with the rectangular region, then the probability will be affected. To calculate the probability, you would divide the area of the circle by the area of the rectangle. Provided there are no changes to the size of the circle or rectangular area, the probability remains constant despite the move.
which is true about the functional relationship shown in the graph
Answer:
D) it shows the functional relationship , the cost of the apples is a function of weight.
Step-by-step explanation:
Given : Graph between cost of the apples and the weight of apples.
To find : Which is true about the functional relationship shown in the graph.
Solution : We can see from the graph is showing the relation between cost of an apple and weight of apple .
Therefore, D) it shows the functional relationship , the cost of the apples is a function of weight.
Four gallons of gas cost $16.80. what is the unit rate?
The speed of light is 3 x 10^8 meters/seconds. If the sun is 1.5 x 10^11 meters from earth, how many seconds does it take light to reach the earth? Express your answer in scientific notation.
The sunlight takes about 8 minutes and 20 seconds to reach earth.
We have given that,
The speed of light is 3 x 10^8 meters/seconds.
D = r x t distance is equal to the rate of speed multiplied by time.
What is the formula for time?Thus t = d ÷ r
This is the relationship we'll use to solve this problem.
Now, let's organize our data
r = 300,000,000 m/s
Let's write this using scientific notation
r = 3 x 108 m/s
d = 1.5 x 1011 m
t = d ÷ r ⇒ t = 1.5 x 1011 ÷ 3 x 108 or
t = 0.5 x 103
That is 500 seconds or about 8.3 minutes so basically the answer is the sunlight takes about 8 minutes and 20 seconds to reach earth.
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What is the justification for each step in solving the inequality?
−5(4x+6)<−18x+6+4x
Select from the drop-down menus to correctly justify each step. *Answer choices are in parentheses*
−5(4x+6)<−18x+6+4x Given
−20x−30<−18x+6+4x (Combine like terms) (Distributive Property) (Subtraction Property of Order)
−20x−30<−14x+6 Combine like terms
−6x−30<6 (Addition Property of Order) (Division Property of Order) (Multiplication Property of Order)
−6x<36 (Addition Property of Order) (Division Property of Order) (Multiplication Property of Order)
x>−6 Division Property of Order
Answer:
Step-by-step explanation:
−5(4x 6)<−18x 6 4x given
−20x−30<−18x 6 4x distributive property
−20x−30<−14x 6 combine like terms
−6x−30<6 addition property of order
−6x < 36 addition property of order
x>−6 division property of order
Molly buys a scooter for $26.99. Robert buys a basketball for $12.89. How much more does Molly spend more money than Robert?
Select the best answer for the question. 3. 9⁄11 = ?⁄22 A. 9 B. 4 C. 12 D. 18
Select the sets that are not functions.
Choose all that apply.
A = {(1, 2), (2, 3), (3, 4), (4, 5)}
B = {(1, 2), (2, 1), (3, 0), (4, -1)}
C = {(-1, 3), (0, 3), (1, 3), (2, 3)}
D = {(1, 1), (1, 2), (1, 3), (1, 4)}
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
Answer with Step-by-step explanation:
A function is a map from a set A to another set B such that
the image of any point in a has a unique image in set B.
A = {(1, 2), (2, 3), (3, 4), (4, 5)}
It is a function since image of 1,2,3 and 4 is unique.
B = {(1, 2), (2, 1), (3, 0), (4, -1)}
It is a function since image of 1,2,3 and 4 is unique.
C = {(-1, 3), (0, 3), (1, 3), (2, 3)}
It is a function since image of -1,0,1 and 2 is unique.
D = {(1, 1), (1, 2), (1, 3), (1, 4)}
It is not a function since image of 1 is not unique.
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
It is not a function since image of 6 is not unique.
Hence, sets that are not functions are:
D = {(1, 1), (1, 2), (1, 3), (1, 4)}
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
round 0.05468 to 2 significant figures
please explain.
Period 1 has 15 students in it and a test average of 86%. Period 2 has 21 students in it and an average of 88%. Period 3 has 12 students in it and an average of 95%. Use weighted means to find the overall average of the classes
Answer:
The overall average of the classes is 89.125%
Step-by-step explanation:
For calculate the average of the class using weighted means, it is necessary to take into account the number of students of every period. So, the average can be calculated as:
[tex]Average =\frac{(x_1*a_1) +( x_2*a_2) + (x_3*a_3)}{x_1 + x_2 + x_3}[/tex]
Where is[tex]x_1, x_2[/tex] and [tex]x_3[/tex] are the number of students for period 1 , 2 and 3 respectively and [tex]a_1, a_2[/tex] and [tex]a_3[/tex] are the average of period 1, 2 and 3 respectively.
Replacing the values of x1 by 15 students, x2 by 21 students, x3 by 12 students, a1 by 86%, a2 by 88% and a3 by 95%, we get:
[tex]Average = \frac{(15*86)+(21*88)+(12*95)}{15+21+12}[/tex]
Average = 89.125%
So, using weighted means, the overall average of the classes is 89.125%
The area of a circular place is 45 square inches. Estimate the radius to the nearest integer.
The rate 165 ounces and 11 boxes describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
11 ounces per box
12 ounces per box
15 ounces per box
16 ounces per box
Answer:11 boxes
Step-by-step explanation:
It took a cheetah 45 minutes to run from Jungle A to Jungle B. The average speed for the trip was 80 km/h. Find the distance between the two jungles.
Total distance cover from Jungle A to B is 60 km
Given that;
Time taken to cover distance = 45 minutes
Speed of trip = 80 km/h
Find:
Total distance cover from Jungle A to B
Computation:
Distance = Speed × Time
Total distance cover from Jungle A to B = Time taken to cover distance × Speed of trip
Total distance cover from Jungle A to B = [45/60] × 80
Total distance cover from Jungle A to B = [0.75] × 80
Total distance cover from Jungle A to B = 60 km
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Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Jocelyn has 6 birds. Their mean age is 10. The mode is 8. What might their ages be?
total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
you check the 2nd case