Given condition is:
A sloth moves in one hour = [tex]\frac{250}{5/8}[/tex]
[tex]\frac{5}{8}=0.625[/tex]
So, a sloth moves in one hour = [tex]\frac{250}{0.625}=400 units[/tex]
Hence, in 60 minutes a sloth moves = 400
In 1 minute sloth will move = [tex]\frac{400}{60}[/tex]
In 90 minutes it will move = [tex]\frac{400}{60}\times90=600[/tex]
The answer is 600 units.
Answer:
A sloth can move 600 units in 90 minutes.
Step-by-step explanation:
The problem says that if you divide 250 in [tex]\frac{5}{8}[/tex] you obtain how far a sloth move in one hour, then:
[tex]250:\frac{5}{8}=\frac{250.8}{5}= \frac{2000}{5}=400[/tex]
A sloth moves 400 units in one hour (60 minutes).
We can use a rule of three,
400 units ⇒ 60 minutes
x ⇒ 90 minutes
[tex]x=\frac{90.400}{60} \\\\x=\frac{36000}{60}\\\\x=600[/tex]
A sloth can move 600 units in 90 minutes.
The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph? The change in the y-values is 40 and the change in the x-values is 1. The change in the y-values is 1 and the change in the x-values is 40. The change in the y-values is 150 and the change in the x-values is 2. The change in the y-values is 190 and the change in the x-values is 3.
Answer:
Option A is correct.
Change in the y-values is 40 and the change in x-values is 1.
Step-by-step explanation:
Let x represents the time in minutes and y represents the temperature(in Fahrenheit).
Given two points on the line graph i.e,
[tex]A(x_1, y_1)= (2 , 150)[/tex] and [tex]B (x_2, y_2)= (3, 190)[/tex]
we have to find the change in the y-value and x-value on the graph:
Change in the x-values for the given points is;
[tex](x_2 - x_1)[/tex] = 3 - 2 = 1
Similarly,
Change in the y-values for the given points is;
[tex](y_2 - y_1)[/tex] = 190-150 =40.
Since, the slope or the rate of change of the given line graph is the ratio of the change in the y-value over the change in the x-value i.e, slope = 40.
Therefore, change in the y-values is 40 and the change in x-values is 1.
Answer:
Option A
Step-by-step explanation:
edge 2021
Serena paid a tax of $288 on a house assessed at $48,000. Using the same tax rate, find the tax on a house assessed at $59,000.
Set up a proportion:
$288/$48000 = x/$59000
Cross multiply
16992000 = 48000x
x = 354
The tax on the $59000 house was $354
To find the tax on a house assessed at $59,000 using the same tax rate, we can set up a proportion and solve for the unknown tax value.
Explanation:To find the tax on a house assessed at $59,000 using the same tax rate, we can set up a proportion. The tax paid by Serena is $288 and the house assessed value is $48,000. Let's call the tax on the house assessed at $59,000 as 'x'. The proportion will be:
$$\frac{288}{48000} = \frac{x}{59000}$$
Cross multiplying, we get:
$$288 \times 59000 = 48000 \times x$$
Simplifying, we find:
$$x = \frac{288 \times 59000}{48000}$$
Using a calculator, we can evaluate this to find the tax on a house assessed at $59,000.
Learn more about Finding tax on a house here:
https://brainly.com/question/33665763
#SPJ2
what is 5/7-(-1/7) as a fraction?
The value of 5/7-(-1/7) is 6/7.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
5/7-(-1/7)
Now, solving the fraction
= 5/7-(-1/7)
= 5/7 + 1/7
= 6/7
Hence, the value is 6/7.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
2 questions NEED ANSWERS ASAP!!
1. 5 2/3 - 4 5/9
a. 1 1/9
b. 8/9
c. 1 1/2
d. 3/4
2. Mai- Li has 6 1/3 yd of material. Her new skirt will take 2 1/3 yd. how much material will she have left after the skirt is made?
a. 8 yd
b. 8 2/3 yd
c. 4 yd
d. 12 2/3 yd
thank you so much if you respond ! really would appreciate it ! ASAP
what kind of problems need two operations
A city library has 9440 non-fiction books The Librarian wants to divide the books evenly among easy 80 shelves How many books will be on each self
118 book on each shelf 9440 divided by 80=118
Answer: There are 118 books on each shelf.
Step-by-step explanation:
Since we have given that
Number of non fiction books a library has = 9440
Number of shelves = 80
So, Number of books on each shelf would be
[tex]\dfrac{\text{Number of non fiction books}}{\text{Number of books on each shelf}}[/tex]
[tex]\dfrac{9440}{80}\\\\=118[/tex]
Hence, there are 118 books on each shelf.
Marco earns $36.50 per hour as an accountant show that the relationship between that amount he earns and the number of hours he works is a proportional relationship. Then write an equation for the relationship. If he works 8 hours a day how much does he earns in a 5-day work week
Multiply 36.50 by 8 and then multiply that answer by 5 to get your answer
$1,460 a week
36.50 by 8 multiply the answer by 5 to get your answer $1,460 a week
a remote control truck can travel 20 feet in 3 seconds.what is trucks speed in miles per hour
1 hour = 3600 seconds
Calculate feet per hour first:
3600 seconds / 3 = 1200
1200 x 20 feet = 24,000 feet in 1 hour
1 mile = 5280 feet
Calculate miles per hour:
24,000 / 5280 = 4.54 miles per hour.
Round the answer as needed.
A function is a special kind of relation in which each value of the input variable is paired with exactly __________ value(s) of the output variable.
Answer: One
Why? In math a function is something that works and is paired with exactly one input value and one output value.
Shannon is making identical balloon arrangements for a party she has 24 white balloons and 60 blue balloons she wants to arrangement to have the same number of each color what is the greatest number of Arrangements that she can make and every balloon is used
12 of each color will be used.
hope it helps
Answer: There are 12 greatest number of arrangements that she can make and every balloon is used.
Step-by-step explanation:
Since we have given that
Number of white balloons = 24
Number of blue balloons = 60
We need to find the greatest number of arrangements that she can make and every balloon is used.
So, For greatest number of arrangements we will find H.C.F.
So, H.C.F. of 24 and 60 = 12.
Hence, there are 12 greatest number of arrangements that she can make and every balloon is used.
Blue Sky International Airport handles passenger to cargo traffic in a ratio of 8 to 5. If 45 cargo planes landed yesterday, how many passenger flights came in?
Answer:
A total of 72 passenger planes came in yesterday.
Explanation:
Blue Sky International Airport handles passenger to cargo traffic in a ratio of 8 to 5.
Number of cargo planes landed yesterday = 45
Number of passenger planes landed = [tex]\frac{8}{5}[/tex] x Number of cargo planes landed.
Number of passenger planes landed yesterday = [tex]\frac{8}{5}[/tex] x 45
= 8 x 9
= 72 passenger planes.
So a total of 72 passenger planes came in yesterday.
Danny volunteered to sell 372 refreshments.he help for 3 hours if he sold an equal amount in an hour each hour how many did he sell each hour
Answer:
Danny should have sold 124 refreshments every hour for the 3 hours that he helped sell.
Step-by-step explanation:
what is 3×9-10÷2 please help
3x9-10/2
First take mind of PEMDAS
First multiply 3x9
27-10/2
now divide 10 by 2
27-5
22
so 3x9-10/2=22
please number 13 and 15
13.
y - the amount from the sale
x - a number of tickets
y = 5x + 40
Domain: x ∈ {0, 1, 2, 3, 4, 5}
Range = {40, 45, 50, 55, 60, 65}
15.
y - the cost of renting a law firm
x - a number of hour
y = 100x + 300
Domain: x ∈ {1, 2, 3}
Range = {400, 500, 600}
Find the complete factorization of the expression. 32xy − 56xyz A) 8xy(4 − 7z) B) −8xy(4 + 7z) C) xy(32 − 56z) D) 8(4xy − 7xyz) Submit
What are a , b , c , d and e ?
a. m<5=40° (Given)
b. m<2=140° (Given)
c. <5 and <2 are supplementary angles
Because they add 180°: <5+<2=40°+140°=180°
d. <5 and <2 are same-side interior angles
You can see it in the graph
e. a // b
Because they are same-side interior angles and they are supplementary angles, the lines a and b must me parallels.
Suppose the sun casts a shadow off a 35-foot building. If the angle of elevation to the sun is 60°, how long is the shadow to the nearest tenth of a foot?
Final answer:
To find the length of the shadow cast by a 35-foot building with a 60° angle of elevation to the sun, we can use trigonometry. The shadow is approximately 60.6 feet long.
Explanation:
To find the length of the shadow, we can use the concept of trigonometry. In a right triangle, the opposite side is proportional to the shadow length and the adjacent side is proportional to the height of the building. Using the angle of elevation of 60° and the height of the building as 35 feet, we can set up the trigonometric equation as follows:
tan(60°) = x/35
Solving for x, we get x = 35 * tan(60°) = 60.6 feet. Therefore, the shadow is approximately 60.6 feet long to the nearest tenth of a foot.
If elephant grass grows 2 2/3
inches a day, how many inches will it grow in 4 days?
In 4 days it will be 10 and 2/3
To find out how many inches elephant grass will grow in 4 days, multiply the daily growth rate by the number of days. The elephant grass will grow approximately 10 2/3 inches in 4 days.
Explanation:To find out how many inches of elephant grass will grow in 4 days, we need to multiply the daily growth rate by the number of days. The daily growth rate is 2 2/3 inches. To convert this mixed number to an improper fraction, we multiply the whole number (2) by the denominator (3), which gives us 6. Adding the result to the numerator (2), we get 8. So the daily growth rate is 8/3 inches.
Next, we multiply the daily growth rate by the number of days: 8/3 * 4 = 32/3 inches. To simplify this fraction, we divide the numerator (32) by the denominator (3), which equals 10 with a remainder of 2. So the elephant grass will grow approximately 10 2/3 inches in 4 days.
Learn more about Growth rate of elephant grass here:https://brainly.com/question/32825785
#SPJ2
what is the difference in length between a 1 1/4 inch button and a 3/8 inch button?
Find the y-intercept and the slope for the line. -2x+6y=5
Write your answer in simplest form
Y intercept means the y-coordinate of the point where the graph crosses the y-axis.
Given equation is:
[tex]-2x+6y=5[/tex]
Let x be 0, as at the y-intercept point, the x-coordinate of that point is always 0.
[tex]-2(0)+6y=5[/tex]
[tex]6y=5[/tex]
y=[tex]\frac{5}{6}[/tex]
Slope-intercept form is y = mx + b
where m is the slope of the line and b is the y-intercept of the line {the number without a variable}
-2x+6y = 5
6y = 2x+5
y= [tex]\frac{2x}{6}+\frac{5}{6}[/tex]
Hence, slope is [tex]\frac{2}{6}or\frac{1}{3}[/tex]
A VHS tape holds at most 360 minutes. A tape already has a 120 minute movie on it. How many 30 minute sitcoms can be recorded on the remaining tape?
There are 8 sitcoms that can be recorded on the remaining tape.
Explanation:To find out how many 30-minute sitcoms can be recorded on the remaining tape, we need to subtract the duration of the existing movie from the maximum capacity of the VHS tape. So, 360 minutes - 120 minutes = 240 minutes remaining. Since each sitcom is 30 minutes long, we can divide the remaining time by 30 to find out the number of sitcoms: 240 minutes ÷ 30 minutes = 8 sitcoms can be recorded on the remaining tape.
Learn more about Calculating number of sitcoms recorded here:https://brainly.com/question/22329404
#SPJ3
A volleyball team played five games, the team won by 7 points, lost by 3, lost by 2 , won by 4 and won by 9. What was the mean difference in scores over the five games.
The mean of a set of numbers is the average. In this problem, add all of the numbers together ( negative numbers for the losses) and then divide by the amount of games total.
Here are the numbers we have to use:
+7
-3
-2
+4
+9
the problem would be 7-3-2+4+9=15
Now divide 15 by your total amount of games which would be 5.
15/5=3
The average difference would be 3. Now a rule in math is to answer a word problem with a sentence.
The mean difference in scores over the five games played would be 3.
Hope this helps!
Answer:
3
Step-by-step explanation:
Given:
A volleyball team played five games, the team won by 7 points, lost by 3, lost by 2 , won by 4 and won by 9
To find : the mean difference in scores over the five games
Solution:
Mean basically refers to sum of all observations divided by number of observations.
The mean of scores over the five games refers to sum of all scores divided by 5.
Scores :
won by 7 points means + 7
lost by 3 means - 3
lost by 2 means - 2
won by 4 means + 4
won by 9 means + 9
Therefore,
sum of all scores = 7 - 3 - 2 + 4 + 9 = 15
Also, total number of games played by the team = 5
So, mean difference in scores over the five games = sum of all scores / total number of games played by the team = 15 / 5 = 3
Determine whether the following number sentences are TRUE or FALSE. Justify your answer 7+5+3+ x = x + 3 + 12
Answer:
The correct answer is TRUE
Step-by-step explanation:
First Combine like terms:
7+5+3+x = x+3+12
12+3+x = x+3+12
15+x=x+15
An angle is 68 degrees more than 3 times it’s supplementary angle find the measures of the two angles
28° and 152°
let the angle be x then supplementary angle = 3x + 68
Supplementary angles sum to 180° , hence
x + 3x + 68 = 180
4x + 68 = 180 ( subtract 68 from both sides )
4x = 112 ( divide both sides by 4 )
x = [tex]\frac{112}{4}[/tex] = 28
the angles are 28° and ( 3 × 28) + 68 = 84 + 68 = 152°
Alex and Max are playing a game with number cards. At the end of the game, Max still has 4 cards. If the value of each card is -35 points, How many points does Max have?
-140
Max has -140 points
75.602 to nearest tenth
75.6 will be the closest answer
Fill in the blank to make an equivalent ratio
What is 6.62 x 10 written in standard form?
A. 662
B. 33.1
C. 66,200
D. 662,000
The number 6.62 x 10 in standard form can be written as 66.2.
It is required to write 6.62 x 10 in standard form.
Standard form directly represents the number and scientific notation represents the number in the form of a number multiplied by the power of tens.
So, the given number can be written as,
[tex]6.62 \times 10=\dfrac{662}{100}\times 10\\=\dfrac{662}{10}\\=66.2[/tex]
Therefore, the number 6.62 x 10 in standard form can be written as 66.2.
For more details, refer to the link:
https://brainly.com/question/17992997
Which of the following is not a possible value for a probability
Answer:
11/10
Step-by-step explanation:
Please help and give an explanation.
Julie got 21 of the 23 questions on her math test correct. She got 29 of 32 quetsions her science test correct. On which test did she get a higher score? Can you compare the fractions 21/23 and 29/31 by comparing 29 and 21? Explain how can julie compare her scores?
Thank you for helping!
Hi,
Here is the solution...
We convert this fraction into percentage.
To convert the fraction into percentage, we need to multiply the fraction by 100.
Math test score = [tex]\frac{21}{23} *100 = \frac{2100}{23} = 91.30[/tex]%
Science test score = [tex]\frac{29}{32} *100 = \frac{2900}{32} = 90.63[/tex]%
Now you can compare the percentage.
Julie scored higher in Math test.
Hope you will understand the steps.
Thank you. :)