Baxter runs ¾ the length of the backyard every ½ of a minute. Enter the number of lengths of the backyard Baxter runs per minute.
Answer:
Baxter runs 3/2 lengths of the backyard per minute.
Step-by-step explanation:
The question is asking how many times Baxter runs the length of the backyard per minute. We know that he runs 3/4 of the backyard every 1/2 of a minute. This means that he runs 6/4 (simplified to 3/2) per minute.
During the basketball season, Cory made 21 of the 60 baskets she attempted. Krista made 16 out of 40 baskets she attempted. Paul made 17 of the 50 baskets she attempted and Sally 11 of the 55 she attempted. Who had the greatest percentages of baskets made?
Given:
Cory made 21 of the 60 baskets she attempted.
Krista made 16 out of 40 baskets she attempted.
Paul made 17 of the 50 baskets she attempted.
Sally 11 of the 55 she attempted.
To find:
Who had the greatest percentages of baskets made?
Solution:
We know that,
[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]
Using this formula, we get
[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]
[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]
[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]
[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]
From the above percentages 40% is maximum.
Therefore, Krista has greatest percentage of baskets made.
Clara and Toby are telemarketers.
Yesterday, Clara reached 4 people in 10 phone calls, while Toby reached 3 people in 8 phone calls.
If they continue at those rates, who will reach more people in 40 phone calls?
Answer:
Toby will reach more people in 40 phone calls
find the value of x
Answer: 105
Step-by-step explanation: 105 because all angles add up to 180
PLEASE HELP!
Model the data in each table with a linear equation in slope-intercept form. Then tell what the slope and y-intercept represent.
Answer:
2
3
RESULT
In the slope-intercept form you use the slope of the line and the y-intercept to express ... The m-value, the slope, tells us that for each step to the right on the x- axis we move 2 ... the origin has a y-intersect of zero, b = 0, and represents a direct variation. ... form · Parallel and perpendicular lines · Scatter plots and linear models.
The required equation that models the data in the table is y = -12x + 80, where the y-intercept represents the initial volume of the paint, the slope is the rate of paint consumed per day.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
The standard equation of the line is given as,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the values in the above equation,
y - 56 = [(44 - 56)/3 - 2)](x - 2)
y = -12[x - 2] + 56
y = -12x + 24 + 56
y = -12x + 80
Thus, the required equation that models the data in the table is y = -12x + 80, where the y-intercept represents the initial volume of the paint, and the slope is the rate of paint consumed per day.
Learn more about slopes here:
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Patrice and Arnold went to the bank together and checked their account balances Patrice's balance was - 55 and Arnold's was - 56 . Who has a greater debt? Explain using the concept of absolute value.
Answer:
Arnold has greater debt because he owes an extra dollar to the bank
Step-by-step explanation:
Find the average rate of change for the interval [-4, 0] for the function below
Answer Choices
A. 3/4
B. -4/3
C. 4/3
D. -3/4
Answer:
The average rate of change of the function for the interval [-4, 0] is [tex]\frac{3}{4}[/tex] ⇒ A
Step-by-step explanation:
The average rate of change of the function is the slope of the line that represents the function, m = Δy/Δx, where
Δx = (x2 - x1)Δy = (y2 - y1)From the given figure
→ The values of x in the interval [-4, 0] are -4 and 0
∵ The point (-4, 0) and (0, 3) lie on the line
∴ x1 = -4 and x2 = 0
∴ x2 = 0 and y2 = 3
∵ Δx = 0 - (-4) = 0 + 4 = 4
∵ Δy = 3 - 0 = 3
→ By using the rule of the slope above
∴ m = [tex]\frac{3}{4}[/tex]
∵ The average rate of change of the function = the slope of the line
∴ The average rate of change of the function for the interval [-4, 0] is [tex]\frac{3}{4}[/tex]
Given the following equation, determine the solutions when y=0 for the function: y=(x+4)(x-3)
Answer:
x=-4 and x=3
Step-by-step explanation:
If y=0, then we use the Zero Product Property:
0=(x+4)(x-3)
x+4=0
x=-4
x-3=0
x=3
Alaina surveyed students on her bus about their homework.The results are shown in this two-way table. Student Homework Last Night Responses Had Homework 8 Did Not Have Homework 4 Alaina used this data to design a spinner with 6 congruent sections that predicts whether a randomly selected student had homework last night. How many sections of Alaina’s spinner represent students who did not have homework? 2 4 6 8
Answer:
2
Step-by-step explanation:
Answer: 2
I got it right on ed
Retail Sales: HELP! 15 POINTS AND BRAINLIEST
Suppose you have a $5-off coupon at a fabric store. You buy fabric that costs $7.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Answer:
7.5x-5 is equation for graph :)
BRAINLIEST PLEASE
Step-by-step explanation:
At 5:00 pm a thermometer shows an outside temperature of 2° F. Then, over the next three hours, the temperature drops 11° F. What integer represents the thermometer reading, in degrees, at 8:00 pm?
Giving brainliest to the most helpful, for 50 points, find each probability using the table (table is linked)
The table below shows the fate of the first, second, and third class passengers on the titanic.
1. p(a 3rd class survivor)
2. p(1st class | died)
3. p(survived | 2nd class)
4. p(1st or 3rd class | survived
Answer:
Hope this helps!!
Step-by-step explanation:
Answer:
1. 43/325
2. 30/203
3. 117/272
4.371/488
Step-by-step explanation:
1. p(a 3rd class survivor)
172 2nd class out of total
2. p(1st class | died)
given that they died there are 120 people in first class out of all the people who died
3. p(survived | 2nd class)
how many people survived given they were second class is 117 out of 272 peple in 2nd class
4. p(1st or 3rd class | survived
given that they survived (488) there are 371 people in first and third class so 371/488
Please help!! this is due today!!
PLEASE HELP! Will mark brainliest
Answer:
The square root of 65
Step-by-step explanation:
Using the formula A squared B squared = C Squared
Thus, c equals the square root of 65
Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the rental
Answer:
9
Step-by-step explanation:
9x2 is 18, so he can rent a bike for nine days if the rent is $2
solve the system of equations X-Y = -12 and -8x-4y=-12 by combining the equations
Answer:
x = -3
y = 9
Step-by-step explanation:
you can add the equations after multiplying the first one by 8
8x - 8y = -96 added to -8x - 4y = -96
'x' eliminated; -12y = -108; y = 9
Solve for 'x':
x - 9 = -12
x = -12 + 9
x = -3
Anyone who’s good at trigonometry?
Answer:
Step-by-step explanation:
u know the sinus theorem for the area of a triangle
u can search it sinus theorem triangle
for the solution:
12.4/sin(74)=y/sin(39)
y=7.85 cm
Answer:
Length y is 8.12cm
Step-by-step explanation:
Use the law of sines.
[tex]\frac{sin(a)}{A} =\frac{sin(b)}{B}[/tex] ⇒[tex]\frac{sin(39)}{y} =\frac{sin(74)}{12.4}[/tex]
[tex]y(\frac{sin(39)}{y}) =y(\frac{sin(74)}{12.4})[/tex]
[tex]sin(39)=y(\frac{sin(74)}{12.4})[/tex]
[tex]y=\frac{sin(39)}{sin(74)/12.4}[/tex]
[tex]y=\frac{12.4*sin(39)}{sin(74)}[/tex]
y=8.118052433 if you don't round.
he heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F
Answer:
B. 68.5 & 76.5
Step-by-step explanation:
In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.
Is the relationship for Camille’s puppies weight in terms of linear or nonlinear
HELP!!!!!!!!!!!!!
Merry Christmas btw
Answer:
b
Step-by-step explanation:
subtract 6 then multiply both sides by 2.5 which cancels out on the left side and turns the right side to -75.
Hope this helps and Merry Christmas! :)
Answer:
B :)
Step-by-step explanation:
Peter left city a at 9:00 am towards city b at an average speed of 50 mph. Thirty minutes later Emily also leaves city a towards city b. What should be the average speed of Emily if she has to catch-up with peter at 11:30 am?
Answer:
62.5 mph
Step-by-step explanation:
Given that :
Peter :
Speed = 50mph
Start Time = 9 a. M
Emily :
Start time = 9:30
Speed = x
In other to catch up at 11:30 :
Peter (11:30 - 9:00) = 2hours 30 minutes = 2.5 hrs
Total distance moved by Peter :
Speed * time = 50 * 2.5 = 125miles
For Emily to cover 125 miles in (11:30 - 9:30) = 2 hours
Speed = distance / time
Speed = 125 miles / 2 hours
Speed = 62.5 miles per hour
Find the unit rate. Round to the nearest hundredth, if necessary. $120 for 18 ft2
Answer:
no
Step-by-step explanation:
Maria lives in England, where the currency used is British pounds. Maria received a gift that was worth 90 US
dollars. At the time she received the gift, 1 US dollar was equivalent to 0.71 British pounds. Which of the
following is closest to the number of British pounds the gift was worth?
A 19
B
64
5
С
127
D
154
Answer:
B
Step-by-step explanation:
I just looked up how much is 90 dollars is worth in England and it said "67.59 Pound sterling". So 64 is the closest
What is the value of e in the equation?
8(10 - 3) = 2e + 6
A.4
B.25
C.50
D.2
Answer:
b. 25
Step-by-step explanation:
you have to do parenthesis first. so 10-3 =7. 7 x 8 = 56
2×25=50 + 6 would equal 56
so, e = 25
Which expression is equivalent to 4.8 – 2.2w + 1.4w – 2.4 ?
Answer:
B) 0.4 (6 - 2w)
Step-by-step explanation:
You can only add or subtract with the numbers that have the same variable:
You can only add -2.2w and 1.4w
Which is -0.8w
Then add 4.8 and -2.4
Which is 2.4
Now the equation is -0.8w+2.4 or 2.4-0.8w
0.4 times 6 is 2.4
0.4 times 2w is -0.8w
Which is the same
-0.8w+2.4 or 2.4-0.8w
Hope this helps!
What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form.
The area of the right-angle triangle will be 1/18 square inches.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as,
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
The height of the right-angle triangle is 1/6 inch. And the base length of the right-angle triangle is 2/3 inches. Then the area of the right-angle triangle is given as,
A = (1/2) x (1/6) x (2/3)
A = 2 / 36
A = 1/18 square inches
The area of the right-angle triangle will be 1/18 square inches.
More about the area of the right-angle triangle link is given below.
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how many cups each holding 250ml can be filled from a 2 litre bottle of juice
Answer:
25 glasses
Step-by-step explanation:
5log5 (17)What the steps to this problem because I don’t understand
Answer:
8.80
Step-by-step explanation:
u can use a calculator
Mark bakes 73 cookies for the bake sale. Ann bakes 242 cookies. How many cookies did they bake altogether?
Answer: 315 cookies
Step-by-step explanation: 73+242 = 315
Answer: 315
Step-by-step explanation: 73+242=315
A video game customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Find the number of video games a customer would have to rent in a year in order for the two options to be equal
Given:
A video game customers to rent games for $4.75 each.
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each.
To find:
The number of video games a customer would have to rent in a year in order for the two options to be equal.
Solution:
Let x be the number of video games.
A video game customers to rent games for $4.75 each. So, the total cost is
[tex]C_1(x)=4.75x[/tex]
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is
[tex]C_2(x)=54+2.50x[/tex]
Now, [tex]C_1(x)=C_2(x)[/tex], if the rent in a year for the two options to be equal.
[tex]4.75x=54+2.50x[/tex]
[tex]4.75x-2.50x=54[/tex]
[tex]2.25x=54[/tex]
Divide both sides by 2.25.
[tex]x=\dfrac{54}{2.25}[/tex]
[tex]x=24[/tex]
Therefore, the rent in two options are equal for 24 video games.