Answer:
y = 13x ; and y = 12.75x
Explanation:
The rate of change is another name for slope. To find the slope of Relationship B, we use the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Using the first two points, we have
m = (50-25)/(4-2) = 25/2 = 12.5
This means that anything with a rate of change greater than 12.5 works in this problem.
The equations listed for Relationship A are in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in all of these, b = 0).
In the first equation, m = 13; in the second equation, m = 11.5; in the third equation, m = 12.75; and in the fourth equation, m = 12.25. The only ones with higher slopes than Relationship B are the first and the third one.
can anyone get this answer
The sum of three numbers is 87. The third number is 2 times the second. The first number is 7 more that the second. What are the numbers?
The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are there? a. 549 b.390 c. 280 d. 56
If y=x+5 were changed to y=x+9 how would the graph of the new function compare with the first one
David took his family out for dinner. He planned to leave a 20% gratuity on the bill. What is the total cost if the bill was $125.00?
use distribution property in reverse to factor out the common term
5x+5
Kyle wants to find the equation of the line that passes through the points (1, –7) and (–1, 1) . Which set of calculations will help Kyle find the equation of the line?
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
x=4_____________________________________________________________________________________________________
How does alternate freezing and thawing of water cause weathering to occur?
How does alternate freezing and thawing of water cause weathering to occur? Freezing chemically alters the rock surfaces Water expands when it freezes and cracks rocks open Thawing causes rock particles to move from place to place. User is waiting for your help.
Jaime wrote 4.4 - 0.33 = 1.1. Is his answer reasonable? Why or why not ( PLEASE HELP ME )
if you know 8×10=80, what other related multiplication fact do you know?
35 birds to 45 birds?
What integer represents a gain of 8 yd
A total of 8,644 people went a football game 5,100 sat on the home side rest sat on visitors side if people on visitors side filled 8 equal sections how many people sat in each sections
Answer: 443 each row
Step-by-step explanation:its simple u can find out how many people sat on the vistor side (which was 3544) and divide that by 8 sfn u get ur answer think about it next time bud!
Ana runs 3/4 miles in 6 minutes or 1/10 hour. What is her spores in miles per hour?
(12x-32) factored using GCF
PLZ HELP NOWWWWWW!!!!!!(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
Answer: 5 units.
Step-by-step explanation:
Given : Line segment EF has a length of 5 units. (1)
It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.
Thus, The length of E'F'=EF [∵E'F' is the image produced after translation of EF]
⇒ Length of E'F'= 5 units. [From (1)]
Find the unknown side length for the triangle.
Area = 18 ft²
A. 1.5 ft
B. 3 ft
C. 6 ft
D. 9 ft
Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
a reflection over the y-axis and a translation 4 units up
a reflection over the y-axis and a translation 4 units down
a reflection over the x-axis and a translation 4 units up
a reflection over the x-axis and a translation 4 units down
Answer:
(c) a reflection over the x-axis and a translation 4 units down
Step-by-step explanation:
I took a quiz with this question :) Happy Halloween
What is the multiplier for 3/10=15/50
The multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fraction is 3/10
And the fraction of 3/10 is equivalent to the 15/50
3/10 = 15/50
On the left side multiply by 5 on the numerator and denominator.
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
= (3/10)(5/5)
= 15/50
Thus, the multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?
Answer:
y=-15x+40
Step-by-step explanation:
30 in 2 hours
-15 per 1 hour=15-40
takes away 15 each hour until he covers 40 miles
Which is the best definition of a quadrilateral?
A.
a 4-sided polygon with no equal sides
B.
a parallelogram with no equal sides
C.
a 4-sided polygon
D.
a parallelogram with 2 pairs of equal angles
Find (7 × 10^5) + (2 × 10^3).
A) 7.002 × 10^3
B) 7.002 × 10^5
C) 7.02 × 10^3
D) 7.02 × 10^5
To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.
Explanation:To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:
7 × 10^5 = 700,0002 × 10^3 = 2,000Adding the two numbers:
700,000 + 2,000 = 702,000
Now, we need to convert 702,000 back into proper scientific notation. To do this:
Find the first non-zero digit from the left, which is 7.Write it down, followed by a decimal point and the rest of the significant figures, which results in 7.02.Count the number of places the decimal point was moved to the left, which is 5. This is the exponent of 10 needed.Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:
(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,
so the correct choice is D) 7.02 × 10^5.
One integer is eight less than another integer. The sum of the two integers is fifty. What are the integers?
Answer:
x+x-8=50
2x=58
x=29
x=21
Step-by-step explanation:
x+x-8=50
2x=58
x=29
x=21
hope this helps have an amazing day :)
Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you can make so that there are equal numbers of bananas in equal number of apples in each fruit basket how many bananas and apples will be in each fruit basket
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
The gas mileage of Ms. Gonzalez's car is 48 miles per gallon. Therefore, the correct answer is B. 48 miles per gallon.
To find the gas mileage of Ms. Gonzalez's car, we divide the total distance travelled by the amount of gas consumed.
Given:
- Total distance travelled = 420 miles
- Amount of gas consumed = 8 3/4 gallons
To find the gas mileage, we divide the total distance by the amount of gas:
[tex]\[ \text{Gas mileage} = \frac{\text{Total distance}}{\text{Amount of gas consumed}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420}{8 \frac{3}{4}} \][/tex]
To divide by a mixed number, we first convert it to an improper fraction:
[tex]\[ 8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \][/tex]
Now, we can perform the division:
[tex]\[ \text{Gas mileage} = \frac{420}{\frac{35}{4}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420 \times 4}{35} = \frac{1680}{35} \][/tex]
[tex]\[ \text{Gas mileage} = 48 \text{ miles per gallon} \][/tex]
Rounded to the nearest mile per gallon, the gas mileage is 48 miles per gallon.
So the correct answer is: B. 48 miles per gallon.
Complete Correct Question:
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
A. 43 miles per gallon
B. 48 miles per gallon
C. 49 miles per gallon
D. 50 miles per gallon
What is the value of m? 12+(7+m)=30 Drag and drop the correct answer in the box.
Answer:
11
Step-by-step explanation:
12+(7+m)=30
12+7=19
30-19=11
m=11
the manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $3.50 per pound and there is to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of tge earl grey tea and orange pekoe tea are required
Final answer:
To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, set up a system of equations based on the given information. Solve the equations to find the values of x and y.
Explanation:
To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, we can set up a system of equations based on the given information.
Let x be the number of pounds of Earl Grey tea, and let y be the number of pounds of Orange Pekoe tea.
We know that the selling price of the new blend is $3.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types.
This means that the revenue from selling the Earl Grey tea and Orange Pekoe tea separately should be the same as the revenue from selling the new blend.
The revenue from selling the Earl Grey tea is 4x, and the revenue from selling the Orange Pekoe tea is 2y. So we have the equation 4x + 2y = 3.50 ×400.
We also know that the total weight of the new blend is 400 pounds, so we have the equation x + y = 400.
We can solve these two equations to find the values of x and y.
-2(u+3)-5u
use distributive property to simplify
A fruit basket contains oranges and grapefruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket?
Please help!