A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
Q15) 1.0 marks
Choose the missing term in the below series.
26, 37, 50, 65, 82, ?
Answer:
82
Step-by-step explanation:
Answer:
101
Step-by-step explanation:
from the first one to second one it goes up by 11 then 13 then 15 then 17 then 19
82+19=101
Helppp pleaseee I don’t understand
Answer:
I think it is all false. 45 minutes is 19 and 55 is 23
Tim is clearing brush from a large piece of land. The table shows how many acres he has cleared over time. Tim clears the same amount of brush each day.
Complete the table to determine how many days it will take Tim to clear 1 acre and how many acres Tim will clear in 8 days.
Use the drop down menus to select your answers.
Answer:
first box is 3 and second is 2 2/3
write the decimal 2.10 as a percent
Answer:
210%
Step-by-step explanation:
dat was too easy
Answer:
210% or 21% or 2.10%
its all about what 2.10 is out of (example: /1=210% /10= 21% /100=2.1%
edit: if your wondering what the "/" means it means " out of" (example: 1 out of 100 is 1%)
Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)
Answer:
[tex]\boxed{0}[/tex]
Step-by-step explanation:
x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)
x² = 0
x = 0
Answer:
t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h
Step-by-step explanation:
fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih
Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?
Answer:
The price would be $51.75.
Step-by-step explanation:
Since Joe is marking up by 15%, the price will increase for the pair of shoes. Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.
A rotating wind turbine has a diameter of about 145 feet and its circumference is about 456 feet. A smaller model of the turbine has a circumference of about 16 feet. What will the diameter of the model be? If necessary, round to the nearest whole number.
The diameter of the model will be about ___ feet
Answer:
ross-multiplication.
circumference divided by the diameter
10/x = 580/185
10x185=1850
1850/580=3.189
Step-by-step explanation:
give me brainliest
Answer:
7 feet.
Step-by-step explanation:
Solve
Set up a proportion using the given information for the turbine and its model.C /d =
C /d
Set up a proportion.660 /210 =
22/ d
Substitute the given values.660 ÷ 30
210 ÷ 30 ≈
22/ d
Since 660 divided by 30 is approximately 22, divide 210 by 30 to find the value of d.
660 /210 ≈
22/ 7
d ≈ 7
The diameter of the model is approximately 7 feet.
The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample.
what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.
Answer:
86.96%
Step-by-step explanation:
s2 = a2 / n
a2 = 4.34782608696 if just 1/1 flavour 400/400 was the case.
We are asked to account for 5 flavours 4.34782608696/5
Z test was 0.86956521739 for red candies
s2 = a2/n
a2 = 0.86956521739/1
s2 = 0.86956521739/1
s2 = 0.87 hundredth place
Percentage 0.86956521739 x 100 = 86.96% to 100th place
USA test prep please help
Answer: B
Step-by-step explanation: "Product" is the answer of a multiplication problem, "Reduced by" is to make smaller or less in amount, degree, or size.
Help me please I’m confused
Answer:
Its c
Step-by-step explanation:
The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?
Answer:
After using the coupon the price of the shirt would be $14.80
Step-by-step explanation:
To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80
whoever knows what 9+10 is i will reward them
Answer:
19
Step-by-step explanation:
Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the nearest hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )
Answer:
2.6667yd^3
Step-by-step explanation
Volume of the concrete = Length * width * height
Given
height = 6 inches
To yards;
1 in = 0.0277778yd
6 in = 6 * 0.0277778
6in = 0.1666668 yards
Width = 8 feet
Length = 6ft
LW = 48ft²
To yards;
1 ft = 0.333333yd
48 ft = 48(0.333333)
48 ft^ 2 = 15.999984yd^2
Volume = 15.999984 * 0.1666668
Volume = 2.6667 yd^3
Hence she will need 2.6667yd^3 concrete
Urgently need this my kid is confused and so am I.
The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?
Answer:
The other equation is [tex]x + y = 21[/tex]
The length and width are 13 and 8
Step-by-step explanation:
Given
[tex]Perimeter = 42[/tex]
[tex]y = x - 5[/tex]
Required
What is the other equation for the length and width?
x and y represents the length and width respectively.
The perimeter of a rectangle is calculated using:
[tex]Perimeter = 2 * (length + width)[/tex]
In this case, it is:
[tex]Perimeter = 2 * (x + y)[/tex]
Substitute 42 for perimeter
[tex]42 = 2 * (x + y)[/tex]
Divide through by 2
[tex]21 = x + y[/tex]
[tex]x + y = 21[/tex]
Required: The values of length and width
We have that:
[tex]y = x - 5[/tex]
[tex]x + y = 21[/tex]
Substitute x - 5 for y in the second equation
[tex]x + x - 5 = 21[/tex]
[tex]2x - 5 = 21[/tex]
Add 5 to both sides
[tex]2x - 5 + 5 = 21 + 5[/tex]
[tex]2x = 26[/tex]
Divide through by 2
[tex]x = 13[/tex]
Substitute 13 for x in [tex]y = x - 5[/tex]
[tex]y = 13 - 5[/tex]
[tex]y = 8[/tex]
Hence, the length and width are 13 and 8 respectively
I NEED HELP ASAP PLS
Answer:
2/3
Step-by-step explanation:
to move from one point to another (from left to right) you move up two and to the right 3
Answer:
The slope is 2/3
Step-by-step explanation:
The line goes up 2 points and to the right 3 points so if you do rise/run you get 2/3 as the slope.
20) Find the length of a side of a square with a
diagonal length of 100 cm.
Answer:
about 7.0710678cm
Step-by-step explanation:
it's a square so the sides are equal.
the diagonal is 100cm
This makes a right triangle with two sides
since the sides are equal, they both are equal to the square root of 50, which is half of 100
the square root of 50 is about 7.0710678cm
Sam is baking 10 pies for a school bake sale. He
uses 21 cups of apples for 6 pies. How many
cups of apples will he need in all? Explain
Answer:
Step-by-step explanation:
21/6 = 3.5. This means each pie requires about 3.5 cups of apples. So, 3.5x10 = 35 cups of apples needed overall
Answer:
35 cups of apples
Step-by-step explanation:
rlly need help plzzzzzz
Given f(x) = x², write the new equation of j(z) if j() = – 2f(x + 6) + 9. You do not need to simplify.
Answer:
gurl im sorry
Step-by-step explanation:
i dony know the answer im just here for points
Dwight's club has 35 members. Its
rules require that 60% of them must
be present for any vote. At leas how
many members must be present to have
a vote?
Answer:
21 memebers must be present
Step-by-step explanation:
First we have to convert the percent to decimal form for an easier calculation. Do this by taking 60 and dividing by 100.
You should get 0.60, now just multiply .60 by 35 and you'll get the answer of 21.
4x4xy+6/3
Please i will give brainliest
GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!
A restaurant surveyed consumers to determine if they like hot or cold beverages for breakfast. 60 consumers like hot beverages, and 40 like cold beverages, and 12 neither, how many consumers were surveyed
Answer:
112
Step-by-step explanation:
You just have to add all of those numbers
60 +40 =100
100 + 12= 112.
Answer:
92 people
Step-by-step explanation:
Since there is 20 people who liked both hot and cold beverages, we can subtract from the people who like hot beverages and people who like cold beverages to find the people who ONLY like hot beverages and the people who ONLY like cold beverages.
People who only like cold beverages:
40 - 20 = 20
People who only like hot beverages:
60 - 20 = 40
Summing it all up:
40 + 20 + 20 + 12 = 92 people total
I hope this helps! :)
Need help with this one will mark brainliest
Answer:
circle 3
Step-by-step explanation:
Which table represents a linear function?
it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line
Answer:
This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.
Find the unit rate. Round the nearest hundredth if necessary.
$420 for 15 tickets.
A. $28 per ticket
B. $0.04 per ticket
C. $405 per ticket
D. $840 per 30 tickets
Answer:
28 dollars per ticket
Step-by-step explanation:
just divide 420 by 15 to get 28
...............................
Answer:
What dose this mean
Step-by-step explanation:
Thx for the free points
Stacy invested $3400 at 18%
Answer:
So?
Step-by-step explanation:
A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.
Answer:
Each dose should be of 5.05 milligrams.
Step-by-step explanation:
To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.
Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).
Quinn is baking cookies for the bake sale at her school using her grandmother recipe. She uses 12.5 cups of flour to make 5 dozen cookies.
Find the constant of proportionality
the measure of the angle is..
Answer:
149
Step-by-step explanation:
149 and the angle beside b are supplementary (Let's call it A)
180-149=A=31
180-31=149
149=B