Hector is buying books at a bookstore.
*He buys 2 used books and 1 new book for $26.
*The new book costs $18.
If each used book cost the same amount, what is the price of each used book?
Answer:
if they both cost $26 then $52 if they both coast $18 then $36
Step-by-step explanation:
Answer:
(total price - price of 1 new book)÷number of used books
($26-$18)/2=4
Step-by-step explanation: sssniperwolf
you have approximately 1/4 of tank of gas.your tank holds 20 gallons.how much gas do you have left? if you plan to fill the tank,how many gallons will you purchase? if gas cost $21/2 per gallon,how much will it cost you to fill up
Step-by-step explanation:
if you have a quarter tank then what is empty is 15 gallons because 20*3/4=15
you now need to fill up the 15 gallons, if each gallon is 21/2 dollars then 15*21/2 should give us a price. 21/2=10.5
15 gallons*10.5 dollars=$157.5 for the final price
16 is 4670 of what number ?
Helppp
Answer:
16
Step-by-step explanation:
Hope this helps sorry if I'm wrong
Answer:
291.875
Step-by-step explanation:
16 x 291.875= 4670
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
Help please this is due soon
Answer:
3 hours
Step-by-step explanation:
The rate of lawn treatment is 75 lawns per 25 hours, which can be simplified as 3 lawns per hour.
If he treats 3 lawns every hour, it will take him 3 hours to treat 9 lawns.
The longer l watch the television, the higher the electric consumption I have. Which
variable is independent?
A Time spent watching TV
B Electric consumption
C. Brand of TV
D. Family members
Answer:
it will be A
Step-by-step explanation:
I am sure search ok thank u
PLEASSSEEEE HELLLLP MEEEE!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
Question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
Answer:
1) C = 3
2) B = 5
3) C = 8
Step-by-step explanation:
Question 1)
We have:
[tex](2x+3)(4x-1)[/tex]
Distribute:
[tex]=(2x+3)(4x)+(2x+3)(-1)[/tex]
Distribute:
[tex]=8x^2+12x-2x-3[/tex]
Combine like terms:
[tex]=8x^2+10x-(3)[/tex]
Therefore, C = 3.
Question 2)
We have:
[tex](x+2) (2x^2+x-1)[/tex]
Distribute:
[tex]\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)[/tex]
Distribute:
[tex]=(2x^3+4x^2)+(x^2+2x)+(-x -2)[/tex]
Combine like terms:
[tex]=2x^3+(5)x^2+x-2[/tex]
Therefore, B = 5.
Question 3)
We have:
[tex](x+2)(x^2-3x-2)[/tex]
Distribute:
[tex]=(x+2)(x^2)+(x+2)(-3x)+(x+2)(-2)[/tex]
Distribute:
[tex]=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)[/tex]
Combine like terms:
[tex]=x^3-x^2-(8)x-4[/tex]
So, C = 8.
please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP
Answer:
8.v = r 2 πh 3
Step-by-step explanation:
(IF CORRECT I WILL MARK YOU BRAINLYIEST The stem and leaf plot below shows the prices of cars and vans at a dealership, in thousands of dollars. What is the difference between the range of the van prices and the range of the car prices?
A.) $6,000
B.) $7,000
C.) $4,000
D.) $5,000
Answer:
The answer is C.) $4,000
Last year, David opened an investment account with $6500. At the end of the year, the amount in the account had increased by 23.8%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answer:
The increase is $1547, he has $8047 in his account now.
Step-by-step explanation:
6500 increase 23.8% =
6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047
8047 - 6500 = 1547
whats a reason why the emperors of rome didnt like jesus?
Answer: because they didn't believe that he really could perform miracles
Step-by-step explanation: I'm a christian
Math nation. I need help, please.
Answer:
Step-by-step explanation:
Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.
sin(21°) = 17,000/hypotenuse
hypotenuse = 17,000/sin(21°) = 47,437.3 ft
What’s the value of x in each triangle?
Answer:
The value of x is 70°.
Step-by-step explanation:
Let's name the angle to the right of 125° as 'y'.
y = 180 - 125 (linear pair)
y = 55°
Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)
x = 180 - (55+55)
x = 180 - 110
x = 70°
1/1000 as a power of ten
Answer:
-3 power
Step-by-step explanation:
the amount of 0 is the power
Kevin wrote the inequality shown below, but his teacher marked it incorrect. What can Kevin change to make the inequality true?
Answer:
10
Step-by-step explanation:
I will give out branlyest
Answer:
The only one that makes sense is A.
Hope this helps.
Step-by-step explanation:
V=LWH
Answer:
A
Step-by-step explanation:
I just took the quiz
Solve the following mathematics
49x^2 -100y2
Answer:
(7x-10y)(7x-10y)
Step-by-step explanation:
please follow me
What is the diameter of a sphere with a volume of 78006 in?
Answer: 53.0
Step-by-step explanation:
Then the diameter equals 53.0122774
The diameter of the sphere is 53.01 inch
What is a Sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the diameter of the sphere be = d
The radius of the sphere be = r
The volume of the sphere is V = 78006 inch³
The Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation ,we get
( 4/3 ) πr³ = 78006 inch³
Now , Multiply by ( 3 / 4 ) on both sides , we get
πr³ = ( 78006 x 3 ) / 4
= 58504.5 inch³
Divide by π on both sides , we get
r³ = 58504.5 / π
= 18622.56 inch³
Taking cube roots on both sides , we get
r = 26.506 inch
So , the radius of the sphere is r = 26.506 inch
Now , the diameter of the sphere is d = 2 x r
= 2 x 26.506
= 53.01 inch
Hence , The diameter of the sphere is 53.01 inch
To learn more about sphere click :
https://brainly.com/question/27933834
#SPJ2
Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the juice in Brand A If the mixture contained 30% fruit juice.
Answer:
Step-by-step explanation:
You do this by figuring out the amounts of pure fruit juice in all.
Explanation:
Mixture:
17 gal 30% contains:
17
⋅
30
100
=
5.10
gal pure juice
From Brand B:
8 gal 48% contains:
8
⋅
48
100
=
3.84
gal pure juice
So
5.10
−
3.84
=
1.26
gal came from 9 gal of brand A
So the percentage of A is:
1.26
9
⋅
100
=
14
%
pure juice.
Mark brainliest if this answer is correct please
I need help I will give you brainliest
9514 1404 393
Answer:
f⁻¹(x) = log(x)/log(16)
g⁻¹(x) = (2^x -1)/3
Step-by-step explanation:
In each case, you want to solve ...
x = f(y)
__
a. x = 4^(2y)
log(x) = 2y·log(4) . . . . . . . . take logs
y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y
f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)
__
b. x = g(y)
x = log(3y +1)/log(2) . . . . use the change of base relation
x·log(2) = log(3y +1) . . . . multiply by log(2)
2^x = 3y +1 . . . . . . . . . . . take antilogs
2^x -1 = 3y . . . . . . . . . . . subtract 1
y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y
g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2
solve for x, will give brainliest
what's the opposite of (-8h+2)
Answer:
2-8h
Hope this helped.
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Answer:
Step-by-step explanation:
Given that:
[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]
(a) For x = 54 and s = 5.3
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]
Z = -1.132
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-1.132,35,1) = 0.1326
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
b
For x = 53 and s = 4.6
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]
Z = -2.6087
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-2.6087,35,1) =0.0066
Decision: p-value is < significance level; we reject the null hypothesis.
[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]
c)
For x = 56 and s = 5.0
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
Z = 1.2
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(1.2,35,1) = 0.88009
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)
Answer:
4.75 years are required to triple the population
Step-by-step explanation:
As we know
[tex]\frac{dP}{dt} = P\\[/tex]
Integrating both the side with respect to t we get
[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]
At t = 0, P = P0
[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]
substituting K value in main equation, we get -
[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]
4.75 years are required to triple the population
2.25 kilometers in number form
Answer:
9/4 225%
Step-by-step explanation:
either one you need :)
Answer:
1.398 miles
Step-by-step explanation:
Formula: multiply the value in kilometers by the conversion factor '0.62137119223556'.
giving alot of points
Answer:
x < -50
Step-by-step explanation:
Answer:
x < -50
Step-by-step explanation:
53 – 102 + 20 (8-3)
How you do it
Answer:
Answer = 51
Step-by-step explanation:
PEMAS = (parenthesis, exponents, multiplication, division, addition, subtraction) follow steps in order
Answer:
51
Step-by-step explanation:
53-102+20(8-3)
53-102+20 x 5
53-102+100
=51
Simplify the expression. Write the answer in scientific notation.
(0.2 x 104) (4x10-8)
!pls pls pls!
Answer: 83.2
x
11
−
166.4
x
Step-by-step explanation: Multiply
104
by
0.2
.
20.8
x
(
4
x
10
−
8
)
Apply the distributive property.
20.8
x
(
4
x
10
)
+
20.8
x
⋅
−
8
Simplify the expression.
Plz help me I am timed!
Answer:
the base is 7 and the height is seven so the first answer