Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answers
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
Related Questions
If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?
Answers
Answer:
18
Hope this helps :) Please mark this brainiest?
Step-by-step explanation:
18/6=3
54/3=18
Answer:
18 ounces
Step-by-step explanation:
I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps
<3
E) Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got
the receipt and saw that the tax was $42.42. What was the sales tax rate for this
purchase?
Answers
Translating "The tax is some percent of the phone's price" into an equation, we get:
42.42 = p · 499
If we divide both sides by 499, we get
0.085 ≈ p
We can check by finding 8.5% of 499:
0.085 · 499 = 42.415, which rounds to 42.42
So the tax rate was 8.5%.
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answers
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive.
Answers
Answer: Answer below.
Step-by-step explanation:
Because one child was not hungry and the cake was cut into 6 equal pieces, this mean one person got 2/6 or 1/3 of the cake and the rest got 1/6 other than the child who was not hungry. I can't draw this but you want to draw a child with 2 equal slices of the cake, one with no slices, and 4 more with 1/6 slices of the cake. Sorry I couldn't draw it, but hope this helps!
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$
Answers
9514 1404 393
Answer:
$9.86
Step-by-step explanation:
The numbers in your problem statement are somewhat garbled. We understand the problem to be ...
Given:
earnings: $11.60 per hour
1/10 of earnings donated
8 1/2 hours worked
Find:
the amount donated
Solution:
The amount donated will be the product of the given numbers:
($11.60 /hour)×(8.5 hours)×(1/10) = $9.86
Kendra donated $9.86 to the charity last week.
Covert fractions into percents
1/8= __
Answers
Answer:
12.5%
Step-by-step explanation:
PLZ HELP MEEEEEEE I'LL MARK BRAILIEST
Answers
Answer:
D
Step-by-step explanation:
Please mark brainliest
hope it helps
Answer:
D
Step-by-step explanation:
I just know
Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.
Answers
Answer:
[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]
Step-by-step explanation:
[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]
[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]
[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]
Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}
Answers
If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?
Can someone help me pls?
Answers
Answer:
633,870,000
Step-by-step explanation:
Add it together either on a calculator of a sheet of paper.
The copy machine at the library made a copy of Leslie 3 page essay in just 1/10 of a minute what is the speed of the copy machine
Answers
Answer:
30 pages/min
Step-by-step explanation:
Tell whether the fractions are equivalent. Write = or [tex]\neq[/tex]
3/4 ____ 8/12
Answers
given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(
Answers
Answer:
..
Step-by-step explanation:
Gomenosai
I need to know what is in the process box, it goes with the formula y=mx+b
Answers
Answer:
y= 8.5x - 10
Step-by-step explanation:
I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10
What is 75.65 rounded to the nearest whole number?
Answers
The two numbers are in the ratio of 4:5 and the sum of these numbers in981 find the numbers
Answers
Answer:
Step-by-step explanation:
let x be the larger number
x + (4/5)x = 981
(9/5)x = 981
x = 981(5/9)
x = 545
(4/5)(545) = 436
Solve for X. 22 = 10x Simplify your answer as much as possible. x = 음. 6 08 ?
Answers
Answer:
x=11/5
Step-by-step explanation:
isolate x
22/10 = 10x/10
22/10 = x
simplify
11/5 = x
Can someone please explain to me how to solve this?
Will give brainly if you answer the question
Answers
Answer:
D.12
Step-by-step explanation:
College brother told me its 12 which is D.
Answer:x=1
Step-by-step explanation:
A type of bacterium triples in population every hour. Assuming you start with
80 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 80 • 31-1
How many bacteria will there be at the beginning of hour 5?
A. 19,440
B. 1200
C. 720
D. 6480
Answers
Answer:
Here
Step-by-step explanation:
It is B Because if you do (8 times 3)5 it equals 1200
pls help :) not understanding this thank you!!!
Answers
Answer: equals Z
Step-by-step explanation:
simple you do y divided by mass energy
see image above ^^^^
Answers
Answer: A reflection, and then a translation.
Please use image above ^^
Answers
Answer:
D or answer choice 4
Step-by-step explanation:
please help me on my math , I need help :(
Answers
Answer:
ask sombody else
Step-by-step explanation:
guess we dont
Will give Brainliest. Amoli and Ella are converting measurements between inches and feet. Amoli says that the constant of proportionality is 12. Ella says it is 1/12. Who do you agree with? Explain your thinking.
Answers
A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
What is the area of the rectangle?
8 square units
B. 10 square units
O c. 12 square units
O D. 15 square units
Answers
Answer:
C
Step-by-step explanation:
Answer:
D. 15 square units
Step-by-step explanation:
Explanation shown in the screenshots of the graph.
please help.......,................
Answers
Answer:
8×1=8+64=72
Step-by-step explanation:
there is your answer are you happy now
4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248
Answers
When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.
It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.
Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.
Read related link on:
https://brainly.com/question/15179003
What is 15 with exponent 1/3 in radical form?
Answers
Answer:
[tex]\sqrt[3]{15}[/tex]
Step-by-step explanation:
15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]
To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.
15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]
Have the best day ever! :D
Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°
커
O isosceles
equilateral
scalene
acute
obtuse
right
equiangular
Answers
Answer:
obtuse isosceles
Step-by-step explanation:
the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.
since the angle is >90, the triangle is obtuse
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.
Answers
Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
At the null hypothesis, we test if the proportion is of 23%, that is:
[tex]H_0: p = 0.23[/tex]
At the alternative hypothesis, we test if this proportion is lower than 23%, that is:
[tex]H_1: p < 0.23[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]
[tex]z = -0.52[/tex]
The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.
Looking at the z-table, z = -0.52 has a p-value of 0.3015.Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
A similar problem is given at https://brainly.com/question/14639462