5(a-1)-15=3(a+2)+4 help
Answer:
a=15
Step-by-step explanation:
5(a−1)−15=3(a+2)+4
Use the distributive property to multiply 5 by a−1.
5a−5−15=3(a+2)+4
Subtract 15 from −5 to get −20.
5a−20=3(a+2)+4
Use the distributive property to multiply 3 by a+2.
5a−20=3a+6+4
Add 6 and 4 to get 10.
5a−20=3a+10
Subtract 3a from both sides.
5a−20−3a=10
Combine 5a and −3a to get 2a.
2a−20=10
Add 20 to both sides.
2a=10+20
Add 10 and 20 to get 30.
2a=30
Divide both sides by 2.
a=230
Divide 30 by 2 to get 15.
a=15
Between 8.5% and 9.4% of the city's population uses the municipal transit system daily. According to the latest census, the city's population is 785,000. How many people use the transit system daily?
Given:
City's population= 785,000.
Calculating of city's population:
[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]
[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]
Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]
Calculating [tex]\bold{9.4\%}[/tex] of the city's population:
[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]
Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]
So, the final answer is "Between 66725 and 73790 people use the transit system daily".
Learn more:
brainly.com/question/1806188
How many quarts of water should be added to 6
quarts of 80% antifreeze solution to dilute it down
to 30%?
Answer:
Step-by-step explanation:
Evaluate the expression, given functions f and h:
f(x) = 3x − 1,
h(x) = −2x2 + 3x − 2.
f
7
3
− h(−2)
PLEASE HELP GIVIBG BRAINIEST AWNSER WORTH 32 POINTS
A cell phone company offers two different monthly plans.
Plan A costs a flat rate of $0.10 per minute for all calls. Plan B costs $29.99 for
the first 500 minutes and $0.08 for each additional minute. Which plan is less
costly if a person uses 750 minutes per month? Explain.
Answer:
The Best is B = 44.985
Step-by-step explanation:
(A)First thing is that 0.10 times 750 is 75$
(B)but the 29.99 divided buy 500 equal 0.05998.
then you multiplier by 750 which equal 44.985.
this is the best way I hope this helps :)
Help please.
Simplify: 2 + 3i / 4 + 2i
Answer:
○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]
When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.
* Here is something you should know:
[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]
I am joyous to assist you at any time.
solve for X...........
Answer: First Choice. no solution
Step-by-step explanation:
Given
5 (x + 1) ≤ 5x + 3
Expand parentheses and apply the distributive property
5x + 5 ≤ 5x + 3
Subtract 5x on both sides
5x + 5 - 5x ≤ 5x + 3 - 5x
5 ≤ 3
5 ≤ 3 is not true, therefore, there is no solution.
Hope this helps!! :)
Please let me know if you have any questions
The sum of 9 and y is less than -21.
Translate the Sentences into an inequality
Answer:
9 + y < 21
Step-by-step explanation:
It is angle measure please help
Opposite angles are equal
[tex]\\ \rm\longmapsto m+357=4m+6[/tex]
[tex]\\ \rm\longmapsto 357-6=4m-m[/tex]
[tex]\\ \rm\longmapsto 3m=351[/tex]
[tex]\\ \rm\longmapsto m=\dfrac{351}{3}[/tex]
[tex]\\ \rm\longmapsto m=117[/tex]
Create two equivalent ratios for 3/5
Answer:
its equivalents can be 3/5*2 =6/10 = > 6:103/5×2=6/10=>6:10
second equivalent is 3/5*3=9/15= > 9:153/5×3=9/15=>9:15
Answer:
30/50, 6/10, 15/25, 300/500
actually as a ratio it should be:
30:50 , 6 : 10, 15:25, 300:500
Step-by-step explanation:
Find the value of A, if ∛500 × A =10
Answer:
A = 10 / 500 ^ (1/3)
A = 10 / 7.9370052598
A = 1.2599210499
Step-by-step explanation:
how much would $500 invested at 5% interest compounded continuously be worth after 8 years?
a: $700
b:$709.58
c:$745.88
d.$738.73
Answer:
D
Step-by-step explanation:
We will need to use the compound interest formula:
A = P(1 + r)ⁿ
A = final amount
P = Initial amount
r = rate
n = time applied
Our equation will then look like this
A = 500(1.05)⁸
A = 738.72772
f(x) = 1/x; Find f (1/10)
Answer:
f(1/10)=10
Step-by-step explanation:
f(x) = 1/x
f (1/10)=1/(1/10)=1·(10/1)=10
2 times a number is 12.
How do you right that in equation form
Answer:
2 * x = 12
Step-by-step explanation:
Answer:
2x = 12
Step-by-step explanation:
let the number be x then 2 times the number is 2x. so
2x = 12 ← in equation form
I WILL GIVE 50 POINTS (WOW IKR 50) TO PEOPLE WHO GET THIS RIGHT. NO SCAMMING PLEASE
Answer:
232 units
Step by step explanation
Write a word problem that could be solved by the equation in problem 8 .
3 1/2 [tex]3 1/2 divided by 7/8= 7/2*8/7= 56/14 =4[/tex]
The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".
The given expression is 8÷2/3
We need write a word problem which is solved by the above expression.
Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.
Solution
[tex]x[/tex]* × 2/3 =8
Divide both sides by 2/3.
x=8/2/3
x= 8×3 / 2
x= 12
Therefore, the total number of students is 12.
I am giving brainliest pls help asap
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=2x-3 y=-x+3
hope it is help full
Step-by-step explanation:
mark me a brainlist4. Express the following rational number in its lowest form :
) − 60/72
) − 24/36
)91/364
Answer:
-60/72 = -5/6
-24/36 = -2/3
91/364 = 45/182
Write 4 2/5 as an improper fraction
22/5
Explanation-
First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.
Working-
4×5=20
→ 20+2=22
→ 22
→ 22/5
Loretta placed 9 teaaspoons in each 2 bowls. Show many teaspoons did she use
4/5 as an equivalent fraction in 3 different forms.
Answer:
Equivalent fraction of ⅘:
[tex] \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} [/tex]
contesteneme doy coronita y 25 puntos tambien 5 estrellas
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80
WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.
Answer:
false.
Step-by-step explanation:
just cause you move a decimal point to the left dosent mean its positive.
Is the expression 2•4 x equal to the expression 8x? Explain your answer
Answer : Yes
Step-by-step explanation:
Answer:
[tex]true[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]2 \times 4x[/tex]
Multiply the monomials:
[tex]8x[/tex]
Check equivalency:
[tex] \frac{8x}{8x} [/tex]
Check equivalency:
[tex]true[/tex]
A quarterback is sacked for a loss of seven yards, then again for a loss two more
yards. He then completes an eighteen yard pass. Represent the team's overall gain
or loss as an integer.
Answer: yard:
Answer:
+9 yards
Step-by-step explanation:
Sacked for 7 then another 2 for a total of 9 yards.
Then he gains 18 yards.
18 - 9 = 9
Can some one help mẹ pls....
Answer:
h(2) or h(g(4)) = -28
Step-by-step explanation:
g(t) = t - 2,
g(4) = 4 - 2,
g(4) = 2
h(t) = -3t³ - 2t,
h(2) = -3(2)³ - 2(2),
h(2) = -24 - 4,
h(2) or h(g(4)) = -28
Paul joins a gym. He paid $50 as an initial fee and then pays $30 each month. Set up and solve an equation to find out how long has he been at the gym if he has paid $260
Answer:
the equation you would use: y = 30x + 50
(x= months)
(y= cost)
then you would plug in the cost, 260, for y to get
260 = 30x + 50 --> 7 months
Step-by-step explanation:
I got the equation from the slope intercept form y = mx +b.
The 30 is the m, or slope, because you end up paying the same amount every month. The b value would be the 50 that he initially pays because that never changes.
Since you're given the y-value of 260, you just plug it in to your new equation of y = 30x + 50 to solve for x.
when solving the equation with the plugged in numbers, (260 = 30x + 50) first subtract 50 from both sides to get 210 = 30x,
then divide by 30 on both sides (to keep the equations equal to each other and find x) --> you should get 7
Therefore, Paul has been at the gym seven months if he has paid $260.
solutions to the quadratic equation x^2+3x-28=0
Answer:
look on the graph
Step-by-step explanation:
the solutions are x = -7 and x=4
Answer:
x = -7 ; x=4
Step-by-step explanation:
The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]
10a²+3b-5a-a²+5b; a=-3 b=5
Answer:
136
Step-by-step explanation:
Substitute the values for the variables.
[tex]10(-3)^2+3(5)-5(-3)-(-3)^2+5(5)\\\\90+15+15-9+25\\\\136[/tex]
Estimate the sales tax and final cost of a book that costs $12.95 with a sales tax
of 6%.
Step-by-step explanation:
1.06 × 12.95
13.727
which is 13.73 to find the sales tax subtract it from the original
12.95 - 13.73
which is about 28 cents or 0.28