Answer:
x = (13 + 3a) / a
Step-by-step explanation:
Given equation:
4(ax+3) - 3ax = 25 + 3a
Open parenthesis
4ax + 12 - 3ax = 25 + 3a
Collect like terms
4ax - 3ax = 25 + 3a - 12
Simplify
ax = 13 + 3a
x = (13 + 3a) / a
4(ax+3) - 3ax = 25 + 3a is equivalent to x = (13 + 3a) / a
Suppose 35% of students in a class have blue eyes. Five blue-eyed students join the class. Now 48% of the students have blue eyes. How many students were originally in the class?
Answer:
x : 35
x +5 : 48
35x+175=48x
175= 48x-35x
13x=175
x=175/13
x=13 students
if angle KLJ~angle VWU. Find the x value
Answer:
17
Step-by-step explanation:
Since angle KLJ~angle VWU are similar :
KL / WV = KJ/ UV
(25 / 20) = (4x - 23 / 2x + 2)
Cross multiply :
25(2x + 2) = 20(4x - 23)
50x + 50 = 80x - 460
50x - 80x = - 460 - 50
-30x = -510
x = 510 / 30
x = 17
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game
rented.
The Game Bank charges an annual fee of $11 plus $2.50 per game.
For how many game rentals will the cost be the same at both stores?
Answer:
2 games
Step-by-step explanation:
Given data
The Fun Guys game
charges annual fee of $5 plus $5.50 per game
let the number of games be x
and the total charges be y
The expression for the total is
y=5+5.5x---------------1
The Game Bank
charges an annual fee of $11 plus $2.50 per game.
y=11+2.5x---------------2
Equate 1 and 2 above
5+5.5x=11+2.5x
collect like terms
5.5x-2.5x= 11-5
3x= 6
divide both sides by 3
x= 6/3
x= 2
It will take 2 games
*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft
Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.
Answer:
10 visits
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Rewards for signing up = 80 points
Reward per visit = 2.5 points
Total points needed = 105
Let, number of visits = x
So, we can calculate number of visits by using following formula,
80 + (2.5 × X) = 105
2.5X = 105 - 80
2.5X = 25
X = 25 ÷ 2.5
X = 10 visits.
Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.
Mr. Chiu made a dot plot after asking his students a question. A dot plot titled How Many Hours Did you Study for the Math Test Question mark going from 0 to 6. 0 has 1 dot, 1 has 2 dots, 2 has 3 dots, 3 has 2 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 1 dot. Based on the dot plot, which statements are correct? Check all that apply. Eleven students answered Mr. Chiu's question. Twelve students answered Mr. Chiu's question. Three people studied for two hours. Three people studied for three hours. Everyone who responded studied for at least one hour. Four people studied for four or more hours.
Answer:
b,c and f
Step-by-step explanation:
Answer:
B Twelve students answered Mr. Chiu’s question.
C Three people studied for two hours.
F Four people studied for four or more hours.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
graph a line that contains the point (3,-6) and has slope of -1/2
Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y intercept
Since, m = -[tex]\frac{1}{2}[/tex]
Equation of the line will be,
y = [tex]-\frac{1}{2}x+b[/tex]
Since, a point (3, -6) lies on the line,
-6 = [tex]-\frac{3}{2}+b[/tex]
b = -6 + 1.5
b = -4.5
Equation of the line will be,
[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]
Table for the points on the graph,
x -4 -3 -2 -1 0
y -2.5 -3 -3.5 -4 -4.5
Plot these points and join them to get the graph of a line.
can i plz get some help
You have 5 choices of shirts: red, blue, green, yellow, brown; 3 choices of pants: green, brown, black; 4 choices of
socks: black, brown, tan, white; and 3 choices of shoes: white, brown, black. What is the probability that you will
dress all in brown-shirt, pants, socks, and shoes?
Answer:
15% chance
Step-by-step explanation:
The required probability is 0.0166 that you will dress all in a brown shirt, pants, socks, and shoes.
How to find probability?The probability that you will dress all in brown is the product of the probability of selecting each brown item.
There is only one choice of brown shirt out of a total of 5 shirt choices, so the probability of selecting a brown shirt is 1/5.
Similarly, there is only one choice of brown pants out of a total of 3 pant choices, so the probability of selecting brown pants is 1/3.
There is also only one choice of brown socks out of a total of 4 sock choices, so the probability of selecting brown socks is 1/4.
Finally, there is also only one choice of brown shoes out of a total of 3 shoe choices, so the probability of selecting brown shoes is 1/3.
To find the overall probability of dressing all in brown, you need to multiply these probabilities together: (1/5) × (1/3) × (1/4) × (1/3) = 1/60.
This means the probability of dressing all in brown is approximately 0.0166, or about 1.7%.
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What is meant by the included angle in SAS congruence theorem?
Answer:
The included angle means the angle between two sides. In other words it is the angle 'included between' two sides. In which pair of triangles pictured below could you use the Side Angle Side postulate (SAS) to prove the triangles are congruent? It is the only pair in which the angle is an included angle.
Step-by-step explanation:
The functions g and h are such that g(x)=2x+5 and h(x)=ax+b
the answer is : a=9 and b=-1
Please help! I could fail if I don’t get theese right
Answer:
b ruh its c
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
expression for six minus b
Answer:
6-b
Step-by-step explanation:
I hope this helps, and have a great day! :D
Given that
a
= 13.2 m and
b
= 9.6 m, work out
x
.
Give your answer rounded to 1 DP.
The diagram is not drawn accurately.
Evaluate the expression 42 + 5/9y
Pls help I’m being timed
1.How do you know you have a direct variation in the
relationship between two quantities?
Answer:
Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.
Step-by-step explanation:
find the common difference of the arithmetic sequence -2,-4,-6
Answer:
-2
Step-by-step explanation:
-4-(-2) = -2
-6-(-4) = -2
f(x) = 5x^2 + 14
g(x) = 4x + 8
What is f(g(-8))?
Answer:
it is 24
Step-by-step explanation:
i did andn i got 1000
I need help with this
Answer:
Step-by-step explanation:
PLS MATH QUIZZ
Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?
Answer:
t≈
5.1
Step-by-step explanation:
A=99000 P=70000 r=0.068 n=365
Given values
99000
70000
(
1
+
0.068
365
)
365
t
70000(1+
365
0.068
)
365t
Plug in values
99000
=
99000=
70000
(
1.0001863
)
365
t
70000(1.0001863)
365t
Simplify
99000
70000
=
70000
99000
=
70000
(
1.0001863
)
365
t
70000
70000
70000(1.0001863)
365t
Divide by 70000
1.4142857
=
1.4142857=
1.000186
3
365
t
1.0001863
365t
log
(
1.4142857
)
=
log(1.4142857)=
log
(
1.000186
3
365
t
)
log(1.0001863
365t
)
Take the log of both sides
log
(
1.4142857
)
=
log(1.4142857)=
365
t
log
(
1.0001863
)
365tlog(1.0001863)
Bring exponent to the front
log
(
1.4142857
)
log
(
1.0001863
)
=
log(1.0001863)
log(1.4142857)
=
365
t
log
(
1.0001863
)
log
(
1.0001863
)
log(1.0001863)
365tlog(1.0001863)
Divide both sides by log(1.0001863)
1860.731865
=
1860.731865=
365
t
365t
Use calculator
1860.731865
365
=
365
1860.731865
=
365
t
365
365
365t
Divide by 365
5.0978955
=
5.0978955
It would take 5 year for the value of the account to reach $99,000.
What is Future Value?The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Given:
P = $70000
R= 6.8%
SV = $99000
For Compounded Daily
A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]
99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]
[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414
[tex](1. 00019)^{365n[/tex] = 1.414
[tex]1.072^n[/tex] = 1.414
and, n=5 years
Hence, it would take 5 year for the value of the account to reach $99,000.
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In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.
Answer:
1374
Step-by-step explanation:
delta math
The length of the side k in the given triangle is 1,373.9 cm.
What is cosine law?The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.
Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,
Using the cosine law,
k² = l²+m² - lmCos169°
= 820²+560²-(820)(560)cos169°
= 1,373.9
Hence, the length of the side k in the given triangle is 1,373.9 cm.
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PLLLS helpppp mee this is due now T-T
Answer:
Step-by-step explanation:
Answer:
= 2 and 5
Step-by-step explanation:
( 4 - 7x ) + ( 2x - 2 ) = 0
4 - 7x = 2x - 2 = 0
-7x -2x - 2 + 4 = 0
-5x - 2 = 0
-5 x = 0 or -2 = 0
x = 5 x = 2
Sue washes 25 cars in 5 hours. This means Sue washes cars per hour
Answer:
she washes 5 cars per hour
Answer:
Sue washes 5 cars an hour
Step-by-step explanation:
25/5 = 5 cars an hour
I WILL MARK BRAINLYEST PLZ HELP IM BEING TIMED!!!!!
Triangle 1 is transformed onto triangle 2 in the graph below.
On a coordinate plane, triangle 1 is rotated to form triangle 2.
Which statement about the transformation is true?
The transformation is a reflection because triangle 2 is a flip of triangle 1.
The transformation is a dilation because triangle 2 is a different size than triangle 1.
The transformation is a vertical translation because triangle 1 slid vertically.
The transformation is a rotation because triangle 2 is a quarter-turn of triangle 1.
Answer:
c or d
Step-by-step explanation:
Help!
Jesse bought a 340-gram bag of coffee beans. He uses 18.75 grams of coffee beans each day. When there are 40 grams of coffee beans remaining in the bag, Jesse will buy another bag to
make sure
he doesn't run out of coffee.
How many days can be use the 340-gram bag of coffee beans before he buys a new bag?
Answer:
Jesse should buy a new bag in 16 days.
Step-by-step explanation:
He uses 18.75 grams a day.
We can multiply the amount of grams by the amount of days.
18.75 x 16 = 300
He stops using the bag when he uses 300 grams.
So he uses 1 bag for 16 days
1 bag can last for 16 days.
Answer:
Jesse should buy a new bag in 16 days
Step-by-step explanation:
A pair of shoes usually sells for $60. If the shoes are 20% off, and sales tax is 7%, what is the total price of the shoes, including tax?
Answer:
$50.88
Step-by-step explanation:
Adjusted Price without tax = 0.8 * 60,
0.8 * 60 = 48,
With Tax = 1.06 * 48,
1.06 * 48 = 50.88
∴ New Price = 50.88
Answer:
Its $12.84
Step-by-step explanation:
20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!
38 < 4x - 10
help me out plz n ty
Answer:
Step-by-step explanation:
Bringing like terms on one side
38 + 10 < 4x
48 < 4x
48/4 < x
12 < x
An ice cream factory makes 375 quarts of ice cream in 5 hours. How many quarts could be made in 13 hours?
Answer:- 975 quarts of Ice cream is prepared in 13 hours.
Step-by-step explanation:
If 375 quarts of ice cream is made in 5 hours
then in 1 hour quantity of ice cream prepared is = 375/5=75
then in 13 hour quantity of ice cream prepared would be = 13×75=975 quarts.
Hope this helps you.
