Answer:
$58.64
Step-by-step explanation:
The total cost of a game g with 7% sales tax can be represented by the expression
g + 0.07g
From the above question,
g = Original price of the game = $52.
The total cost of game g =
$52 + 0.07 × $52
$52 + $3.64
= $58.64
5x−4y=34
−x+8y=22
elimination
Answer:
The solution to the system of equations is:
[tex]x=10,\:y=4[/tex]
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]
Multiply -x+8y=22 by 5: -5x+40y=110
[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]
so adding the equations
[tex]-5x+40y=110[/tex]
[tex]+[/tex]
[tex]\underline{5x-4y=34}[/tex]
[tex]36y=144[/tex]
solve 36y = 144 for y:
[tex]36y=144[/tex]
divide both sides by 36
[tex]\frac{36y}{36}=\frac{144}{36}[/tex]
Simplify
[tex]y=4[/tex]
For 5x-4y=34 plug in y=4
[tex]5x-4\cdot \:4=34[/tex]
[tex]5x-16=34[/tex]
Add 16 to both sides
[tex]5x-16+16=34+16[/tex]
Simplify
[tex]5x=50[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{50}{5}[/tex]
Simplify
[tex]x=10[/tex]
Therefore, the solution to the system of equations is:
[tex]x=10,\:y=4[/tex]
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:
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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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:
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
What is the value of x?
Answer:
x = 30 degrees
Step-by-step explanation:
Okay so we start by noticing that the two pointed out vertices = 180 degrees. So we have the following equation.
(x + 12) + (3x + 48) = 180
If you combine them you get:
4x + 60 = 180
Subtract 60 from both sides..
4x = 120
Divide both sides by 4..
x = 30
And there's your answer!
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
Can someone help me understand this
Answer:
Step-by-step explanation:
If we define the line QR to be some variable of distance 'x', we can use the relationship of cosine to figure out the length of QR.
Remember, cosine is adjacent of the angle divided by the hypotenuse of the angle. So, if we take this x value over the longest side (hypotenuse), we get the value of cos(theta).
cos(25) = x/7
Multiply both sides by 7 to get:
7*cos(25) = x
Let your calculator do the work to get:
x = 6.3
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 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
if 10 calculator cost £120 how much does 8 cost?
Answer:
1 calculator cost £12
120 divided by 10 = 12
now 8 x 12 = £96
8 calculators cost £96
Step-by-step explanation:
Answer:
£96
Step-by-step explanation:
If you have 10 calculators which cost £120, you just need to divide 120 by 10 which will give you 12. Since 8 is only 2 away from 10, you just need to times 12 by 2, giving you 24, then take that away from 10! Hope this helped!
Pls help I’m being timed
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:
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
I need help with this
Answer:
Step-by-step explanation:
Find the area of triangle ABC.
Give your answer correct to 1 decimal
Answer:
let
a=9cm
b=8cm
c=10cm
Step-by-step explanation:
now
s=(a+b+c)/2=(9+8+10)/2=13.5
area of traingle=√(s(s-a)(s-b)(s-c))=√(13.5(13.5-9)(13.5-8)(13.5-10))=34.197cm²
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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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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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.
Evaluate the expression 42 + 5/9y
Need help pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A y = 2x
Step-by-step explanation:
Find the number on Y - 2
then find the number for X - 2
then you get y = 2x
Answer:
B. y = -x + 2Step-by-step explanation:
Without calculations we can see that:
The graph is decreasing, so it has a negative slopeThe y-intercept is 2, point (0,2)This is matching the option B
y = -x + 2find the common difference of the arithmetic sequence -2,-4,-6
Answer:
-2
Step-by-step explanation:
-4-(-2) = -2
-6-(-4) = -2
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
Round 25,000 to the nearest thousand
Answer:
25,000
Step-by-step explanation:
Since there are no other numbers before the thousands place, it can be determined that the current thousands place will remain the same.
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
can i plz get some help
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!
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.
