Answer:
x = -28 and y = -21
Step-by-step explanation:
Let two numbers be x and y.
One number is seven less than a second number.
x = y-7
x-y = -7 ...(1)
Three times the first is three more than four times the second.
3x = 4y or
3x-4y =0 ...(2)
Multiplying equation (1) by 3. So,
3x-3y = -21 ...(3)
Subtracting equation (2) from (3).
3x-3y-(3x-4y) = -21
-3y+4y = -21
y = -21
Put the value of y in equation (1).
x-(-21)= -7
x+21=-7
x = -21-7
x = -28
So, the value of x and y are -28 and -21 respectively.
You purchase a new shirt that cost $18.00. Sales tax is added at the register at a rate of 7%. Thus time I would like to know what the total cost of the shirt is including sales tax?
Help me please
Hannah receives no commission on her first $60,000 in car sales. For every dollar over $60,000 in sales, she earns 25% commission.
If Hannah makes car sales of $128,000, how much does she makes in commission?
A
$7,000
B
$15,000
C
$17,000
D
$32,000
30 POINTS
Identify the following for the exponential function y = 5(1/4)x.
a. Growth or decay?
b. Initial value
c. Growth/decay factor
d. Growth/decay rate (as a percentage)
Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
Where a is the initial value and r is the rate.
We have the function:
[tex]y=5(1/4)^x[/tex]
So, a = 5 and r = 1/4.
A)
Remember the guidelines:
It is exponential growth if r > 1. And it is exponential decay if r < 1. (And r must be positive.)Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.
4. Which of the following is equivalent to the
expression below?
4x + 3(2x +1) + 4x
A 14x
,
C 14x + 3
B6x + 3
D 14x - 3
5. What are the like terme in the av
Answer:
14x+3
Step-by-step explanation:
The given expression is as follows :
4x + 3(2x +1) + 4x
We need to find the equivalent expression for the above.
So,
4x + 6x +3 + 4x
Adding x terms,
14x+3
Hence, the correct equivalent expression is 14x+3.
Evaluate: 25 - 2t, when t = 5
Answer:
15
Step-by-step explanation:
25 - 2t
t = 5
25 - 2(5)
25 - 10
= 15
Answer:
15
Step-by-step explanation:
The equation with the value t substituted for 5 will look like 25 - (2)5
first you multiply 2 and 5 because pemdas.
The equation Is now 25-10
25-10 is 15
The answer is 15
At a basketball game, a team made 58 successful shots. They were a combination of 1- and
2-point shots. The team scored 101 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were __ 2-point shots and __ 1-point shots.
Answer: 43,15
Step-by-step explanation:
i just had this problem lol sorry if i’m late
in the first third of the season the team played 18 games how many games will the team play during the whole season
Answer:
54
Step-by-step explanation:
all you have to do is times 18 by 3
Victoria and Javier are collecting aluminum for a community service project. Victoria previously collected 56 pounds and is collecting at a rate of 8 pounds per hour this weekend. Javier collected 16 pounds earlier and Is now collecting at a rate of 12 pounds per hour. How many hours must pass (x) before the two students have collected the same amount of aluminum (y)?
Answer:
10 hoursStep-by-step explanation:
Victoria collects:
8x + 56Javier collects:
12x + 16They get same amount:
8x + 56 = 12x + 1612x - 8x = 56 - 164x = 40x = 10I will give Brainlyest
Answer:
2x-60=180
Step-by-step explanation:
RQS = x-6
the two angles add to make 180 because they are on a straight line
so x + x-6 = 180
therfore, 2x+6 = 180
pls help because pls
Four times Audrey’s age plus 7 is Parag’s age. Parag is 51. What is
Audrey’s age?
Answer:
I think 5.
Step-by-step explanation:
You'd do this backwards.
51 ÷ 4 = 12.75
12.75 - 7 = 5.75.
You could either round that to 6 or keep it at 5.
Answer:
I believe it is 5 or 6. the answer I got was 5.75 so I am leaning towards 6 but I would let someone else answer.
Step-by-step explanation:
ok so we have 51 so then you would divide by 4 and subtract 7.
Find the slope of the line containing the pair of points (-1,-18) and (-13,-19)
Answer:
Slope: 3.083333333
Step-by-step explanation:
can someone help me with this problem? -9.32 x 10^-? put it in standard form.
Answer:
-9.32*10^- is -9.32*10^-5
Find the distance, c, between (–4, –3) and (2, 1) on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-(-4))²+(1-(-3))²)
d=√(6²+4²)
d=√36+16
d=√52
d=7.21110255...
d=7.2
Step-by-step explanation:
d=7.2
The distance between the points on the coordinate plane is 7.2 units.
What is coordinate geometry?Coordinate geometry is the study of geometry using the coordinate points. It provides a link between geometry and algebra through line graphs and curves.
For the given situation,
The points are (x1, y1) be (–4, –3) and (x2, y2) be (2, 1)
The formula for the distance between points,
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
On substituting the above points,
⇒ [tex]d=\sqrt{(2-(-4))^{2}+(1-(-3))^{2} }[/tex]
⇒ [tex]d=\sqrt{6^{2}+4^{2} }[/tex]
⇒ [tex]d=\sqrt{52}[/tex]
⇒ [tex]d=7.211[/tex] ≈ [tex]7.2[/tex]
Hence we can conclude that the distance between the points on the coordinate plane is 7.2 units.
Learn more about coordinate geometry here
https://brainly.com/question/16410393
#SPJ2
What's 33 divided by 25.41
Answer:
1.298701298701
Step-by-step explanation:
hope this helped
Answer:
1.37741046832
Step-by-step explanation:
Pls help my with one and two asap
Answer:
Step-by-step explanation:
for nr. 1
sum of angles in a triangle=180
x=180-(81+84)=15
acute triangle
for nr.2
x=180-(24+36)=120
obtuse triangle
Complete the sentences:
Answer:
a) "impossible event"
b) "certain event"
c) Letter A.
Step-by-step explanation:
a) An event with probability 0 is said to be:
These events are called "impossible events" (but there are more complex cases where we can have probabilities 0, and the events are not necessarily impossible events)
b) An event with probability 1 is said to be
An event with a probability of 1 is an event that will happen, these events are called "certain event"
c) The probability for each outcome of an unbiased experiment of N different outcomes will be 1/N
for example, for a 6-side dice we have 6 outcomes, then the probability of each outcome is 1/6.
For the coin, we have 2 outcomes, then the probability of each outcome is 1/2
Probability of getting a head = 1/2 = 0.5
In the image, we can see that letter A is on the 0.5 value, then the correct answer here is A.
HELP ME CHEAT
A small pouch contains 8 black marbles, 5 white marbles, and 12 red marbles.
Find the probability of picking a red then a black marble if you do not replace the first marble.
0.16
0.32
0.3
0.5
What is m∠1?................
Answer:
144
Step-by-step explanation:
to find the missing angle in side of the triangle we subtract 111 and 33 from 180
180-111-33=36
so the angle inside of the triangle equals 36 to find the one on the outside of the triangle we subtract 36 from 180
180-36 which equals 144 so 1=144
Please explain and show work
Answer:
a. 1
b. any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1
Step-by-step explanation:
Answer and explanation:
a) This value is equal to one because it is just the number divided by itself.
b) Since any number divided by itself is equal to 1, 6^3/6^3 also has to equal to one. This also means that when we bring the 6^3 up to the numerator, the equation 6^3-3, which simplifies into 6^0 also has to equal 1, because it is equivalent to being divided by itself.
Hope this helps!!
John drove to visit his grandmother. To get there, he drove 157.5 miles on the highway and a few miles further on city streets. The highway part of his drive took him 2.5 hours. If John drove at a steady pace, how fast did he drive on the highway?
Answer: 63 mph
Step-by-step explanation:
Speed is determined by dividing the distance traveled by the time taken to travel it.
Speed = Distance of highway / Time spent on highway
= 157.5 / 2.5
= 63 miles per hour
Help me please I don’t know
Answer:
$1.50
Step-by-step explanation:
okay so its asking whats the cost of one notebook so if you are gonna add you will get 10.30
The velocity of a car increases from 4 m/s at 2 sec. To 32 m/s at 9 sec. What is the car’s average acceleration?
Answer:
[tex]a=4\ m/s^2[/tex]
Step-by-step explanation:
Given that,
The velocity of a car increases from 4 m/s at 2 sec to 32 m/s at 9 sec.
We need to find the car's average acceleration. It can be given by the change in velocity divided by the change in time. So,
[tex]a=\dfrac{v-u}{t_2-t_1}\\\\a=\dfrac{32-4}{9-2}\\\\a=4\ m/s^2[/tex]
So, the car's average acceleration is equal to [tex]4\ m/s^2[/tex].
The sum of three times a number and −4 is less than 17?
Answer:
3(n + 4) ≤ 10 is the equation and the solution is n ≤ -2/3 Decimal Form: -0.666667
hope this helps you
Step-by-step explanation:
Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
5 units
Step-by-step explanation:
please help!!!!!!!!!!! 15 points and brainliestor whatever it’s called
Answer:
The answer should be [tex]9*10^{16}[/tex]
Step-by-step explanation:
Find the equivalent ratio 5:22____ : 66
A.3
B.15
C.5
D.1/5
Answer:
B: 15
Step-by-step explanation:
22 x 3 = 66, so you have to multiply 5 by 3,
5 x 3 = 15, and there is your answer!
Answer:
your answer is B
Step-by-step explanation:
If you multiply 5x3 you get 15, and if you multiply 22 is 3 you get 66.
5:22 is just a simplified version of 15:66
The perimeter of a rectangle is 46 inches. If the width of the rectangle is 8 inches, what is the length?
Answer:
The length is 15 inches
Step-by-step explanation:
Using the formula [tex]P=2(l+w)[/tex], you will do this:
[tex]l=\frac{p}{2} - w = \frac{46}{2} - 8 = 15in[/tex]
can someone help with my math questions on my page/account?
Answer:
yepp
Step-by-step explanation:
okkkkkkkkkkkkkkk
Calculate the approximate difference between 1 mile and 2 km.
Give your answer in metres.
Answer:
Approximate difference between 1 mile and 2 km in meters = 390.66meters
Step-by-step explanation:
I mile =1609.34meters
also 1000m = 1km
therefore 2km = 2 x 1000= 2000m
Approximate difference = 2000m - 1609.34m
=390.66 meters.
Approximate difference between 1 mile and 2 km in meters = 390.66meters