Answer:
x = 20/3 or x = -12/5
Step-by-step explanation:
Solve for x over the real numbers:
2 abs(x - 1) = x/2 + 8
Divide both sides by 2:
abs(x - 1) = 1/2 (x/2 + 8)
Split the equation into two possible cases:
x - 1 = 1/2 (x/2 + 8) or x - 1 = 1/2 (-x/2 - 8)
Expand out terms of the right-hand side:
x - 1 = x/4 + 4 or x - 1 = 1/2 (-x/2 - 8)
Subtract x/4 - 1 from both sides:
(3 x)/4 = 5 or x - 1 = 1/2 (-x/2 - 8)
Multiply both sides by 4/3:
x = 20/3 or x - 1 = 1/2 (-x/2 - 8)
Expand out terms of the right-hand side:
x = 20/3 or x - 1 = -x/4 - 4
Add x/4 + 1 to both sides:
x = 20/3 or (5 x)/4 = -3
Multiply both sides by 4/5:
Answer: x = 20/3 or x = -12/5
I need help finding the slope, identifying the initial value and writing An equation for a linear function and finding the X answer Y intercept PLEASE HELP PLEASE
Answer/Step-by-step explanation:
✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1 [/tex]
Slope (m) = -0.1
✔️Initial Value = y-intercept = b
To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.
(Note: y is P(t) and x is t).
Thus:
4.58 = (-0.1)(2) + b
4.58 = -0.2 + b
Add 0.2 to both sides
4.58 + 0.2 = b
4.78 = b
b = 4.78
Initial value = 4.78
✔️Equation for the linear function:
Substitute b = 4.78, and m = -0.1 into P(t) = mt + b
Thus the equation would be:
P(t) = -0.1t + 4.78
✔️The y-intercept = initial value = 4.78
✔️The x-intercept = the value of t when P(t) = 0.
To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.
Thus:
0 = -0.1t + 4.78
Add 0.1t to each side
0.1t = 4.78
Divide both sides by 0.1
t = 47.8
x-intercept = 47.8
Find the distance between 6 and -2 on a number line
Answer:
8
Step-by-step explanation:
The distance between 6 and -2 is 8
(draw a number line and from 6 to -2 is 8 steps)
Evaluate the following expression: (10 - 3y) - 1 , if y = 3.
Answer: =0
Step-by-step explanation:
(10 - 3*3) - 1
(10 - 9) - 1
1-1
=0
Which statements about experimental probability are true? Select three options. Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator. Experimental probability is the same as theoretical probability. An experiment to determine probability will include a number of trials. A probability experiment will count the number of times an event occurs. Experimental probability can be written in the form of a ratio.
Answer:
C D E or 345
Step-by-step explanation:
Answer:
CDE
Step-by-step explanation:
Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
Jim wants to save money to open a tutoring center. He buys an annuity with a quarterly payment of 56$ that pays 3.7 interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 9 years.
Answer:
$78.01
Step-by-step explanation:
solve the equation 56(1+.037÷4)^4×9
ends up being 56(1.00925)^36
56(1.3930133899)
=78.0087
The total value of the annuity in 9 years is: $78.00
We have the following information available from the question is:
He buys an annuity with a quarterly payment of $56 that pays 3.7 interest, compounded quarterly.
Payments will be made at the end of each quarter.
We have to find the total value of the annuity in 9 years.
Now, According to the question:
The total value of the annuity in 9 years :
The equation will be :
[tex]= > 56(1+ \frac{3.7}{4} )^4^(^9^)[/tex]
=>56(1.3930)
=$78.00
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d. (3+5i) (6-i) = Show your work.
Answer:
4i + 9 < simplified version
Step-by-step explanation:
3 + 5i + 6 - i =
4i + 9
Charlotte is looking for seashells on the beach. She is only going to look for the seashells in a 14 feet by 4 feet rectangular area. What is the area of the rectangle in square feet? *
Answer:
The answer is 56 square feet. Don't forget the square or else the answer is invalid :). good luck
Step-by-step explanation:
Shaela can solve 20 one-step equation problems in 3 minutes. How many seconds does it take her to solve one problem?
Answer:
.67 secounds
Step-by-step explanation:20/3
Evergreen Wildlife Preserve has 110 animals, and 66 of them are birds of prey. What percent of the animals are birds of prey?
Answer:
60%
Step-by-step explanation:
let ,x% is birds of prey
total animals=110
birds of prey=66
then,
x%of 110=66
x/100×110=66
110x/100=66
1.1x=66
x=66/1.1
x=60%
I'm not sure if this is correct.
Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.
2. a. Model the relationship between the number of $0.20 price decreases and the amount of money earned using an equation, table, and graph.
The model for the relationship between the number of $0.20 price decrease, x, to the amount of money earned, E, is presented by the following equation;
E = -10•x² + 160•x + 2250Please find attached the values of the model in the attached table and graph of the model.
How can the equation of the model be found?Let x represent the number of $0.20 price decrease and let E represent the total amount earned (the revenue), we have the following revenue equation;
E = Amount earned = Number of cars washed × The price to wash one carHowever;
When the number of cars washed = (450 + 50•x)
The price to wash one car = (5 - 0.2•x)
Therefore;
E = (450 + 50•x) × (5 - 0.2•x)Which gives the following equation;
E = -10•x² + 160•x + 2250Please find the attached table and graph created using the above equation for the amount earned per year.
From the graph, the maximum amount is earned when the price is reduced by $0.20, eight times to give;
Optimum price = 5 - 0.2×8 = 3.4
The optimum price = $3.4The number of cars washed at the optimum price = 850The maximum amount earned = $2890Learn more about how to find the revenue function here:
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6. In Florida, 94% of people have a TV, 71% have a TV and a DVD player. What percent of people that have a TV also
have a DVD player? In other words, what is the probability a person has a DVD player given that they own a TV?
A. 66%
B. 70%
C. 76%
D. 83%
Can someone help with this please?
Answer:
<4 = 81
Step-by-step explanation:
we know that all the interior angles of a triangle will equal 180
so <1 + <2 + <3 = 180
we know that <4 is the exterior angle to <3
the exterior angle is equal to the angles opposite to its interior
<3 is the interior angle to <4
<1 and <2 are the angles opposite to <3
so <4 = <1 + <2
<4 = 42 + 39
<4 = 81
(0,5, 1, 17)
What is the number of subsets
What is the number of proper subsets
Answer:
16
Step-by-step explanation:
n=4
subset=2^n
=2^4
=16
Given
n, find the value of x.
I think the answer is 109 but I’m not sure
Answer:
x=35 hope it helps see ☜☆☞
Shannon's rectangle countertop is 3 feet wide.it is 3 times as long as it is wide.Find the length and the area of Shannon’s countertop.
AnswerArea: 27 square feet Length: 9 Feet
Step-by-step explanation:
So, first we need to find the length.
If the length is 3 times the width, we need to multiply the width times 3 to get the lenght. So, 3*#=9/ So the lenght is 9
Now, we need to find the area.>
We need to multiply length times width, so-
9*3=27
Need this ASAP thanks
Answer:
the answer is A substitution
how to make 6/12 in to decimal
Answer:
Step-by-step explanation:
If you have a calculator just put 6 / 12, and you will get your answer
If you don't have a calculator, do long division or you can simplify the fraction. Ex: 6/12 = 3/6 = 1/2; 1/2 = 0.5
Answer:
0.5
Step-by-step explanation:
You can reduce it to 1/2 which is equivalent to 50% or 0.5
Please answer the question as quickly as possible
Answer:
The answer would be x by 2 over the squared number.
What is the reduce form of 10/ab+x
1.
[tex] \frac{10}{2 {ab}^{2} } \times \frac{ {a}^{2} {b}^{2}}{5}[/tex]
[tex] = \frac{5}{2a {b}^{2} } \times {a}^{2} {b}^{2} [/tex]
[tex] = \frac{5}{2a} \times {a}^{2} [/tex]
[tex] = \frac{5 {a}^{2} }{2a} [/tex]
sum all the prime numbers less than 80 and write the answers.
Answer:
791
Step-by-step explanation:
Prime number is a number that is divisible only by itself and 1 .
prime numbers less than 80
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79
therefore,
2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79
=791
Answer:
791.
prime numbers less than 80 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79
sum of these numbers are
2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79
= 791
Mariette bought a 6 pack of donuts to share with her friends
at school. The donuts cost $18.00 all together.
What is the unit rate for the donuts in ?
donut
1
What is the unit rate for the donuts
Answer: The unite rate is $3 per pack.
Step-by-step explanation:
The unit rate will the the cost of one pack of donuts.
If 6 packs is equal to $18 dollars, then to find the unit rate we will divide 18 by 6.
18/6 = 3
This means one pack of of donut will cost $3.
Find the value of x by filling the blanks in the provided statement-reason solutions
Answer:
no picture?
Step-by-step explanation:
Find the radius of a circle that has an area of 121 pi f2
Answer: r=11
Step-by-step explanation:
A=πr^2
A=121π
121π=πr^2
r^2=121
r=11
I need help plss
Hola
what is the measure of ABC?
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
2/5 acres in 7/8 days
Given that,
A group of workers can plant 2/5 acres in 7/8 days.
To find,
The unit rate in acres/day.
Solution,
To find unit rate, divide acres and days as follows:
[tex]R=\dfrac{\dfrac{2}{5}}{\dfrac{7}{8}}\ \text{acres/days}\\\\=\dfrac{2}{5}\times \dfrac{8}{7}\\\\=0.45\ \text{acres/days}[/tex]
So, the unit rate is 0.45 acres/days.
(HELP ME )Jolie played dodgeball in PE. In one game, Jolie threw a total of 75 balls at her
opponents in one day of dodgeball. She hit 30 of her opponents. What percent of her
targets did she hit?
Answer:
40%
Step-by-step explanation:
A percent is;
[tex]\frac{part}{whole} = \frac{x}{100}[/tex]
It is given that Jolie the 75 dodgeballs in total, hence the whole is 75. It is also given that 30 of the dodgeballs hit the target, so the part is 30. Now all one has to do is solve for "x".
[tex]\frac{30}{75} = \frac{x}{100}[/tex]
Simplify [tex]\frac{30}{75}[/tex] by dividing the numerator and denominator by 15.
[tex]\frac{2}{5}[/tex]
Now the equation is;
[tex]\frac{2}{5}=\frac{x}{100}[/tex]
Typically, one would solve a proportion by doing cross products, but in this case, it is easier to think about it intuitively. Since 5 is a factor of 100 (5 * 20 = 100), then all one has to do is multiply [tex]\frac{2}{5}[/tex] by 20 to get the answer (on the numerator).
x = 40
Answer:
40%
Step-by-step explanation:
30/75 = 0.40
0.40*100 = 40
75 * 40% = 30
ent.psonsvc.net/#/question/b1e947ad-6841-4a77-b0a5-7ea88c76f674/3df88b41-2ef2-4268-97a2-4dc1283afd2e
OB. (-2, 6)
Review
1 Unit 7.3 Checkpoint - Transformations in the Coordinate Plane(8.G.2.8.G.3.8.G.4)(22-23 / 4 of 10
O C. (2,-6)
Bookmark
OD. (6, 2)
XD
Rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2). If the rectangle was rotated 90° clockwise about the origin,
what would be the coordinates of X'?
The coordinates of X¹ will be (6,-2), if the rectangle was rotated 90° clockwise about the origin.
Given that, rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2) respectively. We have to calculate the coordinates of X¹ when the rectangle was rotated 90° clockwise about the origin.
Rotation generally helps us to align the figures in the direction along with a fixed point. To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). So, (y,-x) will be the rotation of the coordinates about 90° clockwise about the point.
So, we have to calculate the coordinate after rotation of X(2, 6). Let's suppose after rotation X changes to X¹ then, we have
X(2, 6)→X¹(6,-2) when the rectangle was rotated 90° clockwise about the origin.
Therefore, (6,-2) is the required answer.
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