Solution:
Note that:
Given expression: (x² + 4x) − (x² + 6x − 3)Remove the brackets
(x² + 4x) − (x² + 6x − 3)=> x² + 4x - x² - 6x + 3Combine like terms
x²(1 - 1) + x(4 - 6) + 3=> x²(0) + x(-2) + 3=> -2x + 3Afia bought shoes that were on sale for `30\%` off the regular price. Afia saved `\$12`. What was the regular price of the shoes
Answer:
$40
Step-by-step explanation:
30% = .30
$12/0.30 = 40
[RevyBreeze]
[tex][Hello,BrainlyUser][/tex]
Answer:
$40
Step-by-step explanation:
Original Price = P
30% = .30 or .3
30% of P = 12
.3P = 12
P =12/.3 = $40
~[CloudBreeze]~
In a certain normal distribution, find the mean μ when σ = 5 and 5.48% of the area lies to the left of 78.
The mean of the normal distribution, using the formula for the z-score, considering the given data, is of 86.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The standard deviation is of [tex]\sigma = 5[/tex].5.48% of the area lies to the left of 78, hence when X = 78, Z has a p-value of 0.0548, that is, Z = -1.6.Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.6 = \frac{78 - \mu}{5}[/tex]
[tex]78 - \mu = -1.6(5)[/tex]
[tex]\mu = 86[/tex]
More can be learned about the normal distribution at https://brainly.com/question/24663213
My mom's friend bought cookbooks and travel books at a book sale. She spent $107 and bought 31 books. The cookbooks cost $2 apiece and the travel books cost $5 apiece. How many of each type of book did the friend buy?
MUST BE CORRECT OR ANSWER DELETED AND YOU WILL BE REPORTED.
Answer:
2
Step-by-step explanation:
$52 7books $6 CB which means she brought 2 which is $12$8 TB and then 7-2 because he already brought 2 CB so that means that he brought 5TB which is 40 Then add 40 +12 = $52 for 7 books
cookbooks be x
travel books be y
x+y=31--(1)2x+5y=107--(2)(1)×2
2x+2y=62--(3)Subtract (3) from (1)
3y=45y=15Now
x=31-15x=16rational expression,, please explain!
I understand mostly, but the subtraction sign throws me off...
Answer:
x = 2
Step-by-step explanation:
What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.
First, factor the denominator on the left side of the equation:
[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3} - \frac{1}{x-2}[/tex]
Then, create a common denominator on the right:
[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3}(\frac{x-2}{x-2}) - \frac{1}{x-2}(\frac{x+3}{x+3})[/tex]
[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)}[/tex]
Put everything on one side:
[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]
[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]
[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]
[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]
set each term equal to zero:
x - 10 = 0
x = 10
x + 3 = 0
x = -3
x - 2 = 0
x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.
Question 1 (1 point)
Train X travels 20 km/hr faster than train P. If train X travels 50 km in the same time
that train P travels 40 km. How long would it take Train X to travel 500 km?
Approximate you answer to 2 decimal places, and input your answer in hours.
By solving a system of equations, we will see that Train X travels 500km in 5 hours.
How to get the speeds of the trains?
Remember the relation:
distance = speed*time.
First, if Sx is the speed of the train X and Sp is the speed of the train P, we know that:
Sx - 20 km/hr. = Sp
Then, we know that in the time T in which X travels 50 km, P travels 40km, we can write that as:
50km = Sx*T
40km = (Sx - 20km/hr)*T
So we have a system of equations.
Now we can solve this to find the speed Sx, to do it, we need to isolate T on one equation.
T = 50km/Sx.
Now we can replace that with the other equation:
40km = (Sx - 20km/hr)*50km/Sx.
Now we can solve this for Sx.
40km*Sx = (Sx - 20km/hr)*50km
40km*Sx = Sx*50km - 1,000 km^2/hr
40km*Sx - Sx*50km = -1,000 km^2/hr
-Sx*10km = -1,000 km^2/hr
Sx = (-1,000 km^2/hr)/(-10 km) = 100km/h
Now we want to know how long the train X takes to travel 500km, so we need to solve:
500km = 100km/h*T
500km/(100km/h) = 5h = T.
The train will travel 500km in 5 hours.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Answer my question and get points
How many solutions do two parallel lines have?
Parallel lines don't have any solutions since they never intersect
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
he volume of this cube is 216 cubic yards. What is the value of d?
Answer:
do the cube root of 216
the answer is 6
because 6 * 6 * 6= 216
What’s the answer to this ?
Answer:
It would be the first option 8x-8y=32
A Big Mac at McDonald’s costs $3.99. A 10pc. chicken nugget costs $4.49. How much would it cost if you bought (2) Big Mac’s and (2) 10pc chicken nuggets?
Answer: 16.96
Step-by-step explanation: 3.99 times 2 = 7.98 4.49 times 2 = 8.98
8.98 + 7.98 = 16.96
Ms. York gave a math quiz to each of her two classes. The quiz scores of each class are shown below. Find the mean, median, and mode for the afternoon class. Using this information, which class do you think did better on the quiz? Explain How you got your answer.
Morning Class Quiz Scores Afternoon Class Quiz Scores
Quiz Score 91, 80, 75, 80, 60, 87, 80 80, 87, 90, 70, 93, 80, 85, 90
88, 90, 87, 92, 98 95, 80
Mean 84
Median 87
Mode 80
The mean score of the class is: 84.5
The median score of the class is: 87
The modal score of the class is: 84.5
What is the Mean, Median, and Mode of a Data?Mean = sum of all data points divided by the number of data points.
Median = the middle value of the ordered data.
Mode = the data point with the highest frequency or that appears the most.
Thus:
Arrange the data in ordered form:
60, 70, 75, 80, 80, 80, 80, 80, 80, 85, 87, 87, 87, 88, 90, 90, 90, 91, 92, 93, 95, 98
Mean = 1858/22
Mean = 84.5
Median = (87 + 87)/2 = 87
Mode = 80
Thus:
The mean score of the class is: 84.5
The median score of the class is: 87
The modal score of the class is: 84.5
Learn more about mean, median, and mode of a data on:
https://brainly.com/question/542771
Melissa made $221 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:
$169 Is correct.
Step-by-step explanation:
We know that Melissa made $221 for 17 hours, so using this ratio, we can calculate how much she made for 13 hours as follows
13 hours× [tex]\frac{221}{17~hours} =[/tex] $169
Therefore, the answer is $169
can use a lil help here please and thnx brainliest included
Provide two examples of a technology or product that have been devised to reduce the negative consequences of other technologies (for example, the ultrasonic emitters around wind turbines) that were NOT covered in the unit. The solution does not need to be high-tech; it may be a relatively simple design.
Answer:
Sound cap headphones protect hearing when you are using your cellphone, PC etc... Gas masks to protect you from gases like Mustard gas, smoke etc... I really want to lvl up so if you mark me brainly I would greatly appreciate it! :)Meaning of Constituted Authority
Answer:
ENGLISH:CONSTITUTED AUTHORITIES. Those powers which the constitution of each people has established to govern them, to cause their rights to be respected, and to maintain those of each of its members.SPANISH:AUTORIDADES CONSTITUIDAS. Los poderes que la constitución de cada pueblo ha establecido para regirlos, hacer respetar sus derechos y mantener los de cada uno de sus miembros.If the width of a rectangle plot is “x” and the length of the plot is 100-x/2, what is the maximum area of the plot?
Answer:Let x = length of the plot (in meters).
Then the two lengths use up 2x meters of the fencing,
. . . leaving 100 - 2x meters for the two widths.
This means each width is (100 - 2x)/2 = 50 - x meters.
The area of a rectangle is: Length x Width
. . . so we have: . A .= .x(50 - x)
We have a <u>parabola</u>: . A .= .- x<sup>2</sup> + 50x</sup>
We know that this parabola opens down (don't we?)
. . . so its vertex must be the highest point.
We're expected to know that the vertex is at: . x = -b/2a
For this problem, a = -1, b = 50, so we have: . x = -50/(2(-1) = 25
We have maximum A when x = 25.
This leaves 50 - x = 25 for the width.
Therefore, for maximum area, make the plot a 25-by-25 square.
Step-by-step explanation:
Answer:
1250 units squared
Step-by-step explanation:
if you're allowed to use a calculator;
write an equation that represents each circle
the answers circle with circle with hat with circle
pls answer asap need help
Answer:
See below
Step-by-step explanation:
(a) 4x - 22 = 74
(b) [tex] \dfrac{74 + 22}{4} [/tex]
(c) 24
The concentration of platinum in a necklace is 7%. The necklace weighs 18 g. Find the amount of platinum in the necklace.
Answer:
1.26 grams
Step-by-step explanation:
18 g * 0.07 = 1.26 g
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5 a=90
Answer:
Step-by-step explanation:
cosB = a/c = 4/5
so c = 5a/4 = 5*90/4 = 112.5
b² = c² - a² = 112.5² - 90² = 4556.25
b = 67.5
if you are wearing a black sweatshirt, what happens to most of the light that strikes it? (this is science but i cant find the science subject)
Answer:
The black colour will absorb the light.
Given two parallel lines, same side interior angles are supplementary. Fill
in the blanks with the correct answers.
1. Vertical angles are
2. Same side exterior angles are
3. Alternate side interior angles are
4. Alternate side exterior angles are
5. Corresponding angles are
What equation does the model below
represent?
Answer:
...
Step-by-step explanation:
Answer:
There is no model therefore the equation does not represent the model below
Step-by-step explanation:
Hope this helps mark brainliest please ;)
whats the solution to
3/4 x8 1/2=
Answer:
3
Step-by-step explanation:
I need help my teacher needs it tomorrow
[tex]\tt V=\dfrac{1}{3}\times base~area\times height\\\\V=\dfrac{1}{3}\times 8^2\times 12\\\\V=256~cm^3[/tex]
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Given :
The Perimeter of the rectangle is 60 cmThe ratio of the length to the width is 3:2.To Find :
The Length and width of the rectangle .⠀
Solution :
We know that,
[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]
Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.
⠀
Now, Substituting the given values in the formula :
[tex]\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{2(6x)= 60}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{12x= 60}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}[/tex]
[tex]\qquad \dashrightarrow{ \bf{x= 5}}[/tex]
Therefore,
[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:[/tex]
[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:[/tex]
444444r54drtfjfftddtcghgcgvvvvbvgiygygvvvvuygyv8uu8yut
Answer:
l
Step-by-step explanation:
l
In the figure, m ║ n and p is a transversal. Which of the following are alternate interior angles?
A. ∠1 and ∠7, ∠2 and ∠8
B. ∠2 and ∠8, ∠1 and ∠6
C. ∠3 and ∠5, ∠4 and ∠6
D. ∠3 and ∠7, ∠4 and ∠8
Rachel weighed her two cats, Tiger and Mittens. Tiger weighed 10.91 pounds, and Mittens weighed 178.08 ounces. Which cat is heavier, and how many pounds heavier is she?
a.
Tiger is 1.02 pounds heavier than Mittens.
b.
Tiger is 3.49 pounds heavier than Mittens.
c.
Mittens is 0.22 pounds heavier than Tiger.
d.
Mittens is 3.93 pounds heavier than Tiger.
ANSWER IS C
Answer:
answer is c
Step-by-step explanation:
178.08 oz = 11.13 lb
11.13-10.91 = 0.22 lb
Mittens is heavier than Tiger by 0.22 pounds.
What is mean by subtraction?Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.
Given that;
Rachel weighed her two cats, Tiger and Mittens.
Tiger weighed 10.91 pounds,
And, Mittens weighed 178.08 ounces.
Now, To compare the weights:
First, we convert the weights into ounces.
1 pound = 16 ounces.
Tiger weighed 10.91 pounds.
That means,
= 178.08 / 16
= 11.13 pounds.
And 11.13 > 10.91
Now, Subtracting the weights,
11.13 - 10.91 = 0.22 pounds
Therefore, Mittens is heavier by 0.22 pounds.
Learn more about the subtraction visit;
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HELP!! I dont know which one is the correct answer. I'll give brainliest
Answer:
[tex]\sf g = 13.18 \ units[/tex]
explanation:
the "g" refers to the opposite side of angle G
First solve for angle E:
E + 60° + 45° = 180°
E = 180° - 105°
E = 75°
Then using sine rule:
[tex]\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}[/tex]
[tex]\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}[/tex]
[tex]\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g[/tex]
[tex]\rightarrow \sf g = 13.18 \ units[/tex]
Please look at the picture and answer it thank you.
Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
Thus, 23 + 5x - 18 + 90 = 180.Step 1: Simplify both sides of the equation.
[tex](5x)+(23+90-18)=180[/tex] [tex]5x+95=180[/tex]Step 2: Subtract 95 from both sides.
[tex]5x+95-95=180-95[/tex] [tex]5x=85[/tex]Step 3: Divide both sides by 5.
[tex]5x/5=85/5[/tex][tex]x=17[/tex]Step 4: Check if solution is correct.
[tex](5*17-18)+23+90=180[/tex] [tex]67+23+90=180[/tex] [tex]180=180[/tex]Thus, x = 17.
Peter deposited 5000 ssp in the bank with an interest rate of 5% for 3 years what was the interest
Answer:
$250Step-by-step explanation:
First calculate what 1% of 5,000 is (50). Second multiply 50 by 5 (250) Now you got your answer! :)PS:Can you please mark me brainly? It would mean the world to me.