Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John. Write a simplified expression representing the total amount of magazines sold
Answer:
4x - 6
Step-by-step explanation:
Matt: x
Steve: 2(x - 2)
John: x - 2
Total magazines sold:
x + 2(x - 2) + (x - 2)
x + 2x - 4 + x - 2
4x - 6
The simplified expression representing the total amount of magazines sold is 4x - 6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John.
Let the variable Matt: x
Steve: 2(x - 2)
John: x - 2
Now Total magazines sold:
x + 2(x - 2) + (x - 2)
Solving;
x + 2x - 4 + x - 2
4x - 6
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A boy sits for 15 maths exams during the year and gains an average of 1.". He sits for one
more exam and receives a score of 65%. What is his new average?
New average
[tex] = \frac{1 + 65}{2} [/tex]
[tex] = \frac{66}{2} [/tex]
[tex] = 33[/tex]
Therefore, the boy's new average is 33%
At the bakery, a fresh cookie costs $0.95, but a day-old cookie only costs $0.61. How much
more is a fresh cookie?
Answer:
0.34
Step-by-step explanation:
Just subtract them
At the school Halloween dance. 85% of the students were present. If there are 765 students at the dance then how many total students are enrolled at school?
Answer:
900 students
Step-by-step explanation:
We have, 85% × x = 765 or, 85/100 × x = 765. Multiplying both sides by 100 and dividing both sides by 85, we have x = 765 × 100/85. So x = 900. If you are using a calculator, simply enter 765×100÷85, which will give you the answer.
Someone help me with this
Answer:
y=7.5x, y=9.25x, y=6x
Step-by-step explanation:
on the first table we have for 2 tikets $ 15 so the price for one ticket (also known as unit price) is 15/2= $ 7.5
the equation for the price of ticket must be
y= 7.5 x (where y is price you pay for x number of tikets)
on the second table you can pick that you have $37 for 4 tikets so unit price is 37/4= $9.25 per one ticket
y=9.25x
last table $12 for 2 tikets so for one ticket is 12/2=$6
y=6x
> Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points?
Answer:
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Step-by-step explanation:
Given that
Mean = μ = 15 points
SD = σ = 3 points
For calculating probability for a data point, first of all we have to calculate the z-score of the value.
We have to find the probability of score greater than 24, then the z-score of 24 is:
z-score = (x-μ)/σ
z = (24-15)/3
z = 9/3
z = 3
Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3
So,
[tex]P(z<3) = 0.9987\\P(z>3) = 1 - P(z<3) = 1-0.9987 = 0.0013[/tex]
Converting into percentage
0.0013 * 100 = 0.13%
Hence,
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Answer:0.15%
Step-by-step explanation:
Notice that 24 points is three standard deviations greater than the mean. Based on the Empirical Rule, 99.7% of the player's game scores are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the player's game scores are greater than three standard deviation more than the mean.
9 and 9 hundredths written in decimal form
Answer:
9.09
Step-by-step explanation:
9.09
Hope this helped, ❤️❤️❤️
Betty has $26 to buy plants for her greenhouse. Each plant costs $6. How
many plants can she buy? Do not include units in your answer.
Help
Answer:
4 plants
Step-by-step explanation:
Betty = $26
Plants = $6 each
[tex]\frac{26}{6}=4.3333[/tex]
Betty can buy 4 plants
What is the product of 1 2/3 and -3 1/2
Answer:
-5 5/6
Step-by-step explanation:
1 2/3=5/3
-3 1/2=-7/2
5/3*-7/2=-35/6= -5 5/6
Answer:
- 5 5/6 or Decimal: -5.833333
Step-by-step explanation
Solve the system of equations. y=6x+5 y=8x-7 what does x and y equal?
Dont mind my answer plzz helpppp
Answer:
ok it is an Oligarchy :D
Step-by-step explanation:
Find the slope between the given two points (-7, -13) (1, -5)
Answer:
1
Step-by-step explanation:
y2-y1/(x2-x1)
-5--13/1--7
8/8
Slope is 1
Answer: (slope) m = 1
Step-by-step explanation:
Estimate 5171 / 17 by first rounding each number so that it has only 1 nonzero digit.
Answer:
250
Step-by-step explanation:
5171/17
Estimate: 5000/20 = 500/2 = 250
Answer:
250
Step-by-step explanation:
round first to 5000/20 = 250
please give a brainiest
what is 105 divided by 3=
it has a remainder
Answer:Are you sure because when I divide it gives me 35 it’s no remainder and when I check to see if 35*3 is 105 it’s correct
Step-by-step explanation:
IAnswer:
I don't think there is a remainder
Step-by-step explanation:
You buy 6 items for $25,60. About how much did you spend?
Since the question is asking ABOUT, you would have to round 25.60. Since the tenth's place is greater than 5, 25.60 rounds up to 26. Then you would multiply 26 with 6. You will get your answer of 156.
Help me out here pleaseeeeeeee
Answer: [tex]3\frac{1}{5}[/tex]
have: [tex]6\frac{1}{2}=6.5;\\\\3\frac{3}{10}=3.3[/tex]
Syd ran than Jose: [tex]6.5-3.3=3.2=\frac{16}{5}=3\frac{1}{5}[/tex] (miles)
Step-by-step explanation:
Answer:
[tex]3\frac{1}{5}[/tex]
Step-by-step explanation:
First you want to find the least common denominator so we can figure out this problem.
We have [tex]3\frac{3}{10} , 6\frac{1}{2}[/tex] so all we need to do is multiply ONLY the fraction next to the 6 so we can figure out what 1/2 and 3/10 correlates to which you will get
By multiplying by 5 you can get the same equation so the common denominator relates to one another.You get 5 by doing 10/2 which is 5.so your new question is
[tex]3\frac{3}{10} , 6\frac{5}{10}[/tex]
Which is so much easier, all you need to do is subtraction between the two!
5/10-3/10 is 2/10
2/10=1/5
Then we got the whole numbers
6-3=3
so the answer is [tex]3\frac{1}{5}[/tex]
15% of what number is 12
Answer:80
Step-by-step explanation:
15% of 80 is 12
80/10=8=10%
8/2=4=5%
8+4=12=15% of 80
What is the solution to x 4 + 4x 3 ≤ 12x 2?
(–6, 2)
[–6, 2]
(–ꝏ, –6) U (2, ꝏ)
(–ꝏ, –6] U [2, ꝏ)
Answer:
The answer is B
Step-by-step explanation:
[-6,2]
The solution to the inequality is [–6, 2]. Then the correct answer is option B.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequality is solved as:-
x⁴ + 4x³ ≤ 12x²
x² ( x² + 4x ) ≤ 12x²
x² + 4x ≤ 12
x² + 4x - 12 ≤ 0
x² + 6x - 2x + 12 ≤ 0
Equate the factors to zero.
( x + 6 ) ( x - 2 ) = 0
x =( -6 , 2 )
Hence, the solution is x = ( -6, 2 ).
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In rhombus FGHJ, m∠1=43°.
What is m∠2?
Enter your answer in the box.
Answer:
47
Step-by-step explanation:
I took the test
bruh I need help ion know this stuff
Answer:
b and e
Step-by-step explanation:
Here is a system of equations.
{y=x+3
y = 2x + 6
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.
Answer:
It should be "one solution"
Step-by-step explanation:
After graphing the equations, the two lines only intersect at one point which makes it "one solution." Hope this helps.
I need the slope. The options are
A. -2 B. 0 C. 1 D. 2
Answer:
D.2
Step-by-step explanation:
The only feasible answer that I see fit, is D, as it is the only whole number that is perpendicular to the graph.
A chip used in the production of particleboard (Question 4) has a 15% chance of containing excessive bark. What is the probability of having more than 860 bark-free chips in a batch of 1,000
Answer:
0.2
Step-by-step explanation:
Given that:
P(particleboard with excessive bark) = 0.15
The P(that particleboard do not have excessive bark) = 1 - 0.15
i.e the population proportion number of success p = 0.85
The sample size (n) is given to be = 1000
To find the P(X ≥ 860)
Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.
The population mean [tex]\mu = n \times p[/tex]
[tex]\mu = 1000 \times 0.85[/tex]
[tex]\mu =850[/tex]
The population standard deviation [tex]\sigma = \sqrt{n*p(1-p)[/tex]
[tex]\sigma = \sqrt{1000*0.85*(1-0.85)}[/tex]
[tex]\sigma = \sqrt{1000*0.85*(0.15)}[/tex]
[tex]\sigma = \sqrt{127.5}[/tex]
[tex]\sigma = 11.2916[/tex]
Let X be the random variable which obeys a normal distribution;
Then;
[tex]P(X \ge 860) = P(Z\ge \dfrac{x- \mu}{\sigma})[/tex]
[tex]P(X \ge 860) = P(Z\ge \dfrac{860- 850}{11.2916})[/tex]
[tex]P(X \ge 860) = P(Z\ge \dfrac{10}{11.2916})[/tex]
P(X ≥ 860) = P(Z ≥ 0.8856)
P(X ≥ 860) = 1 - P(Z ≤ 0.8856)
From z table
P(X ≥ 860) = 1 - 0.8122
P(X ≥ 860) = 0.1878
P(X ≥ 860) [tex]\simeq[/tex] 0.2
Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2
Say hey certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at and average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018?
a. 70%
b. -27%
c. -17%
d. -75%
The bedroom of our house is 1,200 cubic meters. We know that there are 3.4×10^9
particles of dust per cubic meter. Write how many particles of dust are present in the bedroom of our house.
Help me right answer will get brainlyest and also for 15 points!
Answer:
B
Step-by-step explanation:
If you get y by itself, subtract x from both sides and get y= -x+11
two complementary angles have the ratio of 4:5. What is the measure of the smaller angle?
PLease help me urgent
Answer:
3
Step-by-step explanation:
rise/run = 6/2 =3
the water rised by 3 gallons each minute
14V + 5 − 5V = 4(V + 15)
Answer:
V=11
Step-by-step explanation:
Simplify:
14V-5V+5=4V+60
9V+5=4V+60
Subtract 4V on both sides:
9V-4V+5=4V-4V+60
Solve:
5V+5=60
Subtract 5 on both sides:
5V+5-5=60-5
5V=55
Divide by 5
V=11
Hope this helps!
Step-by-step explanation:
14V+ 5 - 5V= 4V+ 60|-60|-4V
14V + 5 -5 V - 60 - 4V =0
<=> 5V - 55 =0 |+55
<=> 5V = 55 |:5
<=> V= 11
Pat typed 2 pages on Monday, 3 pages on Tuesday, 5 pages on Wednesday, and 8 pages on Thursday. If she continues this pattern, how many pages will Pat type on Friday
Answer:
pay will type 13 pages on Friday