Answer:
Step-by-step explanation:
[tex]6=m-\frac{7}{8}\\\\6+\frac{7}{8}=m\\\\\frac{6*8}{1*8}+\frac{7}{8}=m\\\\\frac{48}{8}+\frac{7}{8}=m\\\\\frac{55}{8}=m\\\\m=\frac{55}{8}[/tex]
What are the solutions to (x+7) squared = 81
Answer:
x=2
Step-by-step explanation:
- Take the square root of both sides of the equation so that we can get rid of the squared on the x+7
- The square root of 81 is 9
- so now, the equation is x+7=9
- subtract seven from both sides
If a reporter for your local newspaper conducts a survey on music preference and only asks people leaving a country music concert, explain why this is a biased sample.
It’s biased because he is asking people who left a country concert and usually people who go to concerts go because it’s the type of music that they like, so the chances of someone saying they like a different kind of music probably won’t happen.
A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake
they make. If a cake sells for $15, which equation could be used to determine the
minimum number of cakes, c,they must sell each day to earn a profit? *
A. 15c < 1,800 + 10c
B. 15c > 1,800 + 10c
C. 10c < 1,800 + 15c
D. 10c > 1,800 + 15c
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
Profit=Total revenue - total cost
Profit is achieved:
when total revenue is greater than total cost
TR>TC
Or
When total cost is less than total revenue
TC<TR
From the question
Total cost=1800+10c
Total revenue=15c
Profit=TR>TC or TC<TR
15c>1800+10c
Or
1800+10c<15c
Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.
Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain
operating cost = 1800 + 10c
where
c = number of cakes sold each day
The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost 1,800 + 10c for them to make profit.
15c > 1,800 + 10c
Marcia performs an experiment in which she pulls a marble from a bag. In her
experiment, she finds that she is twice as likely to pull a red marble as a blue
marble. If Marcia pulls 10 red marbles, how many blue marbles does she pull?
Answer:
She pulls 5 blue marbles
Step-by-step explanation:
Let x be the number of blue marbles
We are given that In her experiment, she finds that she is twice as likely to pull a red marble as a blue marble.
So, Number of red marbles = 2x
We are given that Marcia pulls 10 red marbles
So, [tex]2x = 10[/tex]
[tex]x =\frac{10}{2}[/tex]
x=5
Hence She pulls 5 blue marbles
Aaron compared the counts of two species of bacteria after being treated with an antibiotic. The results are shown in the table below. Time (hours) Bacteria 1 Count Bacteria 2 Count 0 6,000 8,000 1 5,000 6,000 2 4,500 4,500 3 4,000 3,375 4 3,200 2,531 Which statement best describes this situation? A. The counts of both species are changing exponentially. B. Only the count of bacteria 1 is changing exponentially. C. The count of neither of the species is changing exponentially. D. Only the count of bacteria 2 is changing exponentially.
Answer:
Second Option: Only the count of bacteria 2 is changing exponentially.
Gerardo spins a spinner with four equal sections, labeled A, B, C, and D, twice. If letter A is spun at least once, Gerardo wins. Otherwise, Odell wins. Use a list to find the sample space. Then find the probability that Odell wins.
Answer:
3/4
Step-by-step explanation:
Final answer:
The probability of Odell winning, which happens when 'A' is not spun at all, is 9 out of 16 possible outcomes when the spinner is spun twice. We calculate this by counting the number of outcomes without 'A' (9) and dividing by the total number of outcomes (16).
Explanation:
To find the probability that Odell wins, we first need to list all the possible outcomes when Gerardo spins the spinner twice. Since the spinner has four equal sections labeled A, B, C, and D, we can list the sample space (S), which includes every combination of two spins:
AA
AB
AC
AD
BA
BB
BC
BD
CA
CB
CC
CD
DA
DB
DC
DD
For Gerardo to win, A must appear at least once. We can identify the outcomes in which A does not appear at all, which would be the cases where Odell wins:
BB
BC
BD
CB
CC
CD
DB
DC
DD
There are 9 outcomes where A does not appear. Since each combination is equally likely, we can calculate the probability (P) that Odell wins by determining the ratio of these 9 outcomes to the total 16 outcomes in the sample space:
P(Odell wins) = Number of Odell winning outcomes / Total outcomes = 9 / 16
Therefore, the probability that Odell wins is 9/16.
what’s the difference between 100ft and 50ft?
Answer:
50ft
Step-by-step explanation:
A roofer leaned a 16 foot ladder against a house if the base of the ladder is 5 feet from the house how high up the house does the ladder reach
Answer:
15.2 feet
Step-by-step explanation:
We use Pythagorean Theorem to find the height.
The hypotenuse of the formed triangle = length of ladder = 16 feet
base = 5 feet
let h = height of house
16 ^2 = 5^2 + h^2
256 = 25 + h^2
231 = h^2
h = root(231) = 15.1986 feet
If the scale factor of Figure A to Figure B is 3:8, find the value of x.
We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.
We will use proportions to solve our given problem.
[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]
Upon substituting the ratio between figure A and figure B, we will get:
[tex]\frac{3}{8}=\frac{x}{24}[/tex]
[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]
[tex]\frac{3}{1}\cdot 3=x[/tex]
[tex]9=x[/tex]
Therefore, the value of x is 9.
In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.
The value of [tex]x[/tex] is 9.
Given:
The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].
Write the equation for proportion.
[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]
Apply the cross multiplication rule.
[tex]3\times24=8\times x[/tex]
Further solve for the [tex]x[/tex].
[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]
Thus, the value of [tex]x[/tex] is 9.
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There are 28.35 g in an ounce and 2.21 lb in a kilogram. Juanita converts 3 kilograms to ounces. Is her conversion correct? Explain.
Answer:
3 kg = 105.82 ounces
Step-by-step explanation:
We have,
1 ounce = 28.35 g
and
1 kg = 2.21 lb
If we want to the value of 3 kg to ounces. The direct relation between kilogram to ounce is as follows :
1 kg = 35.274 ounces
It means,
3 kg = 105.82 ounces
So, the value of 3 kg is equal to 105.82 ounces.
Answer:
“Although she set up the conversion correctly, she is not correct. She must have made an error when multiplying and dividing”
Step-by-step explanation:
Edge <3
You randomly draw a marble from a bag, record its color, and then replace it. You draw a green marble 19 out of 50 times. What is the experimental probability that the next marble will be green? Write your answer as a fraction, decimal, or percent.
Final answer:
The experimental probability of drawing a green marble next based on past draws is 19 out of 50, which can also be represented as 0.38 or 38%.
Explanation:
The question asks about the experimental probability of drawing a green marble from a bag given prior outcomes. To find the experimental probability, you divide the number of times the event of interest (drawing a green marble) occurred by the total number of trials. In this case, a green marble was drawn 19 times out of 50 total draws.
Therefore, the experimental probability is 19/50. This can also be expressed as a decimal, 0.38, or as a percent, 38%.
Brandy is putting an 8 foot diameter circular floeer garden in his yard he will put plastic edging along the flowerbed how many feet of edging will brady need to enclose his flower garden, how man square feet are in bradys garden
Answer:
Brady will need 25.12ft of edging
There are 50.24ft² in bradys garden
Step-by-step explanation:
radius = half of diameter
r = 8ft /2 = 4ft
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 4ft
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 4ft
c = 25.12ft
Brady will need 25.12ft of edging
To solve the second part of the problem we need to use the area formula of a circle:
a = area
r = radius = 4ft
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (4ft)²
a = 3.14 * 16ft²
a = 50.24ft²
The area of the circle is 50.24ft²
It says it in the image please help me
Answer:
The answer you have selected should be correct.
A rectangular computer screen has an area of a spuare inches the width of the computer screen is 7 inches. Which equation represents x,the length of the computer screen in inches?
Answer:
x = A(x) / 7
Step-by-step explanation:
A rectangular shape screen has an area A(r) in square inches
A(r) = w * x where w is width and x is length
If we know A(r) and w = 7 in, we can express A(x) area of the rectangular screen as;
A(x) = 7*x ⇒ x = A(x) / 7
Garbage the amount of garbage that the average american adds to a landfill daily is 4.6 pounds. If at least 2.5 pounds of a person's daily garbage could be recycled, how much will still go into a landfill
Answer:
2.1 pounds
Hope this helps!
(Please mark brainliest)
The amount of garbage left of landfill is 2.1 pounds.
Given that, the average American adds to a landfill daily is 4.6 pounds.
What is the difference of two decimal numbers?Subtracting decimals:
1. Write down the two numbers, one under the other, with the decimal points lined up.
2. Add zeros so the numbers have the same length.
3. Then subtract normally, remembering to put the decimal point in the answer.
Amount of garbage left on landfill
= 4.6-2.5
= 2.1 pounds
Therefore, the amount of garbage left of landfill is 2.1 pounds.
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Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality? x Greater-than-or-equal-to 2236 x Greater-than-or-equal-to 7764 x Less-than-or-equal-to 2236 x Less-than-or-equal-to 7764
Answer:
A) x >(Greater-than-or-equal-to) 2236
Step-by-step explanation:
The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236) which is option a.
What is Inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
a ≠ b says that a is not equal to b
a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality)
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b
According to question
Their savings are $2764
and they need $5000
so inequality is (2764 + x) ≥ 5000
On solving
2764 + x ≥ 5000
x ≥ 5000 - 2764
x ≥ 2236
Hence, The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236).
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Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third power. Alisha claims that the first step to simplify is to apply the quotient of powers. Who is correct? Explain. (StartFraction m squared n Superscript negative 3 Baseline Over m Superscript 6 Baseline n Superscript negative 1 Baseline EndFraction) cubed
Answer:
Sample Response: Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.
plz thank if you learned
Be sure to make it into your own words so that it is not the same.
Alisha is correct; one should apply the quotient of powers rule by subtracting the exponents of the numerator and the denominator before cubing the expression. The simplified form is then found by raising the result to the third power, multiplying the exponents by three.
Explanation:Between Tyrone's and Alisha's claims, Alisha's approach is correct. The expression to simplify is ((m2n-3)/(m6n-1))3. According to the rules for dealing with exponents, when you have a fraction being raised to a power, you apply the quotient of powers rule before cubing the entire expression. This means that you first subtract the exponents within the numerator and the denominator before raising the simplified result to the third power.
The correct steps are as follows:
Prices were recorded for all the loaves of bread in a supermarket, the mean price for a loaf of bread was $1.37 with a standard deviation of $0.67, Find the probability that if 13 loaves are selected the mean price is less than $1.00.
A 0.0032
B 0.5643
C 0.9105
D 0.0233
Answer:
[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]
And we want this probability:
[tex] P(z<-1.991)[/tex]
And using the normal standard distribution or excel we got:
[tex] P(z<-1.991)= 0.0233[/tex]
And the best option would be:
D 0.0233
Step-by-step explanation:
For this case we have the following parameters:
[tex] \mu = 1.37, \sigma =0.67[/tex]
And we select a sample size of n=13. And we want to find this probability:
[tex] P(\bar X <1)[/tex]
We can assume that the distribution for this case is normal and then we can use the z score formula given by:
[tex] z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And if we replace the data given we got:
[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]
And we want this probability:
[tex] P(z<-1.991)[/tex]
And using the normal standard distribution or excel we got:
[tex] P(z<-1.991)= 0.0233[/tex]
And the best option would be:
D 0.0233
Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,
2 marbles are green, 18 marbles are clear, and 7 marbles are striped. Click and drag
the letters onto the probability scale to order the likelihood that the event will happen.
The student's question addresses the probability of selecting marbles of specific colors from a bag, which involves using combinatorics and probability theory, such as hypergeometric and multinomial distributions, for calculation.
Explanation:The student's question pertains to the calculation of the probability of selecting marbles of a certain color from a bag, given a total number of marbles and the number of marbles of each color. The problems require knowledge of combinatorics and probability theory to solve.
Example 1
If a bag contains 50 marbles and 15 of them are green, the probability of choosing exactly 3 green marbles out of 10 selected can be calculated using the hypergeometric distribution. This involves using combinations to find out how many ways 3 green marbles can be chosen from 15, and how many ways 7 other marbles can be chosen from the remaining 35. These results are then divided by the number of ways to choose any 10 marbles from 50.
Example 2
When considering a bag with different colored marbles and drawing without replacement, the probability changes after each draw because the composition of the bag changes. The probability of drawing two specific colors in sequence requires multiplying the probability of drawing the first color with the probability of drawing the second color after the first has been removed.
Example 3
In scenarios where marbles are replaced after drawing, like with James and the blue and white marbles, the probability remains the same for each draw because the composition of the bag does not change.
Example 4
The multinomial distribution is used when we want to find the probability of a combination of outcomes happening over a series of events, such as drawing different color marbles a certain number of times with replacement.
Can someone help me with this! It would be much appreciated!!
Answer:
1. parallelogram
2. trapezoid
3.rectangle
4. parallelogram
5. trapezoid
6. rhombus
7.rectangle
8. rhombus
The Reliable Car dealership sells cars and trucks. The cars and trucks
come in red, white, and silver. Damon made this table to show the cars
and trucks that are on the lot today.
Red White Silver
Car
45
41
46
Truck
21
24
23
What is the experimental probability that the next vehicle that comes
on the lot will be a red car?
the probability is
The experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.
The question is asking for the experimental probability that the next vehicle that comes on the lot will be a red car. To find this, we need to divide the number of red cars by the total number of vehicles on the lot. From Damon's table, we see that there are 45 red cars on the lot. The total number of cars and trucks is calculated by adding all the numbers in the table: 45 (red cars) + 41 (white cars) + 46 (silver cars) + 21 (red trucks) + 24 (white trucks) + 23 (silver trucks) = 200 vehicles in total.
To find the experimental probability, we divide the number of red cars by the total number of vehicles:
Experimental Probability = Number of Red Cars / Total Number of Vehicles
Experimental Probability = 45 / 200
This simplifies to:
Experimental Probability = 0.225 or 22.5%
Therefore, the experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.
can someone help me pls
Answer:
from least to greatest 112 121 124 137 147 156 173 189
Step-by-step explanation:
if you subtract each number from a number that is greater than all the numbers for example 200 then what ever has the most left will be greatest and least will be least for example 121 - 200 is negative 79 and 189 - 200 is negative 11 negative 11 is higher so its a greater number there is also easier ways to do this but this is just extra
Explanation:
Step 1) Put the numbers in order from smallest to biggest. That order would be {112, 121, 124, 137, 147, 156, 173, 189}
Step 2) There are 8 items in the list above. This is an even number of values. The middle most number is tied between 137 and 147 (slots 4 and 5). Average these two values to get (137+147)/2 = 284/2 = 142. The number 142 is exactly halfway between 137 and 147.
Joe drew 32 pictures in his sketch book. He drew four times as many pictures as Kevin. How many pictures did Kevin draw?
Answer:
8
Step-by-step explanation:
Find equivalent expressions
Answer:
RELATED
How to Multiply Fractions With Common Denominators
Updated April 24, 2017
By Pharaba Witt
Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.
Using Distributive Property
Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.
Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.
Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.
Using Factoring
Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.
Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.
Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).
Step-by-step explanation:
ABCD is a parallelogram.
E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE.
To prove that triangle ABE is congruent to triangle CDE, we can use the SAS (Side-Angle-Side) congruence criterion by establishing that AB = CD and AE = EC, and angle BEA is common to both triangles.
Explanation:We can use the SAS (Side-Angle-Side) congruence criterion to prove triangle ABE is congruent to triangle CDE.
First, note that since ABCD is a parallelogram, opposite sides are parallel and congruent, so AB = CD.
Next, since the diagonals of a parallelogram bisect each other, we have AE = EC and BE = ED.
Finally, since AE = EC and AB = CD, we have two pairs of congruent sides and the included angle BEA is common to both triangles. Therefore, by the SAS criterion, triangle ABE is congruent to triangle CDE.
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Triangles ABE and CDE are congruent by the SSS criterion, as in parallelogram ABCD the opposite sides are equal and diagonals bisect each other, making the corresponding sides of the triangles equal.
To prove that triangle ABE is congruent to triangle CDE in a parallelogram ABCD, where point E is the intersection of diagonals AC and BD, we can use the properties of parallelograms and the concept of congruent triangles.
First, in parallelogram ABCD, opposite sides are equal, hence AB = CD, and AD = BC. Also, diagonals of a parallelogram bisect each other, so AE = CE, and BE = DE. By the Side-Side-Side (SSS) criterion for congruence of triangles, if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
Thus, in triangles ABE and CDE:
AB = CD (opposite sides of a parallelogram are equal)AE = CE (diagonals bisect each other)BE = DE (diagonals bisect each other)Since all three corresponding sides of triangle ABE are equal to the corresponding sides of triangle CDE, by the SSS criterion, triangle ABE is congruent to triangle CDE.
What’s 637/1000 simplified ????
HURRY!!!
Answer:
You can't simplify it. 637 over 1000 simplified is 637/1000, unless you can put a decimal?
Step-by-step explanation:
A system of equations consists of two lines. One line is represented by the equation y - 6 = 2x and the other line is represented by the equation y = 2(x+1) + 4. What can you determine about the solution(s) to this system?
a) One Solution (-2, 1)
b) No Solution
c) An Infinite Number of Solutions
d) One Solution (2,8)
Answer:
c) An Infinite Number of Solutions
Step-by-step explanation:
y - 6 = 2x
y = 2(x+1) + 4.
Solve the first equation for y
y = 2x+6
Set the two equations equal
2x+6 = 2(x+1) +4
Distribute
2x+6 = 2x+2+4
2x+6 = 2x+6
Subtract 2x from each side
6 = 6
This is always true so there are infinite solutions
1114.666666666 rounded to the nearest hundred
Answer:
1,114.67
Step-by-step explanation:
Answer:
1114.67
Step-by-step explanation:
Just yeah... It's right..
Which decimal is equivalent to 8.11 ? A. 0.72 B. 0.72 C. 0.88 D. 0.88
Answer:A
Step-by-step explanation:
Michael invested 5,000 in an account that has a 5.5% annual interest rate. What equation best describes investment after T years?
Answer:
V = 5000 + 275*T for simple annual interest
or: A = 5000 * (1.055)^T for an annual compound interest
Step-by-step explanation:
I assume this is a simple interest rate. If not I will give the one for compound interest.
V = 5000 + 5000* 0.055 * T (Value of account after T years)
V = 5000 + 275*T for simple annual interest
or: A = 5000 * (1.055)^T for an annual compound interest
The equation that best describes the investment after T years is I = P * r * T, where I is the investment value, P is the principal amount, r is the interest rate, and T is the number of years.
Explanation:The equation that best describes the investment after T years is:
I = P * r * T
Where:
I is the investment value after T years
P is the principal amount initially invested ($5,000 in this case)
r is the interest rate per year (5.5% as a decimal, which is 0.055)
T is the number of years
For example, if T = 3 years, the equation would be:
I = 5000 * 0.055 * 3 = 825
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