7(7 + 5r) = 7(2 + 6r) please show work
Answers
Answer:
r=5
Step-by-step explanation:
1. Use the division property
49+35r=14+42r
2. Combine like terms
35=7r
3. Divide
r=5
Answer:
r = 0
Step-by-step explanation:
7 ( 7 + 5r ) = 7 ( 7 + 6r )
First use the ditributive property of multiplication -
49 + 35r = 49 + 42r
Subtract 35r from both sides -
49 = 49 + 7r
Subtract 49 from both sides -
0 = 7r
r = 0
Hope this helped! :)
Related Questions
PLEASE RESPOND RIGHT!!
Answers
Answer:
Okay 6x
Step-by-step explanation:
show that the volume of material comprised by the links when their maximum stress equals allow is given approximately by v = 2wc/(allow sin 2).
Answers
The volume of material comprised by the links when their maximum stress equals allow is given approximately by v = 2wc/(allow sin 2).
To show that the volume of material comprised by the links when their maximum stress equals allow is given approximately by v = 2wc/(allow sin 2), we can use the following equation:
V = (π * d2 * l) / 4
where V is the volume, d is the diameter of the link, and l is the length of the link.
Now, if we assume that the links are cylindrical and we set the maximum stress equal to allow, then we can solve for l:
allow = σ = (π * d2 * l) / (4 * wc)
l = 4 * wc * allow / (π * d2)
Substituting this value of l into our original equation, we get:
V = (π * d2 * (4 * wc * allow / (π * d2))) / 4
V = 2wc * allow / (π * sin 2)
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If a bag contains 12 apples , 4 bananas, and 8 oranges, what is the part to whole ratio bananas to all fruit
Answers
Answer:
4:24
Step-by-step explanation:
if r = 0.97, as the independent variable b increase, one would expect the dependent variable to
Answers
Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answers
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
Which sum does the model below represent?
Answers
Answer:
The first one, 4 - 7 = -3
Step-by-step explanation:
When you add a negative to a postive, you are essentially subtracting the negative from the positive
Answer:
A
Step-by-step explanation:
Trust
If the volume of a cube-shaped box is 729 cubic inches, which equation would you use to determine
how many 1-inch cubes could fit along one side?
A. s=729−−−√3
B. s=729−−−√
C. s=7292
D. s=7293
HELP ASAP
Answers
Answer:it’s a I was stuck to
Step-by-step explanation:
HELP I WILL GIVE BRAINIEST
Answers
How many different "words" can be made from the given word by re -arranging the
letters?
KINDNESS
(don't have to be real words)
Answers
what is 5,901,452 in word and expanded form
Answers
Answer:
5,901,452 in word and expanded form.
Step-by-step explanation:
Word: Five million nine hundred-thousand and one four hundred fifty two.
Expanded: 5,000,000 + 900,000 + 1,000 + 400 + 50 + 2
APEX QUIZ ANSWER
What else would need to be congruent to show that ABC=AXYZ by ASA?
B
A. ZB=LY
B. AC = XZ
C. BC = √2
OD. LC= LZ
Correct
This is the correct answer.
Z
Givenc
ZA ZX
2C=22
Please like this to help others
Answers
We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.
What is ASA congruence of triangle?
The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.
We are given the following:
1. ∠A ≅ ∠X
2. ∠C ≅ ∠Z
Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.
The sides in between both the angles are AC and XZ.
Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.
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This shake is made from five congruent triangles. Find the total area of the shape
Answers
Area of one triangle = \(A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ \)
For 5 triangles = \(9 \times 5 = 45 {cm}^{2} \)
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True or False:
In a right triangle, if two acute angles are known, then the triangle can be solved.
A. False, because the missing side can be found using the Pythagorean Theorem, but the angles cannot be found.
B. True, because the missing side can be found using the complementary angle theorem.
C. False, because solving a right triangle requires knowing one of the acute angles A or B and a side, or else two sides.
D. True, because the missing side can be found using the Pythagorean Theorem and all the angles can be found using trigonometric functions.
Answers
C. False, because solving a right triangle requires knowing one of the acute angles A or B and a side, or else two sides.
In a right triangle, if one acute angle and a side are known, then the other acute angle and the remaining sides can be found using trigonometric functions or the Pythagorean Theorem.
A right triangle is a three-sided geometric figure having a right angle that is exactly 90 degrees. The intersection of the two shorter sides—known as the legs—and the longest side—known as the hypotenuse—opposite the right angle—creates this angle. A key idea in right triangles is the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Right triangles can have their unknown side lengths or angles calculated using this theorem. Right triangles are a crucial mathematical subject because of its numerous applications in geometry, trigonometry, and everyday life.
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Suppose the half-life of a certain radioactive substance is 12 days. Find the time when there will be 20% of the initial substance remaining. Assume you have 1 gram of the original substance.
pls help, it due today
Answers
Answer: 2.4% I think
12 x 20 / 100 = 2.4%
The time when there will be 20% of the initial substance remaining is 2.4%
Given that,
Suppose the half-life of a certain radioactive substance is 12 days. and, there is 20% of the initial substance remaining.calculation:= 12% of 20%
= 2.4%
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How do you tell if a log function is increasing or decreasing?
Answers
If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.
To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.
In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.
Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.
To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.
In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.
Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
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Select the sequences that are geometric.
18, 36, 54, 72, …
4.1, 8.2, 16.4, 32.8, …
–7, 14, –28, 56, …
980, 784, 627.2, 501.76, …
5, 2, –1, –4, …
Answers
Answer:
BCD
Step-by-step explanation:
Answer: B,C & D
Step-by-step explanation:
Find the slope of the line going through the points (-4, 13) and (8,-11).
Answers
Answer:
The Slope is -2
Step-by-step explanation:
The entered points belong to a decreasing, linear function.
Equation: y = -2x + 5.
Answer:
Slope = -2
Step-by-step explanation:
\(\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2\)
a) work out the radius of the mercury, giving your answer as an ordinary number
b) work out the difference between the masses of jupiter and saturn
Answers
Answer:
a. 2,440 km
b. \( 1.33*10^{27} kg \)
Step-by-step explanation:
a. Diameter of Mercury = \( 4.88*10^3 \)
Radius of Mercury = ½ of its diameter = \( \frac{4.88*10^3}{2} \)
Radius of Mercury = \( 2.44*10^3 \)
To convert the radius to ordinary number, multiply 2.44 by 1,000.
Radius of Mercury as an ordinary number = \( 2.44*1,000 = 2,440 km \)
b. Mass of Jupiter = \( 1.898*10^{27} kg \)
Mass of Saturn = \( 5.68*10^{26} kg \)
Difference between mass of Jupiter and mass of Saturn = \( 1.898*10^{27} - 5.68*10^{26} \) (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)
\( = 1.33*10^{27} \)
Location is known to affect the number, of a particular item, sold by an auto parts facility. Two different locations, A and B, are selected on an experimental basis. Location A was observed for 13 days and location B was observed for 18 days. The number of the particular items sold per day was recorded for each location. On average, location A sold 39 of these items with a sample standard deviation of 8 and location B sold 55 of these items with a sample standard deviation of 2. Select a 90% confidence interval for the difference in the true means of items sold at location A and B
Answers
We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:
\(\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }\)In order to use t*, we need to check conditions for using a t-distribution first.
Random for both samples -- NOT STATED in the problem ∴ proceed with caution!Independence for both samples: 130 < all items sold at Location A; 180 < all items sold at Location B -- we can reasonably assume this is trueNormality: CLT is not met; n < 30 for both locations A and B ∴ proceed with caution!Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.
Solve for t*:
We need the tail area first.
\(\displaystyle \frac{1-.9}{2}= .05\)Next we need the degree of freedom.
The degree of freedom can be found by subtracting the degree of freedom for A and B.
The general formula is df = n - 1.
df for A: 13 - 1 = 12df for B: 18 - 1 = 17 df for A - B: |12 - 17| = 5Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.
t* = -2.015Now we can use the formula at the very top to construct a confidence interval for two sample means.
\(\overline {x}_A=39\) \(s_A=8\) \(n_A=13\) \(\overline {x}_B = 55\) \(s_B=2\) \(n_B=18\) \(t^{*}=-2.015\)Substitute the variables into the formula: \(\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }\).
\(39-55 \ \pm \ -2.015 \big{(}\sqrt{\frac{(8)^2}{13} +\frac{(2)^2}{18} } } \ \big{)}\)Simplify this expression.
\(-16 \ \pm \ -2.015 (\sqrt{5.1453} \ )\) \(-16 \ \pm \ 3.73139\)Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:
\((-20.5707,-11.4293)\)If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...
We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.
The temperature at 9:00pm one evening was 40 Fahrenheit. Over the next 4 hours the temperature dropped at n average rate of 3 per hour. What was the temperature at 1:00am?
Answers
Answer:
28 degrees Fahrenheit
Step-by-step explanation:
If the temperature at 9:00pm one evening was 40 Fahrenheit. And for the next 3 hour it dropped 3 degrees per hour then it would be
40 - 4 times 3 =
40 - ( 4 times 3 ) =
40 - 12 = 28 degrees Fahrenheit
Decrease 54 kg in the ratio 7:9
Answers
9514 1404 393
Answer:
42 kg
Step-by-step explanation:
We assume you want 7/9 of the whole amount.
(7/9)·(54 kg) = 7·(54/9 kg) = 7·6 kg = 42 kg
_____
Additional comment
We're used to seeing problems where a division into a given ratio is required. It is unusual to see a problem asking for a decrease by a ratio. It isn't exactly clear what that means.
Our first interpretation is that the intent is to find the given fraction of the whole. If the intent is to decrease the whole by that fraction, then the result will be 54 -42 kg = 12 kg.
4 2– 3 × 2 × ( 7 3 ÷ 7 6 )
Answers
Answer:
36.24
Step-by-step explanation:
- 3 * 2 = - 6
73 / 76 = 0.96
0.96 * (-6) = -5.76
42 - 5.76 = 36.24
Help it’s homework please it’s due today
Answers
Answer:after an hour i think it's at the sea
Step-by-step explanation:
Answer:
The answer is back at sea level or 0
Step-by-step explanation:
This is because the two 1/5 cancel each other out
Hope this helps! :)
how many solutions can be found for the linear equation 4(2x + 3) = 2(4x + 6)
Answers
Answer:
It has a slope of 0 so it would have to be a straight line.
Step-by-step explanation:
Diane sold some stuffs at a garage sale. She spent one-half of the money she made on a new bicycle. Next, she spent one-half of what was left on a portable stereo. If Diane had $40.00 left, how much money did she make from the garage sale
Answers
Answer:
$160
Step-by-step explanation:
Diane sold some stuffs at a garage sale.
Let the total value of the money Diane made = x
She spent one-half of the money she made on a new bicycle.
Amount spent on a Bicycle = 1/2 × x = 1/2x
Next,
Amount left
= x - 1/2x = 1/2x
She spent one-half of what was left on a portable stereo.
Amount spent spent on Portable stereo
= 1/2 × 1/2x
= 1/4x
If Diane had $40.00 left,
Hence:
The fraction of what was left is calculated as:
= x - (1/2x + 1/4x)
= x - (3/4x)
= 1/4x
Hence:
1/4x = $40
We can find the value of x now.
1/4 × x = $40
x/4 = $40
x = $40 × 4
x = $160
Therefore, the amount she made from the garage sale is $160
Answer:
Hey hey guys, it is 160.00
Step-by-step explanation:
I don’t know how to do this.
Answers
b. The rate of change of the drone's height is negative, as it is descending towards the ground. This means that the value of the linear function (i.e., the height of the drone) is decreasing as time passes.
c. To find the equation that models the drone's descent as time increases, we need to use the two pieces of information given in the problem: that the drone hovers at 16 meters for a few minutes before descending, and that it reaches the ground after 6 seconds.
Let's define the linear function as h(t), where h represents the height of the drone and t represents the time elapsed since the drone started descending.
We know that the drone hovers at 16 meters for a few minutes, so we can say that h(t) = 16 for t < t0, where t0 is the time when the drone starts descending.
Once the drone starts descending, we know that it takes 6 seconds to reach the ground, so we can write:
h(t) = 16 - rt, where r is the rate of descent (in meters per second).
To find r, we can use the fact that the drone reaches the ground after 6 seconds. This means that when t = 6, h(t) = 0:
0 = 16 - r(6)
Solving for r, we get:
r = 16/6 = 2.67
Therefore, the equation that models the drone's descent as time increases is:
h(t) = 16 - 2.67t, for t ≥ t0.
81% of the money spent at full-service restaurants in America takes place by debit, credit, or pre-paid cards. One restaurant kept data for the week, and found that 421 of it's 973 customers used either debit, credit, or pre-paid cards to pay for their meal that week. Choose all possible reasons for the discrepancy in the results.
Choices:
1. The theoretocal probability is not calculated correctly
2. The experiment is flawed
3. Enough trials have not been performed to give the desired result.
4. There is no discrepancy in the result
choose all answers that apply.
Answers
The discrepancy in the results: The theoretical probability may not be calculated correctly and enough trials have not been performed to give the desired result
In the given scenario, 81% of money spent at full-service restaurants in America is through debit, credit, or pre-paid cards. However, one restaurant found that 421 out of 973 customers used these payment methods. Possible reasons for the discrepancy in the results are:
1. The theoretical probability may not be calculated correctly: The 81% figure might not accurately represent the actual proportion of customers using cards in full-service restaurants. It could be due to incorrect data collection or interpretation.
3. Enough trials have not been performed to give the desired result: The data from one restaurant for one week might not be enough to accurately reflect the overall trend. A larger sample size and longer time frame would give a more accurate representation.
It's important to note that there might not necessarily be a discrepancy in the result; it could be a difference due to variations in individual restaurant data compared to the overall average.
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A car company tested a sports car on a road with different inclines. the test driver tested the car by driving a distance of x miles on a flat road, (x2 3) miles downhill, and (x − 7) miles uphill. which simplified expression is equivalent to the total distance, in miles, for which the car was tested? 3x2 − 4 3x2 10 x2 2x − 4 x2 2x 10
Answers
Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .
Total distance drive on flat road = x miles
Total distance drive on downhill = (x²+ 3) miles
Total distance drive on uphill = ( x - 7 ) miles
Simplified expression which is equivalent to total distance drive by a car
= Distance drive on ( flat road + downhill + uphill )
= ( x + x²+ 3 + x - 7 ) miles
= ( x² + 2x - 4 ) miles
Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c. ( x² + 2x - 4 ) miles.
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The above question is incomplete , the complete question is:
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road, (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?
a.3x² _ 4
b. 3x² + 10
c. x² + 2x - 4
d. x² + 2x + 10
How to get 9/4 as a decimal or equivalent to a answer.
Answers
Answer:
2.25
Step-by-step explanation:
hope this helps :)....
Please help me I’m stuck.
Answers
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
\(A=\frac{1}{2}absinC\) , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:
\(A=\frac{1}{2}(17)(15)sin35\)
Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared