Answer:
y = ⁷/5x + 13/10
Step-by-step explanation:
Recall: equation in slope-intercept form is given as y = mx + b
Thus, let's rewrite 14x - 10y = -13 in this form.
14x - 10y = -13
Add -14x to both sides
-10y = -14x - 13
Divide both sides by -10
-10y/-10 = -14x/-10 - 13/-10
y = ⁷/5x + 13/10
sphere has a diameter of 14 ft. What is its surface area?
Morty spent $54 on tulips and roses and bought a total of 14 flowers. If tulips cost $5 and roses $3
Let t = number of tulips bought
Let r = number of roses bought
a) Write the system.
b) How many of each flower did Morty buy? (Solve the system)
Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
What’s the correct answer for this question?
Answer:
10
Step-by-step explanation:
2(6+1) - |-10| + 3*2
= 2 (7) - (+10) + 6
= 14 - 10 + 6
= 20 - 10
= 10
Answer: 10
Step-by-step explanation:
Given
2 ( 6 + 1 ) - | -10 | + 3 × 2
Expand parenthesis
= 12 + 2 - | -10| + 3 × 2
Simplify absolute value
= 12 + 2 - 10 + 3 × 2
Do multiplication
= 12 + 2 - 10 + 6
Simplify
= 14 - 4
= 10
Hope this helps!! :)
Please me know if you have any questions
A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship between the number of minutes, x, and the total number of stitches, y, what is the independent and dependent variable? (EE.C.9b)
Answer:
Step-by-step explanation:
x is the independent variable. y is the dependent variable.
Dependent variables take their values based on values of independent variables. In the considered case, we have:
Independent variable is x = number of minutesDependent variable is y = total number of stitchesWhat are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
The variables who take their values based on some other variables' values are called dependent variables.
For the considered case, the two variables in consideration are:
x = number of minutesy = the total number of stitchesTime doesn't depend on number of stitches. Its thus, measuring an independent quantity.
The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'
Thus, variable 'y' is dependent variable.
Therefore, in the considered case, we have:
Independent variable is x = number of minutesDependent variable is y = total number of stitchesLearn more about dependent and independent quantities here:
https://brainly.com/question/19622665
Given f(x) = 2x^2 - 3 and g(x) = x + 4.
What is (f g)(x)?
Answer:
2x³+8x²-3x-12
Step-by-step explanation:
It means function f times by function g.
so fg= (2x²-3)(x+4)=2x³+8x²-3x-12
You took out a loan for $15,000 for 3 years with an interest rate of 3.5%. Including interest, how much will you pay total?
Answer:
39%
Step-by-step explanation:
Question 5: 10 pts
There are 40 pieces of building blocks in a bag. 10 each of blue, green, red, and yellow. Two pieces are chosen
at random. Identify the probability that both of the pieces chosen are green
Answer:
The answer is 3/52
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
jkh and ihk
Step-by-step explanation:
Answer:
<JHK and IHK
Step-by-step explanation:
please help me im stuck on this question
Answer:
78.0 kilo
Step-by-step explanation:
85.8- 93.6= 7.8
101.4-93.6= 7.8
85.8-7.8 = 78.0 kilo
Classify the angle pair using all names that apply
Answer:
Adjacent
Step-by-step explanation:
∠3 and ∠4 share a common vertex & arm
Help me and I’ll give you brainliest
Answer:
i think its 60
Step-by-step explanation:
Please help!! Due in 45 minutes.
Answer:
[tex]x = \frac{56}{9} , y =-\frac{26}{3}[/tex]
Step-by-step explanation:
Calculator work :)
Plz help me, ASAP look at the photo
Answer:
Input Output
0 1
2 2
-8 -3
100 51
Step-by-step explanation:
Given
The rule: input ⇒ ÷2+1 ⇒ output
Solve
0 ⇒ 0÷2+1 ⇒ 1
2 ⇒ 2÷2+1 ⇒ 2
-8 ⇒ -8÷2+1 ⇒ -3
100 ⇒ 100÷2+1 ⇒ 51
Hope this helps!! :)
Please let me know if you have any questions
Please solve
Step by step
How would one convert 6 lb to ounces (16 oz = 1 lb)?
O A. 6 lb
16 oz
1 lb
O B.
6 lb
16 OZ
O C. 6 lb x 16 oz
O D. 61bx
1 lb
16 oz
Answer:
6 * 16
Step-by-step explanation:
One pound is 16oz.
Multiply the number of pounds by 16.
6 * 16 = 96
6 pounds is 96oz.
Hope this helps.
Answer:6lb x 16oz/1lb
Step-by-step explanation:just took the test
The selling price for a classic painting is $16,000, which is $2000 less than two times its original price. What was the original price of the painting?
Answer:
$9,000
Step-by-step explanation:
$16,000 + $2,000 = $18,000
$18,000/2 = $9,000
I think this is correct but I'm not sure.
find the area of the triangle
!NO LINKS, NO FILES!
please :)
Answer:
1125cm²
Step-by-step explanation:
The answer is in the link -----> www://jk.com lol
30 x 75 ÷ 2 = 1125cm²
Who can figure out the answer (3 x 1) +(6x 100)=X
Answer:
26
Step-by-step explanation:
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
How do you convert length to cm, in, ml etc.
Answer:
Use an online converter but there is something you should know
Step-by-step explanation:
There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).
Converting measurements in the imperial system by memory is very hard, but converting measurements in the metric system is more simple.
It is easier to learn by images so here is an image that explains it
Keep in mind that measurements like inches and centimeters are for distance, while gram and ounces are for weight.
How are these two images the same but different?
\large x+4=9
\large x+4
Post at least 1 similarity and 1 difference.
Answer:
they both mean the same thing one dose not have = and 9 in it while the other dose.
Step-by-step explanation:
Lincoln Middle School is painting a circle on their playground with a radius of 18 feet. What will be the total area of the circle, in square feet?
Use π = 3.14, and round your answer to the nearest hundredth.
Answer:
1017.36
Step-by-step explanation:
area = 3.14 (18)square
3.14 (324)
1017.36
Help me im stuck answer a b c and d please I don't know if they right
Answer:
It’s b
Step-by-step explanation:
What is the ratio of -1,6,-36,216
Answer:
-6
Step-by-step explanation:
hope this helped <3
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Definition: the angles opposite each other when 2 lines cross. They are always equal.
1&4, 2&3, 5&8, 6&7 are vertical
I hope this helps :) have a good night or day <3
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer: angles HIL and MLI are supplementary angles.
Hope this helps! :D
Look at the photo! Please help
Find the value of x in the figure below if RE is parallel to PM.
2.3 units
16 units
21 units
4.6 units
Answer:
21 units
Step-by-step explanation:
Since,
RE is parallel to PM,
( AR / RP ) = ( AE / EM )
( 7 / x ) = ( 6 / 18 )
( 7 / x ) = ( 1 / 3 )
x × 1 = 7 × 3
x = 21 units
Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
Number of year = 50 year
Step-by-step explanation:
Given:
Amount deposit in account = $500
Rate of interest = 6 % = 0.06 (Simple interest)
Future amount = $2,000
Find:
Number of year
Computation:
A = P + I
2,000 = 500 + I
Amount of interest I = $1,500
I = PRT
1,500 = 500 x 0.06 x Number of year
1,500 = 30 x Number of year
Number of year = 1,500/30
Number of year = 50 year
A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.
Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{1.7}{\sqrt{36}} = 0.73[/tex]
The margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.