Answers
Answer:
7. parallel: k = 3
perpendicular: k = -4/3
8. $1300
Step-by-step explanation:
7.
Rewrite each equation as the slope-intercept form of a linear equation:
y = mx + b (where m is the slope and b is the y-intercept)
8y = 12x + 6
⇒ [tex]y=\dfrac32x+\dfrac34[/tex]
4y = k(2x + 10)
⇒ 4y = 2kx + 10k
⇒ [tex]y = \dfrac12kx + \dfrac52k[/tex]
If the graphs are parallel their slopes will be the same.
[tex]\implies \dfrac32=\dfrac12k[/tex]
[tex]\implies k=3[/tex]
If the graphs are perpendicular then the product of their slopes will be -1.
[tex]\implies \dfrac32 \times \dfrac12k=-1[/tex]
[tex]\implies \dfrac12k=-\dfrac23[/tex]
[tex]\implies k=-\dfrac43[/tex]
8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).
Choose 2 ordered pairs from the table: (10, 110) and (20, 195)
Let [tex](x_1,y_1)[/tex] = (10, 110)
Let [tex](x_2,y_2)[/tex] = (20, 195)
Use the slope formula to find the slope m:
[tex]\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}[/tex]
Now use the point-slope form of linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-110=\dfrac{17}{2}(x-10)[/tex]
[tex]\implies y=\dfrac{17}{2}x+25[/tex]
Substitute x = 150 into the equation and solve for y:
[tex]\implies y=\dfrac{17}{2}(150)+25=1300[/tex]
Therefore, the total cost of ordereing 150 mugs is $1300
Related Questions
pick all of the expressions that are equivalent to 3(m+2) +8.
a). 3m + 2 +8
b) 3m +6 + 8
c). 3m +14
d). 14 + 3m
e). 3+m+2+8
Answers
option C
hope it helps! ~♡
2*2+3-5/9+100/2*89+40-30
Answers
4466.44444444
40198
/
9
4466 —
9
40198
Or ______
9
Make Z the subject x(y+z) + 5/a — 2=0
Answers
Answer:
above is the solution to the question, ,pls that is a negative sign
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE
Answers
Answer:
A, D, H, N
Step-by-step explanation:
A minor arc is always going clockwise and less than 180 degrees (straight line).
Find the area of the last part. ?)
3
2
1/2
1/3
2/3
3/2
Answers
A rectangle measures 3 1/3 inches by 2 1/2 inches what is its area ? Find the area of the last part .
Solution:we know that the area of a rectangle is the product of it's dimensions
so, the area of the given rectangle would be
so ,the measure of the last part would be
[tex]\frac{1}{3} \times \frac{1}{2} \\ = \frac{1}{6} [/tex]
The surface area of a triangular prism is 18.5 square inches. What is the surface area of a similar solid that has been enlarged by a scale factor of 2.5?
Answers
Answer:
115.625
Step-by-step explanation:
Since area is in ration squared like if a 2 by 2 square had it sides lenght times 2. it would be 4 by 4. But the area would change by 2^2 which is 4. In the same principle it would 18.5*2.5^2
Which of the following capital letters show an example of perpendicular line segments? A)L B)N C)V D)Z
Answers
The capital letter that shows an example of perpendicular line segments is: A. L (see attachment).
What are Perpendicular Line Segments?Perpendicular line segments are lines or rays that intersect at a point to form right angles (angle 90 degrees) at their point of intersection.
When two lines intersect, and at their point of intersection, the angle formed is a right angle, then both lines are perpendicular line segments just like the lines that forms letter L as shown in the diagram attached below.
Therefore, the capital letter that shows an example of perpendicular line segments is: A. L (see attachment).
Learn more about perpendicular line segments on:
https://brainly.com/question/7783266
Mohamed plants 30 roses in 5 plots,if he needs to plant 120 roses,how many plots he needs ?
Answers
[tex][Hello,BrainlyUser][/tex]
Answer:
20 Plots
Step-by-step explanation:
Given:
Plants 30 roses in 5 plots
Plants 120 roses in [?] Plots
Question:
How many plots he needs ?
Solve:
[tex]\frac{roses}{plots}=Solution[/tex]
Divide 30 roses by 5 plots = 6
Hence, 120 roses divide by 6
[tex]\frac{120}{6}=20[/tex]
Therefore, Mohamed need 20 Plots.
[tex][CloudBreeze][/tex]
2 (x + 6) = 36 what’s is x
Answers
Answer:
12
Step-by-step explanation:
distribute the 2, turning the equation into 2x+12=36
subtract 12 from both sides, now resulting in 2x=24
then divide by 2
Step-by-step explanation:
2(x+6)=36
2x+12=36
collect like terms
2x=36-12
2x=24
divide both sides by 2
2x/2=24/2
x=12
determine the next three terms of 180,360,540,720
Answers
Answer:
900, 1080, 1260
Step-by-step explanation:
Just used a pattern solving calculator
Please mark Brainlest
During a sale, a store offered a 15% discount on a TV that originally sold for $370. After the sale, the discounted price of the TV was marked up by 15%. What was the price of the TV after the markup?
Answers
Answer:
Rm267.58
Step-by-step explanation:
Firstly, 15/100 × 370 = Rm55.20.Then,Rm370-Rm55.20 = Rm314.80. After that, 15/100 × 314.80 = Rm47.20. Then, Rm314.80 - Rm47.22 = Rm267.58.
Please give me brainliest.
Sam goes to an amusement park with $44 to spend. It costs $5 to enter the park, and then $3 per ride.
1. What question would accurately represent the situation?
2. How much money does Sam have left after 5 rides?
3. How many rides could Sam take before he runs out of money?
If anyone can help me with this that will be amazing. Thank you so much!
Answers
Answer:
Given and explained below.Explanation:
Here y represents money left, x represents numbers of rides.solve:
1.
y = 44 - 5 - 3x
y = 39 - 3x
2.
y = 39 - 3x
y = 39 - 3(5)
y = 39 - 15
y = 24
3.
y = 39 - 3x
0 = 39 - 3x
-39 = -3x
x = 13
He can total ride 13 rides before he runs out of money.
Rajani went to the store to buy some coffee. The price per pound of the coffee
is $5.50 per pound and she has a coupon for $2.75 off the final amount. With
the coupon, how much would Rajani have to pay to buy 2 pounds of coffee?
Also, write an expression for the cost to buy p pounds of coffee, assuming at
least one pound is purchased.
Answers
Answer:
$8.25 y(cost) = 5.50(x pounds coffee) - 2.75
Step-by-step explanation:
5.50 × 2
11 - 2.75
$8.25
y=5.50x-2.75
Karen wants to buy 5 pounds of baby carrots. The packages of carrots each weigh14 ounces. How many will she need to buy to reach 5 pounds
Answers
Answer:
I think it's 70
Step-by-step explanation:
if this is multiplication I just did 14x5 if it's wrong or someone want to correct me pls do or pls tell me thank you have a great day!
Answer:
6 packages
Step-by-step explanation:
First, let's list an important conversion. 1 pound = 16 ounces.
For the sake of this explanation, and because I think this is mathematically easier to deal with, we are going to be dealing in ounces.
So, step one, convert 5 pounds to ounces. For this, we just multiply 5 by 16 to get 80.
Now, we know each package of carrots weighs 14 ounces each. Since we need to see how many times 14 goes into 80 (remember, 80 is the same as 5 pounds), we use division.
80/14 = 5
But, hey! You can/t buy 5/7ths of a package. So we need to buy an ENTIRE EXTRA PACKAGE just to make up for it.
So we round our number up to 6.
( i got this from another girl, hope this helps)!
Which of the following statements is true concerning the equation x + 3 = 7?
Answers
Answer:
x=4
Step-by-step explanation:
x+3=7 1. -3 on both sides
x=4
Answer:
x = 4
Step-by-step explanation:
Subtract 3 from both sides of the equation
x + 3 = 7
x + 3 - 3 = 3
Solution:
x = 4
please help, due in 30 minutes
Answers
Answer:
D)
Step-by-step explanation:
I think it's been a while since I have done geometry. I hope its right and that this helps you.
Answer:
Answer is B
Step-by-step explanation:
The single line shows that that line on one triangle is congruent to the other single line on the other line of the triangle. (I know its very confusing!)
Let me know if this helped!
Solve for x
6x + 2 = 2x – 1
Give your answer as a fraction in its
simplest form
Answers
Answer:
6x+2=2x-1
6x-2x+2+1=0
4x+3=0
4x=3
4x/4=3/4
x=3/4
Which statement is true about the factorization of 30x2 40xy 51y2?.
Answers
Answer:
please need to see your statement
interior angles of quadrilaterals
the sum of the four angles of any quadrilateral is 360
Answers
angle x= E. 118°
angle m= 131°
explanation:
the sum of the four angles of any quadrilateral
is 360
value of Pq- qp if p=3 and q = -1?. 1?:)
Answers
Answer:
0 is the answer
i need an answer please :))))
Answers
Answer: 35
Step-by-step explanation:
If there is 50 pieces of fruit in total then . . . find out how much the percentages are ( remember to do that SEPARATELY )
What is 20% of 50 ? 10 pieces
Equation : 20 ( percentage ) times 50 ( whole )
What is 10% of 50 ? 5 pieces
Equation : 10 ( percentage ) times 50 ( whole )
total of apples and grapes in the fruit bowl : 15
Finally do . . . 50 - 15 = 35 pieces
Which of the following expressions is equivalent to ( 5x + 2) (3x - 4)
Answers
[tex](5x+2)(3x-4) = 5x*3x +(-4)(5x)+2*(3x) +(2)(-4) = 15x^{2} -20x+6x-8\\=15x^{2} -14x-8[/tex]
Hope it helps!
solve this for me
[tex] \sqrt{1989 \div 1989 \times 1 + 1 \times 1} [/tex]
Answers
[tex]\large\tt\sqrt{2} [/tex]
[tex]\begin{gathered} \: \end{gathered}[/tex]
Explanation:[tex]\large\tt\sqrt{ 1989 \div 1989 \times 1+1 \times 1 }[/tex]
Divide 1989 by 1989 to get 1[tex]\large\tt\sqrt{1\times 1+1\times 1} [/tex]
Multiply 1 and 1 to get 1. Multiply 1 and 1 to get 1.[tex]\large\tt\sqrt{1+1} [/tex]
And add 1 and 1 to get 2.[tex]\large\tt\sqrt{2} [/tex]
[tex]\begin{gathered} \: \end{gathered}[/tex]
[tex] \rm \color{teal} = \sqrt{2} \\ \\ \color{teal} \tt \: in \: \: alternate \: \: form \\ \\ \rm\color{teal} \: = 1.41421[/tex]
Step-by-step explanation:
[tex] \bold \color{navy} \sqrt{1989 \div 1389 \times 1 + 1 \times 1} [/tex]
any expression multiplied by 1 remains the same[tex] \rm \color{red} \sqrt{1 + 1} [/tex]
add numbers[tex] \bold \color{teal} \sqrt{2} [/tex]
[tex] \rm \color{red} in \: \: alternate \: \: form \\ \\ \tt \color{pink} = 1.41421[/tex]
hope it helpsA study on students drinking habits asks a random sample of 60 male uf students how many alcoholic beverages they have consumed in the past week. The sample reveals an average of 5. 84 alcoholic drinks, with a standard deviation of 4. 98. Construct a 95% confidence interval for the true average number of alcoholic drinks all uf male students have in a one week period.
Answers
Answer:
Using the t-distribution, the 99% confidence interval for the true average number of alcoholic drinks all UF female students (over 21) have in a one week period is (3.25, 4.85).
We have the standard deviation for the sample, thus, the t-distribution is used to solve this question.
First, we find the number of degrees of freedom, which is the sample size subtracted by 1, thus:
Then, using a calculator, with and 169 df, we have that the two-tailed critical value is .
The margin of error is:
In this problem, , then:
The confidence interval is:
In this problem, , then:
The confidence interval is (3.25, 4.85).
Step-by-step explanation:
Two integers a and b have a product of 12 what is the least possible sum of a and b?
Answers
Answer:
I think it is 7
Step-by-step explanation:
Because 3*4= 12 and 3+4=7 and those are the numbers that make the smallest sum that I can think of
Please Mark Brainlest
What is the relationship between multiplication and division?
Answers
Answer:
What is the relationship of multiplication and division?
Multiplication and division are closely related, given that division is the inverse operation of multiplication. When we divide, we look to separate into equal groups, while multiplication involves joining equal groups
Step-by-step explanation:
scmack me wit dat wet brainliest
Below are the supply and demand equations for blenders in a certain market. In these equations, p represents price, D represents demand, and S represents supply. D = StartFraction negative 5 over 8 EndFraction p 35 S = StartFraction 6 over 5 EndFraction p minus 44 What is p at the point of equilibrium, to the nearest tenth? a. 56. 0 b. 43. 3 c. 37. 4 d. 36. 7.
Answers
The value of p at the point of equilibrium, where supply and demand are equal, is 43.3 (the nearest tenth).
What is equilibrium point of supply and demand?The equilibrium point of supply and demand is the point where, the value of demand of a product is exactly equal to the value of supply of that product.
The supply and demand equations for blenders in a certain market is given as,
[tex]D=\dfrac{-5}{8}p+35[/tex]
[tex]S=\dfrac{6}{5}p-44[/tex]
Here, in these equations, p represents price, D represents demand, and S represents supply.
At the point of equilibrium, the supply and demand are equal. Therefore,
[tex]D=S\\\dfrac{-5}{8}p+35=\dfrac{6}{5}p-44[/tex]
Solve it further to get the value of p as,
[tex]\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\p=\dfrac{3160}{73}\\p\approx43.3[/tex]
Hence, the value of p at the point of equilibrium, where supply and demand are equal is 43.3 (the nearest tenth).
Learn more about the equilibrium point of supply and demand here;
https://brainly.com/question/1915798
Answer:
✅ B. 43.3
Edgen
i dont know if what i wrote was right but someone help
Answers
Answer:
x = 12/7
Step-by-step explanation:
You put: What you should have had is:
13x - 3y = 12 13x - 3y = 12
- x + 3y = 12 + x + 3y = 12
Now that we have that, we can do
14x = 24
Than, divide 24 by 14
x = 24/14
which we can simplify by dividing both by 2
x = 12/7
We can't simplify it down anymore, so this is our answer.
$360 for 16 ft2
The unit rate is $
/ft2
Answers
Answer:
$360/16 ft2 = $22.50/1 ft2
Please Help
On Sadie’s test there are 5 true/false questions and 5 multiple choice questions each multiple choice question has 5 different answers. How many different ways could Sadie answer the 10 questions?
Answers
Answer:
6 ways
Step-by-step explanation:
1 way for true or false and 5 ways for multiple choice questions
