Answers
Answer: Last equation (D)
Step-by-step explanation:
Since they want the perpendicular slope, we must take the negative reciprocal if the slope in the equation given. So the negative reciprocal of -1/3 is 3 so that takes out the first and third equation. Now we have to use point slope which is y - y1= m (x - x1) . Doing this gives us y - 5 = 3(x+2) which is the last equation.
Related Questions
What common denominator can you use to add these mixed numbers? -8 3/8 + 6 1/4
Answers
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[tex] - 8 \frac{3}{8} + 6 \frac{1}{4} = \\ [/tex]
[tex] \frac{ - 64 + 3}{8} + \frac{24 + 1}{4} = \\ [/tex]
[tex] \frac{ - 61}{8} + \frac{25}{4} = \\ [/tex]
[tex] \frac{ - 61}{8} + \frac{25 \times 2}{4 \times 2} = \\ [/tex]
[tex] \frac{ - 61}{8} + \frac{50}{8} = \\ [/tex]
[tex] \frac{ - 61 + 50}{8} = \\ [/tex]
[tex] \frac{ - 11 - 50 + 50}{8} = \\ [/tex]
[tex] \frac{ - 11}{8} = - \frac{11}{8} = - 1 \frac{3}{8} \\ [/tex]
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Answer:
Step-by-step explanation:
8 = 2 * 2 * 2
4 = 2* 2
Least common denominator = 2 * 2 *2 = 8
[tex]-8\frac{3}{8}=-\frac{67}{8} \\\\6\frac{1}{4} = \frac{25}{4}\\[/tex]
[tex]-8\frac{3}{8}+6\frac{1}{4}=-\frac{67}{8}+\frac{25}{4}\\\\=-\frac{67}{8}+\frac{25*2}{4*2}\\\\=-\frac{67}{8}+\frac{50}{8}\\\\=\frac{-67+50}{8}\\\\=\frac{-17}{8}\\\\=-2\frac{1}{8}[/tex]
The price of 2 dozen cobs of corn (which is 24 cobs) is $7.20. Joanna want to buy just 3 cobs of corn. How much will she pay? in unit rate
Answers
Answer:
Step-by-step explanation:
Which expression can be used to find the value of expression below -(7/10) + 2/8 + 1/10 - (4/8)
Answers
Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
Hana’s next party is breakfast themed, and she plans to serve yummy breakfast egg sandwiches for her 40 guests. Each sandwich includes: 1 slice of bread, 1 egg, and 1 slice of bacon. She is at the supermarket looking at the package options for each ingredient. She wants to buy the same number of each type of ingredient and have the least amount of food left over. Which package combinations will give her this result?
Answers
Answer:
Step-by-step explanation:
Egg cartons of 12, bread slices of 8, bacon packs of 16
Rewrite the following rational form in radical form and simplify when possible:
Answers
Answer:
A: 3s square root of a^4
Step-by-step explanation:
Answer:
b)
Step-by-step explanation:
[tex]a^{\frac{3}{4}}= (a^{3})^{\frac{1}{4}} = \sqrt[4]{a^{3}}[/tex]
This is the simplest form
2(x - 5) = 9 -3x + 6 + 8 + 3x + 7 X=?
Answers
+10 +10
2x= 28
x=14
when 0.3(4x-8)-0.5(-2.4x+4) is simplified what is the resulting expression
Answers
Answer:
2.4x-4.4
Step-by-step explanation:
The first step to simplify this expression is to expand the terms in parenthesis
Answer:
D. 2.4x - 4.4
Step-by-step explanation:
This is 100% the answer.
Mark wrote the equation -1/3x+2y=-6 for a standard form equation, but he forgot some of the rules. correct his mistake to correctly write the equation in standard form
Answers
Answer:
y=1/6x-3
Step-by-step explanation:
1) -1/3x+2y=-6
+1/3x +1/3x
2) 2y=1/3x-6
3) (Divide by 2 on both sides)
4) y=1/6x-3 <-- Final Answer!
Find the measure of angle 4
Answers
Answer:
38
Step-by-step explanation:
Notice that the first triangle is an isosceles triangle, meaning that the base angles are equivalent. Since one angle is 62, we know that the other is 62 as well, which makes 124. This means that angle 2 is 56 degrees. Since 2 and 3 are on the same 'line', they both add up to 180. If 2 is 56, then angle 3 is 124. So the three angles inside the triangle are 124, 18, and x. So, 124+18=142. 180-142= 38
Please help and tell me why u got that answer, I will mark brainliest
Answers
i think so
Thank if you help.....
Answers
Jon and Jim are at opposite sides of campus and begin walking toward each other. Jon walks at 4 feet per second while Jim walks at 5 feet per second . If the campus is 2,700 feet long, then how long will it take (in seconds) for them to meet?
Answers
Answer:
I believe the answer would be 300 seconds.
2. XYZW is a parallelogram with diagonals XZ and YW that intersect at point A.
If XA = 3m, ZA = 5m - 4, and YW = 10m, find AW.
Answer:
Answers
Answer:
AW=10
Step-by-step explanation:
In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...
Solving for XA and AZ
XA=AZ
3m=5m-4
-2m=-4
m=2
If YW=10m then 10 x 2 = 20
20 divided by 2 = 10
what is 913 divided by 31
Answers
diego and his three cousins went on a road trip. They decided to add their cost hotel throughout the trip and split it between themselves. Use the chart below the cost of their hotels, plus a 7% hotel tax. Then, determine how much each cousin owes.
Answers
Answer:
$68.48
Step-by-step explanation:
If I'm reading this right (you're statement is kinda confusing) 88+76+92=256, 256*1.07=273.92, 273.92/4=68.48
A random sample of 35 UCF students has a mean electricity bill of $115. Assume the population standard deviation is $18.10. Construct a 90% confidence interval for the mean electricity bill of all UCF students. Round final answer to two decimal places.
Answers
Answer:
Step-by-step explanation:
confidence interval formula is epressed as;
CI = xbar ± z(s/√n)
xbar is the mean = $115
z is the z score at 90% CI = 1.645
s is the standard deviation = 18.10
n is the sample size = 35
Substitute;
CI = 115 ± 1.645(18.10/√35)
CI = 115 ± 1.645(3.0594)
CI = 115± 5.0328
CI = (115-5.0328, 115+5.0328)
CI = (109.97, 120.03)
Hence a 90% confidence interval for the mean electricity bill of all UCF students is 109.97<x<120.03
Using the t-distribution, it is found that the 90% confidence interval for the mean electricity bill of all UCF students is (108.79, 121.21).
We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 115[/tex].
Sample standard deviation of [tex]s = 18.1[/tex].
Sample size of [tex]n = 35[/tex].
The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 35 - 1 = 34 df, is t = 2.0301.
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 115 - 2.0301\frac{18.1}{\sqrt{35}} = 108.79[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 115 + 2.0301\frac{18.1}{\sqrt{35}} = 121.21[/tex]
The 90% confidence interval for the mean electricity bill of all UCF students is (108.79, 121.21).
A similar problem is given at https://brainly.com/question/15180581
The carnival committee purchased 985 small prizes. The prizes are to be divided equally among the 20 game
booths. How many prizes will each booth have? How many prizes will be left
Answers
Answer:
49 prizes each, with 5 left
Step-by-step explanation:
985/20 is 49 with 5 left over.
mother had 1 1/2 dozen of eggs in refrigerator. she used 1/3 of eggs. what part of the eggs was used?
Answers
Answer: 1/2
Step-by-step explanation:
1 1/2 = 3/2
1/3 * 3/2 = 1/2
Be good peeps The adult height of a male is about 1.19
times his height at age 12. The adult height
of a female is about 1.07 times her height
at age 12. Predict how tall each of these
people were when they were 12.
a) an adult male 1.8 m tall
b) an adult female 1.8 m tall
1
Answers
Answer:
I think that the answer is 2.07
Step-by-step explanation:
The 5th grade students at Fox Middle School went to a movie. They spent a total of $1357.50 on movie tickets. If each movie ticket costs $7.50, how many students attended the movie?
Answers
Which function is graphed?
Answers
Answer:
i think b
Step-by-step explanation:
According to a National Health Survey, American men’s heights are normally distributed with a mean given by μ=69.7 inches and a standard deviation given by σ=2.8 inches. a). If a man is randomly selected, find the probability that his height is more 72 inches.
Answers
Answer: 0.206
Step-by-step explanation:
Given that :
Height of American men is normally distributed :
Mean height (μ) = 69.7 inch
Standard deviation (σ) = 2.8 inch
Probability that height of a randomly selected man is more than 72 inches
P(X > 72)
Obtain the standardized score (Zscore):
Zscore = (x - μ) / σ
Zscore = (72 - 69.7) / 2.8
Zscore = 2.3 / 2.8
Zscore = 0.8214285
Zscore = 0.8214
Using the Z probability calculator ;
P(Z > 0.8214) = 0.20571
Probability of selecting a man whose height is more Than 72 is 0.206
Ms. White wants to rent a small car for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. White drives during the week. Write an expression that shows the amount she will pay for the car. Evaluate the expression you wrote to find out how much Ms. White will pay if she drives 100 miles.
Answers
Note: We are not given the weekly fee, but I'll assume it as $80 only to be able to solve the problem and explain the procedure.
Answer:
Ms. White will pay $110 if she drives 100 miles
Step-by-step explanation:
Ms. White wants to rent a car for a week. It costs a weekly fee of $80 plus a $0.30 fee per mile driven.
If we call m = the number of miles driven by Ms. White during the week, then the cost of renting the car is:
C(m)= 80 + 0.30m
If Ms. White drives m=100 miles during the week, then the cost is:
[tex]C(100)= 80 + 0.30\cdot 100[/tex]
C(100)= 80 + 30
C(100)= $110
Ms. White will pay $110 if she drives 100 miles
I don't know how to get started on this sums and difference expression: sin θ - √︎3 cos θ =1
Answers
We are given:
Sinθ - √3 Cosθ = 1
Solving for θ:
dividing both the sides by 2
1/2 Sinθ - √3/2 Cosθ = 1/2
Cos(60°)*Sinθ - Sin(60°)Cosθ = Sin(30°) [Since Cos(60°) = 1/2 and Sin(60°)=√3/2]
We can see that the LHS resembles the formula:
Sin(A - B) = SinACosB - SinBCosA
Sin(θ - 60°) = Sin(30°)
So, we can say that:
θ - 60 = 30
θ = 90° or π/4 radians
how many grams in 1.7x 10^7 ug
Answers
Answer:
17 grams
Step-by-step explanation:
Olivia wants to cut off 3 3/4inches from a piece of string. She has already cut off
2 9/16 inches from the piece of string. How much more string should she cut off?
Answers
Answer:
1 3/16 inches
Step-by-step explanation:
3 3/4 = (3+12) / 4
2 9/16 = ( 9+ 32) / 16
15 / 4 - 41/ 16 make the denominators equal
15 × 4 / 4×4 - 41/ 16
= 60/16 - 41/16
= 19/16 convert it to Fractional number
= 16 + 3 / 16 = 1 3/16
Find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)x and select the correct answer below. Group of answer choices 23.22 163.84 35.84 128
Answers
I think it is 23.22
(Please mark me brainiest)
Are these equations equivalent?
0.8x + 3= 1.8x and 2x =6
Answers
Answer:
Yes
Step-by-step explanation:
0.8x + 3 = 1.8x
3 = 1.8x - 0.8x
x = 3
And:
2x = 6
dividing both sides by 2:
x = 3.
hence the two equations are equivalent since they give the same answer.
Find the point on the parabola y2=2x that is closest to the point (1,4).
Answers
NEED HELP !! There are 16 ounces in 1 pound . How many 12-ounce servings are in 36 pounds of dog food ? PLEASSSEEDE
Answers
Answer:
(3) 3*12=36
Step-by-step explanation:
There are 48 numbers of 12-ounce in 36 pounds of the dog food.
To understand more, check below explanation.
Pounds to ounce conversion:Given that,
There are 16 ounces in 1 pound .
First , we have to convert 36 pounds of dog food into ounces.
1 pound = 16 ounces
36 pounds = 16 * 36 = 576 ounces
We have to find how many 12-ounce servings are in 36 pounds of dog food.
So that, number of 12-ounce of dog food = [tex]\frac{576}{12}=48[/tex]
Hence, there are 48 numbers of 12-ounce in 36 pounds of the dog food.
Learn more about the pounds here:
https://brainly.com/question/498964
