Answer:
C. Alternate interior angles are congruent
Step-by-step explanation:
<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.
Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".
Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?
which is greater [-3.25] or [4.25]
Answer:
4.25
Step-by-step explanation:
The number is bigger in absolute form
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?
Four more than three times a number is thirteen
Answer:
3x+4=13
Step-by-step explanation:
Please help me ! Today 11/6/2020 :(
Does anybody have any tips for calculating slopes in Algebra 1???
Answer:
The equations are really hard, so if you can find a slope interpreter or something that might be helpful.
I find it easier to just count the up and across.
Step-by-step explanation:
Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?
Answer:
15 + 18.88 ÷ 12 = p
if p were price of each song
p= 1.99
A tank contains 5,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 50 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = ___________kg (b) How much salt is in the tank after 20 minutes? () y = ________ kg
Answer:
a
[tex]y(t) = 11e^{-\frac{t}{100} }[/tex]
b
[tex]y(20) = 9 \ kg[/tex]
Step-by-step explanation:
From the question we are told that
The volume of brine in the tank is [tex]V_L = 5000 \ L[/tex]
The mass of the salt is [tex]y(0)= 11 \ kg[/tex]
The rate at which water enters that tank is [tex]\r V = 50 \ L / min[/tex]
Generally the rate at which salt enters the tank is mathematically represented as
[tex]z = \frac{0}{V_L} * \r V[/tex]
=> [tex]z = \frac{0}{5000} * 50[/tex]
Here the zero implies that there is no salt entering the tank
Generally the rate at which salt leaves the tank is mathematically represented as
[tex]u = \frac{y(t)}{V_L} * \r V[/tex]
=> [tex]u = \frac{y(t)}{5000} * 50[/tex]
=> [tex]u = \frac{y(t)}{100}[/tex]
Generally the rate of salt flow in and out of the tank is
[tex]\frac{dy}{dt} = z - u[/tex]
=> [tex]\frac{dy}{dt} = - \frac{y(t)}{100}[/tex]
=> [tex]\frac{dy}{y} = -\frac{dt}{100}[/tex]
=> [tex]ln(y(t)) = -\frac{t}{100} + c[/tex]
at time t = 0 y(0) = 11
=> [tex]ln(11) = -\frac{0}{100} + c[/tex]
=> [tex]c = ln (11)[/tex]
So
[tex]ln(y(t)) = -\frac{t}{100} + ln (11)[/tex]
taking exponent of both sides
[tex]y(t)=e^{ -\frac{t}{100} + ln (11)}[/tex]
=> [tex]y(t) = e^{-\frac{t}{100} } * e^{ln(11)}[/tex]
=> [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]
Generally at t = 20 minutes
The amount of salt in the tank is mathematically represented as
[tex]y(20) = 11e^{-\frac{20 }{100} }[/tex]
=> [tex]y(20) = 9 \ kg[/tex]
Solve: 3 – 8x = -13 need help plzzzzzzz
Answer:
3 – 8x = -13
-8x = -13-3
-8x = -16
x = 2
I wil I give the BRAINIEST!
Please explain :)
What is the best description of the relation?
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
Answer:
Step-by-step explanation:
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?
Answer:
800
Step-by-step explanation:
you divide 712 by .89
Which step will get you closest to the solution of this equation?
5.2 – 2)=7
(Imagine math)
Answer:
I'm pretty sure it's the to right one
Step-by-step explanation:
The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
9514 1404 393
Answer:
3 feet per second
Step-by-step explanation:
If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.
(1/2)(6 ft/s) = 3 ft/s
The swimmer's average speed is 3 ft/s.
What do you call a female bug that floats?
Answer:
A buoyant girl ant
Step-by-step explanation:
4/6 + 1/3 please help i need to get my grade up qwq
Explanation:
1/3 is the same as 2/6
Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.
Therefore 4/6 + 1/3 is the same as 4/6 + 2/6
At this point, we add the numerators over the common denominator
4/6 + 2/6 = (4+2)/6 = 6/6 = 1
Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.
What is an equation of the line that passes through the point (8,0) and is parallel to
the line 2 -4y = 20
The topic of this is parallel and perpendicular through points!!
Answer:
i think y=0
Step-by-step explanation:
Grade 10 Math, I need help fast!
Given the function f(x) = 2x. What is the value of f(-3)?
A. -6
B. 8
C. -8
D. 1/8
f(x)=2x
f(-3)=2(-3)
f(-3)=-6
Answer:
A. -6
Step-by-step explanation:
Just plug in -3 to where x is.
10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.
Answer:
Median: 11
Mean: 12
Mode: none
Step-by-step explanation:
M A T H W A Y helps
Mode is something that is repeated multiple times
so
Answer:
Median- 11
Mean-12
Mode-none
Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18
The median is the middle number so that would be 11
Median-11
Mode is the most repeated number as you can see there is none
Mode- none
Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.
Mean- 12
Paul and Seth know that one point on a line is (4,2) and the slope of the line is -5. Each student wrote a different equation relating x and y . Do the two equations represent the same line ? Construct a mathematical argument to support your answer .
Answer:
Step-by-step explanation:
Paul's equation,
Since the given line is passing through a point (4, 2) and slope = -5,
y = mx + b
2 = -5(4) + b
2 = -20 + b
b = 22
Therefore, equation of the line will be,
y = -5x + 22
Seth equation,
Slope of a line passing through two points (x, y) and (4, 2),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
-5 = [tex]\frac{y-2}{x-4}[/tex]
-5(x - 4) = y - 2
-5x + 20 = y - 2
y = -5x + 22
Therefore, both the equations represent the same line.
The school administration decided that four grade levels of students (K–3) will share donated funds according to the proportion of students that are in each grade. There are twice as many students in third grade as there are in second grade. There are 5 more students in first grade than there are in second grade. The number of students in kindergarten is 15 more than in first grade. There are 365 students in the K–3 grades at the school.
(A) How many students are in each grade?
(B) What fraction of the money should each grade get?
Answer:
kindergarten = 88
first = 73
second = 68
third = 88
Step-by-step explanation:
365=k+f+s+t
2s=t
s+5=f
f+15=k
USE SUBSTITUTION
365=((s+5)+15) + (s+5) + s + (2s)
365=5s+25
-25 -25
340=5s
/5 /5
68=s
PLUG IN
t=2(68)=136
f=(68)+5=73
k=(73)+15=88
CHECK
68+136+73+88=365
so i just learned multiplying negative number and i have to put them on a number line pls help
here is the Qustion
-2 x 5 =
please explain
Answer:
-10
Step-by-step explanation:
Alright, let me explain negative multiplcation.
A negative number multiplied by another negative number becomes a positive number. But a negative number multiplied by a positive number is still negative. Every pair of 2 negatives become positive. This is important. Make sure to remember that.
That's it! If you need more help then reach out to your teacher. I'm sure that they will be more than happy to help!
Hope this helped! :)
Answer:
the awnswer is -10
Step-by-step explanation:
Remember a negative times a negative is the only time the answer will be positive. When a negative is multiplied by a positive it will always be negative.
ex:
-2 x 5
since this is a negative and a positive the answer will be negative. knowing that just multiply 2x5=10 then add the negative -10.
Find the measure of angle LMN
please help me!!
You are in charge of food shopping for a party. You need to buy snacks and soda. A bag of snacks costs $2 and a pack of soda $3.5. If your mom gives you $25 to buy groceries and you buy 8 bags of snacks, how many packs of soda can you buy?
Answer:
2 bags
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
2x8=16
25-16=9
3.5+3.5=7
200 divided by 5.50 is what because if one hour is 5.50 and you need 200 how many hours do you work
Answer:
if you divided 200 by 5.50 the answer will be 36.3636363636
How do you say 9.876?
Answer:
nine point eight hundred seventy six....hope u got, babes...
Help!!I will give BRAINLIEST
Answer:
3.125
Step-by-step explanation:
Hope this helps!! :)
Answer:
3.05
Step-by-step explanation: