y=0.625x+1.75 is the equation for your problem.
1. Translate the following sentence into an equation. The product of six and
a number n is three less than the sum of four and n.
Answer:
6n + 3 = 4 + n
Step-by-step explanation:
Answer:
6n-3=4+n
Step-by-step explanation:
Ok since it is saying "the product of six and a number" it is a multiplication of the two variables 6 and n, which will give you "6n." The next part is "three less than." This is a subtraction cause you are subtracting 3 from 6n. The last part "the sum of four and n." Is an addition because it has the word sum, which will give you 4+n.
Product=multiplication
Less than=subtraction
Sum of= Addition
Hope this helped
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.
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
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:
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]
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
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?
Please help me ! Today 11/6/2020 :(
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]
Find the measure of angle LMN
please help me!!
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
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
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x – 5 2y – 4x =
Answer:
-10
Step-by-step explanation:
Answer:-10
Step-by-step explanation: trust
What do you call a female bug that floats?
Answer:
A buoyant girl ant
Step-by-step explanation:
I wil I give the BRAINIEST!
Please explain :)
What is the best description of the relation?
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]
Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?
Meg places a tomato plant in her garden She adds a pepper plant 6 feet to the left of the
tomato plant. Then she adds a pumpkin plant 5 feet to the right of the tomato plant. How
many feet apart are the pepper plant and pumpkin plant? Show an absolute value
expression that can be used to find your answer.
Answer:
what is the opinions for the question
what is the sum of the first 30 multiplies of 3?
A.1200
B.1395
C.1500
D.1490
Answer:
Letter D. 1490
I hope you helped☜☆☞How do you say 9.876?
Answer:
nine point eight hundred seventy six....hope u got, babes...
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
Nine less than six times a number -15
Answer:
9-(6×X)=15
Step-by-step explanation:
hope this helsp
Answer:
x= -7.66
Step-by-step explanation:
Let the number be x
According to the question
9(6×x )= -15
9(6x)= -15
54×9x= -15
9x= -15-54
9x =-69
x= -69/9
x = -7.66
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:
Please help i’ll give brainliest and please dont say this is east im in 6th and just learned this
Answer:
C
Step-by-step explanation:
1/3 is .3 repeating
and you need to move decimal over twice for a percentage so should be 15%
A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Pythogorean Theorem:
a squared + b squared = c squared
9 squared or 81 + ? squared = 15 squared or 225
Inverse Pythagorean Theorem:
c squared - a squared = b squared
225 - 81 = 144
sqrt (144) = 12
12 = b
Hope this helps! Good luck!
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
Find the volume of the sphere. Sorry the pic isn’t the best! I tried lol!
Answer:
4,186.6 repeated (just round to .7 if it asks for it)
Step-by-step explanation:
The volume of a sphere is 4/3 pi r^3
plug in the radius and simplify that expression
Help!!I will give BRAINLIEST
Answer:
3.125
Step-by-step explanation:
Hope this helps!! :)
Answer:
3.05
Step-by-step explanation:
