Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
I really need help with c,d and e
Answer:
Step-by-step explanation:
By using regression line calculator,
Equation of the line of best fit,
c). y = 0.74x + 0.03
Here, x = Number of pints
y = Weight in pounds
d). We have to find the weight of 10 pints of the blueberries,
By substituting x = 10 in the equation,
y = 0.74(10) + 0.03
y = 7.4 + 0.03
y = 7.43 pounds
e). If per pound cost of the blueberries = $2.25
By substituting y = 2.25 in the equation,
2.25 = 0.74x + 0.03
x = [tex]\frac{2.22}{0.74}[/tex]
x = $3.00 per pound
Therefore, cost of 10 pounds blueberries = 3 × 10
= $30
Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of money Jon received.
The boys and girls soccer clubs are fundraising for new uniforms. The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to represent the situation
Inequality 1:
Inequality 2:
Answer:
2b + 4c = 800
c > 100
Step-by-step explanation:
The two linear inequalities are 2S+4C>800
and C[tex]\geq[/tex]100
It is given that The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4.They must raise more than $800. The girls expect to sell at least 100 candles. We have to write this situation in system of linear equality
What is system of linear inequalities?
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables.
The soccer ball is denoted by S and Candles by C
Therefore 2S+4C>800 (We use > symbol for More than)
and C[tex]\geq[/tex]100
To learn more about linear inequalities:
https://brainly.ph/question/11773421
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Use the tangent ration to find the height of the tree. Round to next whole number.
Answer:
74.8925767 rounded to 75
Step-by-step explanation:
Identify the slope and y-intercept for the line y = -2x -3.
Answer:
The slope is -2 and the y intercept is -3
Step-by-step explanation:
y = -2x -3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is -3
Sean and sarah spend $70 a month eating out how much money would they have after 15 years if they invested the money instead at 4 percent compounded monthly round your answer to the nearest hundredth
Answer:
Future Value= $17,170.12
Step-by-step explanation:
Giving the following information:
Monthly deposit (A)= $70
Interest rate (i)= 0.04/12= 0.0033
Number of periods (n)= 15*12= 180 months
To calculate the future value (amount saved), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {70*[(1.0033^180) - 1]} / 0.0033
FV= $17,170.12
the simplified form of 0.02(0.06+0.008)is
Answer:
Step-by-step explanation:
Use PEDMAS. So first addition has to be done as it is inside parenthesis. After that multiplication has to be done
0.060 +
0.008
0.068
In decimal multiplication, first multiply the numbers ie, 2 * 68 which is 136. Then count the number of decimal places in both the multiplicands and keep the same number of decimal places in the result(136).
0.02 * 0.068 = 0.00136
Answer:
0.00136
Step-by-step explanation:
According to Order of Operations rules, we must do work that appears inside parentheses first.
Therefore we combine 0.06 and 0.008 to obtain 0.068.
Next comes multiplication: 0.02(0.068) = 0.00136
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines
Answer:[tex]5x+3y+1=0[/tex]
Step-by-step explanation:
Given
The linear equation is [tex]5x+3y-9=0[/tex]
The other linear equation parallel to the given line can be represented by
[tex]5x+3y+c=0[/tex]
Here, c can take any value . for example c=1, line becomes
[tex]\Rightarrow 5x+3y+1=0[/tex]
find hcf and LCM of 40 ,60 and 80
hear here is your answer in attachment attach
Answer:
Step-by-step explanation:
40 = 2*2*2*5
60 = 2 * 2 * 3 * 5
80= 2 * 2 * 2 * 2 * 5
LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240
HCF = 2*2*5= 20
a nuber to be multiplied is called
Answer:
7×5 4×5 777⁷7777777777×7
Answer:
it is called factors
Step-by-step explanation:
someone help me answer these two
Convert 5 km 36 m into km
Answer:
5.036 km
Step-by-step explanation:
36 m ÷ 1000 = 0.036 km
5 km + 0.036 km = 5.036 km
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?
Answer:
106 items
Step-by-step explanation:
We are actually finding the "break even" point, where revenue = costs.
Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:
7.5x - 100 = 79.86 + 5.8x
Group the x terms together:
1.7x - 100 = 79.86
and then group the constants together on the right side:
1.7x = 179.86
Solving for x, we get 105.8 (items)
Round this up: 106 items
The company will begin making a profit as production passes 106 items.
Answer:
first one : 7.5x -100 > 79.86 + 5.8x
second one : x > 105.8
last one : 106
Step-by-step explanation:
10 points!
If you are going to answer, actually answer!
Answer:
1/27
Explanation:-
(1/3)^3=(1x1x1)/(3x3x3)=1/27
Answer:
0.03703703703 or
²/27
sorry i am late but still hope I helped
Step-by-step explanation:
What is a solution of -8x+5>=11
A.-1/2
B.3
C.0.25
D.-1
Answer:
i got -2
Step-by-step explanation:
1 step; 8*x-5-(11)=0
2 step; 8x - 16 = 8 • (x - 2)
3 step; Solve : 8 = 0
4 step; Solve : x-2 = 0
final part Add 2 to both sides of the equation :
x = 2
Please help me ASAP and i mean ASAP
Answer:
no
Step-by-step explanation:
no
✨Please help me :) ✨
Answer:
Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.
Step-by-step explanation:
What do we know:
He has $140 to start withHe saves $25 each weekHis bike costs $290What are we solving for;
We are solving for x (number of weeks it would take Jaden to buy a $290 bike), when y = 290Equation would be:
y = 25x + 140So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;
y = 25x + 140=> 290 = 25x + 140
=> 290 - 140 = 25x
=> 150 = 25x
=> 150 / 25 = x
=> 6 = x
Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.
Hope this help!
How many solutions does the system have?
4x−6y=−24
2x−3y=−6
Answer:
none
Step-by-step explanation:
if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation
because x and y in line two are the same multiple of these in line one (both values are just the half)
plotted with desmoes
PLEASE HELP. !!!!!!!!!!
Answer:
the last one bottom right
Step-by-step explanation:
well, did it in my head, but the idea is to calculate it out
(x-8)*(x-8)=50
is just
x²-16x+64=50
to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side
help me solve for m<4 and m<5 and x
Answer:
x = 18
Angle 4 = 31 degree
Angle 5 = 59 degree
Step-by-step explanation:
According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.
Angle 4 + angle 5 = 90 degree
Angle 4 = 2 x - 5
angle 5 = 4 x - 13
So, according to the question,
2 x - 5 + 4 x - 13 = 90
6 x - 18 = 90
6 x = 108
x = 18
So, angle 4 = 2 (18) - 5 = 31 degree
So, angle 5 = 4 (18) - 13 = 59 degree
Which of the following equations will be the graph of a parabola?
y = 5x + 12
y = x^2 - 2x + 3
3x^5 - 6x^3 + 4x + 12
y = 2 ⋅ 3^x
Answer:
Y=x^2 -2x + 3
Step-by-step explanation:
it's quadratic like:-)
What’s the answer for this
Answer:
4) y + 3 = 6x
Step-by-step explanation:
The y-intercept of your graph is (0, -3)
Putting 4) in standard form:
y = 6x - 3 the y-intercept is also (0, -3)
(please help) Find m
Answer:
[tex]m\angle MLK=78^{\circ}[/tex]
Step-by-step explanation:
The Base Angle Theorem states that the base angles of the two equal legs of an isosceles triangle are equal. Since there are 180 degrees in a triangle, we have:
[tex]m\angle MLK+51+51=180,\\m\angle MLK +102=180,\\m\angle MLK=\boxed{78^{\circ}}[/tex]
Over 5 straight plays, a football team gained 8 yards, lost 4 yards, gained 7 yards, gained 3 yards, and lost 11 yards. What is the team's position no compared to their starting position? WILL GIVE BRAINLIEST ALSO BE CORRECT PLS THX
The slope is ____ and the y-intercept is ___?
Answer:
The slope is -1 and the y-intercept is -1 ?
[tex]slope = \frac{ - 6 - 1}{5 - ( - 2)} \\ = \frac{ - 7}{7} \\ = - 1 \\ y - intercept : \\ y = mx + c \\ 1 = ( - 1 \times - 2) + c \\ c = - 1 \\ [/tex]
Answer:
slope -1 and y intercept is -1
hope this helps
have a good day :)
Step-by-step explanation:
The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.
A. Students who do not act.
B. Every 4th student selected from an alphabetical list of all students at the school.
C. Students who are in drama club.
D. Students who are in theater class.
E. The same number of students from each grade whose names are randomly selected from a hat.
Answer:
Option C and D
Step-by-step explanation:
The teacher wants to evaluate how many students will attends the comedy class and how many will attend the musical performance. Hence, He must be able to determine the number of students attending the drama club and theatre club as this will help him in determining the approximately correct number of students attending comedy or music class.
Hence, option C and D are correct
Which function graph is shown
Answer:
A) y=3cos(-x)
Step-by-step explanation:
Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.
f(x) = x^2. What is g(x)?
Answer:
This becomes way easier if you have the knowledge of inverse functions.
Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.
So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)
Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75
I NEED HELP ASAP IM STRESSJNG OUT
Answer:
A
Step-by-step explanation:
Using the Sine rule in Δ ABC
∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then
[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )
BC × sin100° = 13 × sin30° ( divide both sides by sin100° )
BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )
