Answer:
-18
Step-by-step explanation:
Addition. Hope this helped
Answer:
-18
Step-by-step explanation:
try that, if it's the wrong answer then lmk!
III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?
Answer:
[tex]9x- 60=10[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
[tex]LCM = 12[/tex]
Next, multiply both sides of the equation by this LCM (12)
[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]
[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]
[tex]3 * 3x- 60=5 * 2[/tex]
[tex]9x- 60=10[/tex]
Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.
Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Before you begin, decide with your partner who will work with Seth's information and who will work with Karen's information.
Working with the Equations
Work Separately
Each partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Comparing Students
Work Together
Each partner now has an equation, function, and graph that represent the combinations of activities resulting in the income needed for each student. Compare these items and answer the following questions:
Which student, Seth or Karen, has the higher slope when the graphs of their earnings are compared? How can you tell?
Whose graph, Seth's or Karen's, has a greater y-intercept? What does that mean for this person?
If both students work 80 hours for the month, is the number of lawns Seth has to mow greater than or less than the number of dogs Karen has to walk? Justify your answer.
Karen begins charging $8 per hour for babysitting, and Seth begins earning $8 per hour. How does this change affect their graphs if everything else remains the same?
Answer:
Seth:
Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen:
Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Part A: Converting it in function for by solving for y first.
Solving 7.50x + 15y = 750, equation we get
7.50x + 15y = 750
15y = -7.50x + 750
y = -1/2x + 50
Solving 6x + 4y = 700 for y, we get
6x + 4y = 700
4y = -6x + 700
y= -3/2x + 175.
On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.
If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.
Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.
In function form we could write equation as
f(x) = -1/2x + 50 and
f(x) = -3/2x + 175.
Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.
Therefore, Karen has greater y-intercept.
This means Karen earns $175 by just walking dogs.
Part C: If both students work 80 hours for the month.
Let us plug x =80 in each of the equations.
y = -1/2x + 50 => y = -1/2(80) + 50 = -40 +50 = $10.
Seth would earn $10 from mowing lawn.
Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.
y = -3/2x + 175 => y = -3/2(80) + 175 = -120 +175 = $55.
Karen would earn $50 from walking dog.
So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.
Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.
Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.
The equations would become : 8x + 15y = 750, 8x + 4y = 700.
It would not effect the graph much. Even the y-intercepts would remain same.
There would be a slightly change in slopes.
Step-by-step explanation:
Answer:
If you see this give him brainliest
Step-by-step explanation:
If you can help me on these I’ll give you brainliest
Answer:
B
Step-by-step explanation:
Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.
Answer:
B) a long-term from of torpor
Howdy! Is there someone who can help me on questions 1-3 please?
Answer:
1. Reflection across the y-axis
2. ΔXYZ = ΔABC
3.
∠A =∠X
∠B =∠Y
∠C =∠Z
AB = XY
BC = YZ
AC = XZ
1. Reflection across the y-axis
2. ∆XYZ ~= AABC
3.
angleA=angleX
angleB=angleY
angleC=angleZ
ZAB = XY
ZAB = XYBC = YZ
ZAB = XYBC = YZAC = XZ
Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
Determine whether the relation is a function.
PLEASE I NEED HELP I WILL GIVE BRAINLIEST
Daria wants to open a retail T-shirt business. She has determined that her start up cost will be $235,000. This amount includes $39,500 for the first year’s rent on the store, $22,750 for the equipment, $41,800 for the initial inventory, $18,500 for insurance, and $28,950 for heating and electricity. The rest of the cost would be for employee salaries. Write an equation that would allow you to calculate the cost of employees’ salaries (x), then solve the equation for x.
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x
====================================================
Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.
Find the missing of the largest angle in the triangle shown. 15x
24x
21x
Step-by-step explanation:
ummm
What is the measure of BCD?
Enter your answer in the box.
the measure of BCD = [ ]
Answer: 77
Took the test :)
someone help plzzz zz z
Answer:
B
Step-by-step explanation:
What is the best estimate for the percent equivalent to 3/8?
Answer:
To find this out, turn 3/8 into decimal form, (0.375).
Now, turn each percent into standard form. (Also decimal form)
26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.
The decimal closest to 0.375 is 37%.
Step-by-step explanation:
p l e a s e h e l p a s a p:) will mark brainliest and answer any q if correct:))
Answer:
last one
Step-by-step explanation:
A golfer hits a golf ball off a tee. A quadratic function models the height of the golf ball in the coordinate plane, with the origin representing the initial location of the golf ball. Which of the following features can be used to determine the height that the golf ball travels from its initial location to the point where the golf ball starts falling towards the ground? Select ALL that apply.
A
zeros
B
vertex
C
y-intercept
D
end behavior
Answer:
a zeros
Step-by-step explanation:
The height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, a golfer hits a ball off a tee. The height of the golf ball in the coordinate plane is represented by a quadratic function, with the origin being the golf ball's initial position.
The equations give the relation of height, time, and velocity in terms of the quadratic equation is,
h = -t² + vt + s,
Since s is the height in feet and v is the initial velocity in feet/second, one may determine the ball's maximum height.
After solving the equation and finding the values of zeroes gives the maximum height.
Thus, the height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero
Solve for x !!!!!!!!
Answer:
D) 4
Step-by-step explanation:
By remote interior angle property if a triangle, we have:
19x° + (18x - 4)° = 144°
(18x - 4 + 19x)° = 144°
(37x - 4)° = 144°
37x - 4 = 144
37x = 144 + 4
37x = 148
x = 148/37
x = 4
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160
Answer:4 10
Step-by-step explanation:
Answer:4 √10
Step-by-step explanation:
edgy
PLZ HELP The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it 25?
Step-by-step explanation:
I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each!
Answer:
1. (0,5) (16,21) (20,25) (36,41) (55,60)
Step-by-step explanation:
Hope this helped you!! Give brainliest
Answer:
nnrrharthtghgdzhgdhth
Step-by-step explanation:
Solve for x
9(x-1)=81
x=
Answer:
x=10
Step-by-step explanation:
[tex]9x-9=81\\9x=90\\x=10[/tex]
Solve for x to make the proportion true.
*
22
44
6
X =
can anyone please help!!!
Answer:
Question 9
(a) The distance, Jalaj walks in one day is 4.4 km
(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8
Question 10
(b) The difference between the largest and smallest areas is 2,400 m²
Step-by-step explanation:
Question 9
(a) The distance Jalaj walks in 5 days = 22 km
Whereby Jalaj walks equal distance every day, we have;
The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day
The distance, Jalaj walks in one day = 4.4 km
(b) The amount he raises for every kilometer he walks = $1.60
The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60 = $8
Question 10
(b) The given side length of the square = 120 meters to the nearest 10 meters
Therefore;
The maximum dimension for the side length of the square = 120 + 10/2 = 125
The largest possible area of the square, [tex]A_l[/tex] = 125 m × 125 m = 15,625 m²
The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m
The smallest possible area of the square, [tex]A_s[/tex] = 115 m × 115 m = 13,225 m².
The difference between the largest and smallest areas, [tex]A_l[/tex] - [tex]A_s[/tex] = 15,625 - 13,225 = 2,400 m².
I’ll mark you brainlist I’ll mark you brainlist
Answer:
Step-by-step explanation:
Slope of the line =3\2
Answer:
its -0.67
Step-by-step explanation:
i typed it into my algevra calc
Can the side of a triangle have lengths 1,4 and 6 yes or no
Answer:
no
Step-by-step explanation:
I need help with this question! Will mark brainliest :)
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing
how do i graph the following X=4
Answer:
Impossible you can’t
Step-by-step explanation:
A circle has a radius of 12. Find the area of the sector whose central angle is 120°.
I WILL GIVE BRAINLEST
Mark sold candles for three weeks. Let x represent the number of candles he sold
the first week. He sold twice the number of candles the second week as he did the
first week. In the third week, Mark sold 4 less than the number he sold the first
week. Which expression represents the total number of candles Mark sold in the
three weeks?
A.2x – 4
B.3x + 4
C.3x – 4
D.4x – 4
Plzssss SHOW YOUR WORK PLZSSS
Answer:
D
Step-by-step explanation:
If x is the first week, and he sold twice the amount so this could be represented as 1x (the first week) plus 2x (the second week since its twice the amount of the first week) and the third week can be represented as 1x-4 since its the same amount of candles sold minus 4. If you add them all together you get 1x+2x+1x-4. if you add like terms you get 4x-4. Hope this helps :)
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answer:
An Echo
Step-by-step explanation: