Answer:
the equation would be 8(m+7)=21
What’s the slope of the line?
Answer:
3/4
Step-by-step explanation:
take rise / run or find 2 points and apply slope formula
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
[tex]m=\frac{3}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from the graph.
Point (0, -1)
Point (4, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2+1}{4-0}[/tex]Add/Subtract: [tex]m=\frac{3}{4}[/tex]And we have our final answer!
Every time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number.
This question was not properly written
Complete Question
Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make
Answer:
3 batches of brownies from 3/2 cups of chocolate left.
Step-by-step explanation:
From the question, we know that:
1/2 cups of chocolate = 1 batch of brownies
3/2 cups of chocolate = x
Cross Multiply
1/2 × x = 3/2
x = 3/2/1/2
x = 3/2 × 2/1
x = 3 batches.
Approximately as a whole number , he can make 3 batches of brownies from 3/2 cups of chocolate left
f(5) if f(x) = 3x - 2
Answer:
f(5)=12
Step-by-step explanation:
Replace all x by 5
f(5)=3(5)-2
multiply 3 and 5 together
f(5)=15-2
Simplify:
f(5)=13
Hope this helps!
Answer:
[tex]f(5) = 3(5) - 2 = 15 - 2 = 13[/tex]
Step-by-step explanation:
Hello. Just exchange x with 5.
an older tv screen was 44 centimeters wide. the newer model increased the screen size by 13 percent. how wide is the new tv screen?
Answer:
49.27
Step-by-step explanation:
[tex]\frac{x}{44} = \frac{113}{100}[/tex] - this is what you're going to set up. 113 is 100%+13%, which is what you need to solve the question, since we have 44 set up as our base size (and equal to 100%). Cross multiply so you are left with 100x=4927, then solve for X, and you get our answer of 49.27. Round accordingly.
Solve for X due in the morning please help
84 degrees
Step-by-step explanation:
180=60+36+x
180=96+x
-96 -96
x=84
A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.
Answer:
C) x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
Step-by-step explanation:
A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.
Which system of inequalities represent the constraints for this situation? Let x = number of shirts, and let y = number of skirts.
A) x ≤ 0 and y ≤ 0
0.5x + y ≤ 800
x + 1.5y ≤ 500
B) x ≤ 0 and y ≤ 0
0.5x + y ≥ 800
x + 1.5y ≥ 500
C) x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
D) x ≥ 0 and y ≥ 0
0.5x + y ≥ 500
x + 1.5y ≥ 800
number of shirts,x and number of skirts,y must be greater than 0 since it can not be a negative value
x ≥ 0 ; y ≥ 0
Inequality for number of yards
x = 0.5 yards ; y = 1 yard
Total yards = 500
The inequality is
0.5x + y ≤ 500
Inequality for hours of production
x = 1 hour ; y = 1.5 hours
Total available hours for production = 800
The inequality is
x + 1.5y ≤ 800
Therefore, the system of inequalities which represent the constraints for this situation is
x ≥ 0 ; y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
When graphed the system shows that the manufacturer should make 200 shirts and 400 skirts for a maximum profit.
The salaries of a random sample of a company's employees are summarized in the frequency
distribution below. Approximate the sample mean.
Salary (5) Employees
3.001-10,000 14
10.001-15,000 16
15.001-20,000 14
20.001-25.000
17
25.001-30.000
19
The required approximate sample mean salary is $17750.725.
How to find the sample mean?
To approximate the sample mean, we first need to find the midpoint of each salary range and then multiply it by the number of employees in that range to get the total salary for that range. Then we can sum the total salaries and divide by the total number of employees to get the sample mean.
The midpoint of each salary range can be found by taking the average of the lower and upper bounds of the range. For example, the midpoint of the first range (3.001-10,000) is (3.001 + 10,000) / 2 = 5001.5005.
Using this approach, we can construct the following table:
Salary (5) Employees Midpoint Total Salary
3.001-10,000 14 5001.5005 70021.007
10.001-15,000 16 12500.5000 200008.000
15.001-20,000 14 17500.5000 245007.000
20.001-25.000 17 22500.5000 382511.500
25.001-30.000 19 27500.5000 522510.500
To find the sample mean, we add up the total salaries and divide by the total number of employees:
[tex]$\bar{x} = \frac{\sum_{i=1}^n x_i}{n} = \frac{70021.007 + 200008.000 + 245007.000 + 382511.500 + 522510.500}{14 + 16 + 14 + 17 + 19} \approx 17750.725$[/tex]
Therefore, the approximate sample mean salary is $17750.725
To know more about Mean visit:
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How much pizza is left?
Answer:
The correct answer is 1 and 3/8
Step-by-step explanation:
HAVE A GOOD DAY!
Answer:
2 3/8 pizza is left.
Step-by-step explanation:
3-1 5/8=2 3/8
If 2x/3+x/2=1/6, then x=?
Two hot air balloons are flying above a park. One balloon started at a height of 3,000 feet above the ground and is decreasing in height at a rate
of 40 feet per minute. The second balloon is rising at a rate of 50 feet per minute after beginning from a height of 1,200 feet above the ground.
Given that h is the height of the balloons after m minutes, determine which system of equations represents this situation.
A. h=3,000-40m
h=1,200+50m
B. h=3,000+40m
h=1,200-50m
C. h=3,000m-40
h=1,200m+50
D. m=3,000-40h
m=1,200+50h
Answer:
A. h=3,000-40m h=1,200+50mStep-by-step explanation:
Height of the first balloon:
h = 3000 - 40mHeight of the second balloon:
h = 1200 + 50mCorrect option is A.
Answer:
the answer is A
Step-by-step explanation:
you said that the first balloon was falling at a rate of 40 feet per minute.that would be 3,000-40m. then you said the second balloon was rising at a rate of 50 feet per minute. that would be 1,200+50m. ther is your answer
Sally found the deal of the century when buying a TV. • The store advertised the TV for 1/3 off. • At the register she handed the cashier a coupon for an additional 1/4 off. If the TV originally cost $320 how much did she pay for it?
Answer:
$160
Step-by-step explanation:
These discounts would be added one after the other. Therefore, we would first apply the first discount of 1/3 to the original price. Since it is a discount it means that from the original price we would pay 2/3. We do this by multiplying this fraction by the original price like so...
$320 * (2/3) = $213.33
Now we add the second discount of 1/4. Again, since it is a discount it means that we would be paying 3/4 of the current price.
$213.33 * 3/4 = $160
Finally, we can see that Sally would have ended up paying $160 for the TV.
URGENT NEED HELP FAST
Answer: I think it’s the 4th one
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
Shaded below means less than
It takes Amy 18 minutes to read 4 pages of a book. The Hunger Games has 374 pages, Catching Fire has 391 pages, Mockingjay has 517 pages and the newest book, The Ballad of Songbirds and Snakes, has 390 pages. If she has already read The Hunger Games, how long will it take her to read the rest of the book series?
help please
explain to please!!
Answer:
5841 minutes
Step-by-step explanation:
first divide 18 by 4 giving you 4.5 minutes
next add the page number of all the books (excluding The Hunger Games) giving you 1298 pages
and finally multiply 4.5 by 1298 giving you 5841
hope this helped!
Please help thank u , you smart ...
Answer:
6 and 0
Step-by-step explanation:
When we have f(-3) and f(6), that means we plug -3 and 6 in for x to solve for f(x):
f(-3) = (-2/3) * (-3) + 4 = 2 + 4 = 6
f(6) = (-2/3) * 6 + 4 = -4 + 4 = 0
The answers are thus 6 and 0.
What is 2.987 as a percent
Answer:
0.02987 %
Step-by-step explanation:
2.987 / 100 = 0.02987 %
Please help!! 50 points
Answer:
4,left,4,down
Step-by-step explanation:
Answer:
4 units to the left and 4 units down
Step-by-step explanation:
(1,5)-4 units to the left is x value of -3
and (-3,5) 4 units down is y value of 1
Graph 8x−4y=16. From Big Ideas Math
Solve for y.
8x−4y=16
-4y = -8x + 16
y = (-8x + 16)/-4
y = (-8x)/-4 + (16/-4)
y = 2x - 4
We only need two points to graph linear equations.
Now let x be 0 and solve for y.
y = 2(0) - 4
y = -4
This leads to the point (0, -4).
We need another point.
Let y = 0 and solve for x.
0 = 2x - 4
4 = 2x
4/2 = x
2 = x
This leads to the point (2,0).
Plot these two points on the xy-plane and connect the points with a straight line.
I'll let you do that.
Understand?
A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could the restaurant cell before they ran out of lemonade?
Given:
A container holds 4 gallons of lemonade.
A large lemonade contains 16 ounces.
To find:
The number of large lemonades that the restaurant can cell before they ran out of lemonade.
Solution:
We know that,
1 gallon = 128 ounces
4 gallon = 512 ounces
So, a container holds 512 ounces of lemonade.
A large lemonade contains 16 ounces. So,
[tex]\text{Number of large lemonades}=\dfrac{\text{Total lemonade in container}}{\text{Lemonade in a large container}}[/tex]
[tex]\text{Number of large lemonades}=\dfrac{512}{16}[/tex]
[tex]\text{Number of large lemonades}=32[/tex]
Therefore, the required number of lemonades is 32.
If y = 45 when x = 180, what is the y when x= 90
Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5
PLEASE HELP WITH WHAT YOU CAN PLEASEEEEEEEE I WILL GIVE BRAINALIST TO FIRST PERSON and extra points please help
Answer:
15: x < 1
16: x ≥ -2
17: x > 0
18: x ≤ 3
19: x equals the number of people in the auditorium
x ≤ 1200
8. José drives 65 miles per hour when he travels. Sherry drives 450 miles in 9 hours. Which driver has a faster rate of change?
x+54+x+70+80=180
find (x+54)
Answer:
42
Step-by-step explanation:
2x+204=180
2x= -24
x= -12
-12+54=42
i really need help with 4 if anyone knows it please help im begging :(
Answer:
I think 3
Step-by-step explanation:
I'm not totally for sure about it though. sorry :(
Answer:
Triangle sum theorem
Step-by-step explanation:
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about μ if the sample size, n, is 17. (b) Construct a 96% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Answer:
Step-by-step explanation:
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about μ if the sample size, n, is 17. (b) Construct a 96% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Darla is able to drive her car 37.5 miles per gallon of gasoline. Write the
answer of the minimum number of gallons of gasoline Darla would need
to drive 120 miles to her brother's house.
Please help me.
Please help me on this math question
Answer:
(-1, 2)
Step-by-step explanation:
What is the slope? Please help me outt!
Answer:
The slope is m = -1
Step-by-step explanation:
Use the slope formula:
m=y2-y1/x2-x1
= -0-(-2)/-2-0
= 2/-2
= -1
Hope this helps!!!
Answer:
slope is -1
Step-by-step explanation:
help pleaseeee 5/7 - 4/3 WILL MARK BRAINLIEST + 13 POINTS
Answer: -0.619
Step-by-step explanation:
Figure ABCDE was reflected across the line y = x to
create figure A'B'C'DE! What are the coordinates of the
pre-image of E'?
8
El
BI
C'
D
X
18
A
E
4
8
Intro
Done
Answer: E is located at (-2, 6)
Explanation:
The rule for reflecting over y = x is [tex](x,y) \to (y,x)[/tex]
The x and y coordinates swap places.
Point E' is located at (6, -2) so that means point E must be located at (-2, 6)
How does the size of an image compare to the original figure when the original figure undergoes a dilation with a scale factor of one?
Answer:
Step-by-step explanation:
