Solve the following proportion for n.
4/12 = n/72
Answer:
n = 24
Step-by-step explanation:
(4/12)*72 = n
24 = n
Write an equation of the line in slope-intercept form.
f(0)=9, f(2)=4
Answer:
f(x)=-[tex]\frac{5}{2}\\[/tex]x+9
Step-by-step explanation:
Use the slope formula and slope intercept formula form y=mx + b to find the equation
which is the best approximation of square root of 51
a 5.9
b 5.3
c 9.2
d 7.1
need answer asap
Answer: Answer is D.
Step-by-step explanation:
Answer:
d 7.1Step-by-step explanation:
Use a calculator
Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medicine. a. About how much medicine in grams? Estimate the amount of each by rounding to the nearest tenth of a gram before finding the sum. Show your thinking. b. Find the exact amount of medicine mixed by Dr. Stevens. c. What is the difference between the exact amount and the estimated amount of medicine? d. How many grams are in one dose of medicine? Explain your strategy for solving.
Answer:
A. 29.93 grams
B. 29.925 grams
C. 0.005 grams
D. 5.985 grams per dose
Step-by-step explanation:
Chemical A = 10.357 grams
Chemical B = 12.062 grams
Chemical C = 7.506 grams
Number of doses of drugs = 5
A. About how much medicine in grams
Round each chemical to the nearest tenth
Chemical A = 10.36 grams
Chemical B = 12.06 grams
Chemical C = 7.51 grams
Total medicine in grams = chemical A + chemical B + chemical C
= 10.36 + 12.06 + 7.51
= 29.93 grams
B. Find the exact amount of medicine mixed by Dr. Stevens.
Total medicine in grams = chemical A + chemical B + chemical C
= 10.357 + 12.062 + 7.506
= 29.925 grams
C. What is the difference between the exact amount and the estimated amount of medicine
Difference = Estimated amount - Exact amount
= 29.93 grams - 29.925 grams
= 0.005 grams
D. How many grams are in one dose of medicine?
Grams in a dose = exact amount of chemicals / 5 doses
= 29.925 grams / 5
= 5.985 grams per dose
Approximately 5.99 grams per dose
Please help and explain!!!
Traveling with the wind, Jerry takes 10 minutes to bike to the local library. Traveling against the wind, it takes him 15 minutes. The library is 2.5 km away. What is Jerry's bicycling speed in still air?
Answer:
[tex]0.2\ km\ per\ minute[/tex]
Step-by-step explanation:
[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]
[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]
PLEASE HELP 20 points!!!6) Find the inverse function. Use f-1(x) to indicate the inverse function and 5 points
parenthesis for the numerator, if needed. Example: f-1(x)=(x+7)/5 *
f(x) = 4x - 2
Your answer
Answer:
Step-by-step explanation:
ANSWER: 16x+=92
The product of 15 and a number x is −75.
Answer:
the solution is in the figure
the number is -5
what is an equetion of the line that paraell to y=3x - 8and passes through the point[4,-5]
Answer:
-2.5 I THINK
Step-by-step explanation:
A contractor brought 12.6 ft.² of sheet metal. She had used 3.7 ft.² so far and has $267 Worth of sheet metal remaining. The equation 12.6 X -3.7 X equals 267 represent how much sheet metal germinating in the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
12.6x - 3.7 x= 267
8.9x = 267
x= 267/8.9=30
x= per square foot charge = 30 $
Given: x-5>-2.
Choose the solution set.
O {XIXER,X > -7)
OxIXER, x>-3)
O {XIXER, x > 3)
O XIXER,X>7)
Answer:
The solution set is {x : x ∈ R, x > 3} ⇒ C
Step-by-step explanation:
The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}Let us solve the question
∵ x - 5 > -2
→ Add 5 to both sides of the inequality
∴ x - 5 + 5 > -2 + 5
∴ x > 3
→ By using the first rule above
∴ The solution set is {x : x ∈ R, x > 3}
Store A sells a set for $25 and offers a 10% discount. Store B sells a set for $27 and offers a 20% discount. Store C sells a set for $26 and offers a 15% discount.
Answer:
store a's set after discount is $22.5
store b's set after discount is $21.6
store c's set after discount is $22.1
so store b would be the cheapest hope this helps please give me brainliest
Step-by-step explanation:
Find the slope of the line.
(1,6)
(3,2)
Its also on the picture btw
Answer:
- 2
Step-by-step explanation:
It helps when u make a table using the points given
x y
1 6
3 2
from 6 to 2 you need to subtract 4
from 1 to 3 you need to add 2
now its y/x
4/2 = 2
Since the line is going down that means your slope is negative so...
-2 will be your slope
Hope this helped!
Answer:
The slope is -2.
Step-by-step explanation:
There are two ways to solve this problem.
1st way is by looking at the graph:
*Identify what the rise over run is. In this case, it woult be 2 over 1 which if you divide 2÷1, it would be 2.
*Then, if the graph is going down, the slope is negative, and if the graph is going up, the slope is positive. If it's vertical, the slope is undefined, and if it's horizontal, the slope is zero. Since, it's going down, your slope would be negative.
2nd way is by subtracting y2 - y1 and x2 - x1:
(The order doesn't matter as long as you are subtracting correctly)
* First, 6 minus 2 is 4, and 1 minus 3 is -2. After, divide 4 by -2, and you'll end up with -2.
* Or you can do it the other way round. First, 2 minus 6 is -4, and 3 minus 1 is 2. After, divide -4 by 2, and you'll end up with -2
Can anybody help with this?
Answer:
12
Step-by-step explanation:
Because < this means less than. So therefore 5 is less than 12
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the
Answer:
15 ounces per box
Step-by-step explanation:
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
Total weight of crackers in the boxes = 165 ounces
Total number of boxes = 11 boxes
What is the weight, in ounces, of one box?
Weight per box of crackers =
Total weight of crackers in the boxes / Total number of boxes
= 165 ounces / 11 boxes
= 15 ounces per box
The weight, in ounces, of one box is 15 ounces
The equation
24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.
What is the value of a?
A) -16
B) -3
C) 3
D) 16
Answer:
Either A or C I think, Good luck!!!
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
24x2+25x−47=(−8x−3)(ax−2)−53
then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The final answer is B.
–5x + 10 > –15?
solve
Answer:
x<5
Step-by-step explanation:
Answer:
-2 > -15
Step-by-step explanation:
-2 is greater than -15
from 2000 to 2010, the population of Florida increased by 23.5%. the population in 2000 was 15,982,378
Answer:
ok
Step-by-step explanation:
find the missing side length
The range of the function
Answer:
Range: {-4, 3, 5}
Step-by-step explanation:
The range of a function includes all the set of possible output, or y-values in a given data set of a function.
Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.
This can be written as:
Range: {-4, 3, 5}
Blockbuster Video charges $3 to a rent a video, plus an additional $2 for every day that the video is late. Which equation can be used to represent the fee that a customer pays for the video based on the number of days that the video is late?
y = 3 + 2
y = 3x + 2x
y = 2x + 3
y = 3x + 2
y = 3(2x)
Answer:
y=2x+3
Step-by-step explanation:
the normal charge is 3 + 2 x number of days so this equation is the correct one.
6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
[tex]C = 42[/tex]
[tex]L= 126[/tex]
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
[tex]42 = 2^1 * 3^1 * 7^1[/tex]
[tex]126 = 2^1 * 3^2 * 7^1[/tex]
Hence, the GCF is
[tex]GCF = 2^1 * 3^1 * 7^1[/tex]
[tex]GCF = 42[/tex]
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
[tex]Treats = \frac{C}{GCF}[/tex]
[tex]Treats = \frac{42}{42}[/tex]
[tex]Treats = 1[/tex]
For L:
[tex]Treats = \frac{L}{GCF}[/tex]
[tex]Treats = \frac{126}{42}[/tex]
[tex]Treats = 3[/tex]
Hence, 1 candy bar and 3 lollipops
A family bought a total of 32 adult and child tickets to eat at the dining hall.
Adult tickets are $21 each and children are $15 each.
The family paid a total of $282
Write an equation to model the total number of tickets sold.
Write an equation to model the cost of tickets sold.
How many of adult tickets, “x” and child tickets, “y” did they buy?
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
What are the coordinates of point (-2, 4) after a 180 degree rotation?
Answer:
(2,-4)
Step-by-step explanation:
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
A cell phone company charges $89.99 for a new phone and then $19.99 per month. Write a function to represent this situation.
Please help me
Answer:
y= 19.99x +89.99
Step-by-step explanation:
Answer:
Step-by-step explanation:
$89.99+$19.99x
Please help me out!
Answer:
4/3
Step-by-step explanation:
4/7 + 1/5 =
Show full steps
Topic: Adding fractions
Answer:
27/35
write all numerators above the LCD 35
20 + 7 over 35
add the numerators
The answer is in the two images below and one of them shows step-by-step on how to solve it.
Hope this helps my friend! :)
Which scatterplot demonstrates a non-linear relationship between x and y?
Answer:
D, or the bottom right.
Step-by-step explanation:
The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.
The straight scatter plots denote linear relationships.
The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.
The scatter plot parallel to x axis, denotes constant values of y at various levels of x.
The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.
To learn more, refer https://brainly.com/question/21839842?referrer=searchResults
Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour
Lori scored 26 points in the game. This was 2 less than four times the number of points Ben scored. Which equation can be used to find, b, the number of points Ben scored?
my question is in the picture
Answer:1
Step-by-step explanation:
