Answer:
[tex]f=\frac{9c}{5}+32[/tex]
Step-by-step explanation:
[tex]c=\frac{5\left(f-32\right)}{9}[/tex]
Switch sides:
[tex]\frac{5\left(f-32\right)}{9}=c[/tex]
Multiply both sides by 9:
[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]
[tex]5\left(f-32\right)=9c[/tex]
Divide both sides by 5:
[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]
[tex]f-32=\frac{9c}{5}[/tex]
Add 32 to both sides:
[tex]f-32+32=\frac{9c}{5}+32[/tex]
[tex]f=\frac{9c}{5}+32[/tex]
-4k + 2(5k − 6) = −3k – 48
Answer:
k = -4
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Distribute on the left side.
-4k + 10k - 12 = -3k - 48
Combine like terms on the left side.
6k - 12 = -3k - 48
Add 3k to both sides.
9k - 12 = -48
Add 12 to both sides.
9k = -36
Divide both sides by 9.
k = -4
On a piece of graph paper, graph y=2x-3. Then determine which answer matches the graph you drew.
Answer:
Swan85 is incorrect. Here is the correct answer.
The required graph of the line y = 2x -3 has been attached.
What is the equation of a line?The equation of a line is typically written in slope-intercept form, which is:
y = mx + b
Where:
"y" represents the y-coordinate of a point on the line.
"x" represents the x-coordinate of the same point on the line.
"m" represents the slope of the line.
"b" represents the y-intercept of the line (where the line crosses the y-axis).
In this form, "m" and "b" are constants that determine the position and orientation of the line.
Here,
The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.
Based on this graph, the graph of the line y = 2x -3 has been attached.
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PLEASE HURRY, 20 POINTS
A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 feet. What is the width of the rectangle in feet? Enter your answer as a decimal in the box.
Answer:
[tex]2.4\text{ feet}[/tex]
Step-by-step explanation:
A rectangle's perimeter is given by the formula:
[tex]P=2(l+w)[/tex]
A rectangle's area is given by the formula:
[tex]A=lw[/tex]
We are given that they have the same numerical value. In other words:
[tex]2(l+w)=lw[/tex]
And we are also given that the length is 12 feet. So, substitute 12 for l:
[tex]2(12+w)=12w[/tex]
To solve for the width, we just need to solve for w.
On the left, distribute:
[tex]24+2w=12w[/tex]
Subtract 2w from both sides. The left side cancels:
[tex]24=10w[/tex]
Divide both sides by 10. Flip also:
[tex]w=\frac{24}{10}[/tex]
Reduce both layers. Use 2. So:
[tex]w=12/5=2.4[/tex]
So, the width is 2.4 feet.
And we're done!
Answer:
2.4
Step-by-step explanation:
Similar triangles vs con congruent explanation
Answer:
Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.
The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes. A graph titled Cost of Gift Cards. The x-axis shows the number of gift cards, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 10 to 90. Blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80). What would be the cost for 5 of the gift cards? $80 $90 $100 $110
Answer:
the answer is 100$ on endgunuity
Step-by-step explanation:
The cost for 5 of the gift cards is $100. Therefore, option C is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80).
Now, we will find m and c using the points (1,20) and (2,40)
Let x be the number of gifts cards and y is total cost (in $).
The slope, m = (40-20)/(2-1)
m = 20
Equation of straight line is given as,
y = mx + c
Put the value of m,
So, y = 20x + c
Substitute with the point (1,20) in y=20x+c, we get
20 = 20×1 + c
20 = 20 + c
c = 0
The equation of the line, y = 20x
To find the cost for 5 of the gift cards substitute with x = 5
y = 20×5 = 100
So, the cost for 5 of the gift cards = $100
Therefore, option C is the correct answer.
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how to factor x^2 +x-2
Answer:
(x - 1) (x + 2)
Step-by-step explanation:
Use the AC method
4. GROCERIES A local grocery store sells grapes for $1.99 per pound. Determine whether the function that models the
cost of grapes is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of the
function.
Answer:
Ok, we know that the price, per pond of grapes, is $1.99.
Now the function that models the cost of grapes is:
C(x) = $1.99*x
Where x is the number of pounds that you buy.
Here we can assume two things:
1) The grapes are already in bags, so x can be only whole numbers, as x can take only whole numbers, the cost c(x) will be discrete because there are a lot of possible costs that are not accessible.
Then the domain is:
D: {0, 1, 2, 3, 4.....}
And the range is :
R: {0*$1.99. 1*$1.99, 2*$1.99, ...}
2)You can choose any amount of grapes that you want, and then the grapes are weighted when yo pay. (This has not really sense, but it is fun to analyze the problem in different ways)
Here the weight can take almost any value, because with individual grapes you can have almost any number of pounds.
But the unit that defines the total weight is the weight of a single grape.
Then if you have N grapes (and all of them weight almost the same, let's say M)
The total weight will e N*M
If you add one more grape, the weight is: (N + 1)*M
Then it is still discrete!
As we do not know the mean weight of a grape, we can not find the domain nor the range in this situation, so the one above is the one that we should consider the correct one.
what has an infinite number of points and lines on a flat surface.
Answer: a plane
Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).
Find the midpoint of the segment with the following endpoints. (1, 1) and (7,7)
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answer:
shortest side = 3 in
Step-by-step explanation:
Sum the 3 sides and equate to 13, that is
x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is
x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )
x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )
2x + x = 24
3x = 24 ( divide both sides by 3 )
x = 8
Thus
x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then
The shortest side is x - 5 = 3 in
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The cube of the difference of 1 and a number.
Answer:
1-x=y cubed
Step-by-step explanation:
difference between 1 and a number is 1-x and the answer to this you cube.
Please help will give 50 points!
Answer:
I'll answer it
Step-by-step explanation:
do you need it now
Answer:
B Hope this helps
Step-by-step explanation:
Matthew and his 3 siblings are wedding a flower bed with an area of 9 square yards. If they shared the job equally,how much square yards of the flower bed will each child need to weed
Dominique had $250 to spend at the mall. She bought jeans for $27.50, a sweater for $32.75, and 3 shirts for $12.50 each. How much money does she have left after shopping?
Answer:
152.25
Step-by-s152.25tep explanation:
Answer:
Dominique has $162.25 dollars left after shopping.
Step-by-step explanation:
250 - 17.50 - 32.75 - 12.50 x 3
250 - 17.50 - 32.75 - 37.5
232.5 - 32.75 - 37.5
199.75 - 37.5
162.25
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explanation:
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
Hence, the correct option is (a).
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural Number Natural Number Whole Number
Answer:
1/3 is a rational number
Step-by-step explanation:
Mason sold 10 wristbands and made a total of 5 dollars. What is the unit rate?
Answer:
10 = 5x
5/10
x =1/2
unit rate is equal to 0.50
Step-by-step explanation:
Train A and train B stops at Swindon at 10:30 . Train A stops every twelve minutes and train B stops every 14 Mins , when do they both stop at Swindon again ?
Answer: at 11:54
Step-by-step explanation:
Let's define the 10:30 as our t = 0 min.
We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.
To find the least common multiple of two numbers, we must do:
LCM(a,b) = a*b/GCD(a,b)
Where GCD(a, b) is the greatest common divisor of a and b.
In this case the only common divisior of 12 and 14 is 2.
So we have:
LCM(12, 14) = 12*14/2 = 84.
Then the both trains will stop 84 minutes after 10:30
one hour has 60 mins, so we can write 84 minutes as:
1 hour and 24 minutes = 1:24
Then they will stop at the same time at 10:30 + 1:24 = 11:54
The graph of a linear function is shown.
Which word describes the slope of the line?
1. Positive
2. Negative
3. Zero
4. Undefined
The slope of the linear function is negative
The graph is a linear function that has the following property:
As the x values increase, the y value reducesAs the x values decrease, the x value increasesThe above highlight implies that the slope of the line is negative
Hence, the true statement is (2) Negative
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Answer:
Negative
Step-by-step explanation:
Edge
WILL MARK FIRST ANSWER AS BRAINLIEST
Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?
1.25+2x=.50+5x
Find the cost of a donut in #17
Answer:
$0.25 per donut.
Step-by-step explanation:
So, we know that Jamie spends the same amount of money each morning.
On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.
On Monday, he spent $0.50 on a newspaper and bought 5 donuts.
Since he spend the same amount of money each morning, we can say that:
[tex]1.25+2x=0.5+5x[/tex]
Where x represents the cost per donut.
So, to find the cost of a donut, we need to solve for x.
So, let's try to isolate the x. Subtract 2x from both sides:
[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]
The left side cancels. Subtract on the right:
[tex]1.25=0.5+3x[/tex]
Now, let's subtract 0.5 from both sides:
[tex]0.75=3x[/tex]
To find x, divide both sides by 3:
[tex]x=0.75/3[/tex]
Divide:
[tex]x=0.25[/tex]
Therefore, each donut cost $0.25.
And we're done!
Water Use
50
40
30
Water used (gal)
20
10
O
2 4 6 8 10
Time (min)
O y = 10x
O y = 5x
O y=1/10
O y = 1/5
HEEELLLLPPPP MEEEE ASAP!!!!!!!!!!!
Josh determined the solution set to the following inequality. His work is shown below.
|36 – 4p| > 16
1. (36 – 4p) > 16, –(36 – 4p) > 16
2. –4p > –20
p > 5
3. –36 + 4p > 16
4p > 52
p > 13
4. p > 5 or p > 13
Analyze Josh’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No. In step 1 his second inequality is not correct.
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.
Answer:
c
Step-by-step explanation:
If x^2 = 49, then x^-2 =
Answer:
0.001665973
Step-by-step explanation:
El numero de suscriptores a un periodico fue de 200000 en 1998 y de 350000 en el año 2001. Suponiendo que la relacion es lineal, ¿cual seria el numero de abonados en el año 2006?
Answer:
I can't understand your language
Can someone please help me understand the Pythagorean theorem? I am having a hard time with it
Answer:
pythagoras theorem
Step-by-step explanation:
watch khan academy video on you tube or the organic chemistry tutor , very helpful i had difficulty too but now I don't
Haruki has $20 in his savings account. Each
week he will add $5 to it. He wants to draw
a graph that shows how much money is in
his savings account over time, starting with
$20. What is the equation of the line?
Answer:
y=5x+20
Step-by-step explanation:
It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.
Answer:
y=5x+20
Step-by-step explanation:
Round the following number to the place indicated: 65,327; thousands
65,330
70,000
65,000
65,300
Identify the property of real numbers illustrated in the following equation.
6x + (-6x®) = 0
Answer:
Inverse property of addition is what I think.
Step-by-step explanation:
Find the x and y intercepts of the graph of the function
Answer:
y intercepts= 0 x intercepts= none
nation:
The 2 funtions above the x axis do not intercept with the y-axis or the x-axis. They just hover above it, but never atcually touch it.
The function bellow the x-axis only intercepts the y-axis at 0,0
The x and y intercepts of the graph of the function are x=none and y=-1 respectively.
From the given figure we need to find the x and y intercepts of the function.
What is x and y intercepts of the function?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
From the graph, we can see two curves running on x-axis.
The curve crosses the y-axis at y=-1.
Therefore, the x and y intercepts of the graph of the function are x=none and y=-1 respectively.
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PLZ HELP WILL GIVE BRAINLIEST
Answer:
A. Yes
B. No
C. Yes
Step-by-step explanation:
A. 90 divided by -9 equals -10. So -10+10=0
B. -10 times -9 equals 90. 90+90=180
C. -90 dived by 9 equals -10. Subtracting a negative number is equal to adding it so -10 - (-10) = 0