Since , the relation is linear .
Let equation is y = mx + c .
Putting , x = 0 and y = 32 .
32 = c .......( 1 )
Also , putting x = 100 and y = 212 .
We get :
212 = 100m + c .......( 2 )
Comparing equation 1 and 2 .
100m = 212 - 32
x = 1.8
Therefore , y = 1.8x + 32 .
Hence , this is the required solution .
[tex]y=\dfrac{9}{5}x+32[/tex] represents degrees Fahrenheit in terms of degrees Celsius. where x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.
Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.
Let us consider two variables x and y as following:
x represent the temperature in degrees Celsius
y represent the temperature in degrees Fahrenheit
Equation depicting relation between variable x and y is
[tex]y-y_1=m(x-x_1)[/tex]...........................1
where, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the given conditions:
[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]
Substituting to calculate the value of m,
[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]
From equation 1
[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]
Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is [tex]y=\dfrac{9}{5}x+32[/tex].
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5-3(5x+2)+15x
Show and explain work
Answer:
-1
Step-by-step explanation:
5-3(5x+2)+15x
Distribute
5 - 3*5x - 3*2 +15x
5 - 15x -6+15x
Combine like terms
5-6 -15x+15x
-1
Given y2 + 5y - 6 = (y + p)(y +q) find the
values of p and q.
Answer:
p = 6, q = - 1
Step-by-step explanation:
Factor the left side and compare to right side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1, since
6 × - 1 = - 6 and 6 - 1 = + 5, thus
y² + 5y - 6 = (y + 6)(y - 1)
Compare with (y + p)(y + q) , then
p = 6 and q = - 1
help me plz i will mark
Answer: I think it's the 2nd one
and I'm not guessing but yea it's probably the 2nd one
Step-by-step explanation:
Alebra 1 - 10pts
Solve for x.
x/4 ≥−8
A. x≤−2
B. x≤−32
C. x≥−32
D. x≥−2
Answer:
C. x≥−32
Step-by-step explanation:
Multiply both sides by 4
Answer:
C, you have to multiple both sides. Let me know if you need it explained further.
Step-by-step explanation:
Please help brainiest !!
Answer:
2760 ft^3
Step-by-step explanation:
volume of a cube formula:Length * width* height
volume of the big cube= 11*10*22
= 2420 ft^3
volume of the small cube=7*4*10
=280 ft^3
now to find the total volume= volume of the big cube + volume of the small cube
=2420 + 280
=2760 ft^3
Help me please thank you
5.47 rounded to the nearest tenth
Answer:
5.5
Step-by-step explanation:
5.47 to the nearest tenth. Go to the next digit after tenths. It is greater than 5. So, the tenth digit is one greater. 5.5 is the answer.
The required, 5.47 rounded to the nearest tenth is 5.5.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
Rounding to the nearest tenth means finding the number that is closest to the original number but with one decimal place. In this case, the number 5.47 rounded to the nearest tenth would be 5.5.
The rounding rule is to look at the digit in the hundredth place (the digit to the right of the tenth place). If the digit is 5 or greater, we round up to the next whole number. If the digit is less than 5, we leave the number unchanged.
In this case, the digit in the hundredth place is 7, which is greater than 5. So, we round up the digit in the tenth place, making the number 5.5.
So, 5.47 rounded to the nearest tenth is 5.5.
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3x(x+30°) i really need help asap
A13x2+390x here is the answer
Answer:
x=15
Step-by-step explanation:
Simplifying
x + 30 = 3x
Reorder the terms:
30 + x = 3x
Solving
30 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
30 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
30 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
30 + -2x = 0
Add '-30' to each side of the equation.
30 + -30 + -2x = 0 + -30
Combine like terms: 30 + -30 = 0
0 + -2x = 0 + -30
-2x = 0 + -30
Combine like terms: 0 + -30 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15
on a coordinate grid, line segment ab has midpoint p at (4,-3). if endpoint b has coordinates of (24,16), what is the x-coordinate of point a?
Answer:
(-16,-22)
Step-by-step explanation:
B (24,16)
Mid point (4,-3)
24 is -20 away from 4
16 is -19 away from -3
4-20= -16
-3-19= -22
find the value of each power 5^-2
Answer:
5⁻² = 1/25
3⁴ = 81
Step-by-step explanation:
5⁻² = 1/5² = 1/25 3⁴ = 3² * 3² = 9*9 = 81Which of the following is equivalent to 125%
7\4
0.125
5/4
1.025
[tex]\huge\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]
[tex]\hrulefill[/tex]
Let's start by finding [tex]125\%[/tex] in decimal form. To do this, just divide the percentage by [tex]100[/tex]:
[tex]125\div100=1.25[/tex]
This doesn't match any of our choices, so we'll try fraction form.
A percentage in fraction form is just the percentage over a denominator of [tex]100[/tex].
[tex]\frac{125}{100}[/tex]
Now we divide both the numerator and denominator by their greatest common factor, which is [tex]25[/tex]:
[tex]\frac{125\div25}{100\div25}=\large\boxed{\frac{5}{4}}[/tex]
Solve the formula for m.
e = MC^2
M=
Answer:
[tex] M = \frac{e}{C^2 } [/tex]
Step-by-step explanation:
[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]
can u help me if u don't mind tbh tho
Answer:
Step-by-step explanation:
1. 13x + 2 = 4x + 38
9x + 2 = 38
9x = 36
x = 4
2. 6(2/3 + q/6 = 5/6q + 1/3)
4 + q = 5q + 2
4 - 4q = 2
-4q = -2
q = 2/4= 1/2
3. 6n + 24 = -18
6n = -42
n = -7
4. -11 + 3b + 15 = 7
3b + 4 = 7
3b = 3
b = 1
5. 5 + 2n + 2 = 2n
2n + 7 = 2n
0 ≠ 7
6. 7 - 3r = r - 8 - 4r
7 -3r = -3r - 8
0 ≠ -15
7. 14v + 6 = 10 + 14v - 4
14v + 6 = 14v + 6
0 = 0
infinitely many solutions
8. 5h - 7 = 5h - 10 + 3
5h - 7 = 5h - 7
0 = 0
infinitely many solutions
9. a. 10x + 10 (triangle)
b. 4x + 2x + 26 = 6x + 26 (rectangle)
10x + 10 = 6x + 26
4x + 10 = 26
4x = 16
x = 4
answer is A
Step-by-step explanation:
The largest artery is the aorta, the main high-pressure pipeline connected to the heart's left ventricle. The aorta branches into a network of smaller arteries that extend throughout the body. The arteries' smaller branches are called arterioles and capillaries.
Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *
[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]
[tex]\hrulefill[/tex]
We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:
[tex]\frac{5}{n}[/tex]
Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:
[tex]\frac{5}{n}\bold{-7}[/tex]
To ensure profits, a store is going to sell a sweater for 115 percent of the production cost. It costs $10 to make the sweater. Below are the calculations for finding the selling price. What mistake did the store owner make? (Original Cost)(Percent) = New Cost ($10)(0.115) = $1.15 The new cost is correct. The owner should have divided by 0.115. The owner should have multiplied by 11.5. The owner should have multiplied by 1.15.
Answer:I did the test and the answer is The owner should have multiplied by 1.15.
Step-by-step explanation:
Sample text
To make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.
What is percentage?" Percentage is defined as the hundredth part of any given number".
According to the question,
Production cost of a sweater = $10
To ensure profit , selling price = 115 percent of the production cost
(Original Cost)(Percentage)
[tex]= (10)(\frac{115}{100} )[/tex]
[tex]= $11.5[/tex]
Hence, to make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.
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How many solutions does the following equation have?
14x + 12] = 0
Answer:
[tex]x=-\frac{6}{7}[/tex]
It has one solution
Step-by-step explanation:
[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]
In a quiz show, I get 23 out of 50 questions right. What
percentage did I get right?
Answer:
46%
Step-by-step explanation:
percentage=23÷50×100%
=46%
Answer:
I'm not sure but i think it's 46% of questions
someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20
Answer:
The ratio is 7:13
Step-by-step explanation:
Find all the zeros of the quadratic function.
y=x²-11x+18
State the domain and range of the given relation
(-4,3), (-1,-4), (0, -4), (2, 3), (3, -3) (4, 7)
Answer:
work is shown and pictured
What are the 2 steps that are wrong
Answer:
Step-by-step explanation:
Step 2 to Step 3.
This is a major error. Minus signs always create trouble.
4 - 21 = -17
To this you add 30
- 17 + 30 = 13
So the answer is sqrt(13)
Answer:
Step 3 to step 4
Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))
Answer:
[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]
Step-by-step explanation:
Given
[tex]-3(-2 - 3/10)[/tex]
Required
Simplify
[tex]-3(-2 - 3/10)[/tex]
Apply Distributive Property;
This simply means that; we expand the bracket;
So, we have;
[tex]= (-3)(-2) + (-3)(3/10)[/tex]
From the list of given options, option A answers the question
Answer:
A
Step-by-step explanation:
I took the quiz
On a bookshelf there are 5 paperback books and 3 hardcover books. Is the ratio of books to hardcover books 5 : 3? Explain.
Answer:8:3
Step-by-step explanation:
there are 5 paper back and 3 hardcover
the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3
When a number is divided by -4 the quotient is -224. Find the number.
Answer:
896
Step-by-step explanation:
Simply multiply -224 * -4.
Find the slope of the line between the points (1, 4) and (-1,6)
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)
m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1
Each year, the science club puts on a science show for the students in the elementary school. Luis is planning demonstrations to show properties of metals. For one property, he decides to use a ball of pizza dough and a rolling pin.
Which property of metals is Luis most likely going to demonstrate using these materials
luster
opacity
conductivity
malleability
Answer:
D. Malleability because he is most likely going to show how you can easily roll pizza dough
Step-by-step explanation:
Answer:
malleability or D
Step-by-step explanation:
Solve for M
D=m/v
Show your work
Answer: m=vD
Step-by-step explanation:
To get m alone, you want to use algebraic properties.
[tex]D=\frac{m}{v}[/tex] [multiply both sides by v]
[tex]m=vD[/tex]
Now that we have mass alone, we know that m=vD.
Kelly can draw 15 shapes in 2 minutes how long does it take kelly to draw 120 shapes in the same rate
Answer:
16
Step-by-step explanation:
15/120
2/x (cross multiplication
Answer:
Your answer is 16 Minutes
Step-by-step explanation:
Very Easy!
15 Shapes/ 2 minutes = 120 Shapes/ X Minutes
Rearrange that, you get 15X = 240 as you cross multiplied,
240/15 = 16!
X=16!
The math club at Emily's middle school has 40 members. Only 85% of the members attend Saturday meetings. Use the number line below to determine the number of members who attend Saturday's mee
Answer: 34 members.
Step-by-step explanation:
We have 40 members.
Only 85% of them attend the Saturday meetings.
If we have a set of N objects, and the x% of them can be calculated as:
(x%/100%)*N
Now, if we want to know the exact amount that attends the Saturday meetings, then we must compute:
(85%/100%)*40 = 0.85*40 = 34.
Answer:
Please see attached number line
The 85% corresponds with having 34 members in attending Saturday meetings
Step-by-step explanation:
The number of members in the math club at Emily's middle school = 40
The percentage of members that attend Saturday meetings = 85%
Therefore, the number of members that attend Saturday meetings is given as follows;
85% of 40 = 0.85 × 40 = 34 members
Where we have a number line graduated in percentages, we get;
Percentage of members, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
Number of members, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
Therefore, the 85% corresponds with having 34 members in attending Saturday meetings
1 less than the product of 2 and a number
Product of 2 and a number less than 1 is 2a - 1
Given:
Product of 2 and a number less than 1
Find:
Expression
Computation:
Assume;
Another number is "a"
So,
According to question:
2(a) - 1
Product of 2 and a number less than 1 = 2a - 1
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