Answer:
50 C = 122 F
Step-by-step explanation:
50°C × 9/5 +32
Answer:
50°C = 122°F.
Step-by-step explanation:
Given : The formula to convert F° to C° is [tex]C = \frac{5}{9}( f - 32)[/tex].
To find : Convert 50°C to °F
Solution : We have given
[tex]C = \frac{5}{9}( f - 32)[/tex].
On multiplying by 9 both sides.
[tex]9 C = 5( f - 32)[/tex].
On dividing both sides by 5
[tex]\frac{9C}{5} =( f - 32)[/tex].
On adding both sides by 32
[tex]\frac{9C}{5}+ 32 = f[/tex].
Then plug C = 50°
[tex]\frac{9 * 50 }{5}+ 32 = f[/tex].
[tex]\frac{450}{5}+ 32 = f[/tex].
[tex] 90+ 32 = f[/tex].
[tex] 122°= f[/tex].
Therefore, 50°C = 122°F.
find the exact value of y
Look at the picture.
Use the Pythagorean theorem to solve h:
[tex]h^2+5^2=7^2[/tex]
[tex]h^2+25=49[/tex] subtract 25 from both sides
[tex]h^2=24\to h=\sqrt{24}[/tex]
ΔADC and ΔCDB are similar. Therefore the sides are in proportion:
[tex]\dfrac{h}{5}=\dfrac{x}{h}[/tex] cross multiply
[tex]5x=h^2[/tex] put the value of h
[tex]5x=(\sqrt{24})^2[/tex]
[tex]5x=24[/tex] divide both sides by 5
[tex]x=4.8[/tex]
y = 5 + x → y = 5 + 4.8 = 9.8
Answer: y = 9.8Or other method. ΔADC and ΔACB are similar. Therefore the sides are in proportion:
[tex]\dfrac{y}{7}=\dfrac{7}{5}[/tex] multiply both sides by 7
[tex]y=\dfrac{49}{5}\\\\\boxed{y=9.8}[/tex]
Can somebody please explain how to do this please? (5 points)
Look at the picture.
∠2 and ∠3 are Corresponding Angles. j || k, thereofre m∠2 = m∠3.
∠1 and ∠3 are supplementary angles, therefore m∠1 + m∠3 = 108°.
m∠1 = 10x + 4, m∠2 = m∠3 = 4x - 6. Therefore we have the equation:
(10x + 4) + (4x - 6) = 180
(10x + 4x) + (4 - 6) = 180
14x - 2 = 180 add 2 to both sides
14x = 182 divide both sides by 14
x = 13
10x + 4 = 10(13) + 4 = 130 + 4 = 134
4x - 6 = 4(13) - 6 = 52 - 6 = 46
Answer x = 13, m∠1 = 134°, m∠2 = 46°HW 7.4/7.5 backside
Answer:
9. x=10
10. x=8
11. x=9/4=2.25
12. x=28
13. x=14
14. x=35
15. x=66
16. x=77/6
Step-by-step explanation:
9. x/20=18/36
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 18:
x/20=(18/18) / (36/18)
x/20=1/2
Solving for x: Multiplying both sides of the equation by 20:
20(x/20)=20(1/2)
x=10
10. x/12=6/9
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 3:
x/12=(6/3) / (9/3)
x/12=2/3
Solving for x: Multiplying both sides of the equation by 12:
12(x/12)=12(2/3)
x=4(2)
x=8
11. x/3=3/4
Solving for x: Multiplying both sides of the equation by 3:
3(x/3)=3(3/4)
x=9/4=2.25
12. x/42=30/45
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 15:
x/42=(30/15) / (45/15)
x/42=2/3
Solving for x: Multiplying both sides of the equation by 42:
42(x/42)=42(2/3)
x=14(2)
x=28
13. x/12=14/12
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 2:
x/12=(14/2) / (12/2)
x/12=7/6
Solving for x: Multiplying both sides of the equation by 12:
12(x/12)=12(7/6)
x=2(7)
x=14
14. x/25=28/20
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 4:
x/25=(28/4) / (20/4)
x/25=7/5
Solving for x: Multiplying both sides of the equation by 25:
25(x/25)=25(7/5)
x=5(7)
x=35
15. x/110=(160-100)/100
x/110=60/100
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 20:
x/110=(60/20) / (100/20)
x/110=3/5
Solving for x: Multiplying both sides of the equation by 110:
110(x/110)=110(3/5)
x=22(3)
x=66
16. x/11=(x+7)/17
Solving for x: Cross Multiplication:
17x=11(x+7)
Eliminating the parentheses on the right side of the equation:
17x=11(x)+11(7)
Multiplying:
17x=11x+77
Grouping the x's on the left side of the equation: Subtracting 11x both sides of the equation:
17x-11x=11x+77-11x
Subtracting:
6x=77
Dividing both sides of the equation by 6:
6x/6=77/6
Dividing:
x=77/6
how do I figure out 221 ÷0.0001
Answer:
221.0001
Step-by-step explanation:
Attempt to look at the number of 0s behind the decimal point, which you add those 0s and the digit number (1) into place
221
0.0001
221.0001
Calculate the average rate of change of f(x) = x2 4 - 5 for 3 ≤ x ≤ 5.
Answer:
8
Step-by-step explanation:
Substitute the equation and values into the average rate of change formula.
Please help me
Which function has the greatest value when x is equal to 0? A. x y 3 3 4 6 5 9 B. y = 4x – 7 C. 12x + 6y = 30 D. A linear function that goes through point 1, negative 1 and point 0, 4
Answer:
Add your entire question here to receive help from users and Brainly teachers. Pictures are great when things are difficult to type.
Step-by-step explanation:
Type your complete question or upload a picture to receive help on those tough questions. Your question is difficult to read or decipher. Try adding a picture next time to make it clearer to understand.
The double number line shows that 4 bottles of water cost 10 dollars at a music festival based on the ratio shown in the double number line how much does 3 bottles of water cos
Answer:$7.50
Step-by-step explanation: make 4 boxes on a paper and put two lines in each box and you see that it is 8 in the boxes all to heather so that equals $8.00 so you can’t put a dollar in each box because if you do it will equal twelve dollars and you have to make ten dollars so you put $0.50 in each box so in each box it will be $2.50 in each box so you have to add $2.50 for times so it equals $10.00 so I added it it does add up to ten dollars so to see how much 3 bottles of water count you have to add up $2.50 3 timer and it equal $7.50
3 bottles of water costs $ 7.50
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
How to know how much does 3 bottles of water cost?According to the problem,
The double number line shows that 4 bottles of water cost $ 10 By using unitary method,4 bottles of water costs $ 10
1 bottle of water costs $ (10 / 4) = $ 2.50
3 bottles of water costs $ (2.50 x 3) = $ 7.50
∴Cost of 3 bottles is $7.50
Find more details about "Unitary method" here: https://brainly.com/question/24587372
#SPJ2
What is the equation of the line that passes through (-2, 2) and (1, -4)? y = 2x - 2,
y = -2x - 4,
y = -2x - 2,
y = 2x + 4,
The point-slope form of line:
[tex]y-y_1=m(x-x_1)[/tex]
The fomula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinates of the points:
[tex]m=\dfrac{-4-2}{1-(-2)}=\dfrac{-6}{1+2}=\dfrac{-6}{3}=-2[/tex]
[tex]y-(-4)=-2(x-1)[/tex] use distributive property
[tex]y+4=-2x+2[/tex] subtract 4 from both sides
[tex]\boxed{y=-2x-2}[/tex]
Answer:
y = -2x-2
Step-by-step explanation:
The line passes through the points (-2, 2) and (1, -4).
The slope of the line is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-4-2}{1+2}\\\\m=\frac{-6}{3}\\\\m=-2[/tex]
The slope intercept form of a line is given by
y = mx +b, where m is the slope and b is the y-intercept.
We have, m = -2. Hence, the equation is
y = -2x + b
Now, use the point (-2,2) to find b
2 = -2(-2) + b
2 = 4 +b
b = -2
Hence, the equation of the line is y = -2x-2
Third option is correct.
Whitestone College has a student population of approximately 4 x 10 students. Around 40,000 students attend Carr University. How many times is the number of students at Carr University as the number of students at Whitestone College? 3
Answer:
Carr University has 1000 times more students than Whitestone College
Step-by-step explanation:
Whitestone College has a student population of 4 x 10 students
Carr University has a student population of 40,000 students.
To find out how big the number of students at Carr is compared to Whitestone College students.
Students of Carr University / Students of Whitestone.
40,000 / 4 x 10 = 1000
Carr University has 1000 times more students than Whitestone College
Which subtraction expression has the difference 1 + 4i? (–2 + 6i) – (1 – 2i) (–2 + 6i) – (–1 – 2i) (3 + 5i) – (2 – i) (3 + 5i) – (2 + i)
Answer:
(3 + 5i) – (2 + i)
Step-by-step explanation:
(–2 + 6i) – (1 – 2i)
The real parts -2-1 = -3
The imaginary parts 6i--2i = 6i+2i = 8i
(–2 + 6i) – (–1 – 2i)
The real parts -2 +1 = -1
The imaginary parts 6i --2i = 6i+2i =8i
(3 + 5i) – (2 – i)
The real parts 3-2 =1
The imaginary parts = 5i --i = 5i+i = 6i
(3 + 5i) – (2 + i)
The real parts 3-2 =1
The imaginary parts 5i -i = 4i
Answer:
d.(3 + 5i) – (2 + i)
Step-by-step explanation:
Sally scores 381 points in a game ty scores 262 points how many more points dose sally score than ty
Answer:
119
Step-by-step explanation:
381-262
write in equation in slope intercept form for the line perpendicular to y=-3x+9 that passes through the line 9,9
Answer:
y = 3x - 18
Step-by-step explanation:
The given line, y = -3x + 9, has slope -3. Any new line perpendicular to this has slope +3/1, or just 3.
Start with the general slope-intercept form of the equation of a straight line:
y = mx + b. Now substitute 9 for y, 9 for x and 3 for m:
9 = 3(9) + b. Then b = -18, and the desired equation is y = 3x - 18.
The equation of the line perpendicular to y = -3x + 9 that passes through the point (9,9) is y = ([tex]\frac{1}{3}[/tex])x + 6.
The question is asking to find the equation of a line in slope-intercept form that is perpendicular to the given line y = -3x + 9 and passes through the point (9,9). To find the equation of a line that is perpendicular to the given line, we need to determine the slope of the new line. The slope of any line perpendicular to a line with a slope of m is [tex]-\frac{1}{m}[/tex]. Since the given line has a slope of -3, the slope of the perpendicular line will be [tex]\frac{1}{3}[/tex]. Now using the point-slope form of a line, which is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope, we can write the equation of the new line through the point (9,9) as y - 9 = ([tex]\frac{1}{3}[/tex])(x - 9). Simplifying this equation gives us y = ([tex]\frac{1}{3}[/tex])x + 6, which is in slope-intercept form y = mx + b where m is the slope and b is the y-intercept of the line.
a teacher plans for groups of her students to eat lunch at tables. she has 34 students in her class. each group will have 7 students. how many tables will she need? explain how to use the quotient and remainder to answer the question.
The sum of two numbers is 59 and the difference is 3. What are the numbers?
Answer:
31 and 28
Step-by-step explanation:
Let x represent the first number.
Let y represent the second number.
x + y = 59
x - y = 3
Use substitution method to solve.
x = y + 3
y + 3 + y = 59
2y + 3 = 59
Subtract both sides by 3.
2y = 56
Divide both sides by 2.
y = 28
Let's find the second number.
59 - 28 = 31
Check
31 -28 = 3
Answer The two numbers are 28 and 31.
The numbers are 31 and 28.
To find the two numbers where the sum is 59 and the difference is 3, we can set up two equations based on the information given.
Let the two numbers be x and y, where x > y. The equations would be:
x + y = 59 (Equation for the sum)x - y = 3 (Equation for the difference)Adding these two equations eliminates y, giving us:
2x = 62
Divide both sides by 2 to find x:
x = 31
Now substitute x back into one of the original equations to find y:
31 + y = 59
Subtract 31 from both sides:
y = 59 - 31
y = 28
Therefore, the two numbers are 31 and 28.
1/2 divided by 3/4 equals
Answer:
2/3
Step-by-step explanation:
You flip the second fraction and multiply the fractions.
When we divide (1/2) by (3/4) we have 2/3.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, The fraction (1/2) is divided by another fraction (3/4).
Now, we know (a/b)/(c/d) = (a/b)×(d/c).
Therefore, (1/2) is divided by (3/4) is,
= (1/2)×(4/3).
= 4/6.
= 2/3.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ5
I need to know what burger to eat at ihop!
Please help!
The points (-3,4) and (5,-2) are on the graph of function f. If function g is the inverse of function f, what pair of points are on function g?
The pair of points on the inverse function g, given that (-3,4) and (5,-2) are on function f, are (4,-3) and (-2,5), obtained by swapping the x and y coordinates of the original points.
Explanation:To determine which pair of points are on function g, which is the inverse of function f, we swap the x and y coordinates of the given points on function f. The points (-3,4) and (5,-2) are on function f, so the corresponding points on the inverse function g would be (4,-3) and (-2,5), respectively. In the context of functions and their inverses, the dependence of y on x in one function becomes the dependence of x on y in the inverse function. This flipping of coordinates is an essential property of inverse functions and can be visualized by reflecting across the line y = x on a graph.
Solve: E=IR solve for I
A student recieved the following test grades in math 76,92,55,89,97,83.what was the students average?
Answer:
Her average was 86%
Answer:
86%
Step-by-step explanation:
A colony of bacterial doubled every week. If the colony began with 40 bacteria, how many bacteria are present after 4 weeks?
Answer:
640 bacteria.
Step-by-step explanation:
Make a chart.
Bacteria Weeks
40 0
80 1
160 2
320 3
640 4
It starts off with 40 bacteria, which means no weeks have passed so far. That is why 40 pairs with 0 rather than 1.
Solve for x in the equation x^2 + 10x + 12 = 36. x = –12 or x = 2 x = –11 or x = 1 x = –2 or x = 12 x = –1 or x = 11
Answer: x=2 or x=-12
Step-by-step explanation: Subtract 12 to both sides of the equation: x² + 10x = 24. Subtract 24 to both sides of the equation: x² + 10x -24. Next, find out which two numbers multiply to -24 and add up to 10: 12 and -2.
X² + 12x + -2x -24.
X(x - 2) and 12(x - 2)
Solve for x: (x+12) and (x-2) = 0
X = -12 or x=2
Answer: The correct option is
(A) x = -12 or x = 2.
Step-by-step explanation: We are given to solve the following quadratic equation for x :
[tex]x^2+10x+12=36~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
From equation (i), we have
[tex]x^2+10x+12=36\\\\\Rightarrow x^2+10x+12-36=0\\\\\Rightarrow x^2+10x-24=0\\\\\Rightarrow x^2+12x-2x-24=0~~~~~~~[\textup{the sum of 12 and -2 is 10 and product is -24}]\\\\\Rightarrow x(x+12)-2(x+12)=0\\\\\Rightarrow (x+12)(x-2)=0\\\\\Rightarrow x+12=0,~~~~x-2=0\\\\\Rightarrow x=-12,2.[/tex]
Thus, the required solution of the given equation is x = -12 or x = 2.
Option (A) is CORRECT.
what is the equation of this line is standard form (-4,-1) and (1/2,3)
A:8x-9y=-23
B:9x-8y=23
C:8x-9y=23
D:8x-7y=-25
Answer:
A. 8x - 9y = -23
Step-by-step explanation:
(-4,-1) and (1/2,3)
We write the equation in slope intercept form y=mx+b
then we convert it into standard form
m is the slope and b is the y intercept
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
(-4,-1) and (1/2,3)
[tex]slope = \frac{3-(-1)}{\frac{1}{2}-(-4)}[/tex]
[tex]slope = \frac{4}{\frac{1}{2}+4}[/tex]
[tex]slope = \frac{4}{\frac{9}{2}}[/tex]
[tex]slope = 4*\frac{2}{9}[/tex]
[tex]slope m =\frac{8}{9}[/tex]
To find out b we plug in (-4,-1) and slope m value in y = mx+b
-1 = (8/9) (-4) + b
[tex]-1 = -\frac{32}{9} +b[/tex]
Add 32/9 on both sides
[tex]-1+\frac{32}{9} = b[/tex]
Take common denominator 9
[tex]\frac{-9+32}{9} = b[/tex]
[tex]\frac{23}{9} = b[/tex]
So equation y = mx + b becomes
[tex]y= \frac{8x}{9} + \frac{23}{9}[/tex]
Standard form is Ax + By = C
To get standard form , multiply the whole equation by 9
9y = 8x + 23
Subtract 8x on both sides
-8x + 9y = 23
Multiply the whole equation by -1
8x - 9y = -23
Do I add or multiply
multiply. your answer is 11894.217.
this could be a cross multiply problem, so [tex]\frac{25.7}{x} =\frac{1}{462.81} =11894.217[/tex]
Which showed how to solve the equation 3/4x=-6 for x in one step
Multiply by the inverse of 3/4 which is 4/3. -6 times 4/3 (or 1 1/3) which is -8 because 1/3 of -6 is -2 and -2 plus -6 is -8.
x=-8
Answer:
Multiply by 4/3
Step-by-step explanation:
To solve for x, we need to isolate x.
We can isolate x in one step by multiplying by the reciprocal of 3/4, which is 4/3
3/4x = -6
Multiplying by 4/3
4/3* 3/4 x = -6 * 4/3
x = -8
in a sale, normal prices reduced by 10% nathalie bought a pair of shoes in the sale for 54£ what was the original price of shoe
Answer:
60 pounds
-hope this helps
Answer:
£60
Step-by-step explanation:
100% represents the original price of the shoes
then (100 - 10) = 90% of the original price
Divide the cost by 90% to find 1% then multiply by 100 for the original price
original price = [tex]\frac{54}{90}[/tex] × 100 = £60
the temperature outside is -5f name the temperature that would make the sum of the two temperatures 0f
Answer:
5f
Step-by-step explanation:
-5+x=0
Add 5 to both sides of the equation.
x=5
Answer:
We need to add 5F to make the sum 0
Step-by-step explanation:
-5 + temperature = 0
Add 5 to each side
-5 + 5 + temperature=0 + 5
temperature = 5
We need to add 5F to make the sum 0
Help me with this porportional relationship please:
The table shows a proportional relationship.
x y
0 0
2 9
4 18
6 27
Complete the equation that represents the table.
Enter your answer as a decimal in the box.
y = [] x
Answer:
y = 4.5 x
Step-by-step explanation:
If this is a proportional relationship, we can find the slope
m = (y2-y1)/(x2-x1)
m = (27-0)/(6-0)
m = 27/6
m=9/2
The slope is 9/2
The y intercept, where it crosses the y axis is 0
Using the slope intercept form of the equation y=mx+b
y = 9/2 x+0
y =9/2x
It wants the decimal form
y = 4.5 x
Evaluate the following expression 24/3+7•2-15/5+6•2
Answer:
31
Step-by-step explanation:
(24/3)+(7x2)-(15/5)+(6*2)
8+(7x2)-(15/5)+(6*2)
8+14-(15/5)+(6*2)
8+14-3+(6*2)
8+14-3+12
22-3+12
19+12
31
Sorry if I did my math wrong :)
What is the LCD? 7/x^2 +4x +4, 5/4 -x^2
Answer:
x^3 +2x^2 -4x -8
Step-by-step explanation:
The factors of x^2 +4x +4 are (x +2)^2.
The factors of 4 -x^2 are -1(x -2)(x +2).
The least common denominator is the least common multiple of these, excluding the -1 multiplier. That multiple is ...
... (x +2)^2 × (x -2) = x^3 +2x^2 -4x -8
_____
Comment on the minus sign
When the given fractions are expressed using the denominator above, the second one will need to have its numerator sign adjusted. The two fractions are ...
7(x -2)/(x^3 +2x^2 -4x -8)-5(x +2)/(x^3 +2x^2 -4x -8)The LCD or Least Common Denominator for the fractions 7/(x^2 + 4x + 4) and 5/(4 - x^2) is the product of the distinct denominators after factoring, which is (x+2)^2(4 - x^2), given they have no common factors.
The acronym LCD refers to the Least Common Denominator, which in mathematics, is the least common multiple of the denominators of a set of fractions. It is used to find a common denominator so that the fractions can be combined or compared. For the fractions 7/x^2 + 4x + 4 and 5/4 - x^2, the LCD would be the product of the distinct denominators assuming they cannot be factored into common factors. In this case, assuming x^2 + 4x + 4 cannot be further factored (it is a perfect square: (x+2)^2), the denominators are x^2 + 4x + 4 and 4 - x^2 (since we consider x^2 to have a negative coefficient here). Consequently, if there are no common factors, the LCD is (x^2 + 4x + 4)(4 - x^2) or (x+2)^2(4 - x^2).
4÷25times4÷100times4÷4
Answer:
0.0064 is your answer
Step-by-step explanation:
because 4÷25 = 0.16 and 4÷100=0.04 and of course 4÷4=1
When the 0.16 and 0.04 that gets 0.0064