Answer:
c ≈ -29°
Step-by-step explanation:
To convert Fahrenheit to Celsius using the formula, substitute the degrees for Fahrenheit "f", then isolate Celsius "c".
f = [tex]\frac{9}{5}c[/tex] + 32
-20 = [tex]\frac{9}{5}c[/tex] + 32 Substitute "f" for -20
-20 - 32 = [tex]\frac{9}{5}c[/tex] + 32 - 32 Subtract 32 from both sides
-20 - 32 = [tex]\frac{9}{5}c[/tex] +32-32 cancels out to 0. Simplify left side
-52 = [tex]\frac{9}{5}c[/tex]
-52/[tex]\frac{9}{5}[/tex] = [tex]\frac{9}{5}c/\frac{9}{5}[/tex] Divide by 9/5 on both sides
-52/[tex]\frac{9}{5}[/tex] = c
-52[tex]*\frac{5}{9}[/tex] = c When dividing a fraction, flip the fraction and change to multiplication
[tex]\frac{-52*5}{9}[/tex] = c Multiply by combining into the numerator
[tex]\frac{-260}{9}[/tex] = c Use a calculator
c = -28.8888888889°
c ≈ -29° Round to the nearest degrees
Therefore -20°F is about -29°C.
In ΔDEF,{EF}\cong{DE} EF ≅ DE and m∠E = 104°. Find m∠D.
The 3 inside angles need to equal 180.
Subtract E from 180 to find the sum of the other two angles:
180 - 104 = 76
Now because EF ≅ DE , angle D and F would be the same so divide 76 by 2
Angle D = 38
Three bags of sweets weigh 6 3/4 kg. Two of them have the same weight and the third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Find the weight of each bag.
Final answer:
The weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 41/20 kg.
Explanation:
Let's assume the weight of each bag of equal weight is x kg. According to the question, the third bag is heavier than each of the equal bags by 1 1/5 kg, which can be written as 6/5 kg.
So, the weight of the third bag is x + 6/5 kg.
Now, we can set up an equation based on the given information:
2x + (x + 6/5) = 6 3/4
Simplifying the equation, we get:
3x + 6/5 = 27/4
Now, we can solve for x by multiplying both sides of the equation by 5 to get rid of the fraction:
15x + 6 = 135/4
15x = 135/4 - 6
15x = 135/4 - 24/4
15x = 111/4
Now, divide both sides of the equation by 15 to solve for x:
x = (111/4) / 15 = 111/60 = 37/20 = 1 17/20
Hence, the weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 17/20 + 6/5 = 1 17/20 + 24/20 = 1 41/20 kg.
Two passenger trains traveling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 50 mph. How many seconds after the front cars of the trains meet will their rear cars pass each other?
Answer:
6 seconds
Step-by-step explanation:
1/12 mile * 5280 feet/mile = 440 feet per train
50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second
one train has to travel 440 feet to pass the other train
440 feet * 1/(73 1/3) sec/ft = 6 seconds
The time it will take for the two trains to pass each other's rear car is 6 seconds.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Two passenger trains travelling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 50 mph.
Therefore, the total distance that the two train needs to cover is twice the size of a train.
Distance = 2 × 1/12miles = 1/6 miles
Also, the relative speed of the two trains moving in opposite directions is,
Speed = 50 mph + 50 mph = 100 mph
Now, the time that the two trains need to cover the entire distance is,
Time = (1/6 miles)/ 100mph = 1/600 hours
Converting the time to seconds,
Time = 1/600 hours × 3600 = 6 seconds
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x/5 = -10 What is the value of X
Answer:
[tex]x=-50[/tex]
Step-by-step explanation:
we have
[tex]\frac{x}{5} =-10[/tex]
Solve for x
That means ----> isolate the variable x
Multiply by 5 both sides to remove the fraction
[tex]\frac{x}{5}(5) =-10(5)[/tex]
Simplify
[tex]x=-50[/tex]
Jane had to draw a triangle given the measure of three sides. Which if these measures would give a triangle? A 2cm, 4cm, 8cm. B. 3cm, 4cm, 6cm C 4cm 5cm 10cm D. 5cm 6cm 12cm. Help
Final answer:
To determine if a triangle can be formed given three side lengths, apply the triangle inequality theorem by comparing the sum of any two sides to the length of the remaining side. Option B and option D would give triangles.
Explanation:
To determine if a triangle can be formed given the measures of three sides, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Let's examine each given set of side lengths:
A. 2cm, 4cm, 8cm: In this case, 2cm + 4cm = 6cm, which is less than 8cm. So, a triangle cannot be formed with these side lengths.
B. 3cm, 4cm, 6cm: Here, 3cm + 4cm = 7cm, which is greater than 6cm. The sum of any two sides is always greater than the third side, so a triangle can be formed with these side lengths.
C. 4cm, 5cm, 10cm: In this case, 4cm + 5cm = 9cm, which is less than 10cm. So, a triangle cannot be formed with these side lengths.
D. 5cm, 6cm, 12cm: Here, 5cm + 6cm = 11cm, which is greater than 12cm. The sum of any two sides is always greater than the third side, so a triangle can be formed with these side lengths.
Therefore, option B (3cm, 4cm, 6cm) and option D (5cm, 6cm, 12cm) would give triangles.
jackie can spell 83% of her words correctly. if she attempted 23 words, about how many did she make
Can someone please help me with this? Thank you!
Answer:
[tex]\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]
Step-by-step explanation:
In the first equality
[tex]5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],[/tex]
the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so
[tex]5=\dfrac{2}{5}m\Rightarrow m=5\times \dfrac{5}{2}=\dfrac{25}{2}[/tex]
For the second equality
[tex](H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),[/tex]
if [tex]H=[-2\ 3\ -1][/tex], then this equality represents the assotiative property of matrix addition.
Hence,
[tex]m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]
A fraction that is a terminating decimal between 1.25 and 1.5
Answer:
13/10
Step-by-step explanation:
13/10 = 1.30 is a number between 1.25 and 1.50.
The following table shows the consumer price index(CPI) for a fictional country from 1992-2000.during which of these time periods was there a period deflation?
A.1992-1994
B.1994-1996
C.1996-1998
D.1998-2000
D.1998-2000
Step-by-step explanation:
Deflation describes the drop of prices for goods and services leading to slowing down of economic growth.During economic uncertainty, prices of goods and services can get very low causing the inflation rate to go lower than zero.CPI index shows inflation when it rises over a short period of time.CPI declines to mean deflation where there is a steady decrease in prices of goods and services.
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What is the quotient?
StartFraction 2 y squared minus 6 y minus 20 Over 4 y + 12 EndFraction divided by StartFraction y squared + 5 y + 6 Over 3 y squared + 18 y + 27 EndFraction
The quotient is [tex]\frac{3(y-5)}{2}[/tex]
Explanation:
The expression is [tex]\frac{2 y^{2}-6 y-20}{4 y+12} \div \frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}[/tex]
Now, reciprocal the term [tex]\frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}[/tex] and convert ÷ to ×
[tex]\frac{2 y^{2}-6 y-20}{4 y+12} \times \frac{3 y^{2}+18 y+27}{y^{2}+5 y+6}[/tex]
Taking the common terms out, we get,
[tex]\frac{2\left(y^{2}-3 y-10\right)}{4(y+3)} \times \frac{3\left(y^{2}+6 y+9\right)}{y^{2}+5 y+6}[/tex]
Factorizing each numerator and denominator, we get,
[tex]\frac{2(y-5)(y+2)}{4(y+3)} \times \frac{3(y+3)(y+3)}{(y+3)(y+2)}[/tex]
Multiplying the terms, we have,
[tex]\frac{6(y-5)(y+2)(y+3)^{2}}{4(y+3)^{2}(y+2)}[/tex]
Cancelling the common factors, we get,
[tex]\frac{3(y-5)}{2}[/tex]
Thus, the quotient is [tex]\frac{3(y-5)}{2}[/tex]
Answer:
B
Step-by-step explanation:
On edge 2021
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −8 to x = −2.
A) −1
B) −3
C) 1
D) 3
Answer:
c
Step-by-step explanation:
c
Complete the statement using always, sometimes, or never.
A quadrilateral is
a trapezoid.
a.) always
b.) sometimes
c.) never
it had to be b cuz now all quadrilateral have straight sides
How do you write the difference of a number and eight, divided by ten
Answer:
(x-8)/10
Step-by-step explanation:
-------
(X - 8)/10 or (8 -X)/10
The unknown number can be given as X
The difference between the number and 8 can be given as 8 -X or X - 8
The dividing it by 10 will give (x-8)/10 or (8-x)/10 depending on the value of the unknown number X
Ernise evaluated the expression 10(3 + 5) like this:
Step 1: 10.3 + 10.5
Step 2: 30 + 50
Step 3: 80
Which mathematical property was she using?
Answer:
distributive property
Dist. can be identified by x(y+z)
Solve for x. 11x+4< 15 OR 12x–7>-25
which expressions are equivalent?
Answer:
C none of the above
Step-by-step explanation:
x + z + y
is not going to be equal to x + y - z
Its like saying 10 + 5 - 4 = 11
To 10 + 5 + 4, they are not going to be equal
Answer:
C none of the above
Step-by-step explanation:
What is it equivalent expression for 3(x+9)-2
========================================
Work Shown:
3(x+9)-2
3*x+3*9 - 2 ..... distribute
3x+27-2 .... multiply
3x+25 .... combine like terms
Answer:3x+25
Step-by-step explanation:
Evaluate a + (-b) where a = 4 and b =2
Answer:
The answer is 2
Step-by-step explanation:
4 + (-2) = 2
Answer:
2
Step-by-step explanation:
Given the expression : a + (-b)
where a = 4 and b = 2
Therefore: a + (-b) = 4 + (-2)
=4 - 2
= 2
The world record for the 100 meter sprint is 9.77 seconds. How long would it take to run 1 meter at the speed
Answer:
Step-by-step explanation:
Time taken = 9.77/100 = 0.0977 seconds
Here are the heights (in inches) of 12 students in a seminar.
69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75
What is the percentage of these students who are shorter than 73 inches?
Answer: 75%
Step-by-step explanation:
Height given :
69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75
The total number of height given = 12
The height less than 73 are 69 , 62, 67 ,63 , 65 , 71 , 70 , 66 , 59
The total number of heights less than 73 = 9
Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100
= 9/12 x 100
= 75%
About 75% of the students are shorter than 73 inches. This was determined by counting the number of students shorter than 73 inches (9 students) and dividing by the total number of students (12 students), then multiplying by 100%
Explanation:To calculate the percentage of students shorter than 73 inches, you first need to count how many students are shorter than 73 inches. From the given data, the heights of the students shorter than 73 inches are 69, 62, 67, 63, 65, 71, 70, 66, and 59. Thus, there are 9 students out of 12 who are shorter than 73 inches.
Now, to get the percentage, you divide the number of shorter students by the total number of students, and then multiply the result by 100. This is how it looks: (9/12)*100% = 75%. Thus, 75% of these students are shorter than 73 inches.
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On average shawnte drinks 1/2 of a 6-ounce glass of water in 2/3 hour how much watee does she drink in a hour
she drinks 9/2 ounces of water in 1 hour
Step-by-step explanation:
On average, the person drinks 1/2 of a 6-ounce glass of water in 2/3 hour.
First of all, we have to rewrite the amount of water in a single fraction: we have
[tex]\frac{1}{2}\cdot 6 = \frac{6}{2}=3[/tex]
This means that the person drinks 3 ounces of water every 2/3 hours.
In order to find how much water she drinks in one hour, we use the following proportion:
[tex]\frac{3}{2/3}=\frac{x}{1}[/tex]
where
x is the amount of water she drinks in one hour.
Solving the equation for x,
[tex]x=\frac{3\cdot 1}{2/3}=\frac{3\cdot 1 \cdot 3}{2}=\frac{9}{2}[/tex]
Therefore, she drinks 9/2 ounces of water in 1 hour.
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Anna wants to buy a house at $67,000. She will need at down payment of 15%. What is the down payment amount
Answer:
67000*.15=10,050
Step-by-step explanation:
The required down payment would be the amount of $10,050.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Anna wants to buy a house for $67,000.
She will need a down payment of 15%.
We have to determine the evaluation of 15% of $67,000.
⇒ 15% of 67,000
15% is expressed as 15/100 in fractional form
⇒ (15/100)(67,000)
15/100 is expressed as 0.15 in decimal form
⇒ (0.15)(67,000)
Apply the multiplication operation, and we get
⇒ 10,050
Therefore, the down payment would be $10,050.
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You work as a tailor. You are provided with 5 3/4 yards of cloth for making curtains. You use 4 1/4 yards of cloth for that purpose.
How many yards of cloth remain?
Final answer:
After using 4 1/4 yards out of 5 3/4 yards of cloth to make curtains, 1 1/2 yards of cloth remain.
Explanation:
You are provided with 5 3/4 yards of cloth and you use 4 1/4 yards for making curtains. To find out how much cloth remains, you need to subtract the amount used from the total amount provided. You perform the subtraction by converting the mixed numbers to improper fractions or by subtracting the whole numbers and fractions separately.
First, subtract whole numbers:
5 yards - 4 yards = 1 yardNext, subtract the fractions:
3/4 yard - 1/4 yard = 2/4 yard, which simplifies to 1/2 yard.Combine the whole number and the fraction for the final answer:
1 yard + 1/2 yard = 1 1/2 yards of cloth remain.on friday,718 peoole went to school play.on saturday,822 people went.about how many oeople saw the play altogether
Answer:
1540
Step-by-step explanation:
Add 718 and 822! Thanks
To find out how many people saw the play altogether, add the number of people who went on Friday and Saturday. The total number of people who saw the play is 1540.
To find out how many people saw the play altogether, we need to add the number of people who went on Friday and the number of people who went on Saturday.
On Friday, 718 people went to the school play. On Saturday, 822 people went.
To find the total number of people who saw the play, we add 718 and 822:
Total number of people = 718 + 822 = 1540
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PLEASEE I’m failing math with a 57 I need help
4. take 110-80/4-2, this gives you 30/2, which is then 15. Therefore it is 15 dollars per hour
Rewrite the equation 2x + 3y = 6 in slope-intercept form.
y = -2 x + 6
y = - (fraction)x + 2
y = 2 x + 6
3 y = -2 x + 6
Answer:
y = - [tex]\frac{2}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 2x + 3y = 6 into this form
Subtract 2x from both sides
3y = - 2x + 6 ( divide all 3 terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope- intercept form
What percent of 18 is 24?
Answer:
133%
Step-by-step explanation:
24/18=4/3=1.33...=133%
Answer:
75%
Step-by-step explanation:
because it = 18/24 or 75%
How to write 21 less than n equal 31 in a equation promblem
Answer:
n-21=31
Step-by-step explanation:
Just read it carefully, it is worded weirdly, but just think about it.
Answer:
52
Step-by-step explanation:
n-21=31
n=31+21
n=52
how many soulutions does the system of equations have x-3y=15. and 3x-9y=45
Answer:
Infinitely many solutionsStep-by-step explanation:
[tex]\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}[/tex]
[tex]\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}[/tex]
helpppppp pleaseeee!!!!! like the north pole the south pole receives little solar radiation during the winter. unlike the north pole, however, the south pole does not send outbreaks as far as the subtropics. Why? (Hint: you may want to study a world map to answer this question.)
Step-by-step explanation:
firstly there is hole in the ozone
secondly i believe it is because of the axis of the earth and that the raidiation to coming to the equator not the poles