Answer:
y=-4x-8
Step-by-step explanation:
use the equation y-y1=m(x-x1) and solve for y
Answer:
y=-4x-3
Step-by-step explanation:
For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:
(y-5)=-4(x+2)
y-5=-4x-8
y=-4x-3
hope this helps! :)
. An average car uses 1 ounces of
gasoline for one minute of sitting still
with the engine on. If a car waits at a
traffic light for 2 minutes, how much
gasoline will it use?
ANSWER:
2 ounces.
EXPLANATION:
it uses 1 once of gasoline every time it is on not driving and it is at a traffic light for 2 minutes then 1 + 1 = 2.
1 ounce + 1 ounce = 2 ounces of gasoline it uses.
A garbage bin can hold 50 gallons of waste. Complete the table to show what percent of the bin would be filled for different amounts of waste. Will get brainliest if answers first and gets it right.
The percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a garbage bin can hold 50 gallons of waste.
Waste (gal) = 5
Percentage = 5/50 ×100
= 10%
Waste (gal) = 30
Percentage = 30/50 ×100
= 60%
Waste (gal) = 45
Percentage = 45/50 ×100
= 90%
Therefore, the percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
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F is directly proportional to a.
If F = 42 when a 7 find
a when F = 18
Answer:
a=3
Step-by-step explanation:
The formula for direct proportion is
f = ka
Let f= 42 and a = 7
42 = k*7
Divide each side by 7
42/7 = k7/7
6 =k
f = 6a
Let f = 18
18 = 6a
Divide each side by 6
18/6 = 6a/6
3 =a
Answer:
a = 3
Step-by-step explanation:
Given that F is directly proportional to a, then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 42 when a = 7, thus
42 = 7k ( divide both sides by 7 )
6 = k
F = 6a ← equation of proportion
When F = 18, then
18 = 6a ( divide both sides by 6 )
3 = a
Solve: sin(11pi/2 +x) =-1/2 for [pi, 2pi]
Answer:
Step-by-step explanation:
Given the expression sin(11pi/2 +x) =-1/2
Take the arcsin of both sides
sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)
11pi/2 + x = -30
x = -pi/6 - 11pi/2
Find the LCM
x = (-pi-33pi)/6
x = -34pi/6
x = -17pi/3
Since x is negative and sin is negative in the fourth quadrant
x = - 17pi/2
x = -1530⁰+1440⁰ (scaling down the angle)
x = -90
x = 360 - 90 (fourth quadrant)
x = 270⁰
x = 270pi/180
x = 27pi/18
x = 3pi/2
Hence x the solution of x is 3pi/2
Answer:
B, 5pi/3
Step-by-step explanation:
edge 2020
Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =
Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
Given that
a
= 24° and
b
= 70°.
Work out
x
, explaining each stage of your working in the comment box.
Answer: 32 degrees
Step-by-step explanation:
On Wednesday, a local hamburger shop sold a combined total of 339 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
Answer:
113
Step-by-step explanation:
c/b(cheeseburger)-2x
h/b(hamburgers)-x
2x+x=339
3x=339(divide both sides by 3)
x=113
what is the slope-intercept form equation that represents the line?
Answer:
y=-1/2x+4
Step-by-step explanation:
How do I divide fraction or mixed numbers.
AnTo divide mixed numbers Change each mixed number to an improper fraction.
Multiply by the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms.
Check to be sure the answer makes sense.
Step-by-step explanation:
Answer:
If u have mixed fractions, like [tex]3\frac{1}{2}[/tex], you will have to change it to improper fraction([tex]\frac{7}{2}[/tex]) to divide with ease.
let's give an example of how to divide fractions.
1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Now, you will invert the numbers on the right side, and that will cause the division sign to change into multiplication sign.
[tex]\frac{2}{3} / \frac{1}{3} \\\\\frac{2}{3} X \frac{3}{1}\\\\2[/tex]
2. let's have another example:
[tex]2\frac{1}{3} / 3\frac{1}{2}\\\\\frac{7}{3} / \frac{7}{2} \\\\\frac{7}{3} X \frac{2}{7} \\\\\frac{2}{3}[/tex]
4 people can dig a trench in 3 hours How long would it take 9 people give your answer in minutes
Answer:
1 hour and 20 minutes
Step-by-step explanation:
If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.
Answer:
it takes 80 minutes
Step-by-step explanation:
Hope this helps
A cone has a radius of 5.1 inches and a height of 5 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth
Answer:
136.19
Step-by-step explanation:
V=πr2h
3=π·5.12·5
3≈136.18804in³
Solve angle X to 1 dp
Answer:
x ≈ 57.8°
Step-by-step explanation:
using the Sine rule in the triangle
[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )
8 × sinx = 11 × sin38° ( divide both sides by 8 )
sinx = [tex]\frac{11sin38}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )
Please help me.
Which statement is true regarding these data sets?
A. The range of the ages of the members of the Debate Team is greater than the range of the ages of the
members of the Chess Club.
B. The number of members in the Chess Club and the number of members in the Debate Team is the
same.
C. The majority of the members in each club are between 15 and 17 years old.
D. About 50% of the members of each club are 16 or older.
A. The range of the ages of the members of the Debate Team is greater than the range of the ages of the
members of the Chess Club.
A 6 inch by 10 inch rectangle is dilated by a factor of 3. What is the area of the dilated rectangle?
Answer:1 is 60 and 2 is a k=2
Step-by-step explanation: correct me if I’m wrong
What is the quotient of 8,688 ÷ 24?
Answer:
362
Step-by-step explanation:
A concession stand at a baseball game sells 3 apples for $2.00. HHow can you find the cost for 10 Apples?
A. Solve the proportion 3/2 = x/10
B. Solve the proportion 2/3 = 10/x
C. Solve the proportion 3/2 = 10/x
D. Solve the proportion 3/x = 2/10
Answer:
c. 3/2=10/x
Step-by-step explanation:
in a proportion, you want the same category of values in the same position. For example, the number of apples goes on top in each of the fractions, and the cost goes on the bottom. then solve for x.
Solve this equation. Enter your answer in the box.
–4(x – 26) = –200
Answer:
x = 76
Step-by-step explanation:
Distributive property:-4(x-26) = -4x + 104
Subtract 104 from both sides.-4x + 104 = -200
-4x = -304
Divide -4 from both sides.x = 76
The solution of the equation is x= 76.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given, equation –4(x – 26) = –200
–4(x – 26) = –200
-4x + 104 = -200
-4x = -200-104
-4x = -304
x = 304/4
x= 76
Therefore, the solution of the equation is x= 76.
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Please help asap! I on;y have 10 mins left!!!
Answer:
41 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
<3 + <4 = 90
<3 + 49 = 90
Subtract 49 from each side
<3 = 90-49
<3 =41
Is 3/4 less then or greater than 1 whole
Answer:
less
Step-by-step explanation:
3/4 = 0.75
1/4 = 0.25
0.25*3 = 0.75
or
3/4 = 75%
1/4 = 25%
0.25*3 = 75%
Answer:
Less
Step-by-step explanation:
Fractions are proportions written using division. They are not whole numbers.
Proper Fractions
3/4 is less than 1 whole because it is a proper fraction. A proper fraction is a fraction that has a numerator that is smaller than the denominator. Remember that the numerator is the top number and the denominator is the bottom number. All proper fractions are less than 1. It is important to understand proper fractions in this question because improper fractions and mixed fractions are greater than 1.
This specific question asks about 3/4, which is 1/4 less than 1 whole.
Deena has 2 pairs of white socks 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Each
pair of socks is folded together. If she pulls a pair of socks out of her drawer in the morning without looking, what is the
probability that she will choose a pair of white socks?
Answer:
3/8=0.375
Step-by-step explanation:
There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.
find the outer perimeter of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi.
Answer:
19.42 ft
Step-by-step explanation:
Triangular part = 5+5 =10
Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42
Perimeter = 10+9.42 = 19.42ft
For semicircular
Outer perimeter
πr3.14(3)9.42Now
Total perimeter
5+5+9.4218.42ftASAP please answer correctly if you do I will mark brainliest. Only DO NUMBER 10 please so you only have 1 question to do.
X=2
Step-by-step explanation:
4x=6
-4x.-4
x=2 so your answer Is x=2
Answer:
x = 3
Step-by-step explanation:
perimater
3 + 3 + 2x + 2x
6 + 4x
area
3(2x)
6x
substitute:
6x = 6 + 4x
-4x -4x
2x = 6
x = 3
Below.Does it matter the order in which the store applies the discount? In other words, is 70% off and then 20% off equal to 20% off and then 70% off? Give your answer and an explanation below. Make sure to show calculations to support your answer
Answer:
No it does not matter in which order the store applies the discount.
Step-by-step explanation:
Suppose we have the cost price = $ 100
Then 70 % off means 70% of 100= 70 $ discount
And the remaining $ 30 is again given a discount of 20 % . That would be 20 % of $ 30= $ 6 discount giving the discounted price of $ 24.
Now if we apply the discount of 20 % first that would give $ 80 discounted price and again applying 70 % to $ 80 would give $ 56 discount and a discounted price of $ 80 - $ 56= $ 24
Hence the order in which the discount is applied does not matter.
This diagram shows a park's walking path in the shaded area. The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters. What is the area of this walking path? Use 3.14 for π. Enter your answer as a decimal in the box. m²
Answer:
The answer is 24.78 m^2
Step-by-step explanation:
I did the test
The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for circumference of circle is 2πr
The area of circle is πr²
Area of large circle
Given:
circumference = 50.24 m
50.24 = 2 × 3.14 × r
r = 8 m
Therefore Area = 3.14 × 8²
= 200.96 m²
Area of small circle
Given circumference = 25.12 m
⇒ 25.12 = 2 × 3.14 × r
⇒ r = 4 m
Therefore Area = 3.14 × 4²
= 50.24 m²
Area of shaded path area = area of large circle - area of small circle
= 200.96 - 50.24
= 150.72 m²
Hence, the area of the walking path is 150.72 m²
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Explain why the product of 4 x 500 has three Os, not just two Os.
Answer:
because 4 is being multiplied by 500 which has two zeros because it is a multiple of 100
Step-by-step explanation:
Answer:
Because when you multiply 500 by 4 you start with the first 0. 4x0 is 0, now you move on to the second 0. 4x0 is 0, so that one is 0 too. Now you multiply the 5. 5x4 is 20. You put the 20 first, followed by the two 0s, And you get 2,000.
Step-by-step explanation:
HELP PLEASE
you dont need to explain anything
Answer:
yes
Step-by-step explanation:
also its a 45 degree angle
cuz 135-90+45
XD brainliest pls
What’s x…………………,::::
Answer:
25
Step-by-step explanation:
The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:
[tex](x+26)+(x+14)+(4x-10)=180[/tex]
We can then combine like terms:
[tex]6x+30=180[/tex]
We want to get 6x alone, so we can subtract 30 from both sides:
[tex]6x=150[/tex]
Then we want to get x alone, so we can divide both sides by 6:
[tex]x=25[/tex]
Now we know that x is 25.
What is -4/-2 simplified. Is it -2, or just 2?
Answer:
It's just 2
Step-by-step explanation:
When you divide a negative by a negative, it becomes positive
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
to change a mixed number into an improper fraction
a [tex]\frac{b}{c}[/tex] = [tex]\frac{ac+b}{c}[/tex] , then
9 [tex]\frac{1}{3}[/tex]
= [tex]\frac{9(3)+1}{3}[/tex]
= [tex]\frac{27+1}{3}[/tex]
= [tex]\frac{28}{3}[/tex]
Answer:
we use the same program
Step-by-step explanation:
28/3 Is the answer!
(by the way you can use a simplify calculator
for most of the problems it gives you.)
Hopefully this helps you!
-Keira
need answers don't know how to do any of them
Answer:
N + B + D = 90 sum of ages is 90 (I)
B = 2 D B is twice as old as D
N + 3 D = 90 using above equations
(N + 10) + 3 D = 100 add 10 to both sides
B + 3 D = 100 Brian is 10 yrs older than Nigel
2 D + 3 D = 100 Brian is twice the age of Dean
5 D = 100
D = 20 Dean's age
Brian = 2 D = 40 Brian's age
90 - 60 = 30 = Nigel's age
Check:
N + 10 = B = 30 + 10 = 40 = Brian's age