Find his speed by dividing 366 miles by 6 hours:
366/6 = 61 miles per hour.
Divide 427 miles by 61 miles per hour to find the time:
427/61 = 7 hours
The answer is 7 hours.
Answer:
8 1/2 hours
Step-by-step explanation:
Sped
A company owes a bank $3600. Beginning with month 1, the company repays the bank $300 each month. Create an equation to represent the company's debt, d, after m months.
Answer:
Step-by-step explanation:
$3600/1
+ 300 d ( debt )
Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8
Step 6 contains an error. Option C is correct
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The incorrect step is;
[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
The correct step is;
[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.
Hence, option C is correct
To learn more about trigonometry, refer to the link https://brainly.com/question/26719838
#SPJ2
Write an expression for the sequence of operations described below.
j times the product of 4 and 7
J times the product of 4 and 7:
J(4x7)
Answer:
28j
Step-by-step explanation:
4 times 7=28
28 times j= 28j
please answer a and c pwease
Answer:
Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.
4.048 divided by 0.88
Answer:
4.6
Step-by-step explanation:
source; calculator .com
Answer:
0.528
Step-by-step explanation:
if you do the math youll get 0.528
Find the measure of the indicated angle to the nearest degree.
A. 40
B. 57
C. 33
D. 50
Answer:
50(Option D)
Step-by-step explanation:
Trigonometry
Inverse trig for this
So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan
tan^-1(56/47)
We get 49.993744 and so on
So rounded to the nearest degree, that is 50.
− 3 x + 12 = x , then x =
Answer:
x=3
Step-by-step explanation:
-3x+12=x
12=x+3x
12=4x
x=12
4
x=3 hope it helpu
y = 2x + 6. If x = 5, how much is y?
Answer:
16
Step-by-step explanation:
Y=2(5)+6
y=10+6
Y=16
Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in2012, how many boys were enrolled that year?
Answer:
150 boys were enrolled in 2012
Step-by-step explanation:
Let the number of boys enrolled in 2012 be x
Let the number of girls enrolled in 2012 be x + 200
Ratio of boys to girls in 2012 enrollment = 3/7
Now;
3/7 = x/x + 200
7x = 3(x + 200)
7x = 3x + 600
7x - 3x = 600
4x = 600
x = 600/4
x = 150 boys
Hence, 150 boys were enrolled in 2012
Three friends go grocery shopping together, and each buys the same kind of
strawberries. Akio buys 2 pounds (lb) and pays $1.50. Gordon buys 3 pounds
and pays $2.25. Maria buys 4 pounds and pays $3.00.
Identify the graph and unit price that represent the strawberry costs.
Answer:
Answer: A- 1.50$ for (1 lb) make sure you pick the graph with the coat that go to 7 not 12!
Step-by-step explanation:
but maybe its 1.25
Answer:
1.25
Step-by-step explanation:
HELP ME PLS ILL MARK AS BRAINLESS
Answer:
A. 10:2, simplifies to 5:1
B. 2:6, simplifies to 1;3
C. 5 cars there are 3 trucks
D. Motorcycle
Step-by-step explanation:
Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?
Answer:
-5=x
Step-by-step explanation:
3=-2 (x+2)
-2 (x+2) = -2x-4
3=-2x-4
-4 from 3 and -4
= -7=-2x
do the opposite "-2 to +2 "
=-5=x
Lucia is 5.5 feet tall. She is standing on the roof of a building that is 80 feet tall. She spots a fountain at ground level that she knows to be 122 feet away from the base of the building. What is the measure of the angle of depression formed by Lucia's horizontal line of sight and her line of sight to the fountain? Round your answer to the nearest degree.
Answer:
125°
Step-by-step explanation:
So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following
tan(y) = opposite / adjacent
tan(y) = 122 / 85.5
tan(y) = 1.4269
y = [tex]tan^{-1}[/tex](1.4269)
y = 54.97
Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x
180 - 54.97 = 125.03
Answer:
about 35°
Step-by-step explanation:
tan^-1(85.5/122)
35.02352736°
=35°
Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?
Answer:
19
Step-by-step explanation:
Adriana needs to send 232 invitations to her family and friends for her party.
There are 12 invitations in a box.
We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :
[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]
or
x = 19
So, she will need approx 19 boxes.
Does anyone know the answer to this and how to solve it? Thanks
Answer my questio down below plz and thank you!!
Use the slope formula to find the slope of the line that goes through the points ( 6, -5) and (3, 4). 13 3 −1/3 -3
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{ - 5 - 4}{6 - 3} \\ [/tex]
[tex]slope = \frac{ - 9}{3} \\ [/tex]
[tex]slope = - 3 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
Answer:
(5,4)Step-by-step explanation:
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]
Answer:
(5,4)
Step-by-step explanation:
Write a linear function with the values f(0) = 5 and f(-3) = 6
Answer:
You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:
y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)
y - 6 = ( -9 / 3 ) (x - 0)
y - 6 = -3x
y = -3x + 6 This is: y = mx+b
Step-by-step explanation:
hope this will help you..
The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]
The given functions are:
f(0) = 5
f(-3) = 6
That is, x₁ = 0, y₁ = 5, x₂ = -3, y₂ = 6
The slope of the linear function is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]
The equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]
The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]
Learn more on linear function here: https://brainly.com/question/18201178
What is the value of y in the equation 2(4y - 1) = 6? (4 points)
8y-2=6
8y=8
y=1
The value of the y is 1.
Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).
Answer:
[tex]y=-\frac{7}{2}x+8[/tex]
Step-by-step explanation:
Given the equation
[tex]y\:=\:\frac{2}{7}x+9[/tex]
comparing the equation with the slope-intercept form
[tex]y =mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is 2/7
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -7/2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]
[tex]y=-\frac{7}{2}x+8[/tex]
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!
Answer:
-2
Step-by-step explanation:
its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2
The temperature was 2.5°C below zero. After 4 hours, the temperature was now 5.6°C
above zero. What is the difference in temperature?
Show your work
Explain your answer
And THXS
PLEASE HELP. I need an answer by Nov 5
Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4
M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality
Answer:
Step-by-step explanation:
1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22; GIVEN
2. CM = MD Definition of Midpoint
3. 3x - 10 = 6x - 22 Substitution Property
4. -3x - 10 = - 22 Subtraction Prop of Equality
5. -3x =-12 Addition Prop of Equality
6. x = 4 Division Prop of Equality
The missing reasons in the two-column proof are:
1. Given
2. Definition of a midpoint
3. Addition property of equality
What is the Addition Property of Equality?To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.
In the two-column proof given, the missing reasons are:
1. Given (the information was stated already)
2. Definition of a midpoint (CM = MD)
3. Addition property of equality (10 was added to both sides of the equation).
Learn more about the addition property of equality on:
https://brainly.com/question/1542520
#SPJ2
Please help with these two questions...
I'll give you brainliest and I'll give you likes
Answer:
GH= 65.75
x=44.25
Step-by-step explanation:
I'm not so sure don't take my word for it I just wanted to try because I'm also new to geometry.
1.) 1
2. 4
3. 5
4. 3
Answer:
4. 3
Step-by-step explanation:
If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.
You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.
Hope that helps :)
The area of a circle is given by the formula:
A = Ttr2 where r is the radius of the circle.
What is the exact area of a circle with a diameter of 10 cm?
Answer:
A = 25π cm²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Here diameter = 10, thus r = 10 ÷ 2 = 5, then
A = π × 5² = 25π cm²
Walter and Helen are asked to paint a house. Walter can paint the house by himself
in 12 hours and Helen can paint the house by herself in 16 hours. How long would it
take to paint the house if they worked together? Round to the nearest tenth.
The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Let the area that is needed to be painted be x.
Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,
Rate = Area needed to be painted / Time
= x / 12 hours
= x/12
Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,
Rate = Area needed to be painted / Time
= x / 16 hours
= x/16
Now, the rate at which they both will paint or the area that they will cover in an hour is,
Rate = (x/12) + (x/16)
= (4x/48) + (3x/48)
= (4x + 3x)/48
= 7x / 48
Furthermore, the time it will take both of them together to paint the house is,
Time = Area needed to be painted / Rate
= x / (7x/48)
= 48/7 hours
= 6.857 hours
Hence, the time it will take both of them together to paint the house is 6.857 hours.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?
Answer:
7.5 gallons
Step-by-step explanation:
divide 12 by 3 to get oz per minute. 4
do 60 × 4 to get total minutes 240
4×240=960
put 960 oz into gallons and get 7.5
Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. How many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work (psst...Make sure you label or it will be marked wrong).
Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
[tex]x_1=\dfrac13\[/tex] , [tex]y_1=\dfrac34[/tex] , [tex]y_2=3[/tex]
Put these values in an equation we get
[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]
Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .
Answer:
He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.
Step-by-step explanation:
Orange Juice:
3 cups / 3/4 cups = 12/3= 4
Pineapple Juice:
1/3 × 4 = 4/3 cups= 1 1/3 cups