Answer:
m=4/3
Step-by-step explanation:
A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %
Answer:
14% of the seats are empty
Step-by-step explanation:
7/50 = ?/100
50×2=100
so 7×2=?
?=14
14/100=14%
The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%
How to work with percentages?
We are given;
Total number of seats in hall = 50
Number of occupied seats = 43
Number of empty seats = 7
Now, we want to find the percent of seats were empty.
This is gotten by;
% of empty seats = (number of empty seats/total number of seast) * 100%
% of empty seats = (7/50) * 100%
% of empty seats = 14%
Read morer about Percentages at; https://brainly.com/question/843074
Recommendations Skill plans A Math FL Standards Algebra 1 > J.10 Solve one-step and two-step equations: word problems UFG You have prize On a sunny fall day, Raymond and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs 20 pounds. In all, Raymond's family picks 44 pounds of apples. Which equation can you use to find the weight w of the Golden Delicious apples? W + 20 = 44 20w = 44 W - 20 = 44 = 44 20 Solve this equation for w to find the weight of the Golden Delicious apples. pounds Submit
(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.
(b) The weight of the Golden Delicious apples is 24 pounds.
Let the weight of the Golden Delicious apples = WWeight of the Honeycrisp apples = 20 lbTotal weight of the apples = 44 lb
The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;
Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples
W + 20 = 44
The weight of the Golden Delicious apples is calculated as follows;
W + 20 = 44
collect similar terms together;
W = 44 - 20
W = 24 lb
Learn more about word problem in Algebra here: https://brainly.com/question/17067890
Solve the system of linear equations.
13x+y=1
2x+6y=6
Answer:
x = 0 and y = 1 Solution: (0, 1)
Step-by-step explanation:
13x + y = 1 multiply by -6 ⇔ -78x - 6y = -6
2x + 6y = 6 do not change ⇔ + 2x + 6y = 6
-76x = 0
x = 0
Use the second equation to solve for y if x = 0
2x + 6y = 6
2(0) + 6y = 6
0 + 6y = 6
6y = 6
y = 1 Solution (0,1)
What am I supposed to say on here the question is in the picture
A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?
Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]
The equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
In which:
There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]
To find the value of [tex]\theta[/tex], we have that:
[tex]3\tan{\theta} = \sqrt{3}[/tex]
[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]
[tex]\theta = \frac{\pi}{6}[/tex]
Then, for the slope:
[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]
[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]
Considering [tex]\theta = \frac{\pi}{6}[/tex]:
[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]
[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]
[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]
Then, the equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]
[tex]y = x - \sqrt{3}[/tex]
The y-intercept is the value of y when x = 0, hence:
[tex]y = \sqrt{3}[/tex]
A similar problem is given at https://brainly.com/question/22426360
Read the sentences.
Carlos wanted to go to the arcade so badly, but his father said he had to do his homework first. His father wouldn't budge on his decision.
A synonym for the word budge is change. What does the word budge mean as it is used in this sentence?
To keep
To bend
To disagree
To entertain
Answer:
To Bend I would say.
Step-by-step explanation:
Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.
What is the degree measure of the angle formed by the hands of a clock at 7:30 PM?
Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph
Step-by-step explanation:
Solution is already given:
3x ≤ - 5/4x ≤ -5/12Graph the inequality:
1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dotAnd you are done
So Graph it
Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dotThe Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
5i/x-5i what is the simplest form?
51/x - 5i
this is the answerrrr
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answer:
3/5
Step-by-step explanation:
What equation can be written for this graph?
Pls help!!!
Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
Point 1: x=2 and y=50Point 2: x=4 and y=100Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
Define Equilateral, isosceles and scalene triangles.
Answer:
Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.
Step-by-step explanation:
Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow
The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
Visit: https://brainly.com/question/16899603
Simplify the expression
x - (-2x + 4)
What equation matches this graph?
TI
y = 2x + 2
y = 3/2x + 2
y = 1/2x + 2
y = 2/3x + 2
Answer:
y = 1/2x+2
Step-by-step explanation:
first find x intercepts : to find x intercept put 0 in y
1/2x+2 = 0
1/2x= -2
x = -4 the graph shows x intercept at 4
next find y intercept : to find y intercept put 0 into x
=1/2*0+2
=2
the graph shows y crosses at 2.
Answer:
y = 1/2x+2
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
21.6 ft
Step-by-step explanation:
Similar Triangles
6/10=B/36
B=21.6
Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.
Answer: 25/27
Step-by-step explanation:
4/9 + 4/5 (2/3)^2
4/9 + (4/5)(4/9)
4/9 + (16/54)
24/54 + 16/54
50/54
25/27
Answer:4/5
Step-by-step explanation:
Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip
Answer:
12$ tip together is will be 92$
Step-by-step explanation:
Help for points please!
Answer:
A) 0
Step-by-step explanation:
15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.
Answer:
0
Step-by-step explanation:
= [tex]\frac{5}{7}-\frac{5}{7}[/tex]
= [tex]\frac{5-5}{7}[/tex]
= [tex]\frac{0}{7}[/tex]
= [tex]0[/tex]
Need help l don’t understand new topic
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
find the value of x. send help friends
Answer:
50
Step-by-step explanation:
they have to add up to 80.
think about them sliding to the main vertex...
v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F
Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4
Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128
It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer: 1 group 65 bananas
Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.
HELP PLEASE...........
Answer:
B. slope -5, y-intercept (0, 7)
Step-by-step explanation:
The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)
The slope is ...
change in y / change in x
(-13 -7) / (4 -0) = -20/4 = -5 . . . slope
This matches choice B.
SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14
At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?
Answer:
47.25
Step-by-step explanation:
Heres how I found the answer:
if sales tax is 5%, then we need to find 5% of 45 and add it to 45!
5% of 45= 2.25
(I found this by doing 45*5%, or 45*.05)
Now, add 2.25 to 45!
Total bill=47.25 dollars
Hope I could help!
What is the slope of the line that passes through the points (-2, -5)(−2,−5) and (-3, -6) ?(−3,−6)? Write your answer in simplest form.
Answer:
0 & 0
Step-by-step explanation:
In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]
Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]
[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]
[tex]-2--2 = -2+2=0[/tex]
[tex]= 0[/tex]
[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]
[tex]m=\frac{-6--6}{3--3}[/tex]
[tex]-6+6=0[/tex]
[tex]-3+3=0[/tex]
[tex]=0[/tex]
Hope this helps.
What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4 ?
Answer:
y=-1/4x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/4(x-(-8))
y-3=-1/4(x+8)
y=-1/4x-8/4+3
y=-1/4x-2+3
y=-1/4x+1