Answer:
The slope is -2/3
Step-by-step explanation:
With this its easier to get all of the x's on one side.
distribute the -2/3 to the x and 1. Also add a 2 on each side.
Thats leaves you with y=-2/3x+4/3
You than want to make a chart of x's and y's so you know what this graph looks like
x|y
-3|(10/3)
-2|(8/3)
-1|2
0|(4/3)
1|(2/3)
2|0
3|(-2/3)
To find the slope, it's (y2-y1)/(x2-x1)
So in this case, (0-2)/(2+1)
The slope is (-2/3)
Answer:
Slope = -2/3
Point = (-1,2)
Plot the given point = (-1,2)
Use the slope to plot one more point = (2,0)
Step-by-step explanation:
Please help me answer my questions...
Answer:
80$
Step-by-step explanation:
total amount of needed=200
Total =Tef +Angelina+Jason
200=90+30+Angelina
Angelina=200-120
Angelina=80$
Please help with the questions on the picture, it's very urgent......Thank you✨
Answer:
2. sinθ= cos 35°
sinθ= sin(90°-35)
θ= 55°
3. cos4θ= sin5θ
cos 4θ= cos (90-5θ)
4θ=90°-5θ
collect like terms
4θ+5θ=90°
9θ=90° (divide both sides by 9)
therefore θ=10°
Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next
Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.
Step-by-step explanation:
Given: Number of machine parts in a batch = 8
weight of packaging for each part = 2 pounds
Let x be the weight of each part ( in pounds).
Weight of each part with packaging = x+2
Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )
= 8(x+2)
If each part weighs 6 pounds, then put x= 6
Total weight of the parts and their packaging = 8(6+2)
= 8 x 8 = 64 pounds
Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .
Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging
If y=total weight wiith that information we can form this equation
y=8x + 16
If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
n=16 kg
c=44 kg
Step-by-step explanation:
Let
n=nuts at $2.50 per kg
c=cereal at $1 per kg
n+c=60 (1)
2.5n + c=1.40(60) (2)
From (1)
n=60-c
Substitute n=60-c into (2)
2.5n + c=1.40(60)
2.5(60-c) +c=84
150-2.5c+c=84
-1.5c=84-150
-1.5c= -66
Divide both sides by -1.5
c=44 kg
Substitute c=44 into (1)
n+c=60
n+44=60
n=60-44
=16
n=16 kg
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Pls help with this question thank u all
Answer:
4 cm (A)
Step-by-step explanation:
triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.
sorry if what i wrote is a little confusing
Jessa bought her home for $125,000 in 2010. Property values have increased 15% every year since she has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?
Answer:
y= 125,000 (1.15x)
Step-by-step explanation:
Answer: y = 125000(1.15)^x
Step-by-step explanation:
The formula we use is y = p(1 + r)^x p is price and r is rate
the initial price is $125000 and the rate is 15%, or 0.15.
y = 125000(1 + 0.15)^x
y = 125000(1.15)^x
(SAT Prep) Find the value of x.
Answer: 40 degrees
Step-by-step explanation:
Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)
I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.
Answer: either 5, 5, 14
First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or
-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14
Hope it helps <3
The three positive numbers will be 5, 5 and 14.
Mode is the number that occurs most in a setMedian is the number that occurs in the middle.The Range is the difference between the highest and the lowest number.In this case, we've been given 2 of the numbers to be 5.
Then, the last number will be:
x - 5 = 9
x = 9 + 5
x = 14
Therefore, the three positive numbers are 5, 5 and 14.
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the bearing from Canada to Atlanta is 040 degrees. Calculate the bearing from Atlanta to Canada
Answer:
The bearing from Atlanta to Canada is 220 degrees
Step-by-step explanation:
Given
Represent Canada with C and Atlanta with A
Bearing from C to A = 040
Required
Determine the bearing from A to C
This concept is referred to as Back Bearing and it's calculated as follows.
Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;
Hence,
[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]
Substitute 040 for C to A
[tex]A\ to\ C\ =\ 180\ + 040[/tex]
[tex]A\ to\ C\ =\ 220[/tex]
Hence, the bearing from Atlanta to Canada is 220 degrees
The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?
Based on my answer, each van can carry students and each bus can carry students
Answer:
Number of students van can carry = 11
Number of students bus can carry = 41
Step-by-step explanation:
Given the following :
HIGH SCHOOL A:
Number of students = 184
Number of vans(v) = 13
Number of buses(b) = 1
Mathematically,
13v + 1b = 184 - - - - (1)
HIGH SCHOOL B:
Number of students = 520
Number of vans(v) = 10
Number of buses(b) = 10
Mathematically,
10v + 10b = 520 - - - - (2)
Multiply (1) by 10 and (2) by 1
130v + 10b = 1840 - - - (3)
10v + 10b = 520 - - - (4)
Subtract (4) from (3)
120v = 1320
v = 11
Substitute v = 11 into (1)
13(11) + 1b = 184
143 + b = 184
b = 184 - 143
b = 41
Number of students van can carry = 11
Number of students bus can carry = 41
help asap! <3 The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?
Answer:
histogram D
Step-by-step explanation:
From left to right, your frequencies (aka height of columns) should be 4, 8, 9, 8, and 3
heeeeeeeeeeeeeeeeelp
The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?
Answer:
He can ride for 28 miles
Step-by-step explanation:
Total cost of the ride = $ 10
Tips = $ 2
Cost of ride excluding tips = 10 - 2 = $ 8
Taxi fare for first 500 miles = $ 2.40
Taxi fare excluding first 500 miles = 8 - 2.40 = $ 5.60
distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile
= 5.60 ÷ 0.20
=28 miles
TIMED!!! Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
Step-by-step explanation:
Estimate to the nearest hundredth: √48 A. 6.93 B. 7.12 C. 24.00 D. 6.55
Answer:
The answer is option A.
√48 = 6.93 to the nearest hundredth
Hope this helps you
Answer:
A
Step-by-step explanation:
Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statement. It is not the case that a gun and a nose are both weapons. A gun is not a weapon or a nose is not a weapon. guns are not noses. A gun is a weapon but a nose is not. A gun is not a weapon and a nose is not a weapon.
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
The equivalent statement for the given statement - It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.
What is De Morgan's Law?The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.
Given is the following statement - It is not the case that a gun and a nose are both weapons.
Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -
A = gun
B = nose
~(p ∧ q) = Not(A ∧ B)
So, we can write it as -
~(p ∧ q) = Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.
where -
A gun is not a weapon → ~p
or → ∨
a nose is not a weapon → ~q
Therefore, the equivalent statement for the given statement - It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.
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An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (mph,hour,miles) and the speed of the wind is ____(mph,hour,miles)
Answer:
not quite sure what this is asking for but the average speed is 7800/11
FIRST GET BRAINNLEST Noam spins the spinner below 1000 times. Predict how many times the spinner landed on red.
Answer:
1/4
Step-by-step explanation:
Given:
Colors
Yellow 1
Red 1
Blue 2
Total 4
Required:
Times that the spinner landed on red=?
Formula:
Probability=Successful outcome ÷ Possible outcome.
Solution:
Probability=Successful outcome ÷ Possible outcome
Probability=1÷4
Probability=1/4
Hope this helps ;) ❤❤❤
Answer:
about 125 times
Step-by-step explanation:
Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.
Answer: The polynomial has 3 terms and a degree of 10.
Step-by-step explanation:
The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]
Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.
Combine like terms , we get
[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.
Degree of [tex]6st^9[/tex] is 1+9=10;
Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;
Degree of [tex]- 6t^7[/tex] is 7.
Since degree of the polynomial = highest degree i.e. 10
Hence, the polynomial has 3 terms and a degree of 10.
The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.
Discussion:
By counting the number of terms in the polynomial;
We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.Additionally, the degree of the polynomial is 10.
This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.
Read more on polynomial degree;
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The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.
Answer: [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
Step-by-step explanation:
In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.
Also, CE = CD = radius
⇒ ∠CED = ∠CDE ---(i) [angles opposite to equal sides of triangle are equal]
Since radius makes a right angle with tangent.
So, ∠CDF = 90°
⇒ ∠CDE =∠CDF - ∠EDF
⇒ ∠CDE= 90° - 84°
⇒ ∠CDE = 6°
From (i) ∠CED =∠CDE = 6°
In ΔCDE
⇒∠CED + ∠CDE + ∠ECD = 180°
⇒ 6°+6°+ ∠ECD = 180°
⇒ 12°+ ∠ECD = 180°
⇒∠ECD = 180° - 12°
⇒∠ECD = 168°
Since , Angle measure of the central angle is equal to the measure of the intercepted arc.
Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]
⇒[tex]m\overbrace{ED}[/tex]= 168°
Hence, [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
Solve:
3x - 9 = 5(x-3)
Hi,
[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]
Have a good day.
A student wants to know whether the teachers in the entire school prefer watching television or playing outdoor games after school. The student draws a random sample from the following groups: all school teachers, all students on the football team, all boys in each grade, all students in each grade. Which of the following groups best represents the population from which the student should take a random sample to get the best results for her survey?
Answer:
Step-by-step explanation:
All School teachers
Answer:
All school teachers
Step-by-step explanation:
The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.
QUESTION 8
Simplify the expression
(5-4 (25)2
expressing the answer as a power of 5
4-2b>(6-b) whats the answer this is algebra 1 solving inequalities with variables
Answer:
b<-2
Step-by-step explanation:
4-2b > (6-b)
4-2b > 6-b
-4 +b -4 +b
-b > 2
/-1 /-1
b < -2
Answer:
b<−2
Step-by-step explanation:
The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands: If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model? −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82 −3.09 ≤ x ≤ 32.82 5.6 ≤ x ≤ 24.13
Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
What are functions?Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:
P(x) = −0.74x² + 22x + 75
−0.74x² + 22x + 75 ≥ 175
−0.74x² + 22x − 100 ≥ 0
0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)
Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:
0.74x² − 22x + 100 = 0
Solving this equation, we get x = 5.6 and x = 24.13.
So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.
Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
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How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? ____ gal
Answer:
Step-by-step explanation:
Refer https://brainly.com/question/17122506
Which sign makes this number sentence true? |-101| __ -85 A. > B. < C. = D. x
Answer:
|-101| > -85
Step-by-step explanation:
|-101| __ -85
The absolute value is taking the positive value
101 __ -85
101 is greater than -85
|-101| > -85
Answer:
>
Step-by-step explanation:
What is the surface area of the rectangular pyramid below? 13,13,13
Answer:
1,014
Step-by-step explanation:
Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be
13x13x6 (6 sides)
=1014
Answer:
507
Step-by-step explanation:
apeex
HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box with side lengths of 16 inches. In square inches, how much of the box is empty? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation
portion of square empty = 256 - 153.86 = 102.14cm^2
umm i dont know why i am getting a different answer from the ones that are listed plz help
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
The answer is A
Step-by-step explanation:
The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.
Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3
Hope this helps!