Answer:
A) buddy = sadie + 14
B) buddy + sadie = 136
A) buddy -sadie = 14
Adding equations A & B
2 * buddy = 150
buddy = 75 pounds
sadie = 61 pounds
Step-by-step explanation:
If their total weight is 136 pounds, sadie weigh 61 pounds.
Let the weight of Sadie=x
Let the weight of Buddy=y
Hence:
y=x+14
Total weight= x +y=136 pounds
Formulate
14+2×x=136
x+x+14=136
2x=136-14
2x=122
Divide both side by 2x
x=122/2
x=61 pounds
Inconclusion If their total weight is 136 pounds, sadie weigh 61 pounds.
Learn more here:
https://brainly.com/question/21107664
If you need 3 hot dogs for every 5 people and 1,200 people show up how many hot dogs would you need
Answer:
I'd say about 720 hotdogs.
Step-by-step explanation:
Trevor and Marissa together have 26 t-shirts to sell. If marissa has 6 fewer t shirts than trever, how many t shirts does Trevor have
y = 2x + 3
2y = 4x + 6
The system of equations has _____ solution(s).
A.no
B.one
C.infinite
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record, and needs 18,000 points or more to do so. Write an inequality to determine how many seven-letter words, ww, Sal will need to make to break the record.
Answer:
x is greater than or equal to 358
Step-by-step explanation:
1. Subtract 100 from 18,000
2. Divide by 50 to get your number of seven letter words
Anna baked 33 batches of cookies with cc cookies in each batch. She then ate 88 cookies! How many cookies does Anna have left?
Please help! 70 points :)
Will award brainliest
Answer:
38 = FH
Step-by-step explanation:
Because this is a rectangle, IG = FH
We know that IE + EG = FH
We also know that IE = EG (perpendicular bisectors)
IE = EG
3x+4 = 5x-6
Subtract 3x from each side
3x-3x+4 = 5x-3x-6
4 = 2x-6
Add 6 to each side
4+6 =2x
10 =2x
Divide by 2
10/2 =2x/2
5=x
Now lets find FH
IE + EG = FH
3x+4 + 5x-6 = FH
Combine like terms
8x-2 = FH
Substitute in x =5
8*5-2
40-2
38 = FH
Answer:
40-2
38 = FH
Step-by-step explanation:
look at attachment 10 POINTS!!!
Answer:
The midpoint of TS is (-1,-3)
The coordinates of M should be (8,18)
Step-by-step explanation:
divide. simplify your answer (2x^4-6x^3+4x^2-3x)*(2x) pls show work
Distribute
2x × 2x^4 + 2x × -6x^3 + 2x ×4x^2 + 2x × - 3x
Take out the constants
(2 × 2)xx^4 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x
Simplify 2 × 2 to 4
4xx^4 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x
Use Product Rule: x^a x^b = x^a + b
4x^1 + 4 + 2x × -6x^3 + 2x ×4x^2 + 2x × -3x
Simplify 1 + 4 to 5
4x^5 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x
Take out the constants
4x^5 + (2 × -6)xx^3 + 2x × 4x^2 + 2x × -3x
Simplify 2 × -6 to -12
4x^5 - 12xx^3 + 2x × 4x^2 + 2x × -3x
Use the Product Rule: x^a x^b = x^a + b
4x^5 - 12x^1 + 3 + 2x × 4x^2 + 2x -3x
Simplify 1 + 3 to 4
4x^4 - 12x^4 + 2x ×4x^2 + 2x × -3x
Take out the constants
4x^5 - 12x^4 + (2 × 4)xx^2 + 2x × -3x
Simplify 2 × 4 to 8
4x^5 - 12x^4 + 8xx^2 + 2x × -3x
Use the Product Rule: x^a x^b = x^a + b
4x^5 - 12x^4 + 8x^ 1 + 2 + 2x × -3x
Simplify 1 + 2 to 3
4x^5 - 12x^4 + 8x^3 + 2x × -3x
Take out the constants
4x^5 - 12x^4 + 8x^3 + (2 × -3)xx
Simplify 2 × -3 to -6
4x^5 - 12x^4 + 8x^3 - 6xx
Use the Product Rule: x^a x^b = x^a + b
4x^5 - 12x^4 + 8x^3 - 6x^2
Answer:
4x^5 - 12x^4 + 8x^3 - 6x^2
Step-by-step explanation:
Roberto'S puppy weighed 4.5 pounds at the end of May during June and July the puppy gained 18.63 pounds how much did Roberto's puppy weight at the at the end of July
Answer: 23.13 lbs
Step-by-step explanation:
Weight in May + Weight gained = Weight in July
4.5 + 18.63 =
23.13 =
NOTE: Make sure to line up the decimal point when adding decimals:
4.50
+ 18.63
23.13
Your mother asked you to turn the oven down to 325 degrees Fahrenheit This is 75 degrees fahrenheit less than it was. What was the original temperature
Please answer this question correctly!!
f(x) + n - translate the graph n units up
f(x) - n - translate the graph n units down
f(x + n) - translate the graph n units left
f(x - n) - translate the graph n units right
|f(x)| - reflect over x-axis for x < 0.
[tex]f(x)=|x+2|-5[/tex]
Graph g(x) = x
g(x + 2) = x + 2 → translate 2 units left
|g(x + 2)| = |x + 2| → reflect over x-axis for x < 0
|g(x + 2)| - 5 = |x + 2| - 5 → translate 5 units down
The Ebbinghaus model of human memory may be used to model the amount of acquired knowledge a college student will retain after “cramming” for a final exam. The formula is p=(100-a)e^-b(0.07), where a and b vary from one person to another, and p is the percent of retained knowledge 1/2 day later when the student actually takes the final exam. If a = 20 and b = 1.2 for a typical student, how much of their “crammed” knowledge will that student retain at the moment of taking the final exam?
Answer: 73.55%
Step-by-step explanation:
p = (100-a) e^-b(0.07)
we have a = 20 and b =1.2
= (100-20) e^-(1.2)(0.07)
= 80(e^-0.084)
= 80(0.919431)
= 73.55%
Answer:
The correct answer is 93.6%
Step-by-step explanation:
Got it right on Edge 2020
Right triangle ABC has side lengths 3,4 and 5. Do the side lengths form a Pythagorean triple? Explain.
Answer:
Yes, the side lengths of ΔABC forms a Pythagorean triple
Step-by-step explanation:
Given : A right angled triangle ABC
Side lengths - 3,4 and 5
To Find: . Do the side lengths form a Pythagorean triple?
Solution :
Hypotenuse (longest side) = 5
To check we need to use Pythagoras theorem :
[tex]Hypotenuse^{2} =Perpendicular^{2} +Base^{2}[/tex]
[tex]5^{2} =3^{2} +4^{2}[/tex]
[tex]25 =9 +16[/tex]
[tex]25 =25[/tex]
Since Pythagoras theorem is verified . So, the side lengths form the Pythagorean triplet.
Hence the side lengths of ΔABC forms a Pythagorean triple
If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.
a:11/5
b:33/15
c:55
Answer:
55
Step-by-step explanation:
The equation of inverse variation is
y = k/x,
where k is a constant.
We can use the given x- and y-coordinates to find k.
y = k/x
15 = k/11
k = 165
The inverse variation equation for this problem is
y = 165/x
For y = 3,
3 = 165/x
3x = 165
x = 55
Answer:
C
Step-by-step explanation:
given x varies inversely as y then the equation relating them is
x = [tex]\frac{k}{y}[/tex] ← k is the constant of variation
To find k use the given condition x = 11 when y = 15
k = xy = 11 × 15 = 165 , hence
x = [tex]\frac{165}{y}[/tex] ← inverse variation equation
when y = 3, then
x = [tex]\frac{165}{3}[/tex] - 55 → C
Please help!!
Divide. 2 5/8 ÷ 2 1/2 Enter your answer, as a mixed number in simplest form, in the box.
The simplest form of [tex]2\frac{5}{8}[/tex] ÷ [tex]2 \frac{1}{2}[/tex] is [tex]1\frac{1}{20}[/tex] .
Simplification: Consider,[tex]2\frac{5}{8}[/tex] ÷ [tex]2\frac{1}{2}[/tex]
write the mixed fraction to improper fraction
= [tex]\frac{21}{8}[/tex] ÷ [tex]\frac{5}{2}[/tex]
Now change the division sign to the multiplication sign by writing the second number as [tex]\frac{2}{5}[/tex] .
= [tex]\frac{21}{8}[/tex] × [tex]\frac{2}{5}[/tex]
= [tex]\frac{21}{20}[/tex]
Write the above improper fraction into a mixed fraction.
= [tex]1\frac{1}{20}[/tex]
Know more about mixed fractions:
https://brainly.com/question/14466992?referrer=searchResults
#SPJ2
Bob has a standard deck of playing cards. If he randomly draws a J, K, 2, and 2, what is the probability that the next card he draws to add to his hand is a K? Please answer in fraction form.
Answer:
The correct answer has already been given (twice). I'd like to present two solutions that expand on (and explain more completely) the reasoning of the ones already given.
One is using the hypergeometric distribution, which is meant exactly for the type of problem you describe (sampling without replacement):
P(X=k)=(Kk)(N−Kn−k)(Nn)
where N is the total number of cards in the deck, K is the total number of ace cards in the deck, k is the number of ace cards you intend to select, and n is the number of cards overall that you intend to select.
P(X=2)=(42)(480)(522)
P(X=2)=61326=1221
In essence, this would give you the number of possible combinations of drawing two of the four ace cards in the deck (6, already enumerated by Ravish) over the number of possible combinations of drawing any two cards out of the 52 in the deck (1326). This is the way Ravish chose to solve the problem.
Another way is using simple probabilities and combinations:
P(X=2)=(4C1∗152)∗(3C1∗151)
P(X=2)=452∗351=1221
The chance of picking an ace for the first time (same as the chance of picking any card for the first time) is 1/52, multiplied by the number of ways you can pick one of the four aces in the deck, 4C1. This probability is multiplied by the probability of picking a card for the second time (1/51) times the number of ways to get one of the three remaining aces (3C1). This is the way Larry chose to solve the this.
Step-by-step explanation:
Hi There!
Answer:
4/52 (With cards picked before put back.)
3/48 (With cards picked before not put back.)
Step-by-step explanation:
A standard deck of cards is made up of 52 cards.
There are 4 kings in a deck.
4/52
Bob has a 4/52 chance of picking a king.
I don't know if the cards he picked prior to this he put back or not. If he didn't then it's 3/48.
Hope This Helps :)
plz no one ever helps me I need the answer
Which statement is TRUE about 131 ? A) It lies between 12 and 13 on a number line. B) It lies between 11 and 12 on a number line. C) It lies between 10 and 11 on a number line. D) It lies between 9 and 10 on a number line.
Answer:
B
Step-by-step explanation:
The square root of 131 is 11.445 and so it lies between 11 and 12 on a number line.
See where it goes on a number line below:-
PLEASE HELP PLEASE PLEASE
Answer:
2.5 rad ( to the nearest tenth )
Step-by-step explanation:
the time difference between the given times is 24 minutes
In 1 hour the hand moves 2π radians, hence in 1 minute moves
[tex]\frac{2\pi }{60}[/tex], thus in 24 minutes moves
[tex]\frac{2\pi }{60}[/tex] × 24 ≈ 2.5 radians
In a cube, all the dimensions have the same measure. True or False
Answer:true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Need help with both 18 and 19.
18. Answer: D
Step-by-step explanation:
First, find the measure of the missing angle.
65° + 57° + x = 180°
122° + x = 180°
x = 58°
Next, match up the angles with the opposite sides:
65° ⇄ Swim
58° ⇄ Bike
57° ⇄ Run
Lastly, put them in order from least to greatest:
57° < 58° < 65°
⇒ Run < Bike < Swim
The only multiple choice option that is correct is Bike > Run.
*****************************************************************************
19. Answer: 22.3°
Step-by-step explanation:
[tex]sin\theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]sinD= \dfrac{EF}{DE}[/tex]
[tex]sinD= \dfrac{19}{50}[/tex]
[tex]D= sin^{-1}\bigg(\dfrac{19}{50}\bigg)[/tex]
D = 22.3°
Write a function rule for the given graph identify the value of y when x=12
write out the steps
Answer:
y=8
Step-by-step explanation:
We need to find the equation for the line.
The first step is to find the slope
We need 2 points (0,2) (2,3)
slope = (y2-y1)/(x2-x1)
= (3-2)/(2-0)
= 1/2
We know the y intercept ( where it crosses the y axis) at 2
Lets use the slope intercept form of the line
y= mx+b
y = 1/2 x+2
If we want to find the value of y when x =12 , substitute the value of x=12
y =1/2 * 12 +2
y = 6+2
y=8
HELP ASAP!! ∵ Question in Pictures... ∵ 65 POINTS!
1. The graph of y=2/3x-2 is the top right corner, the -2 in the equation makes the line cross the y axis at -2
2. The slope is always with x and the y intercept is the second part of the equation.
The equation would be y = 5/6x -3
3. The slope is the change in Y over the change in X
slope = 10-7 / 2 - -1 = 3/3 = 1
Using the line formula y = mx+b, solve for b using the first point and the slope:
7 = 1 (-1)x +b
b = 7+1
b =8
The equation is -x +y =8
4. the jar starts with 6 , then they add 2 each day, multiply 2 by the number of days (x) and add it to 6:
The equation would be y = 2x + 6
5. point (5,9) slope = 2
Point-slope formula is written as y - y1 = m(x-x1)
y1 = 9, x1 = 5, m = 2
equation becomes y-9 =2(x-5)
Answer:
The answer is the first graph
The equation is y = 5/6x -3
The next equation is -x +y =8
The equation after would be y = 2x + 6
And, the final answer is y-9 =2(x-5)
Hope this helps!
144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase
Determine the standard form of the equation of the line that passes through (-6,6) and (3,-2)
Considering the expression of a line, the equation of the line that passes through the pair of points (-66) and (3,-2) is 8/9x +y= 2/3.
Linear equation
A linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points in the expression y = mx + b, the value of the ordinate to the origin b can be obtained.
The standard form of the line is Ax +By= C
Equation in this case
In this case, being (x₁, y₁)= (-6, 6) and (x₂, y₂)= (3, -2), the slope can be calculated as:
m= (-2 - 6)÷ (3 - (-6))
m= (-2 - 6)÷ (3 + 6)
m= (-8)÷ 9
m= -8/9
Considering point 2 and the slope, you obtain:
-2= (-8/9)×3 + b
-2= -8/3 + b
-2 +8/3= b
2/3= b
The equation of the line is y= -8/9x +2/3.
Finally, the standard form of the line is 8/9x +y= 2/3
A city has 3 new houses for every 7 old houses. If there are 15 new houses in the city, how many old houses are there? A. 37 B. 35 C. 33 D. 38
The solution is Option B.
The number of old houses in the city are 35 houses
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The number of new houses = 3
The number of old houses = 7
So , the ratio of old houses to new houses = number of old houses : number of new houses
Substituting the values in the equation , we get
Ratio of old houses to new houses = 7 : 3
Now , the number of new houses = 15
So , the number of old houses A is given by the proportion equation ,
7 : 3 : : A : 15
On simplifying the equation , we get
7/3 = A / 15
Multiply by 15 on both sides of the equation , we get
A = ( 7 x 15 ) / 3
A = 7 x 5
A = 35 houses
Therefore , the value of A is 35 houses
Hence , the number of old houses is 35
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ5
Final answer:
The correct number of old houses is found by determining how many times the 3:7 ratio of new to old houses fits into the 15 new houses and then applying that to the 7 old houses in the ratio, which results in 35 old houses.
Explanation:
The question asks to find the number of old houses in a city given the ratio of new to old houses and the number of new houses. There is a ratio of 3 new houses for every 7 old houses. If there are 15 new houses, we need to find how many times the ratio fits into the number of new houses and then apply that same multiplier to the number of old houses.
To find this, we divide the number of new houses by the number of new houses in the ratio:
Number of times the ratio fits = 15 new houses ÷ 3 new houses per ratio = 5 times
Now, we multiply the number of old houses in the ratio by 5:
Number of old houses = 7 old houses per ratio × 5 times = 35 old houses
Therefore, the correct answer is B. 35.
HELP please explain to me how to get this.
Which of the following represents a function?
Answer:
option A : graph is a function
Step-by-step explanation:
(a) option is given is a graph
For graph , the function should pass vertical line test
Draw vertical line for every value of x
The vertical lines cross only one red point at a time
So the graph is a function
(b) When each input has only one output then it is a function
in option B , input 3 has two output -5 and 0
so it is not a function
(c) in option C , input 3 has two output 14 and 19
so it is not a function
(d) in option d , input -1 has two output -11 and 5
so it is not a function
Please answer both questions and show all your work. I am in a hurry... please...
1) To finish an order in time the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. In how many days was the company supposed to finish the order?
2) If eight people share equally in an inheritance, what percent of the inheritance belongs to three people? What percent belongs to them if two of the people are disinherited? By what percent does each person’s share of the inheritance increase?
Answer: 1) 9 days
2) a)37.5%
b)50%
c) 33.33%
Step-by-step explanation:
1) - Let's call:
x: number of days the company supposed to finish the order.
- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:
[tex]40x=(40+20)(x-3)\\40x=60(x-3)[/tex]
- Solve for [tex]x[/tex]:
[tex]40x=60x-180\\-20x=-180\\x=9[/tex]
(The answer is 9 days)
2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:
[tex]\frac{3}{8}*100=37.5[/tex]%
b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:
[tex]\frac{3}{6}*100=50[/tex]%
c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:
[tex]\frac{1}{6}-\frac{1}{8}=\frac{1}{24}=0.04167[/tex]
- Divide the result by 1/8 and multiply by 100 to obtain the percent:
[tex]\frac{0.04167}{\frac{1}{8}}*100=33.33[/tex]%
Please help simple math problem.
Answer:
the answer is x=5 for a fact
Step-by-step explanation:
Answer:
the answer would be x=5
Thomas earns 15 per hour if he recurved a 10% per hour pay increase how much does Thomas now make per hour
Answer:
He now makes 16.50 per hour
Step-by-step explanation:
15.00 x .10 = 1.50
15.00 + 1.50 = 16.50
Which points are on the graph of f(x)=(1/3)x ?
Select each correct answer.
(0, 1)
(3, 27)
(−2, 9)
(−1, −1/3)
Answer:
the only point is (0,1) if u would look at the graph i post
Step-by-step explanation:
The point which lies on the graph of f(x) = (1/3)x will satisfy the function thus point (-1, -1/3) will lie on the graph thus option (D) is correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
As per the given function,
f(x) = (1/3)x
Substitute, x = 0,
y = f(0) = (1/3)0 = 0
So,(0,1) will not lie on the graph.
Similarly, (3, 27) and (−2, 9) also do not lie on the graph.
Substitute (-1,-1/3)
-1/3 = (1/3)(-1) = -1/3
Thus, it will be the point of the function.
Hence "The point which lies on the graph of f(x) = (1/3)x will satisfy the function thus point (-1, -1/3) will lie on the graph".
For more information about the graph of a function,
brainly.com/question/27757761
#SPJ3