Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
20.
Find a quadratic function to model the values in the table.
A. y = -2x^2 - 3x + 3
B. y = 3x^2 + 3x - 3
C. y = -3x^2 - 3x - 3
D. y = 2x^2 + 3x + 2
Answer:
B. y = 3x^2 + 3x - 3
Step-by-step explanation:
Find the function rule.
y = 3 x ^2 + 3 x − 3
\table[[x,y],[-1,-3],[0,-3],[3,33]]
The quadratic function to model the values in the table is,
⇒ y = 3x² + 3x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values of x and y in the table are,
⇒ x = - 1, 0, 3
⇒ y = - 3, - 3, 33
Now, We know that;
The standard form of the quadratic equation is,
⇒ y = ax² + bx + c
Put x = - 1, y = - 3;
⇒ - 3 = a (- 1)² + b (- 1) + c
⇒ - 3 = a - b + c .. (i)
Put x = 0, y = - 3;
⇒ - 3 = a (0)² + b (0) + c
⇒ - 3 = c
Put x = 3, y = 33;
⇒ 33 = a (3)² + b (3) + c
⇒ 33 = 9a + 3b - 3
⇒ 36 = 9a + 3b
⇒ 36/3 = 3a + b
⇒ 3a + b = 12 .. (ii)
From (i);
⇒ - 3 = a - b + c
⇒ - 3 = a - b - 3
⇒ a - b = 0 .. (iii)
Solve for (i) and (iii), we get;
⇒ a = 3, b = 3
Hence, The quadratic function to model the values in the table is,
⇒ y = ax² + bx + c
⇒ y = 3x² + 3x - 3
Learn more about the mathematical expression visit:
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Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
To learn more on Equation:
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Please help answer this question picture is including
Answer:
B.15
Step-by-step explanation:
The answer is 15 because we can identify this shape as a quadrilateral kite
So, we know that a quadrilateral kite has two pairs of congruent adjacent sides
Therefore AB = AC and BD = DC
Coach Eddie ordered baseball gloves 30% of them were left handed. If 24 gloves were left handed, how many total gloves are there
Answer:
sorry I don't understand
Do y’all know the answer ….???
Answer:
$500
Step-by-step explanation:
John earns $100 per night.
He works 5 nights a week.
Therefore his weekly gross wage = $100 × 5
= $500
(8 points) will mark brainliest!! pls help:)
Answer:
-0.366666666667
Step-by-step explanation:
that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)
Answer:
-24/5 is the correct answer.
Steps:
1) -4 x 2/5 = -8/5
2) 1 x 1/3 = 1/3
3) -8/5 : 1/3 = -24/5
PLEASE HELP!!
What is the equation that represents the sequence shown below?
7/2, 7/4, 7/8, 7/16, ….
Answer:
7/2(1/2)^(n-1)
Step-by-step explanation:
multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)
Please take a look at the picture
Answer:
C
Step-by-step explanation:
it is none of the above, because
x - (-x) = x + x = 2x
and that is not -x
0 - (-x) = 0 + x = x
and that is not -x
A couple goes to a restaurant for dinner. Below is a probability table in which X is the
amount (dollars) on the meal spent by the husband and Y is the amount spent by the
wife.
X = 15
X = 20
X = 25
Y = 15
0.20
0.15
0.05
Y = 20
0.15
0.15
0.10
Y = 25
0.05
0.10
0.05
a. (7 pts) What is the probability that this couple spends 45 dollars or more?
b. (7 pts) Suppose that the restaurant is currently running a promotion with a
10% discount if the total amount spent by a table is 45 dollars or more.
What is expected total amount the couple actually has to pay?
Using the probability table, it is found that:
a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
b) The expected amount the couple actually has to pay is $36.85.
From the table, the probabilities of each total cost are:
[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]
[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]
[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]
[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]
[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]
Item a:
This probability is:
[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]
There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
The expected value is the sum of each outcome multiplied by it's respective probability.
For X = 45 and X = 50, the value is multiplied by 0.9, due to the discount.Hence:
[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]
The expected amount the couple actually has to pay is $36.85.
A similar problem is given at https://brainly.com/question/24855677
A baker needs to arrange 487 cookies on plates.
Each plate can hold 8 cookies. How many plates will
the baker need
Based on the information given the number of plates that the baker will need is 61 plates.
Using this formula
Number of plates=Number of cookies arranged/Each plates number of cookies
Where:
Number of cookies arranged=487
Each plates number of cookies=8
Let plug in the formula
Number of plates=487/8
Number of plates=60.9
Number of plates=61 plates (Approximately)
Inconclusion the number of plates that the baker will need is 61 plates.
Learn more here:https://brainly.com/question/25130978
Which graph appears to show a linear proportional relationship between x and y?
A,B,C, or D
Answer:
Step-by-step explanation:
please help as fast as you can
Answer:
x= 32 i think
CD= 51
Step-by-step explanation:
Answer:
9x-15=7x-1. => 2x=14 x=7
CD= 7×7-1=48
Multiply or divide. write fractions in simplest form.
0.15 x (-0.6)
please help with this problem. i will mark you brainliest !
Step-by-step explanation:
Multiply
0.15
by
−
0.6
.
−
0.09
Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight
here are the correct answers :)
do you have a cat and if so how old is he or she
9÷108 please tell me
Answer:
108 ÷ 9 = 12
Step-by-step explanation:
Answer:
0.083333333333333
Step-by-step explanation:
solve the following stystem -4x + 2y = 0 and x + y = -1
A boy eats ⅝ of a loaf at breakfast and ¼ of it for Lunch. what fraction of the loaf is Left?
9th grade math pls help
g(x)=2f(1/2x)
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
g*(x)-(2*f*(1/2*x))=0
PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25
Function 2 is represented by the table.
x y
5 31
10 41
15 51
20 61
Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.
The rate of change for Function 2 is three times the rate of change for Function 1.
The rate of change for Function 2 is one third the rate of change for Function 1.
The rate of change for Function 2 is the same as the rate of change for Function 1.
Answer:
The rate of change for Function 2 is one third the rate of change for Function 1.
Please mark brainliest if possible :)
y’all please help me
Calcula el área de un círculo cuyo diámetro mide 4 metros.
Answer:
12.56 m²
Step-by-step explanation:
Circle with diameter 4 has a radius of 2
Area of Circle = πr²
Area of Circle = 3.14(2²)
Area of Circle = 12.56
El círculo de diámetro 4 tiene un radio de 2
Área del círculo = πr²
Área del círculo = 3,14 (2²)
Área del círculo = 12.56
-Chetan K
A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money
Answer:
64
Step-by-step explanation:
J : N
5 : 3
40 : x
40×3=120
120÷5=24
24+40=64
to confirm if it's correct:
5:3
5+3=8
(5/8)×64=24
(3/8)×64=40
therefore, it's 64
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
Find the measure of the angle ACD in the given figure???
Answer:
∠ACD = 33.5°
Step-by-step explanation:
The arc length will be twice ∠ ABD,
∠ABD will equal ∠ACD because they subtend the same arc length.
3x + 7 = 2(2x - 6.5)
3x + 7 = 4x - 13
x = 20
∠ABD = (2(20) - 6.5) = 33.5
The graph of function f is shown below. Find f(-4)
Answer:
pls give the correct question the question is not correctCan someone please help me
Answer:
Q14. Percentage decrease in price of TV
= (1100-1034)r1100×100%
= 66r1100×100%
= 6%
Q15. 450r9000 × 100% = 5% discount
Answer:
Q14 - 6% decrease
Q15 - 5% decrease
Step-by-step explanation:
how to get your answers;
subtract starting value with final value
divide the sum with the starting value
multiply by 100 and round if needed
hope that helps. ♥️
Is there a proportional relationship between x and y? Explain.
Answer:
c
Step-by-step explanation:
14-11=3
12-9=3
10-7=3
8-5=3
Answer:
A
Step-by-step explanation:
It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.
Which expression does not have a solution of 14, if w = 9?
a. w + 5
b. 5 + w
c. 23 - w
d. w - 9
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220