Answer:
The two numbers are 40, and 27.
Explanation:
Since there are only two numbers, with two different aspects, you can just make
a system, and solve.
A sum of two numbers adding up to 67 can be modeled by: x + y = 67.
A difference of those same two numbers being 13 can be modeled by: x – y = 13.
You can add the two equations together to eliminate the y value because the -y and y will cancel out:
x + y = 67.
+ x – y = 13.
And you get: 2x = 80.
Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:
2x = 80
÷2 ÷2
x = 40.
So the first number is 40.
Since we know the first number, we can immediately find the other number by substituting it into the first equation.
x = 40 → x + y = 67
(40) + y = 67
-40. -40
Subtract from both sides to cancel the constant terms.
Then you will get that y or the second number is y = 27.
This is true because 40 + 27 = 67, and 40 - 27 = 13.
Davaughn has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters does Davaughn have?
Answer: 9 quarters and 5 dimes
Step-by-step explanation:
Carrie earns $8.50 per hour for tutoring her little brother. How many hours must Carrie tutor to earn $408?
Answer:
48 hours
Step-by-step explanation:
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Carrie earns $8.50 per hour for tutoring her little brother.
Let x be the number of hours. Then the equation is given as,
8.50x = 408
Simplify the equation, then we have
x = 408 / 8.50
x = 48 hours
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
More about the solution of the equation link is given below.
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Taylor plans to borrow $4,500 from the bank to purchase a used vehicle. If he borrows the money at a rate of 4% interest for 2 years, what is the total amount he will have to pay back to the bank?
Answer:
$4867.2
Step-by-step explanation:
What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!
Answer:
The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.
Step-by-step explanation:
The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.
Hope it helped!!
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Question 3 of 20 -
E
ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
Chrome OS. 28m)
Switched network connection
Your connection
has switched td al
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O
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Answer: most likely be (7,7) not sure right or wrong but i tried so yeah
Step-by-step explanation:
Find a solution to the system. Make sure to write as a coordinate.
Answer:
x=2, y=3
Step-by-step explanation:
This is a system of equations.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:
[tex]2*(2y-4)+y=7[/tex]
We simplify and solve for y:
→ [tex]4y-8+y=7[/tex]
→ [tex]5y=15[/tex]
→ [tex]y=3[/tex]
Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:
→ [tex]x=2*3-4[/tex]
→ [tex]x = 2[/tex]
Let me know if my explanation is unclear.
.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations
Answer:
x=4
y=5
Step-by-step explanation:
inform me if u cant open the image
Answer:
(4,5)
Step-by-step explanation:
I solved through substitution
3x+2y=22
x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3
Solving for x:
3x+2y=22
3x+2(1/2x+3)=22
3x+x+6=22
4x+6=22
4x=16
x=4
Solving for y:
x-2y=-6
4-2y=-6
-2y=-10
y=5
(4,5)
Do I add all the cost up then divide by four?
Answer:
Yeh that's what you have to do.....
Divide the total amount by four
Answer:
yes
Step-by-step explanation:
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
Learn more about triangles, Here:
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The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
How do I solve this equation?
Answer:
X = 4 X = -6
Step-by-step explanation:
X + 1 = 5 X + 1 = -5
X = 5 - 1 X = -5 -1
X = 4 X = -6
Answer:
Step-by-step explanation:
What absolute values of x will fit.
l4+1l=5
l -6+1l=5
please help , giving brainliest and a thanks!!
Answer:
E
Step-by-step explanation:
When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.
Answer:
BDE, absolute value is how far away it is from 0 so it is BD and E
Step-by-step explanation:
It says select all that apply aswell which is why there is more then one answer
ASAP PLS!! BRAINLIEST GIVIN!!
Step-by-step explanation:
( 0,4 ) is the point in the graph
Which number line correctly shows 0.8 + 0.3?
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
Find the inverse of the function y = x2 – 12.
Answer:
y = √ x+12(square root of x+12)
Step-by-step explanation:
x = y^2 - 12
x+12 = y^2
y^2 = x+12
y = √ x+12
Answer:
Question 1. Find the inverse of the function y = x2 – 12.
B. y=+/- sqrt x+12 end sqrt
Question2. Find the inverse of the function y=2x2+2
D. y= +/- sqrt 1/2x-1 end sqrt
HELP ASAP!!!!!!!!!!!!!!!!
Answer:
160
Step-by-step explanation:
20% of 800 = 0.20 * 800 = 160
Classify the following polynomials. Combine any like terms first
2-x² + 4x+x²
x – 5x²+3-2
x²-x²+x²-x²+3
7x-x² + x³+4x²
-6x-x² + 6x-4x
a. It is a binomial
b. It is a trinomial
c. It is a monomial
d. It is a trinomial
e. It is a binomial
To answer the question, we need to know what polynomials are
What are polynomials?Polynomials are algebraic expressions that contains variables and coefficients.
a.
2 - x² + 4x + x² = 2 - x² + x² + 4x
= 2 - 0 + 4x
= 2 + 4x
Since it has two terms, it is a binomial
b.
x - 5x² + 3 - 2 = x - 5x² + 1
= - 5x² + x + 1
Since it has three terms, it is a trinomial
c.
x² - x² + x² - x² + 3 = 0 + 0 + 3
= 3.
Since this contains a single term, it is a monomial
d.
7x - x² + x³ + 4x² = x³ + 4x² - x² + 7x
= x³ + 3x² + 7x
Since it has three terms, it is a trinomial
e.
-6x - x² + 6x - 4x = -6x - x² + 2x
= - x² + 2x - 6x
= - x² - 4x
Since it has two terms, it is a binomial
a. It is a binomial
b. It is a trinomial
c. It is a monomial
d. It is a trinomial
e. It is a binomial
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How many times smaller is a group of 4 coins than a group of 16 coins?
Answer:
4 times.
Step-by-step explanation:
16/4 = 4.
Hope this helped!
For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
water : sucrose : saline = 1000 : 199 : 271
Step-by-step explanation:
Given Information:
water = 1 litreProcess:
convert everything to mL (same units)1 litre = 1000 mlwater = 1 litre = 1000 mlwater : sucrose : saline = 1000 : 199 : 271Simplify the expression.
(42 − 2)2
Answer:
80
Step-by-step explanation:
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
Answer:
On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
Step-by-step explanation:
I got it right on the quiz
The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
What is probability?Probability is the possibility of happening an event.
Given that, there is a 60% probability of rain on a specific day.
Therefore, it rained 60% of the time on that day.
Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
Learn more on probabilities here:
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whats 9-7 1/4 ASAP PLEASE
Answer:
The answer is 1 3/4
Answer:
1 3/4
Step-by-step explanation:
7 1/4 + 1 3/4 = 9
Please choose my answer as the most helpful if it is. I want brainliest. :)
simplify 5/4+4(3/4−1/2)^2
Step-by-step explanation:
5/4+(12/4_1/2)^2
5/4+((12_8)/4)^2
5/4+1
9/4
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]
= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{6}{4}[/tex]
= [tex]\frac{3}{2}[/tex]
kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u
Answer:80
Step-by-step explanation:
take 20 from 100 and give them to 60.
take 10 from 90 and give to 70.
adds ut to avg 80
The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)
A=90m^2
Cost=RS.7200
I hope that helps
Answer:
this is the formula that you want
Mrs. Billings has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Mrs. Billings can buy. *
20 points
60≥22x-8
22x+8≤60
22-8x≥60
22+8x≤60
Answer:
I believe the answer is D.
Step-by-step explanation:
22= jeans 8x= 8 dollars PER shirt
All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!
Answer:
[tex] 22 + 8x \le 60 [/tex]
Step-by-step explanation:
She has at most $60, so the amount she spends is less than or equal to $60.
[tex] amount~she~spends \le 60 [/tex]
The jeans cost $22.
The shirts cost $8 each, so for x shirts, she'll pay 8x.
The total amount she spends is 22 + 8x. It must be less than or equal to 60.
[tex] 22 + 8x \le 60 [/tex]
please help me this question
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: Choice (b) 4y^2 - y - 24; top right corner
===========================================================
Work Shown:
T = total number of students in the class
T = 4y^2 + y - 8
F = number of students who play football
F = 2y+16
B = number of students who play basketball
B = unknown for now
Since a student either plays football or basketball, but not both, this means
T = F+B
which rearranges to
B = T-F
Plug in the given expressions and simplify
B = T-F
B = (4y^2+y-8) - (2y+16)
B = 4y^2+y-8 - 2y - 16
B = 4y^2 + (y-2y) + (-8-16)
B = 4y^2 - y - 24
the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars
Answer: I think its 131.19, but not too sure.
Step-by-step explanation:
To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19
Do you want the speed of both cars? then the answer would be:
(300)- first car= 128.20
(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)
Which of the following can be used to find the measure of angles
What is 31.68 - 19.55 =
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation: