Answer:
yes, 8.5 and 3.5
Step-by-step explanation:
8.5 + 3.5 = 12
8.5 - 3.5 = 5
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The two numbers are 8.5 and 3.5.
Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
3x = 4 + 3 is an equation.
We have,
Let the two numbers be M and N.
Now,
Two numbers have a difference of 5.
This can be written as,
M - N = 5 _____(1)
Two numbers sum is 12.
This can be written as,
M + N = 12 _____(2)
From (1) and (2) we get,
M - N = 5
M = 5 + N _____(3)
Putting (3) in (2)
M + N = 12
5 + N + N = 12
5 + 2N = 12
2N = 12 - 5
2N = 7
N = 7/2
N = 3.5
Putting in (3) we get,
M = 5 + 3.5
M = 8.5
We can cross-check.
M - N = 5
8.5 - 3.5 = 5 (PROVED)
M + N = 12
8.5 + 3.5 = 12 (PROVED)
Thus,
The two numbers are 8.5 and 3.5.
Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.
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A piece of glass with an initial temp of 99 degrees Celsius is cooled at a rate of 3.5 degrees Celsius per minute. Concurrently, a piece of copper with an initial temp of 0 degrees Celsius is heated at 2.5 degrees Celsius per minute. Which of the following systems of equations can be used to solve for the temp, T, in degrees Celsius, and the time, m, in minutes, when the glass and copper reach the same temp?
Answer:
T= 99 - 3.5m
T= 2.5m
Step-by-step explanation:
Find the expected value of the
random variable with the
following probability distribution:
Х
2
3
4
5
6
7
8
9
10
11
12
Р
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
[?]
Answer:
1/36 hope this helps
Step-by-step explanation:
Marla's brainlist pls
What is the value of 3/8 divided by 9/10
Answer:
0.41666666666
Step-by-step explanation:
Answer:
The value is 5/12
Judy has 2 3/4 bags of rock that she wants to use in her yard. Each bad will cover 310.2 sq ft. How many square feet will Judy be able to cover if she used all the bags of rocks? Round up your answer to the neatest tenth place.
Answer:
853.1 sq ft
Step-by-step explanation:
Total bags of rock = 2 3/4
Each bag will cover 310.2 sq ft
How many square feet will Judy be able to cover if she used all the bags of rocks?
Total Square feet covered = number of bags of rock × area covered by each bag
= 2 3/4 × 310.2 sq ft
= 11/4 × 310.2 sq ft
= 853.05 sq ft
To the nearest tenth
= 853.1 sq ft
Can someone help me with the question in the image?
Step-by-step explanation:
m< I = m < 2 = m < 3
7y+16 = 2X
7y - 2x +16 = O ............I
7y +16 = 4X _30
7y -4 x + 46 = 0 ...............2
solve eq I,2
2 X - 30= o
X= 15
substitute in I
7X= 14
y = 2
???? If you know it, put it down below :)) thanks!
Answer:
66
Step-by-step explanation:
You are at a fruit stand to get some fresh produce. You notice that the person in front of you gets 5
apples and 4 pears for 10 dollars. You get 5 apples and 5 pears for 11 dollars. Write a system of
equations that could be used to find the price of an apple and the price of a pear.
Answer:
[tex]5A + 4P = 10[/tex]
[tex]5A + 5P = 11[/tex]
1 apple costs $1.2
1 pear costs $1
Step-by-step explanation:
Represent Apples with A and Pears with P
For the person in my front, the expression is:
[tex]5A + 4P = 10[/tex]
For me, the expression is
[tex]5A + 5P = 11[/tex]
Hence, the system of equation is:
[tex]5A + 4P = 10[/tex]
[tex]5A + 5P = 11[/tex]
Solving for the values of A and P.
Substract equation (2) from (1)
[tex]5A - 5A + 4P - 5P = 10 - 11[/tex]
[tex]-P = -1[/tex]
[tex]P = 1[/tex]
Hence, 1 pear costs $1
Substitute 1 for P in [tex]5A + 4P = 10[/tex]
[tex]5A + 4 * 1 = 10[/tex]
[tex]5A + 4 = 10[/tex]
[tex]5A = 10 - 4[/tex]
[tex]5A = 6[/tex]
[tex]A = \frac{6}{5}[/tex]
[tex]A = \$1.2[/tex]
Hence, 1 apple costs $1.2
2 cartons of juice in the month of January. In the month of February, she drank twice as many cartons of juice as in
January. How many cartons of juice did she drink in February?
Answer:
She drank 4 cartons in February.
Step-by-step explanation:You multiply 2x2 because it doubles.
Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?
Answer:
The answer actually is 96
Step-by-step explanation:
A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
f(x)= ?
Answer:
f(x)=-4x+-2
Step-by-step explanation:
Slope intercept form: f(x)=mx+b
m=slope=[tex]\frac{rise}{run}[/tex]
b=y-intercept=y value when x=0
What is 230% of 90?
A 207
B 237
C 320
D 227
Answer:
207 or option a is the answer
Answer:
Option A) [tex]207[/tex]
Step-by-step explanation:
[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:
[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]
[tex]= 207[/tex]
∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].
Hope this helps :)
The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x2 - 6. Write a rule for g. Then identify the vertex.
The vertex is
Answer:
f(x)=8x^2-6
f(x) = a (x -h)2 + k
horizontal stretch by a factor of 2 -> 1/2 x
2 units up -> k = 2
reflection in y axis -> x value is negative
g(x) = 8*(1/2 x)2 - 6 + 2
g(x) = 2 x2 -4
Step-by-step explanation:
The vertex will be at g(x) = 2x² -4.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that the graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x² - 6.
f(x)=8x²-6
f(x) = a (x -h)2 + k
Horizontal stretch by a factor of 2 -> 1/2 x
2 units up -> k = 2
Reflection in y axis -> x value is negative.
g(x) = 8 x (1/2 x)² - 6 + 2
g(x) = 2x² -4
Therefore, the vertex will be at g(x) = 2x² -4.
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If someone gives the correct solution will give brainiest and a lot of points.
The Domain is correct.
Answer: x = 0.1 and x = 1
Step-by-step explanation:
Answer:
x = 9Step-by-step explanation:
3 log₃ₓ x = 2 log₉ₓ x²3 log x / log 3x = 4 log₉ₓ x3 log x / log 3x = 4 log x / log 9x3 log 9x = 4 log 3x3 log 9 + 3 log x = 4 log 3 + 4 log xlog x = 3 log 9 - 4 log 3log x = 3 log 9 - 2 log 9log x = log 9x = 9-2x + 4 < 16
Help me please I didn’t pay attention
Answer:
I think it’s done like this, I’m not sure
First, collect the like terms
-2x<16-4
-2x<12
x<12/-2
x<-6
So, you substitute -6 instead of x to find which is greater
12+4<16
16<16
Which makes it false
Step-by-step explanation:
I hope I explained well, please give me brainliest
The solution of the inequality - 2x + 4 < 16 will be;
⇒ - 6 < x
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 2x + 4 < 16
Now,
Solve the expression as;
⇒ - 2x + 4 < 16
Subtract 4 both side, we get;
⇒ - 2x + 4 - 4 < 16 - 4
⇒ - 2x < 12
Divide by 2 , we get;
⇒ - x < 6
Multiply by - 1, we get;
⇒ x > - 6
⇒ - 6 < x
Thus, The solution of the inequality - 2x + 4 < 16 will be;
⇒ - 6 < x
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I have 2 questions
Transform the equation.
Stretch y=5x by a factor of 3
What is the transformed equation?
Transform the equation.
Shift y=5√x+5 horizontally, 5 units to the right and a stretch by a factor of 4
What is the transformed equation?
Answer:
1. I assume that stretching vertically by factor of 2 means that every point on the transformed curve is twice as far from the x axis as the original curve.
Imagine that you have plotted y=5x. you want to change the y scale so that each point on the original curve is two times as high. For example, one point on the original curve is (1,5). This point must be relocated to (1,10). Similarly, the point (2,10) on the original curve must be relocated to (2,20).
You can see that these relocations are accomplished if we transform the function to y=2(5x)=10x.
Step-by-step explanation:
hope this helps! even though it's just the first one...
Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+
Answer:
Probably the last one but the numbers are kind of jumbled up so...
Step-by-step explanation:
Have a good day
Can yall help me on this?
Answer:
y = 3x - 2
Step-by-step explanation:
Step 1: Look at the "y" axis and see what it is going through (-2)
Step 2: Check if the line if a positive slope or a negative slope (positive)
Step 3: Since we now know this is a positive slope, it cancels out "D" and "A".
Step 4: This would not be B because the rise is "1" and the run is "3"
Final Ansr: "C" because the rise is "3" and the run is "1" with a "-2" y-intercept.
please I need help I will mark brainiest
Answer:
sorry i looked and i tried, but i dont know the answer.
Step-by-step explanation:
ILL GIVE BRAINLIEST!!
What is the reciprocal of x^3 and a^2
Answer:
a) [tex]\frac{1}{x^3}[/tex]
b) [tex]\frac{1}{a^2}[/tex]
Step-by-step explanation:
Reciprocal of a number is 1 divided by that number
We need to find reciprocal of x^3 and a^2. To find the reciprocal we will do is: 1 divided by the given number
a) Reciprocal of x^3
[tex]=\frac{1}{x^3}[/tex]
b) Reciprocal of a^2
[tex]=\frac{1}{a^2}[/tex]
Add
to each side x2 - 8x = 9 to complete
the square.
Answer:
the correct answer is 16
Step-by-step explanation:
Add ⇒ 16 to each side x2 – 8x = 9 to complete the square.
I NEED HELP ASAP!!!!!
Answer:
x actually = 13 and its step 2
Step-by-step explanation:
Someone please help me!
Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.
Answer:
Leslie is NOT correct
Step-by-step explanation:
Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C
I hope this helps!
how to write this numbers in word 23.13
Answer:
twenty three and 13 hundredths
Answer:
Twenty three point thirteen
What is 8 times 5 times 6 times 21
Answer:
5040
Step-by-step explanation:
multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times
Jim wants to put carpet in four identical rooms. Each room is 14 ft by 20.5 ft. A
roll of carpet will cover 200 square feet. How many rolls will he need? *
3 rolls
4 rolls
5 rolls
6 rolls
Answer: Jim will need 6 rolls
Step-by-step explanation: 14*20.5 is 287 I rounded 287 to 300 and then muttplied 300 by 4 and got 1200 that would be 6 rolls
What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2 - 2 + 43
A.Multiply 3.1 and 6.2.
B.Add 2 and 43
C.Subtract 3.1 from 12.9.
D. Subtract 2 from 6.2.
Answer:
C. Subtract 3.1 from 12.9
Hope it helped
please help . imagine ^^
Answer:
A
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D
eric is twice as old as june. the sum of their ages is 57. how old is june.
Answer:
19
Step-by-step explanation:
2x + x = 57
3x = 57
x = 19
Check:
2 times 19 = 38
38 + 19 = 57