The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answers
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
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Related Questions
can someone please help me and not jsut want points ebcause i relaly need help..
y=9x
y=2x+63
Answers
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answers
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =
Answers
Answer: 5x2-2x-7
Step-by-step explanation:
(4x2 + 3x - 1) + (x2 - 5x - 6)
=4x2+3x-1+x2-5x-6
=5x2-2x-7
Genies is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/3 batches. Write an equation that can be used to find how many cups of flour genies will need
Answers
Equation: (1 2/3)(2 1/3) = x
Answer: 3 8/9 cups
Step-by-step explanation:
x represents the amount of flour she will need in cups.
To solve, convert the mixed numbers to improper fractions and multiply...
1 2/3 becomes 5/3
2 1/3 becomes 7/3
Now we have
(5/3)(7/3) = x
35/9 = x
35/9 is 3 8/9 as a mixed number
the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?
Answers
Answer:
325 boys
Step-by-step explanation:
The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.
Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school
I need help if correct I will mark you
Answers
Step-by-step explanation:
option 1: 15+15+15=45
option 2: 50 usd
you tell me which is better
please help me I want to get a good grade so my mom can appreciate me :D!
Answers
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
find the length of x
help please i need it asap
Answers
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIWhelpppppppppppp meee
Answers
Answer:
-8
Step-by-step explanation:
Plz give brainliest
i dont have any
Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:
First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112
First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128
Answers
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Step-by-step explanation:
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
57°, 68°, 32°, 59° and 72°.
Answers
Answer:
=72
Step-by-step explanation:
57+68+32+59+72=288
360-288=72
Perimeter = 26 yards
Answers
Answer:
There isn’t a answer
Step-by-step explanation:
Where is the question? I’ll edit the message if there is something that needs to be solved otherwise this doesn’t make sense.
The slope of the line below is 3. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.
(-1,1)
-5
5
-5
Answers
Answer:
The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the point is given by [tex](x_0,y_0)[/tex] and m is the slope.
The slope of the line below is 3.
This means that [tex]m = 3[/tex]
(-1,1)
This means that [tex]x_0 = -1, y_0 = 1[/tex].
Equation of the line:
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 1 = m(x - (-1))[/tex]
[tex]y - 1 = m(x + 1)[/tex]
The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]
A line includes the points (1,9) and (4,24). What is the equation in slope-intercept form?
Answers
Answer:
y = 5x+4
Step-by-step explanation:
The slope-intercept form of an equation is like this:
y= mx+bM stands for the slope and b for the y-intercept.
First, we need to find the slope:
m= slope= y1-y2/ x1-x2m= slope= 9-24/1-4m= 5Now we know: y= 5x+b
Now, to find b we have to choose one of your points. Let's use the first given point: (1, 9)
With the slope-intercept form equation I showed before, substitute x and y with the values of one point.
9= 5(1)+b9= 5+b9- 5= 5-5+b4= bSubstitute the b in the equation, and that's your answer:
y= 5x+4Find the area of the white region in the diagram shown.
Answers
Answer:
Option 4
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the shaded triangles
Area of the circle = πr²
r = Radius of the circle
Therefore, area of the circle = π(4)²
= 16π
Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= Base × Height
= (4 × 4)
= 16
Area of the shaded region = 16π - 16
Option 4 will be the correct option.
What is the vertical distance from the origin to the point (8, 1)?
Answers
Answer:
The vertical distance is 1.
Explanation:
Coordinates are structured as ( x , y )
The "x" is horizontal and the "y" is vertical, when placed onto a graph.
In the question, 8 is "x" and 1 is "y". Meaning the vertical number is 1.
can someone please help me? I really need help
Answers
Answer:
x=49
<A=90
<E=147
Step-by-step explanation:
How -15 + 8 gives me 7 ????????
Answers
it gives you -7
because when you add 8 to negative 15, you’re just basically subtracting it to give you -7
Answer:
It gives you -7
Step-by-step explanation:
Think of the problem as 8 - 15, because 8 is a smaller number and 15 is bigger, you'll get a negative number.
The next step is use the rule**a-b = -(b-a)**which is - (15 - 8)
Then when you simplify it, it will be - (15 - 8)= - 7**(which is the answer)
Hope this helps:)
Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term
Answers
Answer:
the second choice
Step-by-step explanation:
Use the diagram to complete the statement!
Due in 10 min! Please help!
Will give brainliest!
Answers
Answer:
m>NQR=30°
m<LNS=61°
RQ=7
Step-by-step explanation:
m>NQR=180-89-61=30°
m<LNS=61°
RQ= 8/4=x/3.5 = 7
A merry go around has a radius of 18 ft. If a passenger gets on a horse located at the edge of the wheel and travels 38ft, find the angle of rotation to the nearest degree
Answers
Answer:
121 degrees
Step-by-step explanation:
Given
Radius r = 18ft
Length of the arc = 38ft
Required
angle of rotation
Using the formula
Length of an arc = theta/360 * 2πr
Substitute the given data
38 = theta/360 * 2π(18)
38 = theta/360 * 113.04
theta/360 = 38/113.04
theta/360 = 0.33616
theta = 0.33616 * 360
theta = 121.02
Hence the angle of rotation to the nearest degree is 121 degrees
help please , i need it asap ! ty
Answers
Answer:
7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5
8. An isosceles triangle includes two 56' angles. Which equation could be
used to find the measure of the third angle?
Answers
Answer:
B. x=180-2(56)
Step-by-step explanation:
Isosceles triangles have 2 angles of equal measure and 1 different measure. we add both measures or multiply them by 2 and then subtract them from 180 (sum of all angle measurements in a triangle) to find the missing measure
7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP
Answers
Answer: Hello, there! Your Answer is Below^^
7.O2 Would be The Correct Answer.
Step-by-step explanation:
So I Subtracted 20 - 12.98 And Got the Answer $ 7.02
To Add Or subtract Decimals Here's what you can do to find your Answer
Line up the numbers vertically so that the decimal points all lie on a vertical line.
Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.
Hope this Helps!!
Have a great day!!!
A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover? 7ft 14ft
Answers
Answer:
The anser is 14 times 7 = 98ft
Step-by-step explanation:
-67.2-61.5−67.2−61.5
Answers
Answer:
-257.4
Step-by-step explanation:
-257.4 trust meh
Answer:
-257.4
mark as brainliest
Kelly purchased a t-shirt
for 9.99 and a pair of
jeans for $21.50. The
sales tax rate is 8.25%.
What was the total cost
of Kelly's purchase
(including sales tax)?
PLEASE HELP
Answers
Answer:
34.09
Step-by-step explanation:
Answer: $34.09
Step-by-step explanation:
1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answers
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
QUESTION 5 of 10: Throughput is the number of units a machine or process can produce in a given time. Cycle time is the time to produce
one unit. If the cycle time of your machine is 35 seconds and it runs 24/7, what is the throughput for a year period?
O a) 901,029
Ob) 969,623
c) 1,180,336
d) 1,173,322
Answers
9514 1404 393
Answer:
a) 901,029
Step-by-step explanation:
The production volume for 1 year is ...
1 unit/(35 s) × (3600 s)/(1 h) × (24 h)/(1 day) × (365 day)/(1 year)
= 3600×24×365/35 unit/year = 901,029 unit/year
What makes an equation false?
Answers
Answer:
When ever you can’t solve it it considered false like 4 - 12
Step-by-step explanation: