Answer:
31
Step-by-step explanation:
Let the numbers be x and y.
"The sum of two numbers is 43." gives us the first equation.
x + y = 43
"One number is five less than three times the other number." gives us the second equation.
y = 3x - 5
Now we solve the system of two equations below.
x + y = 43
y = 3x - 5
Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.
x + y = 43
x + 3x - 5 = 43
4x - 5 = 43
4x = 48
x = 12
The first number is 12. Now we find the second number.
x + y = 43
12 + y = 43
y = 31
The larger number is 31.
Answer:
31 is greater
Step-by-step explanation:
I will solve your system by substitution.
x=3y−5;43=x+y
Step: Solve x=3y−5 for x:
Step: Substitute 3y−5for x in 43=x+y:
43=x+y
43=3y−5+y
43=4y−5 (Simplify both sides of the equation)
43+−4y=4y−5+−4y (Add -4y to both sides)
−4y+43=−5
−4y+43+−43=−5+−43 (Add -43 to both sides)
−4y=−48
(Divide both sides by -4)
y=12
Step: Substitute12foryinx=3y−5:
x=3y−5
x=(3)(12)−5
x=31(Simplify both sides of the equation)
Answer:
x=31 and y=12
31 is greater than 12
3√81\125 simplyfy these
Answer:
[tex]\frac{27}{125}[/tex] or 0.216
Step-by-step explanation:
Assuming you meant 3 × (√81) ÷ 125 =
3 × 9 ÷ 125 =
27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216
Which formula could be used to find the volume of a cube with side length equal to s?
s cubed
(6) (s squared)
s squared
(6) (s cubed)
Answer:
s cubed
Step-by-step explanation:
Formula for volume of a cube is side ^3
The volume of cube with side length s is s cubed.
What is cube?
A cube is a region of space formed by six identical square faces joined along their edges.
What is the formula for the volume of cube?The volume of cube is defined as the total number of cubic units occupied by a cube.
The Formula for the volume of cube is given by
[tex]v = a^{3}[/tex]
Where, v is the volume of cube
and, a is the side of cube.
According to the given question we have
The side length of cube is s.
Therefore, the formula for finding the volume of cube is given by
volume of cube = [tex]s^{3}[/tex]
Hence, the volume of cube with side length s is s cubed.
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Solve the inequality for x. –8x + 16 > –72 A) x 7 D) x > 11
Answer:
x < 11
Step-by-step explanation:
–8x + 16 > –72
Let's transfer the components which do not contain x to the right side and change sign of these components
-8x > -72 - 16
Now, we simplify the right side
-8x > -88
We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol
(-1/8)*(-8)x < (-1/8)*(-88)
Finally, we simplify both sides to solve this inequality
x < 11
Hope this helps!
If 40 people buy lemonade while at the
food stand, what percent of the people
bought lemonade? Illustrate on the
number line.
Answer: transforms
Step-by-step explanation:
Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display makes it easier to see that the third quartile is 14 degrees C
Answer:
A box plot would make it easier to see that the third quartile is 14 degrees C.
Step-by-step explanation:
On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.
Answer:
Box plot and dot plot
Step-by-step explanation:
Because I checked.
Follow me
get me to brainliest
Peace out
Please help with this simple attachment Extremely Easy!
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]1/12 \times 3/4[/tex]
[tex]3/48[/tex]
[tex]=1/16[/tex]
1/16 ft^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Help please with questions 1-2
15 points
Answer:
1) C)[tex]\sqrt{149}[/tex]
2) A) Yes
Step-by-step explanation:
Complete each step in the following solution.
10x + 8 = 3(x – 2)
10x + 8 = 3x ___
7x = ___
x = -2
A: 10x + 8 = 3(x – 2)
10x + 8 = 3x – 6
7x = – 14
x = -2
Step 1 : Multiplying 3 with -2, we get -6
Step 2 : Subtract -6 and 8 , we get -14
Step 3 : We get x = -2
What is an equation?"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."
Given equation
10x + 8 = 3(x – 2)
In this step by multiplying 3 with -2, we get -6
10x + 8 = 3x - 6
Subtract the variables
Subtract -6 and 8 , we get -14
7x = -6 - 8
7x = -14
Divide with 7 on both sides, we get
x = -2
Hence these are the following steps to get x = -2
Step 1 : Multiplying 3 with -2, we get -6
Step 2 : Subtract -6 and 8 , we get -14
Step 3 : We get x = -2
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90°
30
==
Help me please
Answer:
90
Step-by-step explanation:
If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.
Answer:
x = 90°
Step-by-step explanation:
Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.
Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
Answer:
C. f(x) = x4(x – a)(x – b)2
Step-by-step explanation:
just took the test on edge
A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².
How to interpret the graph?In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.
This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:
x⁴x - a(x - b)²In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².
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Please help with this
Answer:
The answer would be D
Step-by-step explanation:
Answer:
D
The triangle moved 6 units right and one unit up.
The equations of three lines are given below.
Line 1: 10x - 4y= -4
Line 2: 5y = –2x+3
2
Line 3: y = -7X-4
5
fx-4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Answer:
3
Step-by-step explanation:
Which equation matches the following graph?
Options:
y = x^2
y = -x^2
x = y^2
x = -y^2
The answer is: [tex]y=-x^2[/tex].
Hope this helps.
What is being constructed based on the markings in the following diagram?
Line AB with two points C and D on each side of the line; a circle is created with center C passing through point D, and the intersection of circle C with line AB creates points E and F such that point A is between points E and F and point F is between points A and B. Point G is not located on line AB and is on the same side as point D. A circle is created with center F and a radius of FG, and another circle is created with the same radius from point E. Points H and I are intersecting points of circles E and F, and a line is drawn through points H and I.
Inscribed regular hexagon
Inscribed equilateral triangle
Perpendicular line through a point off a line
Perpendicular line through a point on a line
Answer:
The correct option is;
Perpendicular line through a point off a line
Step-by-step explanation:
Based on the markings in the diagram, we have;
Marking points E and F along AB extended forms two points equidistant from the point C on the line AB
Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.
Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB
Hence the correct option is the construction of a perpendicular line through a point off a line.
Is (0,0) a solution to this system?
Answer:
D.
Step-by-step explanation:
If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.
Which expression can be used to convert 100 USD to Japanese yen?
100usd[99.30487yen/1usd]
100usd[1usd/99.30487yen]
100usd[0.01007yen/1usd
100usd[99.30487usd/1yen]
Answer:
a. 100usd{99.30487yen/1usd}
The pieces on a chessboard are either white or black. Of the pieces remaining on a chessboard, the probability of randomly picking a white piece is 5/12 What is the probability of randomly picking a black piece?
A. 5/12
B. 1/2
C. 7/12
D. 2/3
7/12
12/12 is the total
So 12/12 minus 5/12 is 7/12
Correct me if I am wrong
Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?
Answer:
[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]
Step-by-step explanation:
hello,
let's note a the number of novelists and
b the number of poets.
we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"
it comes 3a=5b which is the first equation
and we know that a + b = 24 "there are 24 people"
we we have two equations
(1) 3a - 5b = 0
(2) a + b = 24
let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72
let's do 3*(2) - (1) it comes
3a + 3b -3a + 5b = 72 - 0 = 72
so 8b = 72
so b = 9
and then we replace b in (2) it comes
a = 24-9 = 15
hope this helps
Given: 22 and 24 are vertical angles
Prove: Z2 Z4
Answer:
Where is the picture? Also, Im kinda confused
Step-by-step explanation:
HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU I WOULD APPRECIATE IT HOW MANY SOLUTIONS ARE THERE TO THIS NONLINEAR SYSTEM!!!! A)no solutions B)one solution C)two solutions
Answer:
B) one solution
Step-by-step explanation:
The blue line and the red line cross at only one point so there is one solution. It would be no solution if the blue line never crossed the red line and it would be two or possibly more solutions if the lines crossed more than once.
Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of the box?
192in³
275in³
37512 in³
425in³
Answer:
425 in.^3
Step-by-step explanation:
volume = length * width * height
Change all mixed numerals into decimals.
volume = 12.5 in. * 8.5 in. * 4 in.
Now use a calculator to multiply the three numbers together.
volume = 425 in.^3
A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.
Answer:
The equations are:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
Step-by-step explanation:
The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?
Answer:
10$
Step-by-step explanation:
math
Answer:
10
Step-by-step explanation:
because i know
Paul is looking at a detailed plan showing the layout of the extension with the new equipment, He knows the new oven will be 1.5 meters wide and on the plan it measures 7.5 centimeters.
What scale is used on the plan?
Answer:
Scale = 1/200 = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Step-by-step explanation:
Scale is the ratio of the original object to the drawn plan.
Scale = plan : original
Scale = plan length ÷ original length
Plan length = 7.5 centimeters
Original length = 1.5 meters = 1,500 centimeters
Substituting the values;
Scale = 7.5/1500 = 1/200
Scale = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
(1.3 x 10-2) (0.05) = ?
Answer:
=0.065x10−0.1
Step-by-step explanation:
(1.3x10−2)(0.05)
=(1.3x10+−2)(0.05)
=(1.3x10)(0.05)+(−2)(0.05)
=0.065x10−0.1
Answer: 0.55
Step-by-step explanation:
1.3 x 10= 13
13-2= 11
11 x 0.05= 0.55
BOOM! math.
The function F is defined by f(x) = 3x-5 over x+6 find f(5x)
Answer:
[tex]\frac{15x-5}{5x+6}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{3x-5}{x+6}[/tex]
To evaluate f(5x) substitute x = 5x into f(x)
f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]
At a cafe
2 teas + 1 coffee cost= £3.40
1 tea and 4 coffees cost=£7.30
Work out the cost of 1 tea and the cost of 1 coffee?
Step by step explanation, pleaseeeee
Answer:
cost of 1 tea= £1.08
cost of 1 coffee= £1.24
Step-by-step explanation:
Please see the attached picture for full solution
Solve for X (BRAINLIEST)
Answer:
x = 24
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
x 6
------ = -----------
x+8 8
Using cross products
8x = 6*(x+8)
8x = 6x+48
Subtract 6x from each side
8x-6x = 48
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
Answer:
x = 24
Step-by-step explanation:
Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.
From there, we can set up a ratio:
(x+8)/x = 8/6
Multiply both sides by x:
x+8 = 8x/6
Multiply both sides by 6:
6x+48 = 8x
Move the 6x to the right:
48 = 2x
Divide both sides by 2:
x = 24
Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
B. 4
C. 6
D. -6
O E. -3
F. -4
Answer:
B. 4
Step-by-step explanation:
Rearrange the equation so that is in the form (ax² + bx + c = 0).
6x² - 3x + 36 = 5x² + 10x
x² - 3x + 36 = 10x
x² - 13x + 36 = 0
Now, factor the equation and solve for x.
x² - 13x + 36 = 0
(x - 4)(x - 9) = 0
x - 4 = 0
x = 4
x - 9 = 0
x = 9
The solutions to the equation are 4 and 9. The correct answer choice is B.
Answer:
The answer B.4
Step-by-step explanation:
Arrange the equation so that is in the form
(ax² + bx + c = 0).
6x² - 3x + 36 = 5x² + 10x
x² - 3x + 36 = 10x
x² - 13x + 36 = 0
the equation and solve for x.
x² - 13x + 36 = 0
(x - 4)(x - 9) = 0
x - 4 = 0
x = 4
x - 9 = 0
x = 9
h = -162 +64t +960.
What is the maximum height?
Answer:
2 seconds to reach maximum height
Step-by-step explanation: