Answer:
30,19
Step-by-step explanation:
let the numbers be x and y,x>y
x+y=49
x-y=11
add
2x=60
x=60/2=30
30+y=49
y=49-30=19
Answer:
x = first number = 30 and y = second number = 19
Step-by-step explanation:
let the first number be x and second number be y.
According to the given information
The sum of the two numbers is 49
Here, we get the equation.
x + y = 49
Now, Similarly second given information
the difference is 11.
Here, we get the equation.
x - y = 11
Now,
Step 1:
Name the equations
x + y = 49 ...(1)
x - y = 11 ...(2)
Step 2:
Now,
From equation (1) we get,
x = 49 - y
Substitute the value of x = 49 - y in equation (2) we get,
x - y = 11
i.e.,
49 - y - y = 11
49 - 2y = 11
-2y + 49 = 11
2y - 49 = - 11
2y = 49 - 11
2y = 38
y = 38/2
y = 19
Step 3:
Now,
Put the value of y = 19 in equation (1), we get.
x + y = 49
i.e.,
x + 19 = 49
x = 49 - 19
x = 30
Thus, The value of x = first number = 30 and y = second number = 19
VERIFICATION:30 + 19 = 49
30 - 19 = 11
An airplane is 32,000 feet above the ground begins descending at a rate 2,500
feet
per minute. Write an equation to model the situation. *
Answer:
32000-2500x, let x equal number of minutes.
Step-by-step explanation:
Answer:
[tex]y=-2,500x+32,000[/tex]
Step-by-step explanation:
x is the rate of the elevation per minute, so -2,500 feet every minute. And 32,000 is the start elevation.
A line and two points are guaranteed to be coplanar if:
A. they don't lie in the same plane.
B. they lie in the same plane.
C. one point and the line are coplanar.
D. they are near each other.
Answer:
b
Step-by-step explanation:
ape x
Answer:
B. They lie in the same plane.
Step-by-step explanation:
Got Correct On ASSIST.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
I think the awnser should be A
Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!
Answer:
25 million mosquitoes
Step-by-step explanation:
maximum possible number = 25
Is y a function of x ?
Answer:
We know that y is a function of x because for each x-coordinate there is exactly one y-coordinate. If we draw a vertical line across the plot of the function, it only intersects the function once for each value of x. That is true no matter where the line is drawn.
Step-by-step explanation:
hope this helps you :)
Help needed.......................
Answer: 7x^2+3y^2-4x
Choose the first option
Step-by-step explanation:
Ok, so let me show you how to do this.
First, distrubute the negative sign
12x^2-11y^2-13x-(5x^2-14y^2-9x)=
12x^2-11y^2-13x-5x^2+14y^2+9x
Now combine like terms
(12x^2-5x^2)=7x^2
(-11y^2+14y^2)=3y^2
(-13x+9x)=-4x
7x^2+3y^2-4x is the answer.
Some students spend these amounts in a cafe. £2.50, £3, £1, £4, £0.50,
£3, £1, £1, £2.50, £1. What is the range of the data?
Step-by-step explanation:
For finding range we will arrange it from least to greatest
0.50 1 1 1 1 2.50 2.50 3 4
So range = 4 - 0.50 = 3.50
Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options.
Answer: First option
Step-by-step explanation:
Answer:
The correct answer is A. 8 feet by 4 feet by 3 feet & E. 3 feet by 5 feet by 7 feet
Step-by-step explanation:
Hope this helps! Have a great rest of your day/night! :)))
RS = 6(x-2) + 6 and RT = 4(2x-6)
5.2 Bisectors in Triangles
10
9
12
15
PLEASE HELP
What type of line is the graph of 4x + y=-3?
1) Vertical
2) Horizontal
3) Rising
4) Falling
Answer: Falling
Step-by-step explanation:
Once you rearrange this equation into y-intercept form and you get y = -4x-3, you then graph the line and the line appears to be decreasing down.
I need help ASAP can someone please help me right away
Answer:
0 degrees?
Step-by-step explanation:
It looks perfectly even to me
12. Determine the rule of the quadratic functionſ
given the following information:
• When f(x) = ax^2+ bx+c, b2 = 4ac
• f(x) bigger than or equal to 0 for XER
• f(x) has an axis of symmetry of x = -5
• f(-1)=4
Answer:
f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄
Step-by-step explanation:
b² = 4ac, so the discriminant is 0. That means the quadratic has a repeated root, which is the vertex.
f(x) has an axis of symmetry of x = -5. That means the x-coordinate of the vertex is -5.
So f(x) = a (x + 5)².
f(-1) = 4, so the value of a is:
4 = a (-1 + 5)²
4 = 16a
a = ¼
The function is f(x) = ¼ (x + 5)². Converting to standard form:
f(x) = ¼ (x² + 10x + 25)
f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄
After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther ? How much father?
Answer:
Marcus; 1.25 km
Step-by-step explanation:
Marcus ran farther than Cindy because 3.2 km is greater than 1.95 km.
How much farther is:
3.2 - 1.95 = 1.25 km
He ran 1.25 km farther than Cindy.
The person who ran further is the person who ran more kilometers.
The person who ran more kilometers is Marcus which means that Marcus ran farther.
The distance he ran farther by is:
= Distance Marcus ran - Distance Cindy ran
= 3.2 - 1.95
= 1.25 km
In conclusion, Marcus ran farther by 1.25 km.
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Which electron configuration represents the electrons of a sulfur atom in an excited state? Choice number 2 (1) 2-6-6 (3) 2-8-4 (2) 2-7-7 (4) 2-8-6 I NEED HELP FAST
Answer:
(3) 2-8-4
Step-by-step explanation:
Sulphur has an atomic number of 16
sulphur can exist in 3 different excited states of +2, +4 and +6
electronic configuration of sulphur is 2,8,6
when excited, it loses 2 electrons to enter the +2 state
in the +2 state, the electronic configuration will be 2,8,4
Michael is 4 times as old as Brandon and is also 27 years older than Brandon. Please answer CORRECTLY !!!! Will mark brainliest !!!!!!
Answer:
108
Step-by-step explanation:
Mike's current age, be M
Then Brandon's is: M - 27
Also, M = 4(M - 27)
M = 4M - 108
M - 4M = - 108
- 3M = - 108
Mixed Review for Finding Slope
Calculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)
Answer:
1) slope of the line [tex]m = \frac{1}{4}[/tex]
2) slope of the line [tex]m = \frac{11}{8}[/tex]
3) slope of the line m =2
4) slope of the line [tex]m = \frac{-8}{3}[/tex]
5) slope of the line m =7
Step-by-step explanation:
1)
Given points are (4,5) and (-4,3)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{3 - 5 }{-4-4 } = \frac{-2}{-8} = \frac{1}{4}[/tex]
[tex]m = \frac{1}{4}[/tex]
2)
Given points are (-2,-4) and (6,7)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{7 - (-4) }{6-(-2) } = \frac{11}{8}[/tex]
[tex]m = \frac{11}{8}[/tex]
3)
Given points are (2, -4) and (10,12)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{12 - (-4) }{10-(2) } = \frac{16}{8} =2[/tex]
[tex]m = 2[/tex]
4) Given points are
(1/2,2) and (1, 2/3)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{\frac{2}{3} - (2) }{1-(\frac{1}{2} ) } = \frac{\frac{-4}{3} }{\frac{1}{2} }[/tex]
[tex]m = \frac{-8}{3}[/tex]
5)
Given points are
(1/4,5) and (5/4 , 12)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{12-5}{\frac{5}{4} -\frac{1}{4} } = \frac{7}{\frac{4}{4} } = 7[/tex]
[tex]m = 7[/tex]
Which graph best represents the linear function y = 3x -1
Answer:
c
Step-by-step explanation:
Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21comic books. What is the ratio of sci-fi novels to comic books?
Answer:
The answer is 4:21
Step-by-step explanation:
HELP PLEAES I NEED IT NOW
Square tiles (12 inches by 12 inches) are used to cover a rectangular countertop containing 40 square feet. How many tiles are needed to cover the countertop?
Answer:
40 square feet tiles.
Step-by-step explanation:
It may help to have a visual. Anyways, if the countertop contains 40 square feet, that means the area is 40 square feet. Keep in mind that 12 inches = 1 foot. So if we have 1 foot squared tiles and we need to find how many tiles it takes to cover the countertop, we use division. 40 square feet ÷ 1 square feet tiles = 40 square feet tiles.
Answer:
It would take 40
Step-by-step explanation:
12 inches = 1 foot
1 foot by 1 foot square tiles
And 40 square feet so
1 x 40 = 40
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
YEAR 9 MATHS PLEASE HELP ME
The pictures are in order - first being dwayne's and second being ivor's Dwayne Pipes uses this formula to work out the cost of a plumbing job in pounds.
Ivor Wrench uses this formula to work out the cost of a plumbing job in pounds. A job of x hours costs the same with Dwayne and Ivor.
Set up and solve an equation to work out x .
X=.........
The solution is: x = 10/3 hours
What is the equations with one variable?
An equation with one variable is a mathematical statement that involves an unknown quantity represented by a letter, usually x, and an equal sign, where the expressions on both sides of the equal sign have the same value.
We need to set up an equation using the given information to solve for x.
Let's start with Dwayne's formula:
Cost = 30x + 50
And Ivor's formula:
Cost = 45x
Since a job of x hours costs the same for both Dwayne and Ivor, we can set their formulas equal to each other:
30x + 50 = 45x
Simplifying and solving for x:
50 = 15x
x = 50/15
x = 10/3 hours
Therefore, the solution is: x = 10/3 hours
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6+9 is same to. This question is tricky
Thanks
Answer:
9+6
Step-by-step explanation:
6 + 9 is similar to 9+6 because they both equal 15
Answer:
[tex]15[/tex]
Step-by-step explanation:
[tex]6 + 9 = 15[/tex]
For and example ,u have 6 apples with you and your friend gave more 9 apples to you. Now think how many apples are there with you. there are 15 apples.
hope this helps
brainliest appreciated
good luck! have a nice day!
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase 100 of the original number of responses
Answer:
125%
Step-by-step explanation:
Since we already know that there was an increase of 100 responses, we have to divide 100 by 80 and multiply by 100:
100/80 * 100
= 125%
There was a 125% increase in the number of responses.
Answer:
125%
Step-by-step explanation:
Edg. 2020
Which statement is true for the vertical number line?
Answer:
a is correct
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because -4 4/5 is FAR below 4 2/5
You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What is the probability you reach in and pull out: a. one of each? b. 4 Honey Crisps c. 2 G. Smiths & 1 R. Delicious Please help I am really confused and my teacher won’t respond to my email
Answer:
a. Probability of Pulling one of each = 0.03175
b. Probability of Pulling 4 Honey Crisp = 0.001797
Probability of 2 G.Smith = 0.1144
Probability of 1 Red Delicious = 0.4559
Step-by-step explanation:
Given
Granny Smiths = 23
Honey Crisp = 14
Red Delicious = 31
Required
- Probability of Pulling out one of each
- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious
First, the total number of apple needs to be calculated.
Total = Granny Smiths + Honey Crisp + Red Delicious
Total = 23 + 14 + 31
Total = 68
Probability of Pulling 1 of each
= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)
- Granny Smiths;
This is calculated by dividing number of Granny Smiths apples by total number of apples.
Probability = 23/68
Similarly,
Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total
Probability = 14/68
Probability = 7/34
Probability of Pulling Red Delicious = Number of Red Delicious divided by total
Probability = 31/68
So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68
Probability = 4991/157216
Probability = 0.03175
Probability of Pulling out 4 Honey Crisp;
= P(Honey) * P(Honey) * P(Honey) * P(Honey)
= (P(Honey))⁴
= (7/34)⁴
= 2401/1336336
= 0.001797
Probability of Pulling 2 Granny Smiths;
= P(Granny) * P(Granny)
= (P(Granny))²
= (23/68)²
= 529/4624
= 0.1144
Probability of 1 Red Delicious
= number of red delicious divided by total
= 31/68
= 0.4559
Can someone help me with this ASAP please 50 points!!!
Answer:
a = 17 sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite / hypotenuse
sin 45 = 17/a
Multiply each side by a
a sin 45 = 17
Divide each side by sin 45
a = 17 / sin 45
a = 17 / ( 1 / sqrt(2))
a = 17 sqrt(2)
What is the value of (16^3/2)^1/2 256 8 4096 64
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know that a^ b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Now rewriting 16 as 2^4
2^4^3/4
2 ^ (4*3/4)
2^3
8
A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x =
The input value for which f(x) = g(x) is true is -1
The formula for calculating the equation of a line is expressed as:
[tex]y=mx+b[/tex]
m is the slope
b is the y-intercept
For table 1,
Get the slope:
[tex]Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0[/tex]
Use the coordinate (-2, 3) and m = 0 to get the value of "b"
[tex]y=mx+b\\3 = 0(-2) + b\\b = 3[/tex]
The required function for table 1 is f(x) = 3
For table 2:
Get the slope:
[tex]Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1[/tex]
Use the coordinate (-2, 4) and m = -1 to get the value of "b"
[tex]y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2[/tex]
The required function for table 2 is g(x) = -x + 2
If the function f(x) = g(x), hence:
-x + 2 = 3
-x = 3 - 2
-x = 1
x = -1
Hence the input value for which f(x) = g(x) is true is -1
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Answer: -1
Step-by-step explanation:
Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and the length of side Z X is n minus 2.
Answer:
The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.
Step-by-step explanation:
The lengths of the sides of the triangle XYZ are as follows:
XY = n + 4
YZ = 2n
ZX = n - 2
According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.
Then,
XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3
YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2
ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3
It is provided that n ≥ 5.
Then the sides of the triangle are:
XY = n + 4 ≥ 5 + 4 = 9
YZ = 2n ≥ 2 × 5 = 10
ZX = n - 2 ≥ 5 - 2 = 3
So, the longest side of the triangle is YZ. And the shortest side is ZX.
The largest angle of a triangle is opposite to the longest side.
The angle opposite to YZ would be X. So, the largest angle is ∠X.
The smallest angle of a triangle is opposite to the shortest side.
The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.
Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.
HELP!
Consider the below equation:
0.5x-7= sqrt(-5x+29)
Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.
Answer:
The answer to this question can be described as follows:
Step-by-step explanation:
Given equation:
[tex]\bold{0.5x-7= \sqrt{(-5x+29)}}[/tex]
As in the given question the two ways to solve the equation can be defined as follows:
First way:
Let square the above-given equation then we will get:
[tex]\to (0.5x-7)^2= (\sqrt{(-5x+29)})^2\\\\\to (0.5x)^2 +7^2-2\times 0.5x\times 7= -5x+29\\\\\to 0.25x^2 +49- 7x= -5x+29\\\\\to 0.25x^2 - 7x+5x +49-29=0\\\\\to 0.25x^2 - 2x+20=0\\\\[/tex]
The calculated equation doesn't have any like term that's why it can't be factorised.
Second way:
after calculating the equation that is [tex]0.25x^2-2x+20=0[/tex], it graph is given in attachment please find.
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen, and King only)?
A. 1/13
B. 1/4
C. 9/52
D. 3/13
Answer:
D, 3/13 simplified from 12/52
Step-by-step explanation:
the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !
BE SAFE !!!! HOPE THIS HELPS!!!!
<3 <3 <3 <3 <3
The probability that the card drawn is a face card is 3/13.
Option D is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
There are 3 face cards.
Number of jack = 4
Number of queen = 4
Number of king = 4
Total number of cards = 52
The probability that the card drawn is Jack.
= 4/52
The probability that the card drawn is Queen.
= 4/52
The probability that the card drawn is King.
= 4/52
The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52
= 3 x 4/52
= 3 x 1/13
= 3/13
Thus,
The probability that the card drawn is a face card is 3/13.
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