The sum of two numbers is 53 and the difference is 23. What are the numbers?

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

Answer:

She has  18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

                                      ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from

She has 3*3*2= 18 combinations to choose from

Answer:

153

Step-by-step explanation:

68+85+x =180

68+85=153

180-153=27

180-27=153

Answer:

volume = 4710 ft³

Step-by-step explanation:

base area = πr² = (3.14)(10²) = 314 ft²

volume = base area x height = 314 x 15 = 4710 ft³

Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

Answer:

[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]

Answer:

$70.20

Step-by-step explanation:

60 x 1.17 = 70.20

Answer:

D

Step-by-step explanation:

just trust me on this one

Answer:

y= -1/3x

Step-by-step explanation: use y=mx+b

m is the slope (rise over run)

x stays as x

b =  is the coordinate on the y-axis where the graph crosses the y-axis.

Answer:

a) [tex]P(B/A) = P(B)[/tex]

Step-by-step explanation:

Step(i):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

              [tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]

                     or

            [tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

 [tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]

[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

[tex]P(B/A) = P(B)[/tex]

Answer:

#3 C. Subtract 11

#4 D. Subtract 10

#5 A. Add 9

Answer:

Step-by-step explanation:

3) Subtract 11

25-11=14

42-11=31

42-11=31

50-11=39

59-11=48

4) Subtract 10

26-16=10

32-10=22

44-10=34

48-10=38

55-10=45

5) Add 9

10+9=19

22+9=31

23+9=32

24+9=33

46+9=55

Answer: [tex]\$687[/tex]

Step-by-step explanation:

Given

Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days

Money earned is $11.50 an hour

Total working hours

[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]

Money earned

[tex]=60\times 11.50=\$690[/tex]

After-tax deduction

[tex]\Rightarrow 690-3=\$687[/tex]

Answer:

Step-by-step explanation:

Answer: he drove 18.25 miles per gallon

Step-by-step explanation:

365/20=x/1

20x=365

x=18.25

Answer: {y = x + 3, y = -3 x - 1}

{x + 3 = y, 3 x + y + 1 = 0}

Step-by-step explanation:

Answer:

hello! Your answer would be, 1: B) AND 2: D)

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

We are to say whether the conclusion is valid.

Answer:

Statement is valid.

Step-by-step explanation:

We are told that One bead is placed in a bag for every member of the school orchestra.

Also that all the beads except for 2 are white. Now, each member takes a bead from the bag and those who lick the non-white will represent the orchestra.

This tells us that this is an unbiased sample because it doesn't give anyone a better chance of picking non-white as every member of the school orchestra has an equal chance since it is randomly selected.

Thus, we can conclude that the statement that two different instrument players will choose the white beads is valid because we are dealing with an unbiased and simple random sampling

3x+y=163 2x+3y=174

it should be like this {: and each point is one.

Answer:

45

Step-by-step explanation:

2.5 x 12= 30

1/2 (6) (3)= 9

1/2( 2) (6)=6

30 +9 +6 = 45

Answer:

A. 7

Step-by-step explanation:

The rest of the numbers are in the 20's and 30's. 7 is obviously a single digit number,  meaning that it is the outlier.

Answer:

63x^2-34x+3

Step-by-step explanation:

Answer: 80

Step-by-step explanation:

24 = 30%

48 = 60%

72 = 90%

24/3 = 10% = 8

72 + 8 = 80

Answer:

Y = 10

Explanation:

We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.

If I'm right, I'd appreciate a brainliest as it'd really help me out :D

Answer:

(0.1753 ; 0.2447)

Step-by-step explanation:

Using the relation :

Confidence interval :

p ± margin of error

p = 0.21

1 - p = 0.79

n = 530

Zcritical at 95% confidence level = 1.96

Margin of Error : Zcritical * sqrt[(p(1-p))/n]

1.96 * sqrt[(0.21(0.79))/530]

1.96 * 0.0176923 = 0.0346769

Margin of Error = 0.0346769

Lower boundary = 0.21 - 0.0347 = 0.1753

Upper boundary = 0.21 + 0.0347 = 0.2447

Confidence interval :

(0.1753 ; 0.2447)

Answer:

equation:   y = 5x

domain: all real numbers

range: all real numbers

Step-by-step explanation:

Answer:

The initial number of video views was more than the initial number of site visits, and the number of video views grew by  a smaller factor than  the number of site visits.  The difference between the total number of site visits and the video views after 5 weeks is  20,825

Step-by-step explanation:

the initial video view was 5120 and the initial number of site visits were 4800, so the initial video view was more than.

The video views grew by 5/4 and the number of site visits grew by 3/2, and since 3/2 is > 5/4, the video views grew by a smaller factor than the number of site visits.

the result for the video views after 5 weeks is 15,625 and the site visits after 5 weeks is 36450, so 36450-15,625=20,825

Answer:

Step-by-step explanation:

Here's proof of the answer correcto

happy earth day 2 years hehe

Answer:

the third choice is the answer.

Step-by-step explanation:

the chance of recieve a blue pen

= 0.008

the chance of recieve a blue tote bag

= 0.04

0.008 < 0.04

Answer:

4950kg

Step-by-step explanation: