1. This system of equations has: y = 3x + 4
y = -X
A One Solution
B. Infinitely Many Solutions
C. No Solutions

Answer:

[tex]x = \{3,4,5\}[/tex]

Step-by-step explanation:

Given

[tex]3x + 4 > 10[/tex]

[tex]x < 6[/tex]

Required

Solve

We have:

[tex]3x + 4 > 10[/tex]

Collect like terms

[tex]3x > 10 - 4[/tex]

[tex]3x > 6[/tex]

Divide by 3

[tex]x > 2[/tex]

So, we have:

[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)

This implies that:

[tex]x = \{3,4,5\}[/tex]

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Answer:

so the 2 questions i see are surveys so... you have to answer them with truth on your own self

Step-by-step explanation:

Answer:

hi i am the person that you are talking to with all the comments give him brainliest

Step-by-step explanation:

Answer:

C

D

Step-by-step explanation:

there's nothing to explain here. just basic

Answer: C

Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.

Answer:

4.125 hours

Step-by-step explanation:

Trapezoid shaped lawn :

Bases : 90 ; 126 ; height = 90

Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height

Area of trapezium = 1/2(90 + 126) * 75

Area = 108 * 90 = 8100 feets

Triangular lawn :

Height = 80 feets ; Base = 105 feets

Area of triangle = 1/2 base * height

Area = 1/2 * 80 * 105 = 4200 feets

Rectangular lawn :

Length = 120 feets ; width = 90 feets

Area of rectangle = Length * width

Area = 120 * 90 = 10800 feet²

Area of all 3 lawns = (8100 + 4200 + 10800) = 23100

In 2 hours ; Herbert can now (160 * 70) = 11200 feets

23100 / 11200 = 2.0625

Tine required to mow all three lawns :

2 hours * 2.0625 = 4.125 hours

= 4 hours, 7 minutes, 30 seconds

Answer:

Angle 4 is ∠A

Step-by-step explanation:

Cos(A) = adjacent / hypotenuse

=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)

=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)

=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)

=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)

Therefore; Angle 4 is ∠A

Hope this helps!

Answer:

Can't type the Full solution

I'll solve for the triangle with angles 1 and 2

You can go for the rest.

CosA = 0.28

Taking the cos-¹(0.28) to determine its Magnitude

A=73.74°

Now

We can use sine Rule to get the values of each of the other angles in the triangle

For the first triangle

Applying sine rule

What basically happens in the rule is... Each side divided by the angle opposite it.

Look below

The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°

We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)

So

Each side over the angle opposite it

We go!!

Let's call angle "2" an alphabet. Say Q

41/sin90 = 40/SinQ

SinQ = 40sin90/41

Recall sin90=1

SinQ = 40/41

Q= Sin-¹(40/41)

Q= 77.32°

so angle 2 is 77.32°

Now apply this to get others

Angle '1' should be 12.68°

Angle "3" should be 16.26°

Angle "4" should be 73.74°

Therefore

conclusion

Angle "4" is same as A. That's the angle we looking for

Option 4 IS CORRECT!!

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

3.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 103

Step-by-step explanation:

In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).

Answer:103 degrees

Step-by-step explanation:

Straight line equals 180 degrees

180 degrees minus 77 degrees = 103 degrees

Answer:

45

Step-by-step explanation:

Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.

2×15= 30

3x15= 45

Answer:

Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes

Step-by-step explanation:

Answer:

1,156 I think that’s right

Step-by-step explanation:

Answer:

A - B - C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

By intersecting chords theorem:

[tex]12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4[/tex]

There are only two possible outcomes in the table that satisfy x ≤ -3; either x = -5 or x = -3. Then

P(x ≤ -3) = P(x = -5) + P(x = -3) = 0.17 + 0.13 = 0.3

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

(x + 7) (7) = (15 + 6) (6)

7x + 49 = (21) (6)

7x + 49 = 126

7x = 77

x = 11

Hope this helps!

Answer:

[tex]3\sqrt{3}[/tex] = a

Step-by-step explanation:

We can solve this in 2 ways, The easier way would be:

Tan(60) = a/3

=> Tan(60) * 3 = a

=> [tex]3\sqrt{3}[/tex] = a

Hope this helps!

Answer:

-6 2/3

Step-by-step explanation:

Answer

 - 6   2 / 3

Step-by-step explanation:

answer is - 6  2/ 3

Answer:

0.73

Step-by-step explanation:

cost per meter for a roll of paper = total cost / total meter of rolls sold

Supplier x = 18.98 / 25 = 0.76

Supplier y = 21.89 / 30 = 0.73

supplier z = 29.59 / 40 = 0.74

the lowest per unit cost is 0.73

Answer:

1. C. 52.51 cm3

2. C. 78.5 in3

3. A. 661.83 ft3

Step-by-step explanation:

just finished the quick check

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

The solution is, ordering the IQR in descending order :

Emma, Sally, Olivia

The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.

here, we have,

Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;

Writing out each score on the dot plot to calculate the statistical values :

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (5th + 6th) terms

Q1 = (9 + 9) / 2 = 9

Q3 = 3/4(n+)th term

Q3 = (12 + 13) ÷ 2 = 12.5

IQR = Q3 - Q1

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 3/4(n+1)th term

Q3 = (10 + 11) ÷ 2 = 10.5

IQR = Q3 - Q1

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 1/4(n+1)th term

Q3 = (10 + 10) ÷ 2 = 10

IQR = Q3 - Q1

IQR = 10 - 7.5 = 2.5

Therefore, ordering the IQR in descending order :

Emma, Sally, Olivia

Learn more on IQR :

brainly.com/question/18006476

#SPJ3

complete question:

Drag each tile to the correct box.

Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.

Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.

Answer:

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

Given

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Required

Rewrite in a different form

To write in a factored form, we have:

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Expand

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

Factorize

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

Factor out t + 1

[tex]v(t) = (4t -28)(t +1)[/tex]

Factorize 4t - 28

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

m L 1 = 130° (alternate interior angles)

m L 2 = 180°- m L 1 (supplementary)

= 180° - 130° = 50°

Vertical angles are supplementary

m<2

m<1