At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40What is the maximum number of ride tickets she can buy?

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

Answer: 0.6 liters per kilometer

Step-by-step explanation:

(A) 475L - 50km

(B) 375L - 200km

Subtract liters.

475-375=100L

Subtract km

200-50=150km

Divide liters per km

100/150=0.6L/km

Answer: $172.50

Step-by-step explanation:

$2300 x 0.075 = $172.50

You can double check quickly because you know 10% of 2300 is $230, so 5% is $115.  The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.

Answer:

5

Step-by-step explanation:

To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = [tex]\sqrt{9}[/tex] = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

Answer:

A

Step-by-step explanation:

[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]

Hope this helps!

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

Answer: 41

Step-by-step explanation:

Answer:

c:16

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

7/8 ÷ 3 1/16

Change to an improper fraction

3 /16 = (16*3+1)/ 16 =49/16

7/8 ÷49/16

Copy dot flip

7/8 * 16/49

Rewrite

7/49 * 16/8

Simplify

1/7 * 2/1

2/7

CLASS 8 SPOT TEST

1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?

2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?

3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?

4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.

5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?

Step-by-step explanation:

1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Only these 5 are even: 2, 4, 6, 8, 10.

The probability on an even number is 5 / 10 = 0.5 = 50%

2. The total number of balls is 10.

5 WHITE, 4 BLACK AND 1 BLUE

The probability on a black ball is 4 / 10 = 0.4 = 40%

3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.

Only these 3 are odd: 1, 3, 5.

The probability on an odd number is 3 / 6 = 0.5 = 50%

4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.

5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.

(The total should always add up to 100%).

Answer:

Below

Step-by-step explanation:

1. -4, -|2|, -1, |-3|, 4

2. -7.5, -7.2, 9.5, 10.5

3. 7

5. 13

6. -9

7. [tex]\frac{5}{12}[/tex]

8. -1.36

9. [tex]\frac{13}{5}*[/tex][tex]\frac{-4}{3}[/tex][tex]=\frac{-52}{15}[/tex]

10. -27.2

11. 22 * 2 + 7 * 0 - 5 * 1 = 39

Answer:

Step-by-step explanation:

4p(p−7q)

=(4p)(p+−7q)

=(4p)(p)+(4p)(−7q)

=4p squared −28pq

Answer:

27.5 degrees

Step-by-step explanation:

First, choose which method would work in this problem, SOH, CAH, or TOA.

We have opposite, O and adjacent, A. So we have an O and an A.

Thus, we should use TOA.

Tangent x = 44/84

Tangent x= 0.52

x= Tangent^-1 (0.52)

x=27.5 degrees

Answer:27.6

Step-by-step explanation:

Answer:

x = 2 y = 2

Step-by-step explanation:

just do equation form

Answer:

[tex]x=2[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

To use Cramer's Rule, we first need to turn this system of equations into a matrix

[tex]A=\left[\begin{array}{cc}-1&-3\\2&4\\\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}-8\\12\\\end{array}\right][/tex]

The first step to use Cramer's Rule is to find the determinant of the original matrix

[tex]detA=(4)(-1)-(2)(-3)\\\\detA=-4+6\\\\detA=2[/tex]

Next, we need to replace column 1 of matrix A with b and then find the determinant of that matrix

[tex]A_1=\left[\begin{array}{cc}-8&-3\\12&4\\\end{array}\right][/tex]

[tex]detA_1=(-8)(4)-(12)(-3)\\\\detA_1=-32-(-36)\\\\detA_1=4[/tex]

And now we need to replace column 2 of matrix A with b and then find the determinant of that matrix

[tex]A_2=\left[\begin{array}{cc}-1&-8\\2&12\\\end{array}\right][/tex]

[tex]detA_2=(-1)(12)-(2)(-8)\\\\detA_2=-12-(-16)\\\\detA_2=4[/tex]

Now that all of this is done, we can find the values for our x matrix.

Recall that Cramer's Rule states that

[tex]x=\left[\begin{array}{c}\frac{detA_1}{detA} \\\frac{detA_2}{detA} \\\end{array}\right][/tex]

Now that we know all of the required determinants, we can find x

[tex]x=\left[\begin{array}{c}\frac{4}{2} &\frac{4}{2} \end{array}\right] \\\\x=\left[\begin{array}{c}2\\2\\\end{array}\right][/tex]

This means that the solutions to this system are [tex]x=2[/tex] and [tex]y=2[/tex]

Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

Answer:

Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.

Answer:

ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.

(I'm sorry I got most of this from google) :(

6. C.

7. B.

8. B.

9. B.

10. C

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

Answer:

  0.4762

Step-by-step explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

  60/126 ≈ 0.4762

__

nCk = n!/(k!(n-k)!)

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the [tex]\square[/tex] be x.

Half of [tex]\square[/tex] =x/2

From the pictogram, we then have:

[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]

Therefore:

[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]

So we have the following numbers

[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]

(a)Cat was the least popular

(b) [tex]\square[/tex] represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]

Similarly,

People who like dog = [tex]y+\frac{3}{4}y[/tex]

Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]

Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]

Peoples who like Dolphin = [tex]3y[/tex]

Since, total people = 80

Therefore,

       [tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]

Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Learn more:

https://brainly.com/question/23021563

Answer:

144 inches.

Step-by-step explanation:

One foot = 12 inches

One square foot = 144 inches.

Answer:

144

Step-by-step explanation:

Foot=12 inch

Square foot= foot times foot

Square foot= 12 inch times 12 inch

Square foot= 144 square inch.

Answer:

3+7i

Step-by-step explanation:

Answer:

Associative

Step-by-step explanation:

I got it on edge hope ur not as far behind as me boys

Answer:1/4

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/3 ÷ 4

1/3 x 1/4 = 1/12

Answer:

76.3 cm²

Step-by-step explanation:

step 1

step 2

step 3

step 4

Answer:B

Step-by-step explanation:

-36 – 8=-44

36+8=44

-36 + (-8)=-44

8 – 36=-28

-8+36=28

As you can see only B equals -44 just like the expression given,

Hope my explanation helps

Answer: [tex]8(4x^3-y^2)[/tex]

Step-by-step explanation:

[tex]32x^3-8y^2[/tex]

[tex]8(4x^3-y^2)[/tex]

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

Answer:

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

Solving any of the equation above gives: x=27

We therefore have:

[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]

Let y be the total cost of x tickets

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).