Jane has 27 cats , max has 6, Jasmine has 98 how many altogether?​

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

Answer:

x = 748 inches

Step-by-step explanation:

.0254 meters in 1 inch

set up a proportion:

.0254/1 = 19/x

cross-multiply:

.0254x = 19

x = 19/.0254

x = 748.03

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=140.6ft³

is a required answer.

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

I don't know how you wanted to round it

1)

SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]

SA = 289.3725

V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]

V = 277.80389

2)

SA = 8.1(13) + 8(13) + 8.1(13) +  [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]

SA = 370.94749

V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]

V = 366.2587

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

3

Step-by-step explanation:

We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,

→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )

→ m = -3 - y / -7 - (-1)

→ 1 = -(3+y)/ -7+1

→ 1 = -(3+y) / -6

→ 6 = 3 + y

→ y = 6 - 3

→ y = 3

Answer:

Step-by-step explanation:

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

12 + 4x = 4(3 + x)

Step-by-step explanation:

Think about what you need to multiply (3 + x) by to get 12 + 4x.

He answered 16 questions correctly, and got 3 wrong answers.

==========================================================

Explanation:

Let

x,y,z are nonnegative whole numbers.

-------------------

Since there are 20 questions total, this means the first equation to set up is:

x+y+z = 20

Solving for y leads to

x+y+z = 20

y+z = 20-x

y = 20-x-z

We'll use this later.

-------------------

Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.

Let's plug the equation in which we isolated y

7x-4y = 100  

7x-4(20-x-z) = 100

7x-80+4x+4z = 100

7x+4x+4z = 100+80

11x+4z = 180

-------------------

Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.

If x = 0, then,

11x+4z = 180

11(0)+4z = 180

4z = 180

z = 180/4

z = 45

So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.

If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation

So another solution is (x,z) = (4,34)

Note that

11x+4y = 180

11(4) + 4(34) = 180

But like before, z = 34 isn't possible since 20 is the max.

Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.

Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.

Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.

Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.

We can see that:

7x-4y = 7(16)-4(3) = 112-12= 100

meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.

-------------------

To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)

Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer: 46

Step-by-step explanation:

4(9)+10

36+10

46

Answer:

46

Step-by-step explanation:

4y + 10

4(9) + 10

36 + 10

46

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

Answer:

The estimated number of children who attended the parade is 6,336.

Step-by-step explanation:

Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:

(10,560 / 50) = 211.2

211.2 x 15 x 2 = X

211.2 x 30 = X

6.336 = X

Therefore, the estimated number of children who attended the parade is 6,336.

Answer: 1331

Step-by-step explanation: v=lwh

The volume would be 1,331 cm cubed. I hope this helps, have a good day!

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)

Answer:

1/ 112

Step-by-step explanation:

1-½ = ½ ( Mr. Daniel's leftover)

½×½= ¼ ( Mr. Richie)

½×¼= 1/8 ( Ms Laura)

½×1/8 = 1/16 ( Ms. Kimberly)

1/7 × 1/16 = 1/ 112 (the last turn)

so, Ms. Sarah eats 1/ 112 of a piece.

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

Answer:

1,2,5,10

Step-by-step explanation:

1 x 10 = 10

2 x 5 = 10

10 x 1 = 10

Answer: B. 23.07755 has 7 significant digits

Step-by-step explanation: