Alex and Nick collect baseball cards. Alex has three more than twice as many cards as Nick. Together they have 27 cards.
How many cards does Alex have?

The average speed of Sam's race car is equal to 20 kilometers per hour.

In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:

v = s / t

Where:

First, convert time into hours:

t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)

t = 0.529 h

Second, calculate the average speed:

v = (10.6 km) / (0.529 h)

v = 20.038 km / h

v = 20 km / h

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Answer:

[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]3(x+6)=21[/tex]

We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.

(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.

[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]

[tex](x+6)=\frac{21}{3}[/tex]

[tex](x+6)=7[/tex]

Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

[tex]x+6-6=7-6[/tex]

[tex]x=7-6[/tex]

[tex]x=1[/tex]

We can test our solution by plugging 1 in for x in the original equation.

[tex]3(x+6)=21[/tex]

[tex]3(1+6)=21[/tex]

[tex]3(7)=21\\21=21[/tex]

This checks out (21 is equal to 21) so we know our answer is x=1.

Answer:

Step-by-step explanation:

To solve this problem, you have to use the distributive property.

Isolate the x from one side of an equation.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

First, divide by 3 from both sides of an equation.

[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]

Solve.

21÷3=7

Rewrite the problem down.

x+6=7

Then, subtract by 6 from both sides.

[tex]\sf{x+6-6=7-6}[/tex]

Solve.

7-6=1

[tex]\Large\boxed{X=1}[/tex]

The solution is x=1, which is our answer.

Answer:

It would be 0.09

Step-by-step explanation:

First, note the original Probability for picking a blue marble in the first try:

0.3

Now, if this were to happen again, knowing that no marbles would be taken out, it would be another chance of 0.3 for Aron to pick up a blue marble on his second pick up.

Due to these being independent events, you can do:

0.3*0.3 = 0.09

To get your answer, 0.09.

Answer:

27/90 = 3/10

Step-by-step explanation:

Calculate the probability that neither is blue

7/10 * 6 / 9

63/90

Now the remainder of the choices are what the probability is when both are blue

1 - 63 / 90

27/90 is the probability of choosing 2 blues.

Answer:

40% of every gallon is from green paint.

Step-by-step explanation:

Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:

60 = 100

24 = X

24 x 100/60 = X

2,400 / 60 = X

40 = X

Therefore, 40% of every gallon is from green paint.

Answer:

75 of his weight is water

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

The answer is 75

Answer: 75 pounds

Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75

                                                                                -Damien Kubinec

x=-1.5

y=8

the answer is in the picture below

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

Explanation:

The units for each are in feet.

The formula tying together all three variables is

P = 2(L+W)

which is the same as saying

P = 2L+2W

We can think of it having two copies of L and two copies of W, four sides total, added together to get the full perimeter.

I'll go with the first version. Plug in the given values and solve for L

P = 2(L+W)

2(L+W) = P

2(L+144) = 580

L+144 = 580/2

L+144 = 290

L = 290-144

L = 146 feet is the length

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

We can confirm this by saying

P = 2(L+W) = 2(146+144) = 2*290 = 580

Or we could say

P = 2L+2W = 2*146+2*144 = 292+288 = 580

or,

P = L+W+L+W = 146+144+146+144 = 580

Answer:

12

Step-by-step explanation:

32×3/8

.................

Answer:

I can help you for free if you want!

Step-by-step explanation:

I'm in 11th grade, so I know most 7th-grade math things.

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

The mean is:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case we have the set of 20 points described above, then the mean is:

[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]

Rounding to the first place after the decimal point, we get:

M = 0.4

Then the correct option is option B.

I think the answer is $18.63

Step-by-step explanation:

First, I added 15% to $45 = $51.75

next, I subtracted 64% from $51.75 = $18.63

This means Ben spent $18.63 on books

Answer:

1.7

Step-by-step explanation:

Adding together all the points, you get 10. 10 divided by 7 is 1.666666667, which rounds to 1.7

The slope of the line is 2.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

From the line,

Coordinates are:(2, 4) and (4, 8)

Now,

(2, 4) = (a, b) and (4, 8) = (c, d)

Slope.

= (d - b) / (c - a)

= 8 - 4 / 4 - 2

= 4 / 2

= 2

Thus,

The slope of the line is 2.

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Answer:

The answers is 2b+24=16

Step-by-step explanation:

Multiply using the distributive property can I please have a brainless thank you and have a good afternoon

Answer:

B= -4

Step-by-step explanation:

2 x -4 = -8

2 x 12 = 24

24 - 8 = 16

Therefore, F = c * M1 * M2 / d^2 when the force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them using the C constant.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

Direction is characterized as the course that anything follows, the route that must be taken to go to a certain location, the direction in which something is beginning to take shape or the direction you are facing.

F = c * M1 * M2 / d^2

Where,

F is the force of attraction,

M1 and M2 are the weights of the two bodies,

d is the distance between the two bodies,

and c is the proportionality constant.

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Answer:

A

Step-by-step explanation:

ez

tx is the finder of the anser

Answer:

It would be answer A.

Step-by-step explanation:

I used basic analysis.

I looks at the angles and choose which answer looked like it would best fit the angles.

The explicit rule for the sequence -2, 5, 12, 19 is

-2 + (n - 1) 7.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

-2, 5, 12, 19

This is an arithmetic sequence.

The first term.

a = -2.

The common difference.

d = 5 - (-2) = 7

= 12 - 5 = 7

= 19 - 12 = 7

Now,

The nth term of an arithmetic sequence.

= a + (n -1)d

= -2 + (n - 1)7

Thus,

The explicit rule is -2 + (n -1) 7.

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Answer:

21

3

108

Step-by-step explanation:

(V+ W)(10) = 12 + 9 = 21

(V-W)(10) = 12 - 9 = 3

(VW)(10) = 12 * 9 = 108

Step-by-step explanation:

in an isoceles triangle (both legs have identical length) the height from the top corner to the baseline shots the baseline into 2 identical halves.

so,

6x + 6 = 9x - 15

6 = 3x - 15

21 = 3x

x = 21/3 = 7

many greetings to your teacher from me : he/ she made a formal mistake. the angles at Y have to be indicated as right angles. because if the line WY is not the height but could have any angle with the baseline, this cannot be solved.

Answer:option 4. 4,500

Step-by-step explanation:

sense  1k= 1,000 g.......S =1 CC=3 1/2= 500 3=4 = 4,500

have an amazing day hope this helpsss<3

As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.

fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.

Here,

The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.

As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.

Given: The likelihood of exactly 1 success after 68 attempts.

=> P(x=1) = 68!/ (68-1)!  * 1/365

=>  68/365

= >  0.1863

As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.

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The equations are n + s = 76 and 2n + 1.50 s = 125.

let n = number of Nachos sold

let s = number of sodas sold

Two equations are presented to us, and we can use them together to solve one variable at a time.

Eq. 1: n + s = 76

Eq. 2: 2n + 1.50 s = 125

So, s = 76 - n

Put (76 - n) for s in the second equation

2n + 1.50 (76 - n) = 125

2n + 114 - 1.50 n = 125

2n - 1.50 n + 114 = 125

0.5n + 114 = 125

0.5n = 125 - 114

0.5n = 11

n = 22

s = 76 - 22

s = 54

22 nachos sold and 54 sodas sold.

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Answer:

1. [tex]\sqrt{7}[/tex]

2. The square root of an imperfect square

Step-by-step explanation:

A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.

The square root of an imperfect square is always irrational.

Answer:

25........................

Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.

To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.

Here,

Given : 32x²/y + 108y²/x

=> (32x³+ 108y³ ) /xy

=>  4(8x³ + 27y³) /xy

=> 4((2x)³ + (3y)³) /xy

Therefore , the solution of the given problem of fraction comes out to be

4((2x)³ + (3y)³) /xy.

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Answer:

Clouds, Sweater Weather, and Bestfriend also So what.

Post Malone Radio.

There are 100 pennies in 1 dollar, so Priya collected 2400/2.5=<<2400/2.5=960>>960 pennies.

This means Priya raised 960/100=$<<960/100=9.60>>9.60. Answer: \boxed{9.60}

Answer:

Step-by-step explanation:

with raising an exponent to the power of another exponent all you need to do is multiply the exponents.

the base remains the same.