there are 4 swimmers. amy swam 2 more laps than sean. katie swam twice as many laps as sean. tom swam 4 more laps than katie. all together the 4 swimmers swam a total of 78 laps. how many laps did sean swim?

Answer:

f(5) = -1

Step-by-step explanation:

f(5) is x = 5.

When x = 5, y = -1.

Therefore, f(5) = -1

Answer:

x=3

Step-by-step explanation:

Use pemdas!

First use distributive property to get rid of the parenthesis, by multiplying 2 by 3x and -4. Then combine like terms and use inverse operations to simplify each side until you get it down to just x! Hope this helped! :)

First, let's define variables:

A = adults

C = children

Okay, now that's done, time to set up the two equations required to solve:

10a + 7c = 6549

a + c = 783

One way you can solve this is to set up the second equation to isolate a variable. For example,

a = -c + 783

Using this, we can plug it into the first equation and solve for c.

10(-c+783) + 7c = 6549

-3c = -1281

c = 427

Now, use the value of 427and plug it in either equation to solve for a.

a + 427 = 783

a = 356

356 adult tickets were sold, and 427 children tickets were sold.

Step-by-step explanation:

[tex] \frac{ {4}^{7} }{ {4}^{6} } [/tex]

= 4

.......

Answer:

Step-by-step explanation:

50-14=36

36-24=12

12-1=11

11-0.9=10.1

The total amount of money spent will be $10.1.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that you receive $50 for your birthday. You buy a book for $14.95 and a baseball cap for $24.95.

50-14=36

36-24=12

12-1=11

11-0.9 = $10.1

Therefore, the total amount of money spent will be $10.1.

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Answer:

0 ≤ x ≤ 8

Step-by-step explanation:

Given

4 ≤ x + 4 ≤ 12 ( subtract 4 from each of the 3 intervals

0 ≤ x ≤ 8

Answer:

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Answer:

you are super nice to let me do this

Step-by-step explanation:

thank you, tgbrrhrbrtbrtrtbrlhixtrdfybvnbjhjgtfugfg...

- Audrina

Step-by-step explanation:

r u adding them or not if so it will be 2 years:0 months

Answer:

You sure this true

Step-by-step explanation:

How you know

Answer:

OOOOOOOO THANK YOU!!!!!!

Answer:

1. correct (3+2) x 5 is 5 squared

2. 125     5 cubed is 125

3. 50       10 squared and divided by 2 is 50

Step-by-step explanation:

1. is correct

2. 5x5x5

   =25x5

    =125

3. 10x10=100

    100/2

     =50

Hope this helps :)

Answer:

(3+2)*5 ---------> 5 squared

5 cubed --------> 125

10 squared divided by 2 ---------> 50

Step-by-step explanation:

First of all, you don't need to beg. It's all right. You got this!

This question is asking us to simplify what is on the left and match it to the right.

(3+2)*5

5*5= 25

5 squared is 5*5 which is equal to 25

5 cubed is 5*5*5 which is equal to 125

10 squared divided by 2

10*10= 100

100/2= 50

Hope this helps!

Answer:

21/50

Step-by-step explanation:

First, convert to a fraction. Since its hundredths place, the fraction is 42/100

Next, simplify. The GCF is 2, so you divide each number by 2, to get 21/50

Answer:

21/50

Have a nice day! :D

Step-by-step explanation:

Answer:

Temperature in noon = 1°C

Step-by-step explanation:

Given:

Temperature on 7:00 Am = -7°C

Temperature rose = 8°C

Find:

Temperature in noon

Computation:

Temperature in noon = Temperature on 7:00 Am + Temperature rose

Temperature in noon = -7°C + 8°C

Temperature in noon = 1°C

Answer:

13a_29

Step-by-step explanation:

group like terms

Answer:

[tex]a = \frac{u + 3}{-3}[/tex]

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

[tex]a = \frac{u + 3}{-3}[/tex]  is your answer.

~

Answer:

2x+2<-18

Step-by-step explanation:

First subtract 2 from both sides to get 2x<-20

Then divide both sides by 2 to get x<-10

Answer:

49.2 cm

Step-by-step explanation:

this is because the sides of the square are all equal

Answer:

9.24

Step-by-step explanation:

Don't be worried friend :)

-(y + 2) + 8 = 3

=> -(y + 2) = -5

=> y + 2 = 5

=> y = 3

Answer:

The answer should be 3/22.

Step-by-step explanation:

To multiply the fractions, multiply the numerators and denominators separately.

3 times 1 over 4 times 8,

Multiply straight across,

Answer should be 3/22

The 3/4 times 1/8 equals 3/32.

To calculate the product of fractions, you multiply the numerators together to get the numerator of the result, and multiply the denominators together to get the denominator of the result.

For 3/4 times 1/8:

Numerator: 3 × 1 = 3

Denominator: 4 × 8 = 32

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Answer:

X<-2

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

1. Write equation

4-2x>8

2. Combine like terms

-2x>4

3. Divide(and switch ineqaulity sign because the coefficent is negative)

-2x<4

x<-2

6, this is because FG + GH = FH, so 8+ GH=14, and 14-8=6

Answer:

20 riders can ride per minute.

Step-by-step explanation:

The picture says to divide to find the number of riders. If we apply this here, we can see that 1200 ÷ 60 is 20.

The reasoning behind this is:

There are 60 minutes in an hour.

If the park ride lasts a minute, then the ride can have 60 rides per hour.

The question states that the ride can have up to 1200 riders per hour, so you need to divide 1200 by 60.

1200 ÷ 60 = 20.

Answer:

x=160°, y= 62°

Hope this helps

Answer:

∠X = 160°, ∠Y = 62°

Step-by-step explanation:

∠ABD = ∠FDC = 20° [ DF║AB ]

∠X = 180° - ∠FDC

∠X = 180° - 20° = 160°

∠FCD = ∠BCA = 98°        

∠Y = ∠CAB [ DF║AB]

∠BCA+∠CAB+∠ABC = 180°

98°+∠CAB+20° = 180°

∠CAB = 180° - 118° = 62° = ∠Y

Answer:

B: billie's solution is incorrect since she didnt  

subtract 36 from both sides

Step-by-step explanation:

on the second step, she added 36 on the right.

This is incorrect because when changing one

side on an equation you must change the side

in the same way.

Answer:

B. Billie's solution is right

Answer:

Slope = -2.5

Step-by-step explanation:

use the formula:

y2-y1/x2-x1

ingredients summed = final product

.10 * x ml + .15 (50ml - x) = .12 (50 ml) solve for x the amount of 10 %

.1x + 7.5 - .15x = 6 - .05x = -1.5

x = 30 ml of 10%

50-30 = 20 ml of 15%