Jacinta is very fast and ran 300 metres in 30 seconds. What is her speed in km/h?

Answer:

[tex]\displaystyle x=\frac{y}{12}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]y=4x+8x[/tex]

And we want to solve it for x.

We can combine like terms on the right-hand side:

[tex]y=12x[/tex]

We can now divide both sides by 12:

[tex]\displaystyle x=\frac{y}{12}[/tex]

In conclusion:

[tex]\displaystyle x=\frac{y}{12}[/tex]

Answer:

[tex]\Huge \boxed{ x=\frac{y}{12} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]y=4x+8x[/tex]

Combining like terms.

[tex]y=12x[/tex]

Dividing both sides by 12.

[tex]\displaystyle \frac{y}{12} =x[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

The number of softballs that would fill the room is 221796 softballs

Step-by-step explanation:

First we will determine the Volume of the room.

The volume of a room is given by

[tex]Volume = lwh[/tex]

From the question, the given dimension of the room is  10 by 12 by 24 foot

Hence the volume of the room = 10 × 12 × 24

= 2880 cubic feet (ft³)

Convert to cubic inches

To do this, multiply the answer in cubic feet by (12 × 12 × 12)

(NOTE: 1 foot = 12 inches)

Hence, 2880 cubic feet = 2880 × 12 × 12 × 12 cubic inches

= 4976640 cubic inches

This is the volume of the room.

To estimate the number of softballs that would fill the room, we will determine the number of softballs which would give a total volume that is equal to the volume of the room.

First, we will find the volume of one softball

Diameter of softball = 3.5 inches

∴ Radius of softball, r = 3.5/2 inches = 1.75 inches

∴ r = 1.75 inches

Now, for the volume of one softball

From,

V = 4/3 (3.14)r^3

[tex]V = \frac{4}{3}(3.14)r^{3}[/tex]

[tex]V = \frac{4}{3}(3.14)[/tex] × [tex]1.75^{3}[/tex]

[tex]V = 22.43791667[/tex] cubic inches

This is the volume of one softball

The number of softballs that would fill the room will be

= Volume of the room / Volume of one softball

= 4976640 cubic inches / 22.43791667 cubic inches

=221795.9926

≅221796

Hence, the number of softballs that would fill the room is 221796 softballs

Answer:

There are 20 cupcakes covered with sprinkles.

Step-by-step explanation:

To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:

Total amount of cupcakes=120

cupcakes covered with peanuts=1/5*120=24

cupcakes covered with chocolate chips=1/3*120=40

cupcakes covered with coconut=36

Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:

cupcakes covered with sprinkles=120-24-40-36

cupcakes covered with sprinkles=20

According to this, the answer is that there are 20 cupcakes covered with sprinkles.

Answer:

only q or r can be irrational

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational  numbers either repeats the sequence of digits over again or terminates at a finite number.

Irrational numbers are numbers that are not rational. The decimal representation of an irrational  number does not repeat a sequence of digits over again and never terminates. e.g √2, π.

The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:

q*r = irrational * irrational = rational

p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.

But, If either q and r are irrational then:

q*r = irrational * rational = rational * irrational = irrational

p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational

Answer:

1) Both q and r may be rational

2) r may be rational if q is irrational

Step-by-step explanation:

I did the quiz and got it right. Also I watched the video twice. You got this!!!!

Answer:

Ok, here we have the sequence:

0.25, 1.75, 3.75, 5.75, 7.75, …

First let's define the two most common types of sequences:

Arithmetic: The difference between any two consecutive terms of the sequence is always the same.

Geometric: In this case, the terms are created by multiplicating the previous term by a constant number (and this is for all the terms in the sequence).

Now let's try to see if this is arithmetic, to do it, we select different sets of two consecutive terms and see their difference, if all the differences are the same, then this is an arithmetic sequence:

1.75 - 0.25 = 1.5

3.75 - 1.75 = 2

5.75 - 3.75 = 2

So for the first two terms, the difference is 1.5 and for all the next ones, the difference is 2, then it is not an arithmetic sequence.

(it would be if the first term was -0.25 instead of 0.25).

Now let's try with geometric.

To see if the series is geometric, we should see the quotient of consecutive pairs of numbers, if this quotient is the same for all of them, then this is a geometric sequence:

1.75/0.25 = 7

3.75/1.75 = 2.14

Well, we can see that the quotients are different, then this can not be a geometric sequence.

Then the answer will be neither.

If we want to write a recursive rule will be like an arithmetic sequence, but with the first two terms specified as:

a₀ = 0.25

a₁ = 1.75

aₙ = aₙ₋₁ + 2 for n = 2, 3, 4, .......

Answer:

Step-by-step explanation:

From the graphs attached,

Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).

When these points have been rotated by 90° about the origin,

Rule for the rotation will be,

(x, y) → (y, -x)

Therefore, coordinates of the image points will be,

(-4, 2) → (2, 4)

(-1, 10) → (10, 1)

Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.

Answer:

yes they are the SAME.

Step-by-step explanation:

Answer:

the domain represents all the x values and range represents all the y value

In a function y=mx+b ( linear equation), the problem is giving the y values so plug in the value of each (y) in the equation to get x.

example: the range is : { 2,4,6} find the domain in the function y=x+1

y=x+1  take value 2

2=x+1

this goes for linear equation

Step-by-step explanation:

General equation for directly proportional variables: y = kx, where k is a real constant

When x = 8, y = 26.

Hence y = 26/8 x or y = 13/4 x.

The equation will be ; y = [tex]\frac{26}{8}[/tex] × x .

It is given that y varies directly with x and y = 26 when x = 8.

We have to find out an equation that represents this relationship.

What will be the 8 times of a number x ?

The number will 8 x.

The direct variation relationship equation will be ;

y = k × x

where ; k = a constant

Given ;

at x = 8 ; y = 26

so the value of k = 26 / 8

and the required equation will be ;

y = ([tex]\frac{26}{8}[/tex]) × x

Thus , the equation will be ; y = [tex]\frac{26}{8}[/tex] × x .

To learn more about algebraic expressions click here ;

https://brainly.com/question/2164351

#SPJ2

x=15-657/2=15-373/2=-5.316

x=15+657/2=15+373=20.316

Answer:

8p

Step-by-step explanation:

Multiply 8 and p.

Answer:

NO.

Step-by-step explanation:

The common difference is -4 and you can continue to add -4  for ever!!

Answer:

25 and 49.

Step-by-step explanation:

Because 35 = 5 * 7,

35^2 = 5^2 * 7^2

= 25 * 49.

Answer:

you will pay 274.75 at month 5 for both companies

company A: 42.95x+60.00

company B. 49.95x+25.00

Step-by-step explanation:

Answer:

after 5 months

Step-by-step explanation:

cost of company A =42.95 x +60  ( x for month)

cost of company B= 49.95 x  +25

42.95 x +60=49.95 x+25

42.95x-49.95x=25-60

7x=35

x=35/7= 5 months

check :

company A: 42.95(5)+60=274.75

company B : 49.95(5)+25=274.75

Answer:data results can be interpreted in different ways

Step-by-step explanation:

Answer:

C-Data results can be interpreted in different ways

Step-by-step explanation:

Edg. 2020

here's proof

Answer:

________

-11

________

Answer:

9 Days

Step-by-step explanation:

1/2x10=5

1/2x8=4

Logic tells you that 1/2x9=4 1/2

4 1/2 divided by 9= 1/2

So this answer is reasonable!!!

Please mark me brainlist!!! UwU

Answer: it would be: y - 15

as an expression

Answer:

y-15

Step-by-step explanation:

Here it means we are removing 15 from y

16. 18/8/25 = 458/25 = 18.32

17. No because it cannot be written as ratio of two numbers

18. 3/3/11 + 3.27 = 36/11 + 35.97/11

= 6/5/11

19. ( not able to answer)

20. Diameter of pizza. = 10.333333

Length of the pizza box = 10.38

10.38 > 10.33333

Therefore, the pizza box is big enough to fit the pizza inside

21. 110/147/168 = 110/49/56

22. 4/5 = 0.8

5/6 = 0.8333333..................

Therefore, the second and the fifth might be correct.

Step-by-step explanation:

Notice that 1km = 1000m = 100000cm.

Therefore 21.7km = 2170000cm.

Answer:

2170000 cm

Step-by-step explanation:

21.7 k/m × 10³ × 10²

Answer:

-5 and -3 could both work in this situation

Step-by-step explanation

-5 + 4 = -1

| -1 | = 1

-3 + 4 = 1

| 1 | = 1

Answer:

no

Step-by-step explanation:

It is x^(1/2)

Answer:

This equation is incorrect.

Step-by-step explanation:

The sqrt(x) does not equal x squared.

You can rewrite a square root to be to the one-half power.  See if this looks correct:

x^(1/2) ?= x^2

No of course these aren't equal.  Hence, this equation is incorrect.

Cheers.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8}}}}}[/tex]

Step-by-step explanation:

First, finding the value of x

[tex] \sf{2x + 8 = 16}[/tex]

Move 8 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{2x = 16 - 8}}[/tex]

Subtract 8 from 16

[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]

Divide both sides by 2

[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 4}}[/tex]

Value of x is 4

Now, Substituting / Replacing the value of x in order to find x+4

[tex] \sf{x + 4}[/tex]

plug the value of x

[tex] \dashrightarrow{ \sf{4 + 4}}[/tex]

Add the numbers : 4 and 4

[tex] \dashrightarrow{ \sf{8}}[/tex]

Hope I helped!

Best regards! :D

Answer:

k=0

Step-by-step explanation:

[tex]8k = 0 \\ k = \frac{0}{8} \\ k = 0[/tex]

Answer:

k = 0

Step-by-step explanation:

8k = 0

k = 0                      Divide 8 to both sides

Answer:

[tex]M(h) = 7.50h + 50[/tex]

Step-by-step explanation:

Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.

This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.

We know that you earn a  rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.

We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have [tex]7.50h[/tex].

Combining this all together, we get

[tex]M(h) = 7.50h + 50[/tex].

Hope this helped!

Answer:

Find the highest (8.9°C) temperature and subtract it by the lowest (-13.4°C)

8.9°C - (-13.4°C) = 22.3

The difference in temperature on the coldest and warmest day is 22.3°C

Answer:

  8

Step-by-step explanation:

Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...

  3 + 1/x = 25/x

Subtracting 1/x, we have ...

  3 = 24/x

  x = 24/3 = 8 . . . . . . . . multiply by x/3

The number is 8.

Answer:

symmetry with respect to the y-axis

Step-by-step explanation:

f(x) = |x| has symmetry with respect to the y-axis. It looks like a V with the vertex at the origin.

The symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.

The given function is [tex]f(x)=|x|[/tex].

The function can be defined as,

[tex]f(x)=x;\;\;x\geq0\\f(x)=-x;\;\;x<0[/tex]

The function will always give the positive value of y or f(x) for all values of x.

The graph of the function is in the shape of V which is symmetric about the y-axis.

See the attached image.

Therefore, the symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.

For more details, refer to the link:

https://brainly.com/question/24757478

Answer:

The first one

Step-by-step explanation:

It is the first one as it is just the original expanded.

It isn't the third on because the second bracket is technically - 1x-6 so it is positive.

2xa=-2a

2x-3=-6 etc.

Hope this helped!