Mr. and Mrs. Smith's children all play different sports. They want to buy a combination of soccer
training sets, which each cost $149, volleyball training set, which each cost $127, and football
training sets which each cost $275. Let s represent number of soccer sets, v represent number of
volleyball sets and frepresent the number of football sets. Which expression represents the total
amount of money the Smiths will spend, before sales tax, based on the number of sports sets they
buy?

Answer:

The answer is A.

Step-by-step explanation:

Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.

Hope this helps!

Answer:

(a² + b² + 3ab)(a² + b² - 3ab)

Step-by-step explanation:

a⁴ - 7a²b² + b⁴

= (a⁴ + 2a²b² + b⁴) - 9a²b²

= (a²+b²)² - (3ab)²

= (a² + b² + 3ab)(a² + b² - 3ab)

Answer:

point = (-3, 5)

slope = 3/4

Step-by-step explanation:

The formula for point slope is:

y - y1 = m (x - x1)

point (x1, y1)

slope m

So with your equation:

y - 5 = 3/4 (x+ 3)

point = (-3, 5)

slope = 3/4

Answer: M=0,75

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

We know :-

Substitute ,

Answer:

1.) 40 degrees

2.) 75 degrees

3.) 105 degrees

4.) 140 degrees

Step-by-step explanation:

Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle

1.) angle = 180-140

2.) angle = 180-105

3.) angle = 180-75

4.) angle = 180-40

Answer:

Measure of angle 1 is: 40 degrees

Measure of angle 2 is: 75 degrees

Measure of angle 3 is: 105 degrees

Measure of angle 4 is: 140 degrees

Step-by-step explanation:

Answer:

y-2=2(x-12)

the alternative is

y+3=2(x-2)

Step-by-step explanation:

Answer:

x= 3, -4

Step-by-step explanation:

BIG BRAIN

Answer:

y = x - 11

Step-by-step explanation:

f (x) = x + 11

y = x + 11

x = y + 11

x - 11 = y

Step-by-step explanation:

Q6

answer A, as x² is the regular parabolic curve up. and x²-3 just shifts this curve down by 3 units. and that is what we need, as the extreme point of the curve is a bit below the x-axis, and therefore has a negative y value.

Q7

answer C, as this curve is the complete opposite of the curve in Q6.

it is the regular parabolic curve but down. that means -x².

but the extreme point is a bit above the x-axis (and has therefore a positive y value). -x²+3 shifts the parabolic curve up by 3 units.

Q8

answer A again. the functional values are only positive (the whole curve is above the x-axis). so, C and D are therefore wrong.

and between A and B we need to remember, that a negative exponent means 1/...

in case of B 1/(2^x).

and that would mean for large positive x we would get very small values for y.

but we see the opposite. for large x we also get large y.

so, it is 2^x (answer A).

Answer:

...............c

Step-by-step explanation:

Step-by-step explanation:

use a little imagination.

the whole thing is a combination of churches and half- circles.

and you know the formula for the area of a circle ?

A = pi×r²

so, the only difficulty is to find the circles and then the radius of each involved circle.

when you look at the picture, the shaded area is almost identical to the lower half of the main circle.

2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.

so, as a first step we will calculate the area of the lower half of the main circle.

the diameter is 24 m, so the radius is half of that : 12m

the area of the large circle is therefore

pi×12² = 144×pi m²

since we only need the (lower) half, we divide this by 2 :

144×pi / 2 = 72×pi m²

the bumps up and down are actually half-circles too. just of smaller circles.

since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.

so, the diameter of the smaller circles is 24/3 = 8 m

and their radius is half of that = 8/2 = 4m

the area of such a small circle is therefore

As = pi×4² = 16×pi m²

and a small half-circle area is then

16×pi / 2 = 8×pi m²

so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.

so, in total I only need to add 1 small half-circle.

Ashaded = 72×pi + 8×pi = 80×pi m²

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

[tex]\mathbf{n = 5}[/tex] --- the number of digits

[tex]\mathbf{r = 3}[/tex] ---- the number of actions

Each of the three actions can either be:

The number of ways of pressing a button is:

[tex]\mathbf{n_1 = ^5C_1}[/tex]

Apply combination formula

[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]

[tex]\mathbf{n_1 = 5}[/tex]

The number of ways of pressing a pair is:

[tex]\mathbf{n_2 = ^5C_2}[/tex]

Apply combination formula

[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]

[tex]\mathbf{n_2 = 10}[/tex]

So, the number of ways of performing one action is:

[tex]\mathbf{n =n_1 + n_2}[/tex]

[tex]\mathbf{n =5 + 10}[/tex]

[tex]\mathbf{n =15}[/tex]

For the three actions, the number of ways is:

[tex]\mathbf{Action = n^3}[/tex]

[tex]\mathbf{Action = 15^3}[/tex]

[tex]\mathbf{Action = 3375}[/tex]

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

https://brainly.com/question/4546043

Answer:

KL = 6 units.

Step-by-step explanation:

Congruent means the same or similar.

Hope this helps!

Answer:

a^2 = -2a

a= -2

b=18/a

b=18/ -2

b= -9

Answer:

450 words at a rate of 45 word per minute

Step-by-step explanation:

180 divided by 4 equals 45

times 10 equals 450

Answer:

450 words in 10 minutes

Step-by-step explanation:

To set this up you need to put it like this:

[tex]\frac{180}{4} =\frac{x}{10}[/tex]

From here, you need to cross multiply, which will get you to: 180(10) = 4x

Multiply 180 and 10: 1,800

The equation will now be: 1,800 = 4x

Now, divide both sides by 4:   450 = x

Answer:

GOOD LUCK ON YOUR TEST YOU WILL DO GOOD

Step-by-step explanation:

Answer:

you got the answer right there

Step-by-step explanation:

Answer:

-14/25

Step-by-step explanation:

7x +2 / 2 - 5x = -2 / 5

First you can cross multiply (shown in the picture):

Next, expand the brackets:

5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x

Now, simplify:

35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25

Hope this helps!

Answer:

565.48 sq. in.

Step-by-step explanation:

Given the Slant height and radius, we are asked to find the lateral area of the cone.

Lateral area of the cone is given by  

where, 'r' is the radius of the cone.

and 'l' is its slant height.

From the figure, we see that the slant height of the cone, l = 15 in

Also, the radius of the cone, r = 12 in.

Therefore,  

= 565. 48 sq. in. which is the required answer.

Answer:

A  proportional relationship is written as:

y = k*x

where k is the constant of proportionality.

A general word problem that represents one of these relationships can be:

If each burger costs $1.50, what would be the cost of buying x burgers?

The cost of x burgers will be x times $1.50, so if we define y as the total price, we will have the relation:

y = $1.50*x

Which is a proportional relationship where the constant of proportionality is $1,50

Answer:

The answer will be -5

You are welcome:)

Step-by-step explanation:

Answer:

4 classes

Step-by-step explanation:

1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.

Cost = 3x + 6 for members

Cost = 4x for nonmembers

2. Set the equations to equal each other and solve.

3x + 6 = 4x

-3x         -3x

6 = x

3. Check your answer

4*6 = 24

(3*6) + 6 = 24

For 4 aerobics classes, the cost for members and nonmembers is the same.

Answer: [tex]y=\frac{1}{4}x-3[/tex]

Step-by-step explanation:

Answer:

the circumference of circle is 2 πr

Answer:

this problem is  Non-proportional

Step-by-step explanation:

hope this helps

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then then corresponding sides are in proportion , that is

[tex]\frac{NP}{ST}[/tex] = [tex]\frac{NM}{SR}[/tex] , substitute values

[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30x = 450 ( divide both sides by 30 )

x = 15

Similarly

[tex]\frac{UT}{QP}[/tex] = [tex]\frac{NM}{SR}[/tex] , that is

[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30y = 270 ( divide both sides by 30 )

y = 9

The similarity ratio is the ratio of corresponding sides , that is

[tex]\frac{NM}{SR}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

SRUT is [tex]\frac{3}{5}[/tex] of NMQP

Answer:

k = 6

Step-by-step explanation: