Which of the following expressions are equivalent to -45 +12?
Choose all answers that apply:
A 3(-15+4)
B
5(-50 + 12)
None of the above

Answer:

Step-by-step explanation:

First we figure out how fast Nina can run. If Nina can run 8 km in 55 minutes, then her rate is

[tex]\frac{8km}{55min}=.145\frac{km}{min}[/tex] and we can use that in a d = rt table:

                 d        =        r        *        t

Nina                            .145

Jo

Now we can fill in the distance which is 6 for both, since that is the distance where they met:

                d        =        r       *        t

Nina         6        =     .145

Jo             6        =

Now we go to the info given about the time. If Jo started the race 3 minutes after Nina, that means that Nina is running 3 minutes longer than Jo. Filling in the time info:

                d        =        r        *        t

Nina          6       =       .145    *      t + 3

Jo              6       =         r       *         t

As you can see, right now we have 2 unknowns in Jo's row. But we don't have to! We will go to Nina's row where the only unknown is time and solve for t. If d = rt, then

6 = .145(t + 3) and

6 = .145t + .435 and

5.55 = .145t so

t = 38.379 minutes. This means that Jo was running 38.379 minutes when she caught up to Nina (it took Nina 3 minutes longer than that to go 6 km since she was already running for 3 minutes when Jo started the race). If Jo's time is 38.379, we can use that in her row for t and solve for r. If d = rt, then

6 = r(38.379) and

r = .16 km/min

Let's check it without the rounding (rounding takes away from the accuracy). If 6 = .145(t + 3) and Nina's rate not rounded is .145454545 and t = 38.37931034, then, rewriting without rounding:

6 should equal .145454545( 38.37931034 + 3)

6 ?=? .145454545(41.37931034)

6 ?=? 6.0 so

Jo's rate is .16 km/min rounded

Given:

Consider the equation is:

[tex]\dfrac{1-x}{11}=6[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\dfrac{1-x}{11}=6[/tex]

After multiplying both sides by 11, we get

[tex]1-x=66[/tex]

[tex]-x=66-1[/tex]

[tex]-x=65[/tex]

Multiply both sides by -1.

[tex]x=-65[/tex]

Therefore, the value of x is -65.

Answer:

Step-by-step explanation:

Answer:

Option c

Step-by-step explanation:

multiply the expression in the parentheses by 4 and you get 12x+16

a doesn't fit, x³ is x*x*x, not plus

b 14x-2x is 12x, not 16x

d got a 5x expression with no correspondence on the other side and 12x² isn't 17x²

Answer:

Step-by-step explanation:

Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is

J + M = 230. The second equation is

J + K = 130. The third equation is

M = 3K. Sub that 3K into the first equation and get

J + 3K = 230. Now take th second equation and solve it for J:

J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:

130 - K + 3K = 230 and

2K = 100 so

K = 50

Kevin has $50

Answer:

The coordinates of the point N is (2,3)

Step-by-step explanation:

For us to find the midpoint between two points

We use the midpoint formula which is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

We start by finding the midpoint of AB to get the coordinates of the point M

A(-1,3) and B(7,-3)

(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

C(1,6) and M (3,0)

(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Answer:

Given the equation

We need:

following

Considering that n ≥ 15, we have:

And the cost is going to be:

By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]

To simplify the given expression,  combine the two radicals using the property of exponentiation.

First, simplify the expression inside the second radical:

√[5]{[tex]3^6[/tex]}

Since the index is 5,  rewrite the expression as:

[tex](3^6)^(1/5)[/tex]

Using the property of exponentiation, multiply the exponents:

[tex]3^(6/5)[/tex]

Now combine this result with the first radical:

[tex]3\sqrt3 * 3^(6/5)[/tex]

Since ∛3 can be written as [tex]3^(1/3)[/tex],  rewrite the expression as:

[tex]3^(1/3) * 3^(6/5)[/tex]

To multiply two numbers with the same base, add the exponents:

[tex]3^(1/3 + 6/5)[/tex]

To simplify further, we need a common denominator for the fractions:

[tex]3^(5/15 + 18/15)[/tex]

Combining the fractions:

[tex]3^(23/15)[/tex]

Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]

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Answer:

B. 23,5

Step-by-step explanation:

Answer:

Not similar

Step-by-step explanation:

In triangle MLN & WXY,

Right angles - > 1

There is nothing common in these 2 triangles other than (1)

Therefore,

Not similar

Answer:

5y = x +15

Step-by-step explanation:

here you have to multiply both sides with 5 to make it a general form ,

5(y) = 5(1/5x) + 5(3)

5y = x + 15

Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.

Hope this helps. :)

Answer:

A & D

Step-by-step explanation:

A. acute because all angles are less than 90 degrees

D. scale because all sides have different

if you look up the definition of the properties you will see they don't apply

Answer:

F.Obtuse angle

because the angles are between 90-180

Answer:

to do this we have to divide 43 by 83

0.51807228915

so the frequency is about 51.8%

Answer:

3

Step-by-step explanation:

Answer:

i think C because both of the percentages shown should get what the question is asking

Step-by-step explanation:

Answer: The formula involves the dimension of the space available divided by the size of the original. In this case, that is 94 divided by 72. The answer is 1.31. Move the decimal point and that is a 131 percent enlargement.

Step-by-step explanation:

Answer:

$750

Step-by-step explanation:

Primero, Lucas gastaba $150 cada mes en gaseosas.

Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.

Es decir, a dejado de gastar $150 al mes.

Nosotros queremos saber:

¿cuánto dinero a dejado de gastar en cinco meses?

Bueno, si en un solo mes a dejado de gastar $150

En 5 meses a dejado de gastar 5 veces esa cantidad, que es:

5*$150 = $750

Answer:

please mark me as brainleast

the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.

Answer:

yes it does because men comes before women

Answer:

A, E, F

Step-by-step explanation:

A: the angles are less than 90 degrees

E: all sides have equal lengths

F: has at least 2 sides equivalent in length

Answer:

a- 14,11

b-13,63

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Please Mark me brainliest

Answer:

Formula: C= $15n + $250

50 People: $1000

100 People: $1750

Formula: n= (C- $250)/ 15

$4000 Budget: 250 Guests

$2000 Budget: 116.67 Guests

Step-by-step explanation:

Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.

With the given equation, simply substitute n for the amount of guests.

C = $250 + $15(50) = $1000

C = $250 + $15(100) = $1750

To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n

Then divide both sides by 15, making the new equation: (C-250)/15 = n

Again, substitute C with allowed cost to find the amount of guests allowed.

n = ($4000- 250)/ 15 = 250 People

n = ($2000-250)/15 = 116.67 People

Step-by-step explanation:

Height of the right circular cone = 18.8 metres

And base is 19.3 metres

Volume of the right circular cylinder is given by,

= πr²h

= 3.14 × (19.3)² × 18.8

= 21999.98(approx.) cubic metre

Rounding off nearest tenth

= 21999 cubic metres

The volume of the right circular cone is 280,199.5 m³

'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'

According to the given problem,

Height = 18.8 m

Radius = 19.3 m

Volume of right circular cone = [tex]\frac{\pi r^{2}h }{3}[/tex]

                                                 = [tex]\frac{\pi * 19.3^{2} * 18.8}{3}[/tex]

                                                 = 280199.499 m³

                                                 = 280199.5 m³

Hence, we can conclude that the volume of the right circular cone is 280199.5 m³.

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Answer:

22h−9.25

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.

Therefore, we have the equation:

[tex]\tan x^{\circ}=\frac{15}{10}[/tex]

To isolate [tex]x[/tex], take the inverse tangent of both sides:

[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]

For this case we have the following variables:

x: represents time, in seconds at the start of the test.

y: represents the speed, in miles per hour.

We have then that:

x = 0 ---> y = 0

x = 12 ---> y = 0

Answer:

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

Answer:

[tex] \frac{1}{21} [/tex]

Step-by-step explanation:

refer to solution in picture

Answer:

the answer would be 1/22 = x/3

Step-by-step explanation:

because 1 gallon of gasoline got him to travel 22 miles so your trying to solve for x for 3 gallons