Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. Nancy has 1 more than times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.

Answer:

[tex]\Large \boxed{b=2}[/tex]

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

Answer:

Step-by-step explanation:

-5+2(10b-2)=31

Multiply the terms in the bracket

That's

- 5 + 20b - 4 = 31

Group like terms

Send the constants to the right side of the equation

That's

20b = 31 + 4 + 5

Simplify

20b = 40

Divide both sides by 20

We have the final answer as

Hope this helps you

Answer:

x = 1

Step-by-step explanation:

−31−4x=−5−5(1+5x)

First step is to simplify both sides

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)

distribute

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)

and combine like terms

−4x−31=−25x+−10

−4x−31=−25x−10

Then add 25x to both sides

−4x−31+25x=−25x−10+25x

21x−31=−10

Add 31 to both sides

21x−31+31=−10+31

21x=21

And divide by 21!

21x/21 = 21/21

x=1

Answer:

X=1

Step-by-step explanation:

First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)

Answer:

1st triangle:

sin(C): 0.64, [tex]\frac{16}{25}[/tex]

cos(C): 0.8, [tex]\frac{4}{5}[/tex]

Second triangle:

sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]

cos(C): 0.67, [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

In the 1st triangle:

The adjacent to C is 16, the hypotenuse is 25.

[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.

In the second triangle:

The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.

[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.

Hope this helped!

Answer:C and F are correct

Step-by-step explanation:

got it right on edge

Answer:

6×[tex]10^{-4}[/tex]

Step-by-step explanation:

Answer:

x-axis

Step-by-step explanation:

Answer:

It is the x-axis

Step-by-step explanation:

In  a graph, the horizontal part of it is called the x axis.

Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates

Answer:

33

Step-by-step explanation:

We can write an equation:

x+x+1+x+2+x+3=130

x represents the smallest number of the consecutive integers

By the way, an example of consecutive would be 2, 3, 4, 5 or 10, 11, 12, 13

We can combine like terms from our equation:

4x+6=130

4x=124

x=31

The smallest number is 31. The second number would be 31+1=32, which means the third number is 33!

Hope this helps! :) :)

Answer:

[tex]\huge\boxed{3rd\ number = 33}[/tex]

Step-by-step explanation:

Let the consecutive numbers(Coming one after another) be x, x+1, a+2 and x+3

So,

x+x+1+x+2+x+3 = 130

4x + 6 = 130

Subtracting 6 to both sides

4x = 130-6

4x = 124

Dividing both sides by 4

x = 32

So,

1st number = x = 31

2nd Number = x+1 = 31+1 = 32

3rd number = x+2 = 31+2 = 33

4th number = x+3 = 31+3 = 34

Answer:

  2 triangles

Step-by-step explanation:

The given angle is opposite the shorter of the given sides, so the number of triangles is 2. (30/25·sin(42°) ≈ 0.8 < 1)

_____

Additional comment

For the case where the shorter given side is opposite the given angle, there is the possibility that the triangle could be a right triangle (1 solution) or that there may be no solutions. You can tell the difference by computing ...

  (long side)/(short side) × sin(given angle)

If this result is exactly 1, the triangle is a right triangle. If it is greater than 1, the triangle cannot exist (no solutions). Since the sines of most angles are irrational, it is unlikely you will see this result be exactly 1 (except for a 30°-60°-90° right triangle).

These observations are a consequence of the Law of Sines, which tells you ...

  sin(A) = (a/b)sin(B)

For real angles, sin(A) ≤ 1.

Hey there! I'm happy to help!

The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.

Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.

We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).

We see that the k value is 2.

Since the vertex is (h,k), this vertex is (-1,2).

However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.

(x,y)⇒(x+7,y-5)

(-1,2)⇒(6,-3)

Therefore, the vertex of the resulting parabola is (6,-3).

Have a wonderful day! :D

Answer:

k=-6

Step-by-step explanation:

Answer:

[tex]\Large \boxed{k=-6}}[/tex]

Step-by-step explanation:

35 = -5(2k+5)

Expand brackets.

35 = -10k - 25

Add 25 on both sides.

60 = -10k

Divide both sides by -10.

-6 = k

So "MATHCOUNTS" has 10 letters.

And "MATH" has 4 letters.

So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.

But it has to be in order...

There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"

So 1/32 probability of 2/5 is 2/160 or 1/80

The probability of getting the word MATH is 1/80

The study of likeliness of an event to happen is probability .

It is given that

Total letters in MATHCOUNTS : 10 letters.

Total chances of getting letter M , A , T , H  is  4

Probability of getting the letters M , A , T , H is 4/10

= 2 /5

The probability of getting the word MATH is 1

And the total number of ways the letters can be arranged is 2⁴

= 32

The probability of getting the word MATH is

= 1 /32 * 2 /5

=1/80

Therefore , The probability of getting the word MATH is 1/80

To know more about Probability

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Answer:

Simple division..

divide 5 by 3,678

you'll get answer

0.00135943447

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

      Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]5\ \div \ 3678[/tex]

[tex]= \frac{5}{3678}[/tex] (Decimal: 0.001359)

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

Answer:

x = 69°

Step-by-step explanation:

1). JFGHI is a pentagon, every angle in a Pentagon is equal to 108°.

2). angle JIH + angle HIE = 180°; angle JIH = 108, so angle HIE = 72°.

3).  angle JDI is equal to 39° and angle IEH; so angle IEH = 39°

4). Now we know 2 out of the three angles in the triangle IHE, so we can find x!

5). x + angle HIE + angle IEH = 180°

    x + 72° + 39° = 180°

    x = 69°

Step-by-step explanation:

Since the original price is $47.96 and bill rate is 7%, $47.96 × 1.07 ≈ $51.32

Answer:

$51.32

The amount of sales tax for the bill if the rate is 7% will be $3.36.

The quantity of anything is stated as though it were a fraction of a hundred.

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday.

The cost of the pizza and soft drinks before sales tax and tip was $47.96.

Then the amount of sales tax for the bill if the rate is 7% will be

⇒ $47.96 x 0.07

⇒ $3.36

More about the percentage link is given below.

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C)

Because if you choose some points for example x = 0 and x = 3.14 (≈ pi)

you will see that there's only one match.

Answer:

Option C. y = cos x -2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.

In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.

The correct answer should be 6.  

Answer:

-6723cw

Step by Step:

(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15

Answer:

380 cm^2

Step-by-step explanation:

10*10=100(base square)

Each triangle= (14*10) /2=70

4 sides, so therefore: 70*4=280

280+100=380

Since the square base has side 10 cm and triangular side has height 14 cm, the total surface area of square pyramid is 380 cm²

To answer the question, we need to find the total surface area of the square pyramid

Since a square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.

Area of square with side, L is A = L²

Area of triangle with height, h and base, L which is the length of the square base is A' = 1/2Lh

So, total surface area of square pyramid is A" = L² + 4 × 1/2Lh

= L² + 2Lh

Given that the length of the square base is 10 cm and the height of the triangular side is 14 cm.

We have that

So, substituting the values of the variables intot he equation, we have

A" = L² + 2Lh

A" = (10 cm)² + 2 × 10 cm × 14 cm

A" = 100 cm² + 280 cm²

A" = 380 cm²

So, the total surface area of square pyramid is 380 cm²

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Answer:

  504 in³

Step-by-step explanation:

The volume of the overall outside dimensions is their product:

  Voverall = (12 in)(8 in)(6 in) = 576 in³

The volume of the "slot" is the product of its dimensions:

  Vslot = (6 in)(6 in)(2 in) = 72 in³

Then the volume of the figure shown is ...

  Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³

Answer:

504 inches cubed

Step-by-step explanation:

The area missing is 6*6*2=72

The whole area is 576

subtract the two and get 504

since we are talk about volume it is 50 inches cubed

Answer:

36

Step-by-step explanation:

There would be three on each edge. (Five, minus the two ends that have 3 sides painted.)

A cube has 12 edges.

12x3=36

Answer:

2

Step-by-step explanation:

A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.

The format is not exactly clear with the expression in the question.

Assuming the expression is '8 * 2n', the coefficient would be 2.

'n' is getting multiplied by '2'.

'8' does not have a variable next to it, so it is just a term in the expression.

The product of 8 and 2 is 16. 16 is not in the expression.

If the expression was '8.2n', 8.2 would be the coefficient.

Brainilest Appreciated.

Answer:

[tex]d=\sqrt{73}[/tex]

Step-by-step explanation:

[tex]Q(5, -1)[/tex]

[tex]P(-3, 2)[/tex]

Using the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]

[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]

[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{73}[/tex]

[tex]d\approx 8.5[/tex]

Answer:

(-8.64) / (-0.024) = 360

Step-by-step explanation:

You have to type like this in your question;

(-8.64) / (-0.024)

or [tex]\frac{-0.024}{-8.64}[/tex].

Bye!

Answer:

1 1/2 miles / hour

Step-by-step explanation:

We want distance / time

3/4 miles

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

1/2 hour

3/4 ÷ 1/2

Copy dot flip

3/4 * 2/1

3/2

1 1/2 miles / hour

Answer:

D

Step-by-step explanation:

Multiple (3/4)  by 2 to find the information for one hour)

6/4 in one hour

3/2 or 1 + 1/2 mi/h

D is the answer

Answer:

k=(-1,5)=-5

Step-by-step explanation:

Answer:

ok i got the same question and i think it is and dont qoute me boy i aint said it but i think its B sorry if im wrong

Step-by-step explanation:

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

Answer:

3^1 or 3

3^5 * 3^-4 are 3^5-4

so, 3^1!

Hope it helps!

Answer:

3^1

Step-by-step explanation:

Since the bases are the same and we are multiplying we can add the exponents

a^b * a^c = a^(b+c)

3^5 * 3^-4

3^ (5+-4)

3^1

Answer:

she bought 7 cards

Step-by-step explanation

7x5=35 and im sure there is tax