A collection of dimes and nickels has a total value of two dollars and contains 31 coins. How many dimes are there in the collection?

Answer:

4 * 10 ^-4

Step-by-step explanation:

2 * 10 ^- 6    * 2 * 10 ^2

Multiply the numbers

2*2 = 4

Add the exponents

10 ^ (-6+2) = 10 ^-4

4 * 10 ^-4

Answer:

D

Step-by-step explanation:

59 - 44 + 1 = 16.

16/59

Please mark as brainliest!

Answer:

D

Step-by-step explanation:

count 44,45,46... , then count how many numbers you counted

Answer: Amount in account after 3 years $513.52

Interest accrued in 3 years is $63.52

Step-by-step explanation:

450 x 4.5% = 20.25

Add to balance 20.25 + 450 = 470.25

470.25 x 4.5% = 21.16

Add to balance 21.16+470.25=491.41

491.41 x 4.5% = 22.11

Add to balance 22.11 + 491.41 = 513.52

0.96176920308

Answer:

B(3, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

let the coordinates of B = (x, y )

Then apply the formula and equate coordinates to midpoint coordinates, that is

x = [tex]\frac{1}{2}[/tex] (x + 1) = 2 ( multiply both sides by 2 )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

-----------

y = [tex]\frac{1}{2}[/tex] (y + 2 ) = 5 ( multiply both sides by 2 )

y + 2 = 10 ( subtract 2 from both sides )

y = 8

----------

Thus B = (3, 8 )

Answer:

y = tan(x) - 2

Step-by-step explanation:

Answer:

y=tan(x)-2

Step-by-step explanation:

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

Learn more about the Venn diagram here:

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The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

V = πr^2h

V = 40π m^3

Step-by-step explanation:

volume of a cylinder

V = Bh,

where B = area of the base

When the base is a circle, then the area of the base is

B = πr^2

Then the volume of the cylinder is

V = πr^2h

You are given the radius is 2 m, and the height is 10 m, so you have

r = 2 m, and h = 10 m

V = π(2 m)^2(10 m)

V = π(4)(10) m^3

V = 40π m^3

Answer:

40

Step-by-step explanation:

just got it right

Answer: Yes, it is a function.

Step-by-step explanation:

This question is:

"A relation between time and distance traveled by a biker is a function?"

Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.

In this relation the domain is time and the range is the distance.

Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

Answer:

c

Step-by-step explanation:

1  =  3

2         6

Cross multiply:

1 * 6 = 2 * 3

Simplifying

1 * 6 = 2 * 3

Multiply 1 * 6

6 = 2 * 3

Multiply 2 * 3

6 = 6

Add '-6' to each side of the equation.

6 + -6 = 6 + -6

Combine like terms: 6 + -6 = 0

0 = 6 + -6

Combine like terms: 6 + -6 = 0

0 = 0

Solving

0 = 0

Answer:

answer mine i will answer yours

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

To solve these equations equate them to zero, that is

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

(x - 7)(x + 6) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 6 = 0 ⇒ x = - 6

Solutions are x = - 6, x = 7

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

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Solutions are x = - 3, x = 2

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

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

Solutions are x = - 5, x = 5

Answer:

If your vertex is at the orgin you can't have a point on (6,0)

Step-by-step explanation:

Answer:

y^2=2/3x

Step-by-step explanation:

Since the vertex is at the orgin and the focus is on the right side of the x axis,

the parabola will open right!

(h,k)

it would be a y^2=4px equation

6/4 = 2/3

Just always divde four by the focus

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

Answer:

5 ft, I think

Answer:

It is C (4,3). Hope it helps.

Answer:

C. (4,3)

Step-by-step explanation:

To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.

Answer:

15 deg

Step-by-step explanation:

Sine and cosine are co-functions, so

sin x = cos(90 - x)

sin 25 = cos(90 - 25)

sin 25 = cos 65

y + 50 = 65

y = 15

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex]             [cross multiply]

[tex]400x=240000[/tex]                         [divide both sides by 400]

[tex]x=600g[/tex]

We will need 600 g chopped tomatoes.

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

Stock

[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex]               [cross multiply]

[tex]400x=180000[/tex]                         [divide both sides by 400]

[tex]x=450[/tex]

We will need 450 ml of stock.

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

Red wine

[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex]                            [cross multiply]

[tex]400x=90000[/tex]                           [divide both sides by 400]

[tex]x=225[/tex]

We will need 225 ml of red wine.

Answer:

[tex]-\frac{4}{5} OR -0.8[/tex]

Step-by-step explanation:

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]

             = #12.36

Amount = #630.36 at the end of the second year

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150

Hey there! :)

Answer:

y = -3/2x - 6

Step-by-step explanation:

Begin by isolating the 'y' variable:

3x + 2y = -12

Subtract both sides by 3x:

2y = -3x - 12

Divide both sides by 2:

y = -3/2x - 6

Therefore, the equation in y = mx + b form is:

y = -3/2x - 6

Answer:

y= -1.5x-6

Step-by-step explanation:

In order to turn this equation into y=mx+b form, we need to move x to the other side.

Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x

Step 2 : Now that we have everything on the right side, divide the equation by 2.

Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.

Answer:

Brainleist!

Step-by-step explanation:

See picture

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

[tex]m\angle ABD =20^\circ[/tex]

Step-by-step explanation:

According to the given statement the two angles are equal.

[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]

Best Regards!

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

Step-by-step explanation:

Given that:

4x + 5x = $440

9x = $440

x = $49 (Approx.)

So, she received :

from the stock = 4 x 49 = $196

from the bond = 5 x 49 = $245

SO, now, how much did she invest ?

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% and y the amount at 5%.  Then x + y = 1000.  

Then:

0.04(1000 - x) + 0.05x) = 440 (total interest)

Then:

40 - 0.04x + 0.05x = 440, or

0.01x = 400, or

x = 40000 (not possible, because the principal is only $1000.

Something's wrong here.  Double check to ensure that you've copied the problem down correctly.

Answer:

Solution,

Length(l)=7.2 cm

Breadth(b)=3.1 cm

Height(h)=4.8 cm

Now,

[tex]surface \: area \: of \: cuboid \\ = 2(l \times b + b \times h + h \times l) \\ = 2(7.2 \times 3.1 + 3.1 \times 4.8 + 4.8 \times 7.2) \\ = 2(22.32 + 14.88 + 34.56) \\ = 2(71.76) \\ = 143.52 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment..

The surface area of cuboid is 143.52 square centimeters whose length is 7.2cm, width is 3.1 cm and height is 4.8 cm.

The formula for surface area of cuboid:

Surface area =  2(l×w + w×h + h×l).

Where l is length,

w is width,

h is height,

l=7.2 cm, w = 3.1cm and h=4.8 cm.

Plug in these values in above formula:

Surface area = 2(7.2×3.1 + 3.1×4.8 + 4.8×7.2)

=2(22.32 + 14.88 + 34.56)

=2(71.76)

=143.52

Hence, the surface area of cuboid is 143.52 square centimeters.

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Answer:

[tex]f(x)=6x^2+x-1[/tex]

I hope this help you :)