Please help :)
James paid $3.40 for lunch using a total of 16 nickels and quarters. How many of each coin did he have?
A. 5 nickels 11 quarters
B. 13 nickels 3 quarters
C. 3 nickels 13 quarters
D. 1 nickel 15 quarters

Answer:

a) 17.1

b) 18

Step-by-step explanation:

a)

(31+10+26+16+28+31+9+11+8+1)÷10=

171÷10=

17.1

b)

(31+10+26+16+28+31+9+11+8+1+27)÷11=

198÷11=

18

Answer: rose = 7, shrub = 7

Step-by-step explanation:

First equation 10r + 4s = 98

r = (98-4s) / 10

Second equation 9r + 9s = 126

Substituting

9 (98-4s) / 10 + 9s = 126

9(49-2s) / 5 + 9s = 126

(441-18s) / 5 + 9s = 126

441 - 18s + 45s = 630

441+ 27s = 630

27s = 630 - 441

s = 189 / 27 = 7

Cost of shrub = 7

Cost of rose = (98 - 4s) / 10

= 98-28 = 70 / 10 = 7

Answer:

10. BE = 9

Step-by-step explanation:

Answer:

(-infinity, infinity)

Step-by-step explanation:

The domain of the exponential function f(x) = 3 ^ x - 5 is (-infinity, infinity)

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

Exponential Function Formula

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Learn more about Exponential Function at https://brainly.com/question/12940982

#SPJ2

Answer:

what i know for sure is 10/19 is rational

Answer:

=> All of the options are correct.

Step-by-step explanation:

a rational number is a number that can be shown as the quotient of two integers a and b(the denominator b must not be equal to zero).

10/19 => a = 10, b = 19 (correct)

85/74 => a = 85, b = 74 (correct)

-48 => a = -48, b = 1 (correct)

-57 =>a = -57, b = 1 (correct)

=> All of the options are correct.

Hope this helps!

Answer: $1.35

Step-by-step explanation:

1.29 * 5% = 1.29 * 0.05 = 0.0645

0.0645 rounds down to 0.06

1.29 + 0.06 = 1.35

Answer: well basically the chance of getting a heart is 1 in 4 and the chance for diamond is also 1 in 4 so you would multiple that and get 1 in 8 so an exact chance of 1/8

Step-by-step explanation:

Answer:

[tex]p=\frac{16}{9}[/tex]

Step-by-step explanation:

[tex]6(3p-2)=20[/tex]

Distribute the brackets.

[tex]6(3p)+6(-2)=20[/tex]

[tex]18p-12=20[/tex]

Add [tex]12[/tex] on both sides.

[tex]18p-12+12=20+12[/tex]

[tex]18p=20+12[/tex]

[tex]18p=32[/tex]

Divide [tex]18[/tex] on both sides.

[tex]\frac{18p}{18}=\frac{32}{18}[/tex]

[tex]p=\frac{16}{9}[/tex]

Answer:

[tex]p = \frac{16}{9} \\ [/tex]

Step-by-step explanation:

[tex]6(3p - 2) = 20 \\ 18p - 12 = 20 \\ 18p = 32 \\ \frac{18p}{18} = \frac{32}{18} \\ p = \frac{16}{9} [/tex]

Answer:

original weight= 1.25 kg

Step-by-step explanation:

Original weight= 100%

After baking it looses 12% so it becomes 88% (100%- 12%)

so 1.1kg is equivalent to 88%

100% will therefore be 1.25kg

Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.

In maths, a polyhedron is just a three-dimensional solid which consists of a set of polygons, usually joined at their edges. The word derives from the Greek poly (many) plus the Indo-European hedron (seat). The plural of polyhedron is "polyhedra" (or sometimes "polyhedrons").

Polyhedrons are solids with flat faces. Any 3-dimensional solid is a polyhedron if all of its sides are flat. Examples of real-world polyhedrons include soccer balls, prisms, bricks, houses, and pyramids. All of these shapes have flat sides.

Answer:

  x = 8

Step-by-step explanation:

A graphing calculator can show you the answer easily. It works well to define a function whose x-intercept is the solution. We can do that by subtracting 300 from the given equation so we have ...

  F(2, x, 4, 11) -300 = 0

The solution is x = 8.

__

We can solve this algebraically:

  F(2, x, 4, 11) -300 = 0

  2^x +4·11 -300 = 0 . . . . use the function definition

  2^x -256 = 0 . . . . . . simplify

  2^x = 2^8 . . . . . add 256

  x = 8 . . . . . . . . . match exponents of the same base

Answer:

f(x) = 1/4x + 25

Step-by-step explanation:

Answer:

f(x) = 1/4x + 25

Step-by-step explanation:

Answer:

D. 44.79

Step-by-step explanation:

[tex]\frac{43}{96}[/tex] who worked 8 or more years said that e-mail was their favorite communication method.

[tex]\frac{43}{96}[/tex] ≈ [tex]\frac{44.79}{100}[/tex]

So around 44.79% who have worked 8 years or more said that email were their preferred communication method. Our answer is D. 44.79.

Answer:

44.79%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Negative one-fourth (x) + three-fourths = 12

-1/4(x)+3/4=12

-x/4 + 3/4 =12

-x+3/4=12

1. Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12

-1(x/4)+3/4=12

-x/4+3/4=12

2. (StartFraction negative x over 4 EndFraction + three-fourths = 12

-x/4+3/4=12

3. StartFraction

negative x + 3 over 4 EndFraction = 12

-x+3/4=12

Answer:

B, C, & E

Step-by-step explanation:

-1(x/4) + 3/4

-x + 3 /4 = 12

(-x/4) +3/4 = 12

Hope this helps ^^

Answer:

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11.

AnswerProbability = the number of wanted outcomes/the number of possible outcomes

The probability of drawing a green marble is  

number of green marbles/ total number of marbles in the bag

7/16

If you replace the marble each time, each time your chance of drawing green is 7/16.  If this is done 3 times, the probability is

(7/16)(7/16)(7/16) = 0.084

For not replacing green, there is no impact on the first draw, the probability of getting green on the first draw is still 7/16. If you do not replace, this means that there are no longer 16 marbles in the bag for the second draw, there are now 15.  And since you already drew one green one, there are no longer 7 green ones, there are now 6.  So probability for green on the second draw is 6/15.  If you draw a 3rd time and there isn't replacement,  there are no longer 15 marbles in the bag for the second draw, there are now 14. And since you already drew one green one, there are no longer 6 green ones, there are now 5. So probability for green on the third draw is 5/14.  Combining the 3 draws together:

(7/16)(6/15)(5/14) = 0.063

The probability of drawing 3 with replacement is higher than without.:

Answer:b

Step-by-step explanation:

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

Answer:

8

Step-by-step explanation:

The range of the data set is determined by the maximum - minimum.

The max value is 11

The min value is 3

11-3=8

The range of the data set is 8.

Answer:

If x is the number between -4 and 5 we can write -4 < x < 5. The reason we don't use the ≤ sign is because "in between" is exclusive, meaning -4 and 5 are not included in the solution set.

since there are 12 more females that means that, since the ratio is defferenced by 2, 1 is equal to 6. Threfor, there are 5*6+3*6 people at the party -> 30+18= 48 people

Answer:

720 cherries

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Cherries Cherie pie

240 = 3

X = 9

The known number of cherries will be given as x then u cross multiply

3×X=240×9

3X=2,160

Divide both sides by 3

3/3X=2,160/3

X=2,160/3

X=720

This implies that the number of cherries needed to make 9 cherry pie is 720

I hope this help

Hey there! :)

Answer:

x = -7, 1

Step-by-step explanation:

0 = x² + 6x - 7

Factor the polynomial, giving us:

(x + 7)(x - 1) = 0

Set each factor equal to 0:

x + 7 = 0

x = -7

----------

x - 1 = 0

x = 1

Therefore, the solution set is:

x = -7, 1

Answer:

Step-by-step explanation:

x²+6x-7=0

x²+7x-x-7=0

x(x+7)-1(x+7)=0

(x+7)(x-1)=0

x=-7,1

Answer: The answer is B. (4,-1)

Step-by-step explanation: This is the correct answer because this is where the two lines intersect. You can also find this algebraically by finding the equation of each line. You then solve them as a system, cancelling one variable at a time.

Answer:

1, 2, 4

Step-by-step explanation:

The triangles are similar by AAA or SSS (yes)

The sides are proportional (yes)

The length of AB is 21, not 15 (no)

The length of BC is 9 (yes)

The dilation is an enlargement, not reduction (no)

Answer:

1, 2, and 4

Step-by-step explanation:

I got it right on edge. good luck.

Answer:

(a) Jerry expect to reach his goal by week 43rd.

(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Step-by-step explanation:

It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.

the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.

(a)

Compute the number of week it takes Jerry to reach his goal as follows:

The nth term of an AP is:

[tex]t_{n}=a+(n-1)d[/tex]

Compute the value of n as follows:

[tex]t_{n}=a+(n-1)d[/tex]

[tex]100=17+(n-1)\cdot 2\\\\100-17=(n-1)\cdot 2\\\\83=2n-2\\\\2n=85\\\\n=42.5\\\\n\approx 43[/tex]

Thus, Jerry expect to reach his goal by week 43rd.

(b)

Compute the total number of push-ups he will have done when he reaches his goal as follows:

The sum of n terms of an AP is:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

Compute the sum as follows:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

    [tex]=\frac{43}{2}\cdot [2\cdot 17+(43-1)\cdot 2]\\\\=43\cdot [17+42]\\\\=2537[/tex]

Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Answer:

84

Step-by-step explanation:

k(x+6)= 4x²+20

k(10)= k(4+6)= 4*4²+20= 64+20= 84

Answer:

angle BAC = 50.5°

Step-by-step explanation:

To find the size of angle BAC, we will follow the steps below;

First, we will use Pythagoras theorem to find side AC

from the diagram, AB = 14 cm       BC = 17 cm

Using Pythagoras theorem,

AC² = AB² + BC²

        = 14² + 17²

         =196 +289

           =485

AC² = 485

Take the square root of both-side

AC = √485

AC = 22 .023

AC = 22.023 cm

angle <B = 90°

Using the sine rule,

[tex]\frac{sin A}{a}[/tex]   =  [tex]\frac{sin B}{b}[/tex]

A = ?

a=BC = 17 cm

B = 90°

b = AC = 22.023 cm

we can now [proceed to insert the values into the formula and then solve for A

[tex]\frac{sin A}{a}[/tex]   =  [tex]\frac{sin B}{b}[/tex]

[tex]\frac{sin A}{17}[/tex]  = [tex]\frac{sin 90}{22.023}[/tex]

cross - multiply

22.023× sinA = 17× sin90

Divide both-side of the equation by 22.023

sin A = 17 sin90 / 22.023

sin A = 0.771920

Take the sin⁻¹ of both-side of the equation

sin⁻¹sin A = sin⁻¹0.771920

A = sin⁻¹0.771920

A≈ 50.5°

Therefore, angle BAC = 50.5°