Cole learned that newly-minted
coins are put into bags. The
mint puts 2,000 half-dollar
coins into 1 bag. What is the
value of 11 bags?

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

Answer:

see explanation

Step-by-step explanation:

(a)

To find the x- intercepts , let y = 0 , that is

6x - x² = 0 ← factor out x from each term

x(6 - x) = 0

Equate each factor to zero and solve for x

x = 0

6 - x = 0 ⇒ x = 6

Coordinates of P (6, 0 )

(b)

The axis of symmetry is a vertical line, positioned at the midpoint of the zeros

x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Equation of axis of symmetry is x = 3

(c)

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 6x - x² = - x² + 6x ← is in standard form

with a = - 1, b = 6 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into y = 6x - x² for y- coordinate

y = 6(3) - 3² = 18 - 9 = 9

coordinates of maximum point = (3, 9 )

Answer:

bro how many cups fill 14 indentical water bottles

Step-by-step explanation:

question is in complete

or if I take it as x then x/14

hope it helps you

mark me as brainlist

Answer:

43.95 m OR (14 x pi)m

Step-by-step explanation:

Circumference = 14 x 3.14

Circumference = 43.96 m

Hope that helps!

Answer:

[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]

Step-by-step explanation:

The standardized cosine function is ;

[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]

Amplitude |A| = 2

Period [tex]\dfrac{2 \pi}{B }= 4[/tex]

2π = 4B

[tex]B = \dfrac{2 \pi}{4}[/tex]

[tex]B = \dfrac{\pi}{2}[/tex]

Midline y = 4;  D = 4

Phase shift; since no phase shift is given; then C = 0

The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

Answer:

If t= 6

3 (2 x 6 + 5) 6 x 6 + 15

3 (12+5) 36 + 15

3 x 17 =51

= 51

The value of both expressions when t=6 is 51

When t = 3

3(2 x 3 + 5) 6 x 3 + 15

3 (6 +5) 18 + 15

3 x 11 =33

= 33

The value of both expressions when t= 3 is 33

Step-by-step explanation:

Step-by-step explanation:

Answer:

: ^ )                

Also Give me a good rating to please

I <3 The World

9+9+9= (Forever)

Answer:

117.6    

Step-by-step explanation:

Answer:

107.5 cm

Step-by-step explanation:

find the length of the missing side of triangle which is 22.5 rounded then add all the sides together

Answer:

2^-2= 4^-1 =1\4

1\4=4

so I hope you get to it

Answer:

m= 7.50

Step-by-step explanation:

0.75x5=4.00

4.00+3.50=7.50

A taxi ride cost if Tamika is riding for 5 miles will be $7.25.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.

Let "m" be the miles Tamika is riding along.

Total additional charges = m *0.75

pick up charges = 3.50

So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50

For m = 5 miles

Tamika has to pay for 5 miles = 0.75 * 5 + 3.50

Tamika has to pay for 5 miles = 7.25

Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.

Learn more about Linear Function here:

https://brainly.com/question/20286983

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Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

please mark me as brainlist

Answer:

I think 2500..not sure tho

Step-by-step explanation:

Answer: D. 25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x

Step-by-step explanation:

15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)

When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced

Answer:

Step-by-step explanation:

Make denominators common to see the difference in fractions:

Son washed more laundry as 12/28 > 7/28

Together they washed:

Remaining part is:

Step-by-step explanation:

9/28 is your answer......

Answer:

14,000

Step-by-step explanation:

if wrong i'm sorry

Answer:

i dont think you can solve this because  

The expression is not factorable with rational numbers.

there are no like terms

Answer:

w=10

Step-by-step explanation:

You would have to set 5w-4=46.

5w-4=46

Add 4 to both sides

5w=50

Divide both sides by 5

w=10

Answer:

W=10

Step-by-step explanation:

5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

Answer:

1.41 x 10 to the 7th power

Step-by-step explanation:

3 x 10 to the fifth is 300000

300000 x 47 = 14100000 in 47 seconds

14100000 = 1.41 x 10 to the 7th power

Hope that helps!

Answer:

1.41*10^7 or 14,100,000

Step-by-step explanation:

3*10^5*47=1.41*10^7

Answer:

Jacob

Step-by-step explanation:

39*3 = 117

because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

Answer:

[tex] 3\frac{1}{3} [/tex]

or

[tex] \frac{10}{3} [/tex]

or

[tex]3.333[/tex]

Step-by-step explanation:

These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.

Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.

Side AC corresponds with DE

Side AB corresponds with BE

Side BC corresponds with BD

So we can use this proportion theorem, or angle bisector theorem

[tex] \frac{ac}{ab} = \frac{de}{be} [/tex]

Plug in the numbers.

[tex] \frac{3}{5} = \frac{2}{x} [/tex]

Cross multiply

[tex]3x = 10[/tex]

[tex]x = \frac{10}{3} [/tex]

As a decimal it equal

[tex]3.333[/tex]

or

[tex] 3\frac{1}{3} [/tex]