Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.

Which statement is most accurate?


*Disclaimer* show work

Answer:  115 Adults and 120 Children

Step-by-step explanation:

We have 2 unknowns:  A is the number of Adults and C is the number of children.

We'll need at least two equations to solve for two unknowns.

One equation is easy:  We know that A + C = 235, the total number of people who entered the park.

The second equation comes from the second fact that was provided:  total admission fees were $640.  We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:

4A + 1.5C = $640  [$4 * the number of adults plus $1.5 * the number of children]

Rearrange the first equation for either variable, A or C.  I picked A:

A = 235 - C

Now use this value for A in the second equation:

4A + 1.5C = $640

4*(235-C) + 1.5C = $640

-2.5C + 940 = 640

-2.5C = -300

C = 120 children

To find A:

A = 235 - C

A = 235 - 120

A = 115 adults

===

Double check to see if these value work:

                    C       A

Fee($)          1.5      4

People        120    115

Income ($)   180   460

Total = 180 + 460 = $640

It works.  120 Adults and 115 Children.

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Zero is not a natural number

Step-by-step explanation:

Hope this helps!

If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.

Step-by-step explanation:

yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct

Answer:

25X48=1200 buttons in all

1200 divided by 15 = 80

She needs to buy 80 bags which totals 1200 buttons

Step-by-step explanation:

Answer:

  y = -0.6x +109

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (88 -94)/(35 -25) = -6/10 = -0.6

The y-intercept is ...

  b = y -mx = 94 -(-0.6)(25) = 109

The equation of the line is ...

  y = mx +b

  y = -0.6x +109

Answer:

y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.

To read the slope, you must have x and its coefficient on opposite sides of the equal sign.

So you get

y = 8x – 12 when you add 8x to both sides

Next, the y intercept is found when x = 0

y = 8x – 12

y = 8(0) – 12

y = – 12

The  y intercept is -12 or in point form (0, – 12)

Answer

slope = 8

y intercept = – 12

Step-by-step explanation:

Answer:

well....

Step-by-step explanation:

trow the apple

Answer:

Step-by-step explanation:

AB is a midsegment.

Property of the midsegment is midsegment is half the length of the parallel side of the triangle:

And

Answer:

$51

Step-by-step explanation:

First, we can convert the tax to a decimal by dividing by 100.

6.25% = 0.0625

Then, we can calculate the sales tax by multiplying the original amount by the tax.

48 * 0.0625 = 3

Finally, we can add the sales tax to the original amount to get our final amount of

48 + 3 = 51

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Hi, i think this is how to do it. I'm sorry if I do it wrong!

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 36'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x = 2

Step-by-step explanation:

subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2

Answer:

Step-by-step explanation:

[tex]\sf 19 =5+7x[/tex]

First, let's swap sides so that all variable terms are on the left hand side.

[tex]\sf 5+7x=19[/tex]

Subtract 5 from both sides:

[tex]\sf 7x=19-5[/tex]

Subtract 5 from 19:

[tex]\sf 7x=14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]

[tex]\sf x=2[/tex]

_____________________________________

Answer:  13 units

Explanation:

Use the formula [tex]C = \pi d[/tex] where C is the circumference and d is the diameter.

Answer:

  y = 2·5^x

Step-by-step explanation:

Using the given points, we can solve for 'a' and 'b'.

  y = ab^x

  2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)

__

  1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)

  625 = b^4 . . . . divide by 2

  5 = b . . . . . . . take the 4th root

The function is ...

  y = 2·5^x

____

Additional comment

There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.

Answer:

16

Step-by-step explanation:

80% of 20 is 16

Answer:

25

Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.

Answer:

  A) 1: linear; 2: exponential (see equations in part B)

  B) the value of 2 will be almost 15% greater

Step-by-step explanation:

As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.

The table values for Option 1 have a common difference of (1200 -1100) = 100.

The table values for Option 2 have a common ratio of (1210/1100) = 1.10.

Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.

Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.

__

The investment values after 7 years will be ...

  Option 1: f(7) = 100(7) +1000 = 1700

  Option 2: g(7) = 1000(1.1^7) ≈ 1948.72

The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-4}{2-(-5)}[/tex]

Her error was subtracting 5 from 2 instead of - 5 from 2

m = [tex]\frac{-7}{2+5}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1 ← corrected solution

Given quadrant equation:

3x² + 9x + 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 3 × 6 = 18

→ Sum of coefficient of x² ans constant term = 3 + 6 = 9

So the given equation can be written as,

⇛3x² + 6x + 3x + 6 = 0

On taking the common terms, we get

⇛3x(x + 2) + 3(x + 2) = 0

On grouping the common terms, we get

⇛(3x + 3)(x + 2) = 0

Here either (3x + 3) = 0 or (x + 2) = 0. So,

⇛3x + 3 = 0 or x + 2 = 0

⇛3x = -3 or x = -2

⇛x = -3/3 or x = -2

⇛x = -1 or x = -2

also read similar questions:- These are the two roots of the equation.

Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?

https://brainly.com/question/11808722?referrer

Answer:

x=50

Step-by-step explanation:

Let's solve your equation step-by-step.

√8x - 8 - 8 = 4

√8x - 16 = 4

Step 1: Add 16 to both sides.

√8x - 16 + 16 = 4 + 16

√8x = 20

Step 2: Solve Square Root.

√8x = 20

8x = 20^2 ( Square both sides )

8x = 400

8x/8 = 400/8 (Divide both sides by 8)

x = 50

HOPES THIS HELP :)

Answer:

I'm thinking its a no because the money is odd every time Jayden adds $5

Step-by-step explanation:

Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.

Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.

Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,

[tex]\to y = 11+5x[/tex]

Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,

[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]

As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].

Learn more:

brainly.com/question/11925965

Answer:

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Step-by-step explanation:

there is a right-angled triangle.

its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).

so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :

c² = a² + b²

line² = 396² + 332² = 156816 + 110224 = 267040

line = sqrt(267040) = 516.7591315... m

and we know 1 angle : the 90° angle between the legs.

the other angles we can now get by using the law of the sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the angles are opposite of the lines.

the line of sight is opposite of the 90° angle.

and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.

so, we have

516.7591315.../sin(90) = 396/sin(angle)

as sin(90) = 1

516.7591315... = 396/sin(angle)

sin(angle) = 396 / 516.7591315... = 0.76631447...

angle = 50.02407526...°

Answer:

It would be 2 (10)

Step-by-step explanation:

If you replace x with 10 then you have a multiplacation problem  and the output of the answer is 20

Answer:

i think its 4*1

Step-by-step explanation:

hope this helps

have a great day

~Zero~

Answers

Explainations

Answer:

The answer is c when u solve for x it gives 0 and for y gives 2