Reese had $42 in his pocket orl Sunday night. He spent $6.50 every day for lunch.
Which of the following equations best describes the relationship between d, the
number of days since Sunday, and m, the amount of money remaining?

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

Answer:

C  [tex]\frac{48}{70}[/tex]

Step-by-step explanation:

Option C - [tex]\frac{48}{70}[/tex] is incorrect because when multiplying the numerator and denominator of the fraction [tex]\frac{7}{10}[/tex] by 7, you’re suppose to get [tex]\frac{49}{70}[/tex].

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

Answer:

If your asking its place value its Thousandths

Step-by-step explanation:

.1 is tenths

.01 is hundredths

.001 is thousandths

Answer:

A and E

Step-by-step explanation:

A is correct because if you have less than 100 percent of something then the value will be less than the original value.

E is correct because 30 percent of 400 is 120 so the band will sell 120 t-shirts on Sunday.

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

Answer:

(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

We have to simplify the given expression

First we will open the bracket having negative notation outside.

( 3x - 5 ) - 5x - 1

3x - 5 - 5x - 1

Now we will collect the similar terms together.

3x - 5x - 5 -1

-2x - 6

So the simplified form of the expression is (-2x - 6)

Answer:

8x - 4

Step-by-step explanation:

queifnsldnalbdejsjsbsjas

Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

Read more about mathematics operations at:

https://brainly.com/question/1512595

#SPJ2

Answer:

y=5+5/2x

Step-by-step explanation:

\u gotta ask ur question

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

that symbol means <= which means x is less than OR equal to  5/2

Answer:

bbbbbb

Step-by-step explanation:

:)

Answer:

D. [tex]\frac{81}{m^{7}}[/tex]

Step-by-step explanation:

[tex](3m^{-4})^{3}(3m^{5})[/tex]

[tex]\frac{81m^{5}}{m^{12}}[/tex]

[tex]\frac{81}{m^{7}}[/tex]

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

You see, this is simple division. Let's divide it.

-35/-7 = -42

_____________________

Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

Stephen: 21

Ellen: 20

Blake: 20

Step-by-step explanation:

If youre looking for more in depth answers:

Stephen received a 21 / 25 (84%)

Ellen received a 20 / 25 (80%)

Black received a 20 / 25 (80%)

Answer:

$25.00 which is $24.50

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): Dot was discarded near "x.s".

(2): "37." was replaced by "(37/1)".

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

Answer:

Step-by-step explanation:

(Sin27) / 11 = (sin x) / 15

cross multiply

15 sin27 = 11 sin x

keep in calculator as you divide 15sin27 by 11.

sin x = .6190779542

do sin ^ -1 (.6190779542) (It’s a key on the calculator.)

x = 38.25*

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

According to the equation you are give, ...

  sin(x)/15 = sin(27°)/11

Multiplying by 15 gives you ...

  sin(x) = 15·sin(27°)/11 ≈ 0.619078

The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.

  x = arcsin(0.619078)

  x ≈ 38.2°

_____

Additional comment

x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.

Answer:

Step-by-step explanation:

1 yard = 0.000568 miles

49280 yards = 28 miles

1 mile = 1,760 yards

Divide total feet by 1760

49,280 / 1760 = 28 miles.

Answer: (h)q^3

Step-by-step explanation:

Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

5

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

Total no of students = 24

No of boys = 10

So, no of girls = 24 - 10 = 14

Ratio of boys to girls = 10/14 = 5/7 = 5 : 7

So the ratio of boys to girls should be 5 : 7 and not 5 : 12

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

Answer:

It's the second one. 2/3 and 2/6

Answer:

11

Step-by-step explanation:

:>

Answer:

1+1=2 is the answer

Step-by-step explanation:

mark me as brainlist

Answer: So the star equals 4 and the triangle equals 1

Step-by-step explanation: