Translate into an algebraic equation, then solve the equation.
Peter paid $9.75 to go to the movies, which was $46.25 less than he paid to go to a concert. How much did he pay to go to the concert?

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

Additional comment

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

Answer:

70

Step-by-step explanation:

that can be 30 ft

Step-by-step explanation:

she missed 45%, so that means she made 55% of her free throws.

and these 55% correlate to the absolute number of 176 successful throws.

so,

55% = 176

1% = 55%/55 = 176/55

100% = 1%×100 = 176×100/55 = 320

so, she attempted 320 free throws in total.

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

Answer:

1.86822

Step-by-step explanation:

take the 200 miles and devide the traveling speed

Answer:

Step-by-step explanation:

y=-3x + b   the slope is the negative inverse of 1/3

4=3(2) + b

b =-2

the equation is

y=-3x - 2

slope is the negative inverse.  You find the y intercept, b, by plugging in the point (2,4) to get 4=3(2)+b

Answer:

Step-by-step explanation:

3.92,

Answer:

The answer should be 1/3 Also known as 0.3333

Answer:

try searching it up

Step-by-step explanation:

Answer:

The majority of your minimum payment is going toward interest and finance charges and only a small amount toward the principal.

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

Answer:

[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]

• First find x

[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]

• Find y

[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]

• Find z

[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]

equate the three equations:

[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]

Find z

[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]

Find x

[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]

D

Step-by-step explanation:

you subtract 15 and 11 = 4 then subtract 9-1 is 8 and then you find the common denominator

The time spent for each activity can be found writing an equation based on

the known parameters.

Reasons:

The running speed = 9 mph

The biking speed = 16 mph

Swimming speed = 2.5 mph

The time spent running = 0.5 hour + Time spent swimming

Biking time = 2 × Running time

The total distance covered = 64 miles

Required:

Time spent running, swimming, and biking

Solution:

Let t represent the time Stanley spent swimming, we have;

(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64

43.5·t + 20.5 = 64

43.5·t  = 64 - 20.5 = 43.5

[tex]t = \dfrac{43.5}{43.5} = 1[/tex]

The time Stanley spent running = 0.5 + t

Therefore;

The time spent running = 0.5 hour + 1 hour = 1.5 hour

Time spent biking = 2 × Running time

Therefore;

Learn more here:

https://brainly.com/question/23206880

Answer:

Vendor I sells more by 0.05

Step-by-step explanation:

First, you do Vendor I, divide 38.70/5, which gives you $7.74.

Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.

7.74 - 7.69 = 0.05

Vendor 1 has more then Vendor 2 by 5 cents.

Answer:

11.28 Divided by 4.7 equals 2.4.

Step-by-step explanation:

It's just simple division. Glad I could help though!

Answer:

2.4

Step-by-step explanation:

Answer:

2.0 estimated product

1.89 Actual product

Step-by-step explanation:

2.0*1.0=2.0

2.1*1.0=1.89

The product of 2.1 x 0.9 = 1.89

A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.

Given:

2.1 x 0.9

Now, Multiplying

                          2  .  1

                       x 0  .  9

                      _________

                           1  8  9

                           0  0  x

                      __________

                          1  .  8  9

Hence, the product of 2.1 x 0.9 = 1.89

Learn more about product here:

https://brainly.com/question/624355

#SPJ2

Answer:

So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.

So for 3.25 and 3 1/2

3 1/2 is greater

3.25 < 3 1/2 (so it should look like this when the symbol on that side)

and for -4.5 and -4.05

-4.05 is greater.

-4.5 < -4.05  (so the symbol is also on that side.)

Answer:

The inequality is false and equals -14=3

Step-by-step explanation:

You want to start by cancelling equal terms on both sides of the equation which means getting rid of both 8's. You are left with (-7)-(7)=7+(-4).

From here you want to solve both sides meaning adding -7-7 because both terms are negative they will combine, and the other side which is -7+4. They are opposite terms so you will subtract. This leaves you with -14=3 which is false.

Answer:

y = x + 3

Step-by-step explanation:

→ Rewrite y - x + 3 = 0 in y = mx + c format

y = x - 3

→ Find the gradient of L4

1

→ Rewrite into y = mx + c format

y = x + c

→ Substitute in ( 0 , 3 )

3 = 0 + c

→ Find c

c = 3

→ Rewrite into y = mx + c

y = x + 3

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Answer:

165km

Step-by-step explanation:

if 1cm on the map = 15km,

then since 11cm is 11x 1, we multiply the kilometers by 11, getting 165km.

Answer: y^5

Step-by-step explanation:

In the picture

Answer:

i need 9it

Step-by-step explanation:

ndbwsjl

Answer:

The answer is D ( the last option in your list of possible answers. -3,6)

Answer:

(-3,6)

Step-by-step explanation:

It goes backwards 3 units to the left meaning the x value is negative 3. It goes up 6 meaning the y value is 6. Plug the values into (x,y) and you get (-3,6)

Answer:

C

Step-by-step explanation:

first take off the 148 of the 604 page book then divide the rest by 19 ,

it should be 24 hours - 1-day  .

it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.

Answer:

Answer’s 43

Step-by-step explanation:

6+3=9

7(9)-4x5

63-4x5

63-20

Answer: 43

Answer:

i m not sure... whether it's correct or not......

bt I tried my best