Match each equation to the situation it represents.
Situation
Equation
Kate buys 10 tickets to
a show. She also pays a $5 parking fee. She spent $35 to see the
show.
5x + 10 = 35
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has
10 pens left for himself.
10x + 5 = 35
Yin spends 10 hours on homework this week. She spends 5 hours on science homework
and then answers 35 math problems.
353 +5 = 10
pls help someone

Answer:

[tex]z = \frac{8}{5}[/tex]

Step-by-step explanation:

Calculate for the value of [tex]z[/tex] :

[tex]2(4z - 1) = 3(z + 2)[/tex]

-Use Distributive Property on both left and right:

[tex]2(4z - 1) = 3(z + 2)[/tex]

[tex]8z - 2 = 3z + 6[/tex]

-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :

[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]

[tex]5z - 2 = 6[/tex]

-Add [tex]2[/tex] to both sides:

[tex]5z - 2 + 2 = 6 + 2[/tex]

[tex]5z = 8[/tex]

-Take [tex]5z[/tex] and divide on both sides:

[tex]\frac{5z}{5} = \frac{8}{5}[/tex]

[tex]z = \frac{8}{5}[/tex]

Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].

The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]

The given equation is 2( 4z - 1) = 3(z+2).

To solve the given equation means we should determine the value of the variable z.

To solve this, we will first clear the brackets

[tex]2(4z - 1) = 3(z+2)[/tex]

Clearing the brackets

[tex]8z - 2 = 3z + 6[/tex]

Now, collect like terms

[tex]8z - 3z = 6 + 2[/tex]

Then,

[tex]5z = 8[/tex]

Now divide both sides by 5

[tex]\frac{5z}{5} = \frac{8}{5}[/tex]

∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]

Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]

Learn more here: https://brainly.com/question/24546213

Answer:

0.64

Step-by-step explanation:

1) Subtract 0.7 from 1.34 and you will get 0.64

Hope this helps!

Answer:

Step-by-step explanation:

3 ⁵/₉ ÷ - 2²/₃

convert into improper fractions

32/9 ÷ - 8/3

apply the fraction rule:

32 / 9  x  -3 / 8

32 x -3

9 x 8

_  96

   72

_ 4     --->> convert improper to mixed numbers

   3

- 1 ¹/₃

Answer:

[tex]\frac{-7}{24}[/tex]=r

Step-by-step explanation:

3÷8=r+2÷3

[tex]\frac{3}{8}[/tex]=r+[tex]\frac{2}{3}[/tex]

[tex]\frac{3}{8}[/tex]-[tex]\frac{2}{3}[/tex]=r

(make the denominators same)(LCM of 8 and 3=24)

[tex]\frac{3}{8}[/tex]([tex]\frac{3}{3}[/tex])+[tex]\frac{2}{3}[/tex]([tex]\frac{8}{8}[/tex])=r

[tex]\frac{9}{24}[/tex]-[tex]\frac{16}{24}[/tex]=r

[tex]\frac{9-16}{24}[/tex]=r

[tex]\frac{-7}{24}[/tex]=r

Answer:

.........it equals 60.52200

Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

Step-by-step explanation:

step one:

The question is incomplete it did not specify weather the scale was a reduction or an increase in the dimension of the rectangle.

step two:

let us assume it was to be an increase i.e 7x

the length would be 4*7= 28 inches

the width would be 6*7= 42 inches

step three:

Also, we assume it was to a decrease i.e 7x

the length would be 4/7= 0.57 inches

the width would be 6/7= 0.85 inches

Step-by-step explanation:

just multiply 7.6g times 10

Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

Answer:

6x² + 4

Step-by-step explanation:

The 4 sides of a square are equal in measure.

Divide the perimeter by 4 for length of side, that is

side = [tex]\frac{24x^2+16}{4}[/tex] = [tex]\frac{24x^2}{4}[/tex] + [tex]\frac{16}{4}[/tex] = 6x² + 4

Answer:

36/12, 72/24, and 3/1.

Step-by-step explanation:

When simplified, 18/6 is 3/1, so those are the answers because they can all be simplified to 3/1 too.

Answer:

its 36/12

Step-by-step explanation:

18 is 3x 6 and 36 is 3x 12

Answer:

no

Step-by-step explanation:

beacuse the power of a odd no. will get the sign of negative not positive

Answer:

(1/2)^5 =1/2^5

Step-by-step explanation:

(1/2)^5 =1^5/2^5 =1/2^5

1^5 =1

2^5 =32

Answer:

- 25b = 175

Step-by-step explanation:

Since, The product of b and -25 is 175.

[tex] \therefore \: b \times ( - 25) = 175 \\ \huge \purple{\therefore \: - 25b = 175}[/tex]

Answer:

-25b = 175  

b=-7

I hope this the correct answer

Step-by-step explanation:

The expression would -25b=175

divide -25 on both sides 175/-25 = -7

Answer:

Your answer is going to be d

Step-by-step explanation:

Add up the angles you already have and subtract that sum from 180

180 - 133 = 47

Answer:

D

Step-by-step explanation:

39+94=133

180-133=47

Given:

On a number line, suppose the coordinate of A is 0, and AR = 9.

To find:

The possible coordinates of the midpoint of AR.

Solution:

Coordinate of A is 0, and AR = 9.

It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.

If coordinate of R is -9, then midpoint of AR is

[tex]\dfrac{0+(-9)}{2}=-4.5[/tex]

If coordinate of R is 9, then midpoint of AR is

[tex]\dfrac{0+(9)}{2}=4.5[/tex]

Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.

Answer:

12r^2 +r-7

Step-by-step explanation:

Answer:

BALLZ

Step-by-step explanation:

T3ST1CALZ

Answer:

960 calories in 6 cups of cereal

Step-by-step explanation:

Answer:96

Step-by-step explanation:

16 is in the 4/4 and 16 x 6 is 96

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.

The number of miles per year is calculated as,

⇒ 24,084 / (63 - 50)

⇒ 24,084 / 13

⇒  1852.61 ≈ 2,000

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

m=5.8 or -29/5

Step-by-step explanation:

I used a calculator

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

13-10=3

Answer:

$15

Step-by-step explanation:

3 guest = $9 (9/3 = 3 so each guest is $3)

so

5 guest = $15    (3 x 5 = 15)

Let, first integer is x.

Therefore, other two are x+1 , x+2 .

Now, mathematical expression of given conditions is :

4x + 3 = 3(x+2)

4x + 3 = 3x + 6

x = 3.

So, the consecutive numbers are 3 , 4 and 5.

Therefore, the middle integer is 4.

Hence, this is the required solution.

Answer:

7/13

Step-by-step explanation:

there are 13 marbles altogether and there is blue marbles the most

Answer:

[tex]Total\ Savings = 85 + 7 w[/tex] --- In w weeks

[tex]Total\ Savings = \$141[/tex] --- In 8 weeks

Step-by-step explanation:

Given

[tex]Available\ Amount = \$85[/tex]

[tex]Weekly\ Savings = \$7[/tex]

[tex]Number\ of\ weeks = 8[/tex]

Required

Determine the amount of savings in w weeks

This can be calculated as thus:

[tex]Total\ Savings = Available\ Amount + Weekly\ Savings * Number\ of\ weeks[/tex]

In this case;

w = Number of weeks

So, we have:

[tex]Total\ Savings = 85 + 7 * w[/tex]

[tex]Total\ Savings = 85 + 7 w[/tex]

When w = 8, we have

[tex]Total\ Savings = 85 + 7 * 8[/tex]

[tex]Total\ Savings = 85 + 56[/tex]

[tex]Total\ Savings = \$141[/tex]

Steps to solve:

x/6 = 8

~Simplify

1/6x = 8

~Multiply 6 to both sides

x = 48

Best of Luck!

Answer:

[tex]MP= (5,4)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8

[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4

[tex]MP= (5,4)[/tex]