Simplify each expression

1. 2x + (x - 4) + (2y - 5)


2. 3(x - 2) + 4(x + 3)

Step-by-step explanation:

[tex]here \: given \: that \: total \: lenth = bd = 67 \\ then \: bd = bc + cd \\ so \: we \: can \: write \: that \\ 67 = 3x - 2 + 4x + 13 \\67 = 3x + 4x - 2 + 13 \\ 67 = 7x + 11 \\ 7x = 67 - 11 \\ 7x = 56 \\ x = \frac{56}{7} \\ x = 8 \\ thankyou[/tex]

Answer:

[tex]\huge\boxed{\sf 22}[/tex]

Step-by-step explanation:

By looking at the line segment, we get to know that:

BD = BC + CD

Given that:

BD = 67

BC = 3x - 2

CD = 4x + 13

Solution:

Put the givens in the above equation made.

67 = 3x - 2 + 4x + 13

67 = 3x + 4x - 2 + 13

67 = 7x + 11

7x = 67 - 11

7x = 56

Divide both sides by 7

x = 56 / 7

x = 8

Now, Finding BC:

= 3x - 2

Put x = 8

= 3(8) - 2

= 24 - 2

= 22

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a=dollars6.10

b=dollars12.20

Step-by-step explanation:

Cap=x T-shirt=y

2x=3y 4x+2y=36.6

4x+ 3y=36.6 x=6.10

a) 4caps: 6.10

b) 3T-Shirt:3y=2x=2×6.10= 12.20

(According to Task)

An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.

Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,

2c = 3t

Solve the equation for c,

c = (3/2)t....... equation 1

Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,

4c + 3t = 36

Substitute the value of c from equation 1,

4(3/2)t + 3t = $36

6t + 3t = $36

9t = $36

t = $4

Now, substitute the value of t in the equation to get the value of c,

c = (3/2)t

c = (3/2) × $4

c = $6

Further, the cost of a cap, and the cost of 3 T-Shirts is,

Total Cost = c + 3t

                 = $6 + 3($4)

                 = $6 + $12

                 = $18

Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.

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let me know if any questions

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If segments are congruent then they are equal in length

Answer:

12 minutes

Step-by-step explanation:

steps are in picture below.

And if you have any question about it you can ask.

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex] - 3( - 5x + 2) + x - 3 = 39[/tex]

[tex]15x-6+x-3 = 39[/tex]

[tex] 16x-9= 39[/tex]

[tex] 16x= 39+9[/tex]

[tex] 16x=48[/tex]

[tex]x = 48-16[/tex]

[tex]x = 3[/tex]

Answer:

x = 3

Step-by-step explanation:

Given

- 3(- 5x + 2) + x - 3 = 39 ← distribute parenthesis and simplify left side

15x - 6 + x - 3 = 39

16x - 9 = 39 ( add 9 to both sides )

16x = 48 ( divide both sides by 16 )

x = 3

Answer:

15.

Step-by-step explanation:

3(x - 14) = 3

3x - 42 = 3

3x = 42 + 3 = 45

x = 15.

Let the number = x

Set up the equation:

3(x-14) = 3

Simplify:

3x -42 = 3

Add 42 to both sides

3x = 45

Divide both sides by3

X = 15

The number is 15

Let assume the age of sonali be x

[tex]\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}[/tex]

Now , Solving this linear equation.

[tex] \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}[/tex]

Hence , the age of sonali is 13 years.

Answer:

Sonali is 13 years old.

BRAINLIEST, PLEASE!

Step-by-step explanation:

Assigning variables:

s = Sonali, f = father

Setting up an equation:

f = 5 + 3s

Solving with substitution:

(44) = 5 + 3s

39 = 3s

s = 13

Checking the work:

44 = 5 + 3(13)

44 = 5 + 39

44 = 44

Answer:

i think its Quadrant 3, since their both negatives

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

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Answer:

Juan- $238

Mary- $147

Step-by-step explanation:

if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.

Answer:

9−7=−7

9−7+7=−7+7

9=0

9/9=0/9

=0/9

=0

Step-by-step explanation:

9−7=−7

9−7+7=−7+7

9=0

9/9=0/9

=0/9

=0

Answer:

1/2 of an answer is zero

Step-by-step explanation:

Answer:

(a+b)^2

= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)

Answer:

There can be 2 answers

Step-by-step explanation:

a²+2ab+b²= (a+b)²

or

(a+b)×(a+b)

= (a+b)²

Answer:

x = -7

Step-by-step explanation:

Please view the detailed answer in the image attached

Answer:

[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]

Step-by-step explanation:

x = -7

Answer:

[tex] \frac{271}{100} [/tex]

Step-by-step explanation:

hopefully it makes sense

:)

The decimal 2.71 can be written as the simplified fraction as 271/100.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

The given number is 2.71.

We can write 2.71 as 2.71 / 1, since any number divided by 1 is the number itself.

Multiplying both numerator and denominator of 2.71 / 1 with 100, we get,

(2.71 × 100) / (1 × 100)

= 271/100

This cannot be simplified further since 271 is a prime number.

Hence the simplified fractional form of 2.71 is 271/100.

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Answer:32x -72

Step-by-step explanation:

Answer:

4

We know that

Area of rectangle = lb

Area = 10(20)

Area = 200 m²

Shaded region = πr²

=> 2 × 22/7 × (10/2)²

=> 2 × 22/7 × 10/4

=> 157 m²

Probability = 157/200 = 78.5%

5.

Area of the biggest circle = πr²

= 22/7 × (20)²

= 1256.6

Area of shaded region

π(10² - 5²)

π(100 - 25)

3.14(75)

235.6

Probability = 235.6/1256.6 = 18.7%

Answer:

formular 1/2 × base × height

1/2 × 2 × 8

16/2 = 8 ft

ans 8 ft

Answer:

Step-by-step explanation:

a = 2 ft ;   b = 8 ft ;  C = 91

[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]

Answer:

.

Step-by-step explanation:

Answer:

x=1,296

Step-by-step explanation:

6x=7,776

  x=7,776/6

   x=1,296

Answer:

Step-by-step explanation:

Answer

5.56

Step-by-step explanation

The price of one ice cream cone is $2.38

The given parameters;

The actual amount Mrs Magee purchased the 3 ice cream cones;

Total amount paid = $10 - $2.86 = $7.14

The price of one ice cream cone is calculated as follows;

[tex]Price \ of \ each = \frac{Total \ cost}{total \ number } \\\\Price \ of \ each = \frac{\$7.14}{3} = \$2.38[/tex]

Thus, the price of one ice cream cone is $2.38

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Answer:

stem and leaf plot

Step-by-step explanation:

you can't find the range from a stem and leaf plot