Solve for : x
6x+34+ 8x+14
my last one please helpp

Answer:

x = 4

y = 1

Step-by-step explanation:

At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°

∵ The sum of the interior angles of a triangle is 180°

∴ 52° + 90° + (6x + 14y)° = 180°

→ Add the like terms

∴ 142° + (6x + 14y) = 180°

→ Subtract 142° from both sides

∴ (6x + 14y)° = 38° ⇒ (1)

→ By using the two triangles

∵ The two triangles are congruent

∴ (15x - 8y) = 52° ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -2 to make the

   coefficients of x equal in values and different in signs

∵ 5(6x + 14y) = 5(38)

∴ 30x + 70y = 190 ⇒ (3)

∵ -2(15x - 8y) = -2(52)

∴ -30x + 16y = -104 ⇒ (4)

→ Add equations (3) and (4) to eliminate x

∵ 86y = 86

→ Divide both sides by 86 to find y

∴ y = 1

→ Substitute the value of y in equation (1) to find x

∵ 6x + 14(1) = 38

∴ 6x + 14 = 38

→ Subtract 14 from both sides

∴ 6x = 24

→ Divide both sides by 6

∴ x = 4

Answer:

It Mike who ate the most pizza

Step-by-step explanation:

Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

                                     = $11.76  

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

                                                                        = $33.81

Number of meals prepared with material purchased = 28

Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

                         = 20 - 1.2075

                         = 18.7925

                         ≈ $18.8

Therefore, he will make $18.8 for each meal.

Answer:

Estimate and then solve the equation.

x − 174

5

= − 131

5

The estimated equation is

.

The estimated solution is x =

.

The actual solution is x =

.

Hope this helps!

edugenuity

Answer:

B

Step-by-step explanation:

6(5)-8=22-(5-5)

30-8=22

22=22

Step-by-step explanation:

We'll use BODMAS to solve this

Open the brackets :

Answer: 10^4 · 4^5

Since 4^10 and 4^5 have the same base, and it's division, you can subtract the exponents.

(10^4 · 4^10)/4^5 = 10^4 · 4^(10-5) = 10^4 · 4^5

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

Answer:

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

Answer:

4.12

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

        -64   -64

a^2 = 17

square root of 17 = 4.12310

round to the nearest hundredth 4.12

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:

300 dollars

Step-by-step explanation:

Multiply 10 feet by 12 feet to get the total number of feet needed

10x12=120 feet

120 times $2.5= $300

The cost to carpet a rectangular floor is $300.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 10 \times 12 \times \$2.50[/tex]

= $300

Learn more: brainly.com/question/17429689

Answer:

10 to the power of 5 is 50 so do 50 times 3.8 and 10 to the power of 4 is 40 so do 40 times 5.9

Answer:

Mia is incorrect. 32% of the students say climbing trees is their favorite.

Step-by-step explanation:

Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100

Number of students that chose climbing trees = 8

Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25

Therefore,

% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].

Mia is wrong.

32% say climbing trees is their favorite. NOT 40%.

Answer: the number -5 is a real number

Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.

Hope this helps!

Answer:

the number -5 is a real number

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

if 1 gallon is consumed for 54 miles

what about 164 miles ..

so you take 1 * 162

..........

54

Answer:

Stefan should rent a phone accessory store

Step-by-step explanation:

The given information are;

The total of the estimated income and expenses are given as follows;

Sales

Type [tex]{}[/tex]                      Amount  [tex]{}[/tex]                      Frequency

Sales [tex]{}[/tex]                      $ 950 [tex]{}[/tex]                          Each week

Services [tex]{}[/tex]                 $2,875 [tex]{}[/tex]                        Each month

Rent  [tex]{}[/tex]                     -$4,500 [tex]{}[/tex]                        Each month

Travel  [tex]{}[/tex]                   -$7.50 [tex]{}[/tex]                          Each day

Merchandise [tex]{}[/tex]         -$1,650 [tex]{}[/tex]                         Each month

Therefore;

Total sale = 4×950 = $3,800

Total services = $2,875

Total income =  $3,800 + $2,875 = $6,675

Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375

Total profit = Total income - Total expenses = $6,675 - $6,375 = $300

Therefore, the net profit = $300.

Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.

Answer:

b

Step-by-step explanation:

Answer:

I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)

Step-by-step explanation:

Answer:

3.) 2.5cm

4.) 14mm

5.) 1.75in

6.) 12cm

7.) 4in

8.) 1.6ft

9.) 31.4in

10.) 43.96in

11.) 56.52in

Step-by-step explanation:

3-5 finding the radius is just half of the diameter.

#3

5/2= 2.5

#4

28/2= 14

#5

3.5/2= 1.75

6-8 is finding the diameter. To find the diameter multiply the radius by 2.

#6

6*2= 12

#7

2*2= 4

#8

.8*2= 1.6

9-11 is finding the circumference. To find it use this equation C= 2πr.

C= circumference, 2=2, π= 3.14, r= radius

#9 the diameter is 10in so the radius is 5in

C=2(3.14)5

C=31.4

#10 the radius is 7in

C= 2(3.14)7

C= 43.96

#11 diameter is 18in so the radius is 9in

C=2(3.14)9

C= 56.52

Answer:

I don't know the anwser

Step-by-step explanation:

but the other person does so I'm adding this to get points and so you can make her brainliest

Answer:

3.00

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Since three is a whole number, that means it would be in front of the decimal.

Answer:

mean:15

median:14

mode:13

range: 8

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

Answer: 0, 50

Step-by-step explanation: (h=0), 0=2t+100

2t=100

t=50

hopefully this helps

Answer: The points C(1,2) and E(2,2) make both inequalities true

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area below the dashed line

------> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution

Plot the points and verify if lie on the shaded area

Let

see the attached figure

The points C(1,2) and E(2,2) lie on the shaded area

The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A

The point D(2,-1) satisfy inequality A but don't satisfy inequality B

therefore

The points C(1,2) and E(2,2) make both inequalities true