(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C

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: 0, 50

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

2t=100

t=50

hopefully this helps

Answer:

mean:15

median:14

mode:13

range: 8

Answer:

(c) negative

Step-by-step explanation:

hope this helps

Answer:

Any equation that has the same slope

Step-by-step explanation:

If two li es have the same slope that means they will never intercept

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:

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:

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:

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: 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:

We start with this equation:

If x intercept is -4 then y = 0 giving us another point (-4, 0)

(4, -7) and (-4, 0)

slope = y difference / x difference = (-7 -0) / (4 --4) =

-7 / 8

Step-by-step explanation:

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: 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

Answer:

(A) 87/104

(B) 17/87

Step-by-step explanation:

The first step is to calculate the number of milk carton that was taken

= 104-17

= 87

(A) The ratio of the number of milk carton taken to the total number of milk carton can be calculated as follows

= 87/104

(B) The ratio of the number of milk cartons remaining to the number of milk cartons taken can be calculated as follows

= 17/87

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:

B

Step-by-step explanation:

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

30-8=22

22=22

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:

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

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

Answer:

It Mike who ate the most pizza

Step-by-step explanation:

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.

Step-by-step explanation:

We'll use BODMAS to solve this

Open the brackets :

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.

Correct options read:

A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

C) A career is like “a building block,” and a job is like “a castle or a tower.”

D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”

Answer:

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Explanation:

Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.

Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").

Answer:

B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”

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:

Step-by-step explanation:

Given the decimal number 7.7592

The value of the 7 in the ones place is 7 tens i.e 10

The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1

Comparing both values

We will compare both values by finding their ratios as shown;

ratio = value of the 7 in the ones place/value of the 7 in the tenth place

ratio = 10/0.1

ratio = 100

Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"

Answer

Given the decimal number 7.7592

The value of the 7 in the ones place is 7 tens i.e 10

The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1

Comparing both values

We will compare both values by finding their ratios as shown;

ratio = value of the 7 in the ones place/value of the 7 in the tenth place

ratio = 10/0.1

ratio = 100

Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"

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%.