Guest #11269

2 months ago

12*7=84

The rectangle is 84cm

The rectangle is 84cm

Guest #11270

2 months ago

Area of a rectangle = width*length = 12*7=84 cm²

Question

When Mrs. JHixson gave a test, the scores were normally distributed with a mean of 78 and a standard deviation of 6. This means that 95% of her students scored between which two scores? A. 72 and 84
B. 66 and 90
C. 60 and 96
D. 60 and 100

Solution 1

For normal distribution 95% lie in the range mean-2*standard deviation for lower bound and mean+2*standard deviation for upper bound.

Upper bound is 78+2*6=78+12=90

Lower bound is 78-2*6=78-12=66

B. 66 and 90

Upper bound is 78+2*6=78+12=90

Lower bound is 78-2*6=78-12=66

B. 66 and 90

Question

99 POINTS suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 12 gallons of fuel, the airplane weighs 2176 pounds. when carrying 46 gallons of fuel, it weighs 2399 pounds. how much does the airplane weigh if it is carrying 54 gallons of fuel?

Solution 1

Find the difference in gallons and the difference in the weights

46 - 12 = 34 gallons

2399 - 2176 = 223 pounds

so 34 gallons of gas weighs 223 pounds

find weight per pound: 223 pounds / 34 gallons = 6.5588 pounds per gallon

round to 6.6 pounds per gallon

54 gallons - 46 gallons = 8 gallons

8 gallons x 6.6 pounds per gallon = 52.8 pounds, round to 53 pounds

2399 + 53 = 2452 weight of plane with 54 gallons

46 - 12 = 34 gallons

2399 - 2176 = 223 pounds

so 34 gallons of gas weighs 223 pounds

find weight per pound: 223 pounds / 34 gallons = 6.5588 pounds per gallon

round to 6.6 pounds per gallon

54 gallons - 46 gallons = 8 gallons

8 gallons x 6.6 pounds per gallon = 52.8 pounds, round to 53 pounds

2399 + 53 = 2452 weight of plane with 54 gallons

Question

The total price of an article is $7.02, including tax. If the tax rate is 8%, what is the retail price of the article?

Solution 1

Lets price of article = x

Tax is 8% of article = 0.08x

x+0.08x=7.02

1.08x=7.02

x=7.02/1.08

x=6.5

The retail price is $6.50.

Tax is 8% of article = 0.08x

x+0.08x=7.02

1.08x=7.02

x=7.02/1.08

x=6.5

The retail price is $6.50.

Question

The Correct Answer Will Get Brainliest. Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the sun. How many kilometers away is it from the sun?
A: 4.15 x 10^8 km
B: 5.8 x 10^9 km
C: 54.21 x 10^6 km
D: 1.84 x 10^7 km

Solution 1

For this case the first thing we must know is the following conversion of units:

1 AU = 1.50 * 10 ^ 8 Km

Applying the conversion of units we have:

(2,767) * (1.50 * 10 ^ 8) = 415050000

Rewriting we have:

4.15 * 10 ^ 8 Km

**Answer:**

**A: 4.15 x 10 ^ 8 km**

1 AU = 1.50 * 10 ^ 8 Km

Applying the conversion of units we have:

(2,767) * (1.50 * 10 ^ 8) = 415050000

Rewriting we have:

4.15 * 10 ^ 8 Km

Question

Find the length of the hypotenuse of a right triangle whose legs are 5 and sqare root of 2

Solution 1

**Answer:**

The length of the hypotenuse is 3√3 units.

**Step-by-step explanation:**

It is given that the length of the legs of a right triangle are 5 units and √2 units.

According to the Pythagoras theorem, in a right angled triangle

Substitute leg₁=5 and leg₂=√2 in the above formula.

Taking square root both the sides.

**Therefore the length of the hypotenuse is 3√3 units.**

Solution 2

2² + (√5)² = c²

4 + 5 = c²

9 = c²

**c = 3**

Sorry this is so late and was never answered. I just saw it pop up in the related questions.

4 + 5 = c²

9 = c²

Question

How is 3^x translated if I change it to 3^(x+4)

Solution 1

If you change 3^x to 3^(x+4) you get

Evaluate for x=3(33)(3+4)(33)(3+4)=189

Evaluate for x=4(34)(4+4)(34)(4+4)=648

Evaluate for x=x(3x)(x+4)(3x)(x+4)

Evaluate for x=3x(33x)(3x+4)(33x)(3x+4)

Evaluate for x=x+4(3x+4)(x+4+4)(3x+4)(x+4+4)

i did everything and idk wat u mean still .-. srry

Evaluate for x=3(33)(3+4)(33)(3+4)=189

Evaluate for x=4(34)(4+4)(34)(4+4)=648

Evaluate for x=x(3x)(x+4)(3x)(x+4)

Evaluate for x=3x(33x)(3x+4)(33x)(3x+4)

Evaluate for x=x+4(3x+4)(x+4+4)(3x+4)(x+4+4)

i did everything and idk wat u mean still .-. srry

Question

Solve the system of equations y = -8x
y = -5x - 9
Hint: replace "y" with an equivalent x term
( , )

Solution 1

Because both answers equal y, we can set them equal to each other. So, -8x=-5x-9. Add five over to get -3x=-9. Divide and x=3. Then plug 3 in to solve for y. -8(3)=24. The ordered pair is (3,24).

Question

Larry's lemons is a street vendor business that sells lemonade and lemon bars. A cup of lemonade sells for $2 and a lemon bar sells for $1.50. When all related business expenses are included, a cup of lemonade costs $0.25 to prepare and a lemon bar costs $0.20 to prepare. Last Monday, one of the vendors selling Larry's Lemons sold at least $500 worth of lemonade and lemon bars and its expenses were no more than $100. At least 150 cups of lemonade were sold. Let x be the number of cups of lemonade sold last Monday and y be the number of lemon bars sold last Monday. Which ordered pair representing a combination of cups of lemonade and lemon bars could have been sold last Monday and make sense in the context of the situation?

Solution 1

x = the number of cups of lemonade

y = the number of lemon bars

2x + 1.5y = 500

0.25x + 0.2y = 100

I dont know what ordered pair you're talking about but those are the equations.

y = the number of lemon bars

2x + 1.5y = 500

0.25x + 0.2y = 100

I dont know what ordered pair you're talking about but those are the equations.

Question

Which of the following gives all of the sets that contain √9? a.the set of all irrational numbers
b. the set of all natural numbers, the set of all whole numbers, and the set of all integers
c.the set of all integers, the set of all rational numbers, and the set of all real numbers
d.the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

Solution 1

**Answer: c.the set of all integers, the set of all rational numbers, and the set of all real numbers**

**Step-by-step explanation:**

The given number is .

We know that and

Therefore,

Therefore, the value of does not belongs to the set of natural numbers since -3 does not belongs to it.

Since 3,-3 belongs to the set of integers.

**Thus, the value of belongs to the set of integers the set of all rational numbers, and the set of all real numbers **because the set of integers is contained in the set of rationals and the set of rational is contained in the set of real numbers.

Solution 2

I dont think its b because one of the square roots 9 (-3) is not a natural number

I think its choice c

I think its choice c

Question

If f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x) A. x^2=2x-6
B. 2x^2-15
C. x^2+2x+8
D. 2x^3-6

Solution 1

**Answer: The correct option is (A) **

**Step-by-step explanation: **We are given the following two functions :

We are to **find the value of **

We know that

**for any two functions p(x) and q(x), we have**

**Therefore, we get**

**Thus, option (A) is CORRECT. **

Solution 2

f(x)=2x+1 and g(x)=x^2-7

(f+g)(x) = 2x + 1 + x^2 - 7

(f+g)(x) = x^2 + 2x - 6

answer

x^2 + 2x - 6

(f+g)(x) = 2x + 1 + x^2 - 7

(f+g)(x) = x^2 + 2x - 6

answer

x^2 + 2x - 6

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