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2 years ago

10

You start driving north for 27 miles, turn right, and drive East for another 36 miles. At the end of driving, what is your strai

ght line distance from your starting point?

1 answer:

denis-greek [22]2 years ago

5 0

Answer:

45 miles

Step-by-step explanation:

Use pythagorean theorem:

$27^{2} +36^{2} =45^{2}$

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Fernanda has a collection of 200 seashells from corpus christi she gage her sister one-fifth of her collection how many seashell

8090 [49]

1/5 of 200 is 40 which mean she gave 40 away and she has a 160 left

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2 years ago

Please help asap ill give brainliest :c

Naily [24]

Answer:

Hey there!

You're answer is 1/20.

Step-by-step explanation:

If Mrs. Williams has 1/4 gallon of juice, 1/4 divided by 5 = 1/20.

4 0

2 years ago

Read 2 more answers

Need help filling in the blanks: selling price using markup.

Xelga [282]

Answer:

Refer to the explanation.

Step-by-step explanation:

Let's take each one at a time.

1.

To solve for the complement, we simply subtract our markup rate by 100%.

100% - 30% = 70%

Now to solve for the selling price, we use the formula

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{86.74}{0.70}$

Selling Price = $123.91

2.

We do the same process with the first number.

100% - 40% = 60%

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{220.00}{0.60}$

SellingPrice = $366.67

3.

The same as the first two.

100% - 20% = 80%

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{89.50}{0.80}$

SellingPrice = $111.88

4.

Now to solve for the markup rate, we use the formula:

$MarkupRate=\dfrac{Markup}{SelingPrice}$

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.

Selling Price = $235.28

Cost = $199.99

Markup = $235.28 - $199.99

Markup = $35.29

Now the we know our markup, we can then solve for the markup rate using the formula.

$MarkupRate=\dfrac{Markup}{SelingPrice}$

$MarkupRate=\dfrac{35.29}{235.28}$

MarkupRate = 0.1499 x 100 = 14.99% or 15%

5.

Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

Selling Price = $30.77

Complement = 65% or 0.65

This will then give us.

$30.77=\dfrac{Cost}{0.65}$

We multiple both sides of the equation by 0.65 to leave our cost alone.

30.77 x 0.65 = Cost

Cost = $20

4 0

2 years ago

2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of

Natali5045456 [20]

Answer:

Company B

Step-by-step explanation:

We would use z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8

let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4

z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76

z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35

Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.

6 0

2 years ago

The landing for the steps leading up to a county courthouse is shaped like a trapezoid. The area of the landing is 1500 square f

77julia77 [94]

Answer:

The length of the longer base is 80 feet.

Step-by-step explanation:

We are given that county courthouse is shaped like a trapezoid.

Let the height of the court house be h

Since we are given that The shorter base of the trapezoid is 15 feet longer than the height.

So, the shorter base = h+15

We are also given that The longer base is 5 feet longer than 3 times the height

So, longer Base = 3h+5

Now we are also given that the area of the landing is 1500 square feet.

Formula of area of trapezium :

= $\frac{1}{2} *(\text{Length of longer base}+\text{Length of shorter base})*height$

Substituting the values .

$1500=\frac{1}{2} *(h+15+3h+5)*h$

$1500=\frac{1}{2} *(4h+20)*h$

$1500*2=(4h+20)*h$

$3000=4h^2+20h$

Taking 4 common from the equation.

$750=h^2+5h$

$h^2+5h-750=0$

$h^2-25h+30h-750=0$

$h(h-25)+30(h-25)=0$

$(h-25)(h+30)=0$

⇒ h = 25, -30

Neglect the negative value .

So, height = 25 feet.

Length of Longer base = 3h+5 =3*25+5=80 feet

Hence , the length of the longer base is 80 feet.

6 0

3 years ago