Refer to the figure. Given a is parallel to be and 7 = 94, find the measure of the following angles.

Sonya planted a flower garden of tulips, daisies and lilies. She planted 2 times as many tulips as daises and 3 tomes as many da

RideAnS [48]

70 flowers were planted in all.

Step-by-step explanation:

Let,

Tulips = t

Daises = d

Lilies = l

Total tulips planted = 42

She planted 2 times as many tulips as daises.

t=2d

Putting t=42

$42=2d\\2d=42$

Dividing both sides by 2

$\frac{2d}{2}=\frac{42}{2}\\d=21$

And 3 times as many daisies as lilies.

d=3l

Putting d=21

$21=3l\\3l=21$

Dividing both sides by 3

$\frac{3l}{3}=\frac{21}{3}\\l=7$

Total flowers planted = Tulips + Daisies + Lilies

Total flowers planted = 42 + 21 + 7 = 70

70 flowers were planted in all.

Keywords: division, addition

Learn more about addition at:

#LearnwithBrainly

3 0

3 years ago

A ski club with 28 members went on a ski trip. some members rented skis and the rest rented snowboards. if skis rent for $16.00

Nat2105 [25]

$there \ are \ 28 \ members \\ the \ number \ of \ members \ renting \ skis - x\\the \ number \ of \ members \ renting \ snowboards - y\\skis \ rent \ for \ \$16.00 \ a \ day \ and \ snowboards \ rent \ for \ \$19.00 \ a \ day\\\\\begin{cases} x+y=28 \ \ / \cdot (-16) \\ 16x+19y = 478 \end{cases}$

$\begin{cases} -16x-16y=-448 \\ 16x+19y = 478 \end{cases}\\+ -------\\3y=30 \ \ / :3 \\y=10 \\ \\
x+y=28\\x+10=28\\x=28-10\\x=18 \\ \\ Answer: \ 18 \ members \ rented \ skis .
$

7 0

3 years ago

A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

A. in terms of the number of marked elk, what is the relative frequency of male elk, female elk, adult elk, and baby elk? write

mash [69]

The relative frequency of the marked elks are:

Male Elk = 7/30
Female Elk = 4/15
Adult Elk= 173/450
Baby Elk = 26/22

<h3>How to determine the relative frequency?</h3>

From the complete question, we have:

Male = 105
Female = 120
Adult = 173
Baby = 52
Total = 450

The relative frequency of each is then calculated as:

Male Elk = 105/450

Male Elk = 7/30

Female Elk = 120/450

Female Elk = 4/15

Adult Elk= 173/450

Baby Elk = 52/450

Baby Elk = 26/22

<h3>The number of Elks in the park</h3>

Using the data in (a), we can conclude that:

There are 105 male, 120 female, 173 adult, and 26 baby in the park