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3 years ago

90 POINTS!! Right answers will earn brainly.

Mathematics

1 answer:

sveticcg [70]3 years ago

3 0

Answer:

I believe the Science Students have a higher average grade on their respective tests.

Step-by-step explanation:

The mathematics students all scored between 30-40 on their test while the science students scored between 40-50%. This shows that the science students had a larger average score. Hope this helps! Have a great day :)

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\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa

Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

$\mathbf{h = 1.65}$

When she measured the length of the tree's shadow, we have:

$\mathbf{l = 20.9m}$ --- the length of her shadow

$\mathbf{L = 25.35m}$ --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

$\mathbf{h:H = l:L}$

Substitute known values

$\mathbf{1.65:H = 20.9:25.35}$

Express as fractions

$\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}$

Multiply both sides by 1.65

$\mathbf{H=\frac{25.35}{20.9} \times 1.65}$

Simplify

$\mathbf{H=2.00}$

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

5 0

3 years ago

The sum of 9 consecutive numbers is 279. What is the sum of the first and the last number?

tangare [24]

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

4 0

3 years ago

How do you solve for percent increase and percent decrease?

murzikaleks [220]

for increase:

Increase = New Number - Original Number

Then divide the increase by the original number and multiply the answer by 100

For decrease:

Decrease = Original Number - New Number

Then divide the decrease by the original number and multiply the answer by 100

8 0

3 years ago

PLEASE HELP!!

Bezzdna [24]

Answer:

$y=-\dfrac{9}{40}x^2+\dfrac{441}{40}\\ \\y=-\dfrac{9}{160}x^2+\dfrac{1,521}{160}$

Step-by-step explanation:

If a parabola has its vertex on the y-axis, then its equation is

$y=ax^2+b$

This parabola passes through the point R(3,9), then

$9=a\cdot 3^2+b\\ \\9=9a+b$

The area of the right triangle PQR is

$A_{PQR}=\dfrac{1}{2}\cdot PQ\cdot QR$

Find PQ and QR, if $P(x_1,0),\ Q(3,0),\ R(3,9):$

$PQ=\sqrt{(x_1-3)^2+(0-0)^2}=|x_1-3|\\\\QR=\sqrt{(3-3)^2+(0-9)^2}=9$

Now,

$40.5=\dfrac{1}{2}\cdot |x_1-3|\cdot 9\\ \\90=9|x_1-3|\\ \\|x_1-3|=10\\ \\x_1-3=10\ \text{or}\ x_1-3=-10\\ \\x_1=13\ \text{or }x_1=-7$

We get two possible points $P_1(-7,0)$ and $P_2(13,0).$

For point $P_1:\\$

$0=a\cdot (-7)^2+b\\ \\49a+b=0$

So,

$b=-49a\\ \\9=9a-49a\\ \\-40a=9\\ \\a=-\dfrac{9}{40}\\ \\b=\dfrac{441}{40}\\ \\y=-\dfrac{9}{40}x^2+\dfrac{441}{40}$

For point $P_2:\\$

$0=a\cdot (13)^2+b\\ \\169a+b=0$

So,

$b=-169a\\ \\9=9a-169a\\ \\-160a=9\\ \\a=-\dfrac{9}{160}\\ \\b=\dfrac{1,521}{160}\\ \\y=-\dfrac{9}{160}x^2+\dfrac{1,521}{160}$

5 0

3 years ago

. Your school is planning a banquet. The cost of renting a function room is $240. The cost of food is $13 for each person attend

grandymaker [24]

$13•58=754. $754+$240=$994
ANSWER: 13p+240;$994

6 0

4 years ago

Read 2 more answers