Answer:
The girl was 144cm tall
Step-by-step explanation:
Total height of the three boys=3×156=468
Total height of the four children=4×153=612
Height of the girl=612-468=144cm
The average height of 3 boys was 156cm. Therefore, The girl was 144cm tall.
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
The average height of 3 boys was 156cm.
When a girl joined them, the average height of the 4 children was 153cm.
Total height of the three boys = 3 × 156 = 468
Total height of the four children = 4 × 153 = 612
Height of the girl = 612 - 468 = 144cm
Hence, the girl was 144cm tall.
Learn more about average here:
https://brainly.com/question/12322912
#SPJ2
The table gives the prices of a few items sold at a school cafeteria.
Item Cost
Bagel $2.00
Juice $0.90
Sandwich $3.00
Cupcake $1.50
Match the prices with the sets of items purchased by students.
-
$12.50
$15.00
$10.00
$11.60
-
2 bagels and 4 cupcakes
5 juices and 4 bagels
4 bagels and 4 juices
4 sandwhiches and 2 cupcakes
Answer:
$10.00 - 2 bagels and 4 cupcakes
$11.60 - 4 juices and 4 bagels
$12.50 - 5 juices and 4 bagels
$15.00 - 4 sandwhiches and 2 cupcakes
Also, Why does everyone like bagels so much???????
The regular octagon shown is divided into 8 congruent triangles. Each triangle has an area of 21.7 square centimeters. The
Perimeter of the octagon is 48 centimeters.
The length of the octagon is 6cm, the area is given by 3h and the height is 7.23 cm.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Given the octagon with a perimeter of 48 cm
Let's say the length of each side is a
Perimeter = 8a
8a = 48
a = 6cm
Now,
The area of the triangle is given by
A = 1/2 × Base × Height
A = 1/2 × 6 × h
A = 3h
Now
A = 3h and the area is 21.7 cm²
So,
h = 21.7/3 = 7.23 cm
Hence "The length of the octagon is 6cm, the area is given by 3h and the height is 7.23 cm".
For more information about triangles,
https://brainly.com/question/2773823
#SPJ2
Given question is missing an image of the octagon is given below;
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
[tex]2 \sqrt{15} [/tex]
Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?
1/30
9/125
12/125
1/10
Answer:
The answer correct answer is 1/30
Step-by-step explanation:
Answer:
1/30
Step-by-step explanation:
Find the 93rd term of the arithmetic sequence -5, -15, -25, ...−5,−15,−25,...
Answer:
The nth term will be:
[tex]a_{93}=-925[/tex]Step-by-step explanation:
Given the sequence
-5, -15, -25, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-15-\left(-5\right)=-10,\:\quad \:-25-\left(-15\right)=-10[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-10[/tex]
The first element of the sequence is:
[tex]a_1=-5[/tex]
Thus, the nth term will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting the values [tex]d=-10[/tex]; [tex]a_1=-5[/tex]
[tex]a_n=-10\left(n-1\right)-5[/tex]
[tex]a_n=-10n+5[/tex]
Plug in n = 93 to determine the nth term
[tex]a_{93}=-10\left(93\right)+5[/tex]
[tex]a_{93}=-930+5[/tex]
[tex]a_{93}=-925[/tex]
Therefore, the nth term will be:
[tex]a_{93}=-925[/tex]A surfboard was originally priced at $199. The store reduced the price by 10%. A customer bought the surfboard using a coupon for $20 off. How many dollars did the customer pay?
Answer:
$159.1
Step-by-step explanation:
Given that:
Original price of surfboard = $199
Reduction of price done = 10%
Then a coupon is used by a customer for $20 off.
To find:
How many dollars were paid by the customer?
Solution:
First of all, let us find the price after the reduction of 10% from the original price.
10% of $199 = [tex]\frac{10}{100}\times 199 = \$19.9[/tex]
This price is reduced from the original price.
Price after reduction = $199 - $19.9 = $179.1
Now, again there is coupon of $20.
Therefore, final price that the customer had to pay = $179.1 - $20 = $159.1
Write 0.047883 correct to 2 significant figures
Answer:
0.048
explanation:
Select the correct answer. Which is the simplified form of the expression ? A. B. C. D. here is a photo of it and 40 points and who ever gives me answer marked brainlyest
We are to simplify the expression given
The simplified form of the expression is option B. 67/10x + 9
Given:
= 3(7/5x + 4) - 2(3/2 - 5/4x)
= [tex] \frac{21}{5} x + 12 - \frac{6}{2} - \frac{10}{4} x[/tex]
= 21/5x + 12 - 6/2 + 10/4x
collect like terms
= 21/5x + 10/4x + 12 - 6/2
= (84x+50x)/20 + (24-6)/2
= 134/20x + 18/2
= 67/10x + 9
Read more:
https://brainly.com/question/1280754
Answer: 67/10x + 9 would be your answer.
4x-8y=-26 9x+4y=13
Please help
Answer:
X = 0
Y = 3.25
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
x = 0
y = 3.25
Step-by-step explanation:
You can do elimination. Multiply (9x + 4y = 13) by 2
4x - 8y = -26
18x + 8y = 26
22x = 0
x = 0
4(0) - 8y = -26
-8y = -26
y = 3.25
simplify the expression 3 √ 2 - 5 √ 18
80 points
which of the following points are the first quadrant of the XY-plane ? (there’s more than one answer!)
pls help!
picture to help
Answer:
A and c
Step-by-step explanation:
Answer and Step-by-step explanation:
This is the first quadrant. ^
|
|
Q2 | Q1
|
|
|
<--------------------------------------------------|------------------------------------------------------->
|
|
|
Q3 | Q4
|
|
V
So, anything in the first quadrant would be positive (for both values of x and y).
That means E and F are the correct choices, since both (4, 8) and (2, 2) are positive and would be found in the first quadrant.
#teamtrees #WAP (Water And Plant)
F
is directly proportional to
a
.
If
F
=
24
when
a
=
8
find,
F
when
a
=
6
Answer:
F=6*24/8.....F=6*3=18
The area of a square is 100 square centimeters.
What is its perimeter?
OA. 40 centimeters
OB. 50 centimeters
OC. 80 centimeters
OD. 100 centimeters
OE. 400 centimeters
Answer:
answer choice a
Step-by-step explanation:
..............
pleeeese help. the question is easy
Answer:
the answer is : -2x^2+13
Step-by-step explanation:
pls mark brainliest plspls
oh and btw hows ur day been going, hope good, make sure to not forget to drink water :)
give an example of infinite solution
Answer:
?
Step-by-step explanation:
HELP ASAP PLEASE THANK YOU
Answer:
I believe X= 15
Step-by-step explanation:
If I get $18 (USD) every 2 weeks and I start with $45.01 how many weeks will it take to get to $130.17?
can someone help me, i also need you to explain if you can? if not, that’s ok.
Answer:
sam and eric are going on a trip and thought to rent a car. they have to pay a fee of 30 dollars and an extra 7 dollar for each hour they take. sam and eric's are planned to spend $205 or less. how many hours can eric and sam rent the car?
Step-by-step explanation:
first assign a value for the variable, I will take H as hours
Answer:
Sorry i dont know
Step-by-step explanation:
please help me on this!!
Answer:
a-4
b-3
c-1
Step-by-step explanation:
One teacher wants to give each student 2/3 of a slice of pizza. If the teacher has 6 slices of pizza, then how many students will she be able to hand out pizza to?
H = -16t^2 + 84t + 100 what is maxium height
Answer:
[tex]H=210.25\ \text{units}[/tex]
Step-by-step explanation:
Given that,
[tex]H = -16t^2 + 84t + 100[/tex] ...(1)
We need to find the maximum height
For maximum height, put dH/dt = 0
[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]
Put t = 2.625 in equation (1)
[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]
Hence, the maximum height [tex]=210.25\ \text{units}[/tex]
One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y meters.
Answer:
x=(y .91)
Step-by-step explanation:
1 yard means only 1 x
.91 meters which is y
Solve for x please help me out
Answer: x=5, choice D
Step-by-step explanation:
you have two vertical angles
11x=55
55/11=5
x=5
(Linear Equation) solve by the Elimination method
3x-2y=11 (I)
x-4y=3
Answer:
x = 3.8 , y = 0.2
Step-by-step explanation:
Answer:
[tex]\huge\boxed{x=\dfrac{19}{5};\ y=\dfrac{1}{5}\to\left(\dfrac{19}{5};\ \dfrac{1}{5}\right)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}3x-2y=11&|\text{multiply both sides by (-2)}\\x-4y=3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-6x+4y=-22\\x-4y=3\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad-5x=-19\qquad|\text{divide both sides by (-5)}\\.\qquad\boxed{x=\dfrac{19}{5}}[/tex]
[tex]\text{Substitute it to the second equation}\\\\\dfrac{19}{5}-4y=3\qquad|\text{multiply both sides by 5}\\\\19-20y=15\qquad|\text{subtract 19 from both sides}\\\\-20y=-4\qquad|\text{divide both sides by (-20)}\\\\y=\dfrac{4}{20}\\\\\boxed{y=\dfrac{1}{5}}[/tex]
Here are the ingredients needed to make 8 biscuits.
Biscuits
To make 8 biscuits
90g of butter
35g of sugar
125g of flour
Hamid has 315g of butter
150g of sugar
500 g of flour
Work out the greatest number of biscuits Hamid can make.
The greatest number of biscuits Hamid can make is 28.
What is the greatest number of biscuits Hamid can make?The first step is to determine the quantity of each ingredient needed to make 1 biscuits.
Grams of butter needed to make 1 biscuit : 90 / 8 = 11.25gGrams of sugar needed to make 1 biscuit : 35 / 8 = 4.38gGrams of flour needed to make 1 biscuit : 125 / 8 = 15.63gNow determine the number of biscuits that can be made using each of the ingredients
Butter = 315 / 11.25 = 28Sugar = 150 / 4.38 = 34Flour = 500 / 15.63 = 32To learn more about ratios, please check: https://brainly.com/question/19257327
#SPJ1
Im confused on this can someone help me out
pls help i got stuck
Answer:
The sum is -14
Step-by-step explanation:
To solve this problem , first you should look at key words. The key word is SUM. What does sum mean? Sum means ADDING or addition. So, you know what operation to use and then ADD the values of the 3 cards. -12+3+-5 = -14.
So the sum of the values are Of LuAnn's three cards is -14. Hope it helps!
~ Happy holidays
how many times does 80 go into 766 i need it asap
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 9.575
help me find the slope
How to do this question -14=k-4
Answer: hope this helps .
Step-by-step explanation: