Answer:
[tex]Ratio = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Vertical length / Horizontal length
From the attachment, we have:
[tex]y = 4\ units[/tex] --- the vertical length of the larger triangle
and
[tex]x = 6\ units[/tex] --- the horizontal length of the larger triangle
So, the ratio is:
[tex]Ratio = \frac{y}{x}[/tex]
[tex]Ratio = \frac{4\ units}{6\ units}[/tex]
[tex]Ratio = \frac{4}{6}[/tex]
Divide by 2
[tex]Ratio = \frac{2}{3}[/tex]
A school communoty had planned to reduce the number of grade 9 students per class room by constructing additional class room however they constructed 4 less rooms than they planned As the result tye number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class (I need instant help)
Here is my solution. I hope it is helpful.
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50
Answer g
Step-by-step explanation:
g
Answer:
don't know i tell true
Step-by-step explanation:
Find the area of an equilateral triangle with side length 4.6 cm. Round your answer to 1 DP.
Answer:
A = 9.2 cm²
Step-by-step explanation:
A = 1/2 bh, you know the base = 4.6 and you need to find the height of the triangle.
Drawn the attitude of the equilateral triangle to the base and use a² + b² = c²
c = side of the triangle = 4.6 , b = 1/2 0f 4.6 = 2.3 . the attitude to the base ÷ the base in half.
a² + (2.3)² = (4.6)²
a² + 5.29 = 21.16
a² = 21.16 - 5.29
a² = 15.87
[tex]a = \sqrt{15.87}[/tex]
Now we know the height of the triangle = [tex]\sqrt{15.87}[/tex] , the base = 4.6
A = 1/2bh
A = 1/2 (4.6)([tex]\sqrt{15.87}[/tex] )
A = 9.1625
A = 9.2 cm² or the A of any equilateral triangle = [tex]\frac{\sqrt{3} }{4} s^2[/tex]
A = [tex]\frac{\sqrt{3} }{4} (4.6)^2[/tex]
A = 9.1625
A = 9.2
can somebody help me
The ratio of the number of pears to the number of apples in the basket was 3 : 5 After Sean ate 2 apples, there were still 2 more apples than pears. How many pears were there in the basket?
Answer:
6 pears
Step-by-step explanation:
The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.
The original ratio is ...
6 pears : 10 apples
There were 6 pears in the basket.
Find the area of trapezium where area=5cm base=6cm height=8cm
Answer:
44cm2
Step-by-step explanation:
[8×(5+6)]/2
=(8×11)/2
=88/2
=44cm2
The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How many bales of hay are the horses fed each day?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/2 of a bale
Step-by-step explanation:
1/4 times 2 equals 1/2
PLEASE HELP. Select the correct shapes.
Select the shapes that are similar to shape A.
Answer:
There is only one shape who is similar to A which is the pink one.
Step-by-step explanation:
Which two lines are parallel?
1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1
A. 1 and 3
B. 2 and 3
C. None of the lines are parallel.
D. 1 and 2
true or false Canada's indigenous people originally came from Asia
Answer:
True
Step-by-step explanation:
They came from east Asia
I hope this helps!
John had $55. He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the amount of money he had after splitting the money with his cousins.
55 – 3 • 9 + 12 ÷ 3
Based on this expression, what is the amount of money John had remaining?
A.$160
B.$32
C.$24
D.$20
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
6 remainder 1 as a fraction
9-3÷1/3+1
can you pleas solve this question
please hurry
Answer:
9
Step-by-step explanation:
pemdas
9-3÷1/3+1
division
3 and 1/3 becomes 1
we have 9-1+1
which simplifies to 9
What is the slope of the line containing the points (-6,4) and (2,1)
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answer:
20.
Step-by-step explanation:
We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:
4/10=x/50.
Cross-multiplying, we have 200 = 10x, and x = 20.
What percentage of 50 is 12?
Answer:
that would be 24%
Step-by-step explanation:
Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.
Answer:
24%
Step-by-step explanation:
the fraction form is 24/100, meaning the percentage is 24% put of 100%
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups
PLEASE HURRY ITS A TEST AND TIMED
write the sum and then write an equivalent expression by collecting like terms and removing parentheses the opposite of (5x - 1) and 5x
Answer:
remove the bracket 5x-1+5x collect like term 5x+5x-1
10x-1 is the answer
need help on this I need all work shown as well, the subject is on similar triangles
Answer:
10 in
Step-by-step explanation:
If you draw a line parallel to the side of the cone through the center of the 10-inch (radius) circle, you create a right triangle with one leg 10 inches and a hypotenuse of 20+10 = 30 inches. It is similar to the right triangle shown on the diagram with leg 10 inches. That means the distance from the center of the 10-inch (radius) ball to the bottom of the cone is 30 inches.
Subtract from that the 10-inch radius and the 10-inch diameter of the two bottom balls shown, and you find the distance from the base of the smallest ball to the bottom of the cone is 30 -10 -10 = 10 inches.
One oval weighs how much
Answer:
5.5
Step-by-step explanation:
11 divided by 2 is 5.5
Factor 42x+28y using the GCF
Answer:
14 (3x+2y)
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
A school bookstore has the following items for sale.
A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.
Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.
$
11.56
Part B
Traci uses partial products to find the cost of 14 pencils.
A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.
Which explains whether or not Traci’s partial products are correct?
Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.
Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.
Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.
Traci's partial products are correct. The actual cost is $22.40.
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
Carlo and his two brothers helped to decorate the house for the party. Each of them blows 12 balloons. But 5 balloons pop. How many balloons do they have for decoration.
Answer:
31
Step-by-step explanation:
thye blow up 36 balloons in total but 5 pop 36-5=31
1 – 2x + 3y for when X = – 2 and y = – 5
Answer:
-12
Step-by-step explanation:
1-2x+3y
1-2(-2)+ 3(-5)
1-4-9
= -12
If ab =12 and a²+b²=25, then (a+b)²= ?
Recall that
(a + b)² = a² + 2ab + b²
Then
(a + b)² = 25 + 2•12 = 49
Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)
A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored
Answer:Nooo please don’t put B. It’s A,C, and D
Step-by-step explanation:
If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?
Step-by-step explanation:
So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
5×24÷9
And your final answer will be
13 1/3 pounds