Complete question :
Last year there were 221 students and 13 teachers at Hillard School. This year there are 272 students. The principal wants to keep the same student-to-teacher ratio as last year. Which proportion can the principal use to find x, the number of teachers needed this year?
Answer:
221 / 13 = 272 / x
Step-by-step explanation:
Given that :
Last year:
Number of students = 221
Number of teachers = 13
Last year:
Number of students = 272
Number of teachers = x
To keep the same student to teacher ratio :
We equate the ratio for both years :
221 / 13 = 272 / x
221x = 272 * 13
221x = 3536
x = 3536 / 221
x = 16
Si los conjuntos:
K = {a; x + y}
L = {a + 1; x – y}
Son iguales, halla el valor de ( x - a) a la 2Y
In triangle PQR, angle P and R are complementary angles where cos P =(0.3) what is the measure in degrees of angle R round to the nearest tenth
Answer:
[tex]R = 17.5[/tex]
Step-by-step explanation:
Given
P and R are complementary
[tex]Cos\ P =0.3[/tex]
Required
Find the measure of R
[tex]Cos\ P =0.3[/tex]
Take arccos of both sides
[tex]P = cos^{-1}(0.3)[/tex]
[tex]P = 72.5[/tex]
Since P and R are complementary, then:
[tex]P + R = 90[/tex]
Make R the subject
[tex]R = 90 - P[/tex]
Substitute values for P
[tex]R = 90 - 72.5[/tex]
[tex]R = 17.5[/tex]
Mia bought 2 adult tickets and 4 kid's tickets. Each adult ticket cost $13.50 and each kid ticket cost $10.25. How much did Mia spend on tickets
Answer:
Mia spent 68 dollars.
Step-by-step explanation:
The equation would be 2(13.50) + 4(10.25) = x
Solving for the first part, you get 27 for adult tickets and 41 for the children tickets. When you add the two values, you get 68.
Solving 2 step equations
5 ( x + 4 ) = 30
The radius of a circle is 14 miles. What is the circle's circumference?
Answer:
The circumference is 87.96
Step-by-step explanation:
Multiply 2 and pi and 14 together and you will get this answer
Formula: C=2πr
In HIJ, the measure of J=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
Answer:
28.5
Step-by-step explanation:
28.5 delta said it was correct
A fence is being built around the local park in order to ensure the safety of children as they play. The rectangular park is 15 meters long and 10 meters wide. The builders need to determine how much fencing is needed. To figure this out, the builders need to find the of the park. The builders need meters of fencing.
Answer:
1. perimeter
2. 50
Step-by-step explanation:
Answer:
perimeter abd 50!
Step-by-step explanation:
its correct on edge!
Can someone help me with this one!!
if i got shorts for 30 dollars and the original price was 40 what was the discount
Answer:
25%
Step-by-step explanation:
30/40 = 0.75 = 75% paid
100-75 = 25% discount
Answer:
[tex]25\%[/tex]
Step-by-step explanation:
To find the discount of an object, one must set up the equation, the difference between the original and the paid price, over the original price, equals percent over 100. In essence;
[tex]\frac{(original-paid)}{original}=\frac{percent}{100}[/tex]
Substitute in the given values;
[tex]\frac{(40)-(30)}{40}=\frac{percnet}{100}[/tex]
Solve;
[tex]\frac{10}{40}=\frac{percent}{100}[/tex]
Simplify,
[tex]\frac{1}{4}=\frac{percent}{100}[/tex]
Cross products,
[tex]100 = 4(percent)[/tex]
Inverse operations,
[tex]100=4(percent)\\/4\\\\25 = percent[/tex]
WILL GIVE BRAINLIEST!
The Ride for Health Bicycle Club has chosen a 36-mile course for this Saturday's ride. If the riders plan on averaging 12 mph while they are riding, and they have a 1-hour lunch break planned, how long will it take them to complete the trip?
hr
Answer:
4 hours
Step-by-step explanation:
It is 4 hours because you do 36 divide by 12 which is 4, Then you do 4x1= 4
What the answer for y? Please help...
Answer:
y = 0.02
Step-by-step explanation:
You can see in the table that there is only one value which represents only y, (0, 0.02) since x is 0.
Hope this helps and stay safe, happy, and healthy, thank you :) !!
Write the equation of the absolute value function y = 3|x| translated right 8 units and up 1 unit.
Answer:
Step-by-step explanation:
y=3|x|, shift right 8 units
y=3|x-8|, shift up 1 unit
y=3|x-8|+1
help me please i appreciate it.
Answer:
c
Step-by-step explanation:
because all the three laws are applicable for polygons
Overview
2
3
4
5
6
7
8
g
10
11
Question Progress
Homework Progress
8/ 46
There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1:1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.
I
Answer:
2:3
Explanation:
Pack 48 48/2 =24
Red= 24 24/24 : 24 / 24
Black = 24 1:1
----------------------------------------------------------------
Pack 48 48/2 = 24
Red= 16 24 / 16 : 24 / 24
Black= 24
16:24
4:6
2:3
Solve by taking square roots x 2 - 2 = 79
Answer:
9
Step-by-step explanation:
x^2 - 2 = 79
The first step is to get rid of the 2 on the left side. You do this by adding two on both sides. You should then get x^2 = 81.
Now, you have the just take the square root of 81, which is 9.
Solve for the variable
3n-8=4
Answer:
n = 4
im not good at explaining by text but i hope this helps
Step-by-step explanation:
3n - 8 = 4
you want the variable by itself so you will start with the number without the variable
3n - 8 = 4
next to the 8 is a - sign so it will is negative now it has to be the opposite
3n - 8 = 4
+8. +8
you cancel out the 8 and 4+8 is 12
now you have to do 12 ÷ 3 to get the variable by itself
12 ÷3 is 4
Sydney ran 4 miles in 1 hour and 20 minutes. What was Sydney's average speed in miles per minute?
Enter the product.
27
X 7
Answer:
189
Step-by-step explanation:
7 x 27 = 189
A product is the result of a multiplication problem.
27 * 7 = 189
Your answer: 189
please help i really need it
Answer:
D
Step-by-step explanation:
This equation is in factored form. Meaning you can find the x intercepts of the graph from it. All you need to do is find reverse the numbers inside the parentese. So if its negative, make it positive, if its positive, make it negative. By doing this, you should find that the x-intercepts of this graph are 2 and 3 and the donly graph with x-intercepts at these places is graph d.
Please help! I need this fast
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?
(7x + 2) feet
(2x + 7) feet
(2x − 7) feet
(7x − 2) feet
Answer:
(2x + 7) feet
Step-by-step explanation:
I'm guessing the expression there is
4x² + 28x + 49
4x² +14x +14x +49
Factorize
2x ( 2x + 7) +7( 2x + 7)
(2x + 7)²
Area = (side)1
One side is (2x +7)
In a survey of 706 parents with kids 4 to 8 years old. 346 say that they know their state booster seat law. Construct a 90% confidence interval for the population proportion.
Answer:
(0.46, 0.52)
Step-by-step explanation:
The formula for Confidence Interval with Proportion
CI = p ± z × √p(1 - p)/n
Where
p = Proportion = x/n
x = 346
n = 706
p = 346/706
p = 0.49
z = z score of Confidence Interval 90% = 1.645
Therefore:
CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706
CI = 0.49 ± 1.645 × √0.49 × 0.51/706
CI = 0.49 ± 1.645 × 0.0188139843
CI = 0.49 ± 0.0309490042
Hence:
Confidence Interval is
0.49 - 0.0309490042
= 0.4590509958
≈ 0.46
0.49 + 0.0309490042
= 0.5209490042
≈ 0.52
Therefore , the confidence interval of the population proportion is
(0.46, 0.52)
there's the question :))
Answer:
Should be A
Step-by-step explanation:
You going back 3 spaces but than having that three be divided by a positive so it's going to keep going because a negative will make a negative so that positive will be turned into a negative. -3 - 1.5 = -4.5
Can you please help me
Help me I don't get it 10 points + brainliest
The low temperature on Wednesday was –15°F. What was the absolute value below zero for the temperature on Wednesday?
A)-15
B)0
c)15
D)30
Answer:
C. 15
Step-by-step explanation:
Absolute value is just how far away the number is on the number line and is always positive.
Anyone know the answer to this problem (find the values of x and y)
Answer:
y = 8
x = 4
Step-by-step explanation:
This is a special right triangle with angle measures of 90 60 30 and the side lengths are represented by a - a√3 - 2a
The side length that sees angle measure 30 is a
The side length that sees angle measure 60 is a√3
The side length that sees angle measure 90 is 2a
if the side length that sees angle measure 60 is given as 4√3 then that means a = 4
so x = 4 and 2x = 8
Find the solution for the equation and check it.
n-3=-1
Solution:
Check:
Answer:
n = 2
Step-by-step explanation:
-1 + 3 = 2
The measures of the three angles of a triangle are given by 4x -1, 2x + 1, and 6x. What is the measure of the largest angle? A 15° B 31° C.59° D. 90°
Answer:
D. 90°
Step-by-step explanation:
6x + 4x - 1 + 2x + 1 = 180
12x = 180
x = 15
6x = 6 * 15 = 90
Answer: D. 90°
What is the opposite and the absolute value of 3?
The opposite of 3 is 3. The absolute value of 3 is 3.
The opposite of 3 is -3. The absolute value of 3 is 3.
The opposite of 3 is 3. The absolute value of 3 is -3.
The opposite of 3 is -3. The absolute value of 3 is -3.
Answer:
Option D) The opposite of 3 is -3. The absolute value of 3 is -3.
Step-by-step explanation:
On a number line, if you go three to the right from 0, you get 3. But if you go the same amount to the left of 0, you would get -3. I can't think of any other way to explain the opposite. The absolute value is usually the same number but the absolute value is usually the same number, but it's opposite.
I hope i explained that well and that you do well on your test!
PLEASE HELP ME ASAP(WORTH 30 POINTS). If the domain is {0, 2, -6}, what is the range of y = -2x + 3?
Answer:
Range = {3, -1, 15}
Step-by-step explanation:
Domain = {0,2,-6}
function : y= -2x + 3
We replace the value of x with domain,
when x = 0
y = -2 × 0 + 3
y = 3
When x = 2
y = -2 × 2 + 3
y = -1
When x = -6
y = -2 × -6 + 3
y= 12 + 3
y = 15