Answer:
63 people
Step-by-step explanation:
Given parameters:
Number of students survey = 32
Number of those that liked ice-cream = 8
Total population size = 252
Unknown:
How many people in the population should prefer ice cream = ?
Solution:
From the survey;
8 out of 32 students prefer ice cream;
8 : 32
1: 4
This shows that 1 out of 4 students will prefer ice cream
NOw to the total population;
If out of 4 students, 1 prefers ice-cream;
Out of 252 students y will prefer ice-cream
Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]
sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]
c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
After 22 games, JD Drew has 32 hits. After 36 games he has 60 hits. Write a linear equation in slope intercept form to describe the situation. How many hits with JD Drew have after 50 games
Answer:
JD Drew will have 88 hits after 50 games
Step-by-step explanation:
Linear Modeling
It consists of modeling real-life situations by a function whose graph is a straight line.
The equation of a line can be expressed as:
h=m.g+b
h=number of hits JD Drew has
g=number of games
m,b= constant values
The problem provides two conditions: after 22 games, JD Drew has 32 hits. This is the point (22,32). Also, it has been given after 36 games he has 60 hits. This is the point (36,60).
Substituting the ordered pairs given, we have:
32=m.22+b
60=m.36+b
Subtracting both equations:
60 - 32 = 14m
28 = 14m
Solving:
m = 2
Using the first equation:
32 = (2)*22+b
32 = 44 + b
Solving:
b = -12
The model is now complete:
h = 2g - 12
Finally, calculate the number of hits for g=50 games:
h = 2*50 - 12
h = 100 - 12 = 88
JD Drew will have 88 hits after 50 games
12=6x+3y solve for y
Answer:
1 1/3 = y
Step-by-step explanation:
12 = 6x + 3y
12 = 9y
12/9 = y
1 1/3 = y
Hope this helped!
8/3 × (−2 1/2) = ?
Thanks!
Answer: -20/3
Step-by-step explanation:
Answer: It equals -8/3
15= 3x−15 what is x?
Answer:
x = 10
Step-by-step explanation:
Original Equation:
15 = 3x - 15
Add 15 to both sides
30 = 3x
Divide both sides by 3
10 = x
Hope this helped :)
Please consider Brainliest :)
x = 10
All you have to do is add 15 to both sides, and you have
30 =3x
and divide by 3
you get
10 = x
What is the value of x?
G
Yo
530
45°
F
H
Answer:
Don t get the question
Step-by-step explanation:
NEED HELP ASAP!! need anwsers for 3 & 5
Answer:
y
x
Step-by-step explanation:
simple stuff, which part don't you get?
22+54=y+16 whats the answer
Answer:
y=60 or 60=y
Step-by-step explanation:
22+54= 76
76=y+16
60=y or the other way around
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
What is the average speed in miles per hour of a car that travels 961.95 miles in 15.9 hours.
Answer:
60.5 miles per hour
Step-by-step explanation:
Take the miles driven and divide by the hours
961.95 miles/15.9hours
60.5 miles per hour
Answer:
60.5 miles per hour
Step-by-step explanation:
961.95 divided by 15.9 should give you your answer which is 60.5
what type of triangle is ️abc as defined by its sides and angles
a. acute scalene
b. obtuse isosceles
c. right scalene
d. acute isosceles
Answer: d) acute isoceles
Step-by-step explanation:
it has 2 acute angles and it's isoceles because it has 2 sides of equal length
Answer:
d. acute isosceles
Step-by-step explanation:
ABC had two sides that are equal so it is an isosceles triangle
<B = 90-44 = 46
A and C must be equal
A + B + C = 180
A + 46 + B = 180
2A = 180- 46
2A = 134
A = 67 so C = 67
All angles are acute
Antonia buys a 5-pound bag of onions at the store for $2.65. To the nearest cent, how much did she pay for 1 pound of onions?
Answer:
Around .53 cents for 1 pound
Step-by-step explanation:
Answer:
53 cents
Step-by-step explanation:
2.65 divided by 5 is .53 (53 cents)
Therefore, Antonia payed 53 cents for 1 pound of onions. Honestly though, I think Antonia is kinda gross... I mean 5 POUNDS OF ONIONS?!?!? Disgusting.
Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?
Answer:52 miles per hour
Step-by-step explanation:
plz help me!! Polynomial Long Division (Level 2)
A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?
Answer:
No.
Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.
f (x) = -43 +7
Using the function above, evaluate f (-2).
help please i dont wanna fail
Answer:
it'd be 3,752
Step-by-step explanation:
since the perimeter is 268 X 14 = your answer
Find the slope of the line described by:
X -6y= -9
write answer as a fraction
what is the answer to 6y * 88 = 88 * 6y
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answer:
A
Step-by-step explanation:
Find two integers whose sum is -9 and product is -10
Maria needs 23 ounces of water and 57 gallons of milk. The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99. If The water is supposed to be measured in ounces how many ounces is the milk going to be measured in and how much would it cost,
Given :
Maria needs 23 ounces of water and 57 gallons of milk.
The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99.
To Find :
How many ounces is the milk going to be measured in and how much would it cost.
Solution :
We know, 1 gallon = 128 ounces.
So, 57 gallon of milk = 57×128 = 7296 ounces.
Cost of 1 gallon milk = $9.20 .
So, cost of 57 gallon is = 57×9.20 = $524.4
Therefore, volume in ounces is 7296 and cost is $524.4 .
Hence, this is the required solution.
What is the solution set of the equation below? 3|5 − x| + 2 = 29
Answer:
x=-4
x=14
Step-by-step explanation:
Absolute Value Equation entered :
3|5-x|+2=29
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|-x+5|+2 = 29
Another term is moved / added to the right hand side.
3|-x+5| = 27
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|-x+5|
For the Negative case we'll use -3(-x+5)
For the Positive case we'll use 3(-x+5)
STEP
3
:
Solve the Negative Case
-3(-x+5) = 27
Multiply
3x-15 = 27
Rearrange and Add up
3x = 42
Divide both sides by 3
x = 14
STEP
4
:
Solve the Positive Case
3(-x+5) = 27
Multiply
-3x+15 = 27
Rearrange and Add up
-3x = 12
Divide both sides by 3
-x = 4
Multiply both sides by (-1)
x = -4
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
x=14
x=-4
Solutions on the Number Line
Two solutions were found :
x=-4
x=14
least to greatest 8/9 6/9 5/9 7/9
Answer:
5/9 6/9 7/9 8/9
The items Pedro has selected at his local hardware store have a total cost of $130 before tax. If the sales tax is 8.25%, which is closest to the amount of sales tax Pedro can
expect to pay?
Answer: $10.7
Step-by-step explanation:
The following can be deduced from the question:
Total cost of items = $130
Percentage of Sales tax = 8.25%
Sales tax = Sales tax percent × Cost
Sales tax = 8.25% × $130
Sales tax = 8.25/100 × $130
= 0.0825 × $130
= $10.725
= $10.7
Please answer will mark brainliest
What is a ratio equal to 56:64
Answer:
A ratio equal to 56:64 would be 7:8.
Step-by-step explanation:
7:8 is the simplest form
Answer:
Simplify it to get an equivalent ratio, i.e 7:8!
Hope this helps :))
Which equation below could be used to solve the following problems? Karlie has a
collection of quarters, dimes, and nickles that equal $2.70. If she has 7 quarters and 7
nickles, how many dimes (d) does she have?
A. 0.10d + 7(0.25) + 7(0.5) = 2.70 ; d = -25.5
B. 0.10d + 7(0.25) + 0.05 = 2.70 ; d = 9
C. 10d +7(25 + 5) = 2.70 ; d = 20
D. 0.10d + 7(0.25 + 0.05) = 2.70 ; d = 6
Answer:
Step-by-step explanation:
0.25×7+0.05×7+0.10d=2.70
7(0.25+0.05)+0.10d=2.70
7(0.30)+0.10d=2.70
2.10+0.10d=2.70
0.10d=2.70-2.10
0.10d=0.60
d=0.60/0.10=6
Hence D
A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.
Answer:
(1,6)
Step-by-step explanation:
Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)
who ever answers i will give brainliest :>
Answer: a) 4 b) -3 c) 2
Step-by-step explanation:
a) m = (6 - 2)/(1 - 0) = 4
b) (0, 3), (1, 0)
m = (0 - 3)/(1 - 0) = -3
c) (1, 3), (2, 5)
m = (5 - 3)/(2 - 1) = 2