Answer:
3/10
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that the fair spinner is numbered 1 - 5, the factors of 15 there are 1, 3 and 5 hence the probability of obtaining a factor of 15
= 3/5
The probability of obtaining a tail from the flip of a coin
= 1/2
Hence the probability of obtaining a factor of 15 and a tail
= 3/5 * 1/2
= 3/10
14. Ashton has 3 less dollars than Cole. This relationship can be represented by an equation using
a for the amount of money Ashton has, in dollars and c for the amount of money Cole has, in
dollars.
Which equation correctly shows this
relationship?
A. a _c=3
B.C_a=3
ola
0
D. 3a C_0
The equation that describes Ashton has 3 less dollars than Cole is a = c - 3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Ashton has 3 fewer dollars than Cole.
'a' represents the amount of money Ashton in dollars and c represents the amount of money Cole has.
So, a = c - 3.
Therefore, the equation that describes this relation correctly is,
a = c - 3.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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HELPPPP: From the top of a light house 50 meters high, the angle of depression of a boat out at sea has a measure of 15°. Find to the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
Answer:
13m
Step-by-step explanation:
[tex]d=50tan(15)=13m[/tex]
The required distance from the boat to the foot of the light house, which is at sea level is 13meter
Given that,
The top of a light house 50 meters high,
The angle of depression of a boat out at sea has a measure of 15°.
We have to determine,
To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
According to the question,
The angle of depression may be found by using this formula = opposite/adjacent.
The opposite side in this case is usually the height of the observer or height in terms of location.
Therefore, angle of depression = 15degree
Height of the light house = 50m
The distance from the boat of the light house is denoted by d.
Then the distance from the boat of the light house is given as.
[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]
Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter
For more information about Trigonometry click the link given below.
https://brainly.com/question/2773823
Solve 4x - 8 < 44. Enter your answer as an inequality.
Answer:
x < 13
Step-by-step explanation:
We have an inequality and are asked to solve for x.
Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.
4x - 8 < 44
Add 8 to both sides :
4x < 52
Divide 4 from both sides :
x < 13
If the ratio of tables to chairs in the school cafeteria is 2 to 5 and there are 154 total objects, how many chairs are there?
A) 110
B) 44
C) 116
D) 120
Will give BRAINLIST
Answer: The ratio of tables to chairs is 44 chairs.
ysis Q3
Follow these steps to prove the given quadrilateral is a parallelogram.
1. Determine the slope of AB: 413
2. Determine the slope of DC: 413
3. Determine the length of AB:
B
С
2
A
-2
D
Check
Answer:
1. Determine the slope of line AB: 4/3
2. Determine the slope of line DC: 4/3
3. Determine the length of line AB: 5
4. Determine the length of line DC: 5
write the equation of the line with the givin slope and y-intercept form GET 10 POINTS
Answer:
The answer is
[tex]y = \frac{1}{3} x - 1[/tex]
Step-by-step explanation:
Let The equation is
[tex]y = mx + c[/tex]
Since the straight line intersects with Y axis at - 1
Then x equal to zero
Since m=1/3
Then
[tex]y = \frac{1}{3} x + c \\ when \: y = - \: \: and \: x = 0 \\ then \: c = - 1 \\ y = \frac{1}{3} x - 1[/tex]
At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole
casts a shadow that is 9 feet long. How tall is the flagpole to the nearest foot?
A.4 feet
B.7 feet
С.8 feet
D.19 feet
Answer:
D 19 feet
Step-by-step explanation:
Let x = height of flagpole
tan 65 = x/9
9tan 65 = x
x = 19.3 ≅ 19 ft. to the nearest foot
Need Help! Solve for x
Answer:
Step-by-step explanation:
25²-16²=369
369+x²=22²
x=10.72(correct to nearest tenth)
A group of five friends goes to a show each ticket cost nine dollars and the friends share popcorn the cost six dollars which shows the total cost?
Answer:
9x5+6
Step-by-step explanation:
5 people x $9 ticket + the $6 popcorn
Solve by substitution -2x+5y=-17 y=-4x+1
Answer:
-2x +5(-4x+1) =-17
-2x -20x+5=-17
-22x+5=-17
-22x=-22
x=1
y=-4(1)+1
y=4+1
y=5
(1,5)
Masha bought 24 snickers, 56 kit kats, and 96 twixes to make identical goody bags with the same number of Snickers, Kit Kats, and Twixes. What is the largest number of identical goody bags that Masha can make, if she wants to use all the candies?
Answer:
8 bagsStep-by-step explanation:
Get the prime factors of each number and find GCF
24 = 2*2*2*356 = 2*2*2*796 = 2*2*2*2*2*3CGF(24, 56, 96) = 2*2*2 = 8
Number of bags is 8
Each bag contains:
3 Snickers, 7 Kit Kats, 12 TwixesAnswer:
8 bags
Step-by-step explanation:
What is the y-coordinate for the solution to the system of equations?
{y=1/2x−4
{y=−2x+1
Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
How can you use expressions to find the percent of a number?
Answer:
See below
Step-by-step explanation:
x% of y is found as:
1% of y ⇒ y*1/100 = 0.01yx% of y ⇒ x*0.01y = 0.01xySo the answer is:
0.01xyWhat is the value of g?
Answer:
31
Step-by-step explanation:
Answer:
g = 31
Step-by-step explanation:
The entire angle is 90 degrees. Subtract 90 - 59 to find the value of g. You get 31.
Hope it helps!
I need help on this question please!
Answer:
150
Step-by-step explanation:
5^2=25
6 times 25=150
Hope I helped!
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
Find the percent change from the first value to the second.
30; 39
Answer:
Change in percent = 30%
Step-by-step explanation:
Given:
First value = 30
Second value = 39
Find:
Change in percent
Computation:
Change in percent = [(Second value - First value) / First value]100
Change in percent = [(39 - 30) / 30]100
Change in percent = [(9) / 30]100
Change in percent = 30%
Pls help me with my homework
Answer:
Yes
Step-by-step explanation:
It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle
please help!!!!!! emergency
Max and jane had $84 altogether. Max had $6 less than jane. Use algebra to find the amount of money jane had
Answer:
Jane has $45, and Max has $39.
Step-by-step explanation:
M + J = 84
M = J-6
( J - 6 ) + J = 84
2J - 6 = 84
2J = 90
J = $45
M= $39
A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?
Answer:
$2.77 per quart.
Step-by-step explanation:
There are four quarts in a gallon.
4 * 3 = 12
There are 12 quarts in 3 gallons.
[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]
The price per quart should be $2.77.
Hope this helps.
what is the total volume of the piece of cake?
Answer:
The answer is 540^3
Step-by-step explanation:
The height is 6
base 1 or a is 10
base 2 or b is 18
base 3 or c is 20.59 (use Pythagorean theorem)
x^(2)-7x=44 solve for x-intercepts.
Answer:
-4, 11
Step-by-step explanation:
X-intercepts occur at y=0:
x^2-7x-44=0
(x-11)(x+4)0
so we have -4 and 11.
Find an equation of the line that contains the point (4,-3) and is perpendicular to the line 2x-3y=4
HELPPPPPPPPPP PLISSSSSSSS
Answer:
Step-by-step explanation:
-3y = -2x + 4
3y = 2x - 4
y = 2/3x - 4/3
perp; -3/2
y + 3 = -3/2(x - 4)
y + 3 = -3/2x + 6
y = -3/2x + 3
Convert the decimal value 0.28 to a fraction
Answer:
Step-by-step explanation:
7/25 28%
0.24 6/25 24%
0.31818 7/22 31.818%
0.30435 7/23 30.435%
Answer:
7/25 (simplified) OR 28/100.
Nine is 15% of what number
Answer:
60
Step-by-step explanation:
9/15 = 0.6
0.6 x 100 = 60
Answer:
60
Step-by-step explanation:
Let x be the number
15/100 * x = 9
multiply by 100
15x = 900 Divide by 15
x = 900/15
x = 60
THIS IS A HARD QUESTION HOPE YOU CAN SOLVE
Answer:
The triangles are congruent so AB=DE=6
AB=6
angle F= angle C
so F=50 degrees
Step-by-step explanation:
In the above figure, m∠A = 32° and m∠B = (2x + 14)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B? A. x = 22, m∠B = 44° B. x = 22, m∠B = 58° C. x = 67, m∠B = 148° D. x = 54, m∠B = 58°
Complementary angles have a sum of 90
32+2x+14=90
2x+46=90
2x=44
x=22 the second angle is 58
2(22)+14=58
Which inequality is represented by the graph?
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?
Answer:
The employees will work for 1 hour, will earn $5 per hour and will be paid $5
Step-by-step explanation:
System of Equations
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5