Answer:
To find the probability of picking two boys, we need to first know how many different ways she can pick the 7th and 8th grader.
There are 12 7th-graders and 8 8th-graders. So the total number of ways she can pick is:
12
×
8
=
96
To get two boys picked, there are 5 boys in the 7th-grade class and 4 in the 8th-grade class, so there are:
5
×
4
=
20
ways
Which gives us the probability of:
20
96
=
5
24
≅
21
%
Step-by-step explanation:
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
Answer:
Let x = the smaller number
Let 3x + 15 = the larger number
x + 3x + 15 = 63
4x = 48
x = 12
3(12) + 15 = 51
Step-by-step explanation:
Which number equals 3/4 to the power of negative 2?
6x - 9 = 2x +7 what is x
Answer:
x = 4
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x-9-(2*x+7)=0
Pull out like factors :
4x - 16 = 4 • (x - 4)
Solve : 4 = 0
Add 4 to both sides of the equation :
x = 4
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
and your answer is x=4
Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows First Car and has 60, t, and 60 t. The second row shows Second Car and has, 55, t, and 55 t.60t – 55t = 060t + 55t = 160t + 55t = 15060t – 55t = 150
Answer:
your equation should be 60t + 55t =150
Answer:
The answer is C!
Step-by-step explanation:
michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored 20 points what is the total number of baskets made during this game
Question 12: There are only red, black and green pens in a box.
There are three times as many red pens as green pens.
There are four as many black pens than red pens.
Work out the probability of a black pen being selected
working pls !! :D
Answer:
3/4
Step-by-step explanation:
Let the number of black pen be b, the green pen be g and the red pen be r.
Probability of a black pen being selected = 12g/16g = 3/4
State whether the percent of change is a percent
of increase or a percent of decrease. Then and the
percent of change. Round to the nearest whole
percent.
original: 54 new: 45
Answer:
percentage decrease
16.7 percentage of change
Jake bought cupcakes for his sister's birthday party. 33 out of the 44 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
At a department store, a woman's total was $284.00 for 7 items.
Answer:
40.5714
Step-by-step explanation:
Based on the given conditions, formulate: 284 ÷ 7
Evaluate the equation/expression: 40.5714
get the result: 40.5714
Answer: 40.5714
Draw the graph of y=3-1/2x HELP
I hope this helps you!!!! :)
What is the answer for 3 4/8 + 1 1/4 + 4/6 in simplest form?
Answer:
5 5/12
Step-by-step explanation:
hoffe das hilft
pls help
A newspaper reports the following changes in the temperature of a city over 4 days:
1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius
Write an expression to show the average daily change in the temperature of the city.
Write the steps to solve the expression. Round your answer to the nearest hundredth.A newspaper reports the following changes in the temperature of a city over 4 days:
1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius
Write an expression to show the average daily change in the temperature of the city.
Write the steps to solve the expression. Round your answer to the nearest hundredth.
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
Answer:
[tex]16 (1 +0.09)^{8}\\[/tex]
Future Amount = 38 (rounded)
Step-by-step explanation:
hope this helps.
Simplify the expression shown.
3x + 2-3x + 7 +5x
What is the coefficient in the simplified expression?
O 5
O 9
ОЗх
O 5x
solve for y
6x - 3y = 15
hint: subtract 6x, divide by -3, simplify
Answer:
2.5
Step-by-step explanation:
6x-3y=15 because you have to times through 6x and 3y
x/2 - 3 + 4x^2 + x - 4
Answer:
=4x^2 + 3/2 x − 7
Step-by-step explanation:
Let's simplify step-by-step.
x /2 −3 + 4x^2 + x − 4
= 1 /2 x + −3 + 4x^2 + x + −4
Combine Like Terms:
= 1 /2 x + −3 + 4x^2 +x + −4
= (4x^2) + ( 1 /2 x + x) + ( −3+−4 )
= 4x^2 + 3 /2 x + −7
(50 POINTS^^ JUST NEED HELP ^^)
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
A)The graph of g(x) is the graph of f(x) translated 5 units up.
B) The graph of g(x) is the graph of f(x) translated 5 units right.
C) The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
D) The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
2. The graph of function g(x) is a vertical stretch of the graph of function f(x)=x by a factor of 6.
Which equation describes function g(x)?
A) g(x)=6f(x)
B) g(x)=f(x)−6
C) g(x)=16f(x)
D) g(x)=f(x)+6
What is value of 4 to the power of negative 3
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
and 4³ = 4 × 4 × 4 = 16 × 4 = 64
Then
[tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]
Answer:
0.015625
uokcdjnjhxfukbgy
Your normal work week is 30 hours. You make $10 an hour.Last week you worked 31 hours. What is your total paycheck.
Answer:
$310
Step-by-step explanation:
Answer Please !!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
I can't draw here, but I can describe :
an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).
this fact makes the triangle symmetrical.
and that means that 2 angles are also equal (the angles of the legs with the baseline).
so, knowing that one angle is 34 degrees can mean 2 things :
either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.
as we know the sum of all angles in a triangle is always 180 degrees.
so case 1 : 34 degrees is the angle between the legs
180 = 34 + 2×base-leg-angle
144 = 2×base-leg-angle
each base-leg-angle = 72 degrees
case 2 : 34 degrees is one of the base-leg-angles
180 = 2×34 + between-the-legs-angle
180 = 68 + between-the-legs-angle
between-the-legs-angle = 112 degrees
so, you need to draw one triangle for each case.
since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :
one triangle with 34, 72, 72 degrees
and one triangular with 34, 34, 112 degrees
Ed receives a tax refund of 37.50. He spends 2/3 of his refund on clothing. He divides the rest among his 5 children. How much money does he give each child?
Answer:
He gave 2.50$ to each of his children
Step-by-step explanation:
Answer:
Each child got $2.50
a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z
x = 72
y = 54
z = 54
================================================================
The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.
The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.
--------------
For any triangle, the three angles always add to 180. This means,
x+y+z = 180
72+y+z = 180 .... plug in x = 72
72+y+y = 180 ... recall that y = z
2y+72 = 180
2y = 180-72
2y = 108
y = 108/2
y = 54, which is also the measure of angle z as well
--------------
As a quick check,
x+y+z = 72+54+54 = 180
which helps confirm the answer.
At midnight, the temperature was 31.2°F. In the morning, the temperature was −6.7°F. Which statement describes the temperatures?
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees lower.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees higher.
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees below 0.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees above 0.
Answer:
The third statemnet
Step-by-step explanation:
I say the third statement is correct because it says its 31.2 degrees above 0 which is positive. Also it says in the morning it was 6.7 below 0 which is negative which equlas-6.7. So that is why statement 3 is the correct answer.
Instead of having a cake, Paul wants to make ice cream sundaes at his next birthday party. He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party. How many 1-gallon tubs of ice cream should he buy?
Answer:
8
Step-by-step explanation:
24÷2=16×1=16÷2=8
am not sure I think the answer is also 16 so look at other people answer
Paul should buy 3 gallons
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 people, multiply 24 by 2 to get the number of cups.
24 x 2 = 48.
Then, divide that by 16 (the number of cups in a gallon) to how many gallons.
48 ÷ 16 = 3
Therefore, he needs 3 gallons.
Learn more about unit price here:
https://brainly.com/question/945712
#SPJ2
A rock band made a concert tour of 13
cities. They traveled an average of
1,970 miles per week for 6 weeks. .
How far did they travel altogether?
Answer:
11820
Step-by-step explanation:
https://msquaredmathschool.files.wordpress.com/2017/04/block2key.pdf
pls help me and solve it
Answer:
The first question
cos 30 = 50/x
√3/2 = 50/x
x√3 = 100
x = 100√3/3
x = 57.7350 ≈ 57.74
The second question
sin 45 = x/55
√2/2 = x/55
55√2 = 2x
x = 55√2/2
x = 38.8908 ≈ 38.90
The third question
cos 40 = x/34
x = 34 × 0.7660
x = 26.044
Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance. Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance. Select True or False for each statement.
Answer:
Hey! Your answer to this question is False False, True True, False False!
Step-by-step explanation:
I just did it and got it right :D
-32a/15 + 6 simplified
Answer:
might be wrong but
−
3
2
+
9
0
1
5
Answer:
-32a/15 +6
Step-by-step explanation:
it does not change when you simplified
Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Answer:
$30.
Step-by-step explanation:
70/28 = 2.5
12 x 2.5 = 30
Peter says, "If you subtract 17 from my number and multiply the difference by - 2, the result is - 26."
What is Peter's number?
Peter's number is
Answer:
4 is the number
Step-by-step explanation:
(17-x)(-2)=-26
-34+2x=-26
2x=-26+34
2x=8
x=8/2
=4