Answer:
x/2 = 1/2x
Step-by-step explanation:
# of paintbrushes/ 2 piles = 1/2 # of paintbrushes
Answer:
x/2
Step-by-step explanation:
Since Lucy is taking the paintbrushes, x, and splitting them into 2 equally sized groups we can assume that this IS 1/2 the size of the original group.
We can show this claim by simply doing this equation: x/2, since she is splitting them into 2 groups that are equally sized, we are just dividing x by two.
Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
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Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02
Answer:
Answer:
Part A: 99% CI is given by : (0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Step-by-step explanation:
Part A:
The test statistic p^ ±z sqrt (p`q`/n) will be used because
It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.
Here
p= proportion of vaccine- eligible people who received flu vaccine
Sample size= n= 2350
Sample success= p^=978/2350= 0.4161
Sample failure= q^= 1-p`= 1- 0.4161= 0.5838
For 99% CI the z- value is 2.576
Using the test static
p^ ±z sqrt (p^q^/n)
0.4161± 2.576 sqrt( 0.4161*0.5838/2350)
0.4161± 2.576 * 0.010167
0.4161± 0.02619
(0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
z* sqrt ( p^q^/n) ≤ 0.02
sqrt ( p^q^/n) ≤ 0.02/z
Taking square of both sides
( p^q^/n) ≤ [0.02/z]²
Reciprocating both sides
n/p^q^ ≥[ z/ 0.02]²
n≥[ z/ 0.02]²p^q^
n≥ z²p^q^/[ 0.02]²
Putting the values
n ≥(2.576)² (0.5)(0.5)/ 0.2²
n≥ [2.576 /2 (0.02) ]²
n≥4,147.36
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answer:
c
Step-by-step explanation:
translations assignment
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?
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Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answer:
it's just 8/20 so shade 8/20 of the circle
HOW DO YOU GRAPH USING LINER PROBLEMS
Answer:
You need to plot points onto the graph
Step-by-step explanation:
It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfy the equation of the line, then the line can be accurately drawn. But it can be more than 2 points as well. IT CANNOT BE 1. Just 1 point can fo anything at all. You cannot make a linear line or a line in general with just one point. You need 2 or more to make a line.
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
Please solve -6+7x=50
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
John has two different sugar syrups. Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water. How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
Answer:
Volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts .
Step-by-step explanation:
Syrup A : 2 parts sugar , 8 parts of water .
Total = 10 parts
Syrup B : 3 parts sugar , 5 parts of water .
Total = 8 parts .
Mixture required 280 quarts , 3 parts sugar , 7 parts water
In 280 quarts , sugar = 280 x 3 / ( 3 + 7 )
sugar = 84 parts
Let volume of syrup A be x , volume of syrup B = 280 - x
sugar A = 2 x / 10 = 0.2 x
sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )
Total sugar = .2 x + .375 ( 280 - x ) = 84 .
.2 x + 105 - .375 x = 84
105 - 84 = .375 x - .2 x = .175 x
.175 x = 21
x = 21 / .175 = 120
Volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts .
John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
Given that,
John has two different sugar syrups.
Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.
We have to determine,
How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
According to the question,
Syrup A: 2 parts sugar, 8 parts of water.
Total number of parts = 10 parts
Syrup B : 3 parts sugar, 5 parts of water.
The total number of parts = 8 parts.
The mixture required 280 quarts, 3 parts sugar, 7 parts water,
In 280 quarts, parts of sugar are,
[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]
Let the volume of syrup A be x,
And the volume of syrup B be 280 - x
[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]
[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]
The total amount of sugar is,
[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]
Therefore,
The volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts
Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
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Tania Ramirez purchases 25 hanging file folders for $6.99. What is the price
per folder?
If you pay $1.49 a pound for chicken and 2/3 of the weight is bone. How much are you paying per pound of meat?
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Answer:
$4.47 per pound
Step-by-step explanation:
Your cost is ...
$1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb
I really need help with this so plz give a good answer
Name the integers from the list below.
2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...
Answer:
The first 4
Step-by-step explanation:
any that are whole numbers
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
Answer:
5/6, 7
Step-by-step explanation:
The two trapezoids below are similar. What is the length of EF
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0
Answer:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
10
Which of the following is the midpoint between (3, 2) and (-3, 4)?
(0, 3)
(0, 3/2)
(6, 3/2)
(-6, 3)
Answer:
(0, 3)
Step-by-step explanation:
(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)
write the number seventeen thousand and forty-eight in figures
Answer:
17 048
hi lets be freinds pleeease
Step-by-step explanation:
Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.
Answer:
0.5 pounds!
Step-by-step explanation:
Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
Simplify y ^2 over 6y^5.
Answer:
1/6y^3
Step-by-step explanation:
Answer:
1/6y^3
Step-by-step explanation:
cancel the common factor of y^2 and y^5
Q. One yard equals three feet. How many
yards are there in 63 feet? Type your
answer in the box
yards.
Answer:
21 yards
Step-by-step explanation:
There will be 21 yards in 63 feet of the measurement.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that one yard is equal to three feet. There are 63 feet of measurement.
The value of 63 feet in yards will be calculated as:-
1 yard = 3 feet
1 feet = 1 / 3 yards
63 feet = ( 63 / 3 ) yards
63 feet = 21 yards
Therefore, there are 21 yards in 63 feet of the measurement.
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geometric mean of 384 and 6
Answer:
48 is the geometric mean of 384 and 6
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).