Answthat 16 is 42,
Step-by-step explanation:
Understand factoring. ...
Divide by the smallest prime number possible. ...
Rewrite the square root as a multiplication problem. ...
Repeat with one of the remaining numbers. ...
Finish simplifying by "pulling out" an integer. ...
Multiply integers together if there are more than one.
In a vial containing 5/6 parts, you withdraw 1/12. How many parts remain?
WHAT IS (50-2*5)+16/16
The sum of the first 46 postive and odd numbers is
The sum of first 46 positive and odd numbers is 2116
Solution:
Given that we have to find the sum of first 46 positive and odd numbers
The sum of first "n" natural odd numbers which are positive is given as:
[tex]Sum = n^2[/tex]
Here, n = 46
Therefore,
sum of first 46 positive and odd numbers = [tex]46^2[/tex]
sum of first 46 positive and odd numbers = [tex]46 \times 46 = 2116[/tex]
Thus the sum of first 46 positive and odd numbers is 2116
$650 is invested in an account at 3%
simple interest per year. Write the
first 5 terms of the sequence that
shows the value of the account at
yearly intervals.
Answer:
Step-by-step explanation:
Simple interest = [tex]650*\frac{3}{100}=$19.5[/tex]
End of first year = 650+19.5 = $669.50
End of second year = 669.50+19.5 = $ 689
End of third year = 689+19.5 = $708.50
End of fourth year = 708.50 +19.5 = $ 728
End of fifth year = 728 +19.5 = $747.50
Write 8 x 8 x 8 x 8 using exponents.
Step-by-step explanation:
The exponent form of the given product is given by 8³
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here: The product of 8×8×8
We know by the law of exponents that
a×a×a=a³
Thus 8×8×8=8³
Hence, The exponent form of the given product is given by 8³
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After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn?
Amanda learns 2.5 recipes per week, so over 6 weeks of training, she would be expected to learn 15 appetizer recipes.
Explanation:To establish the rate of Amanda learning new appetizer recipes, we need to determine the relationship between time (in weeks) and the number of recipes she learned. After 2 weeks of training, she learned 5 recipes, so we can assume that she learns at a rate of 5 recipes per 2 weeks, or 2.5 recipes per week.
Consequently, to estimate how many recipes she will learn after 6 weeks, we multiply the rate by the amount of weeks, which is: 2.5 recipes per week * 6 weeks = 15 recipes. Therefore, Amanda would be expected to learn 15 appetizer recipes after 6 weeks of training.
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What is the slope of the line represented by the equation y =
x - 3?
Answer:
The slope of the line is: 1
The y-intercept is: -3
You can graph the line using the slope and y-intercept, or two points.
Answer:
1.
Step-by-step explanation:
The general form of a line is y = mx + c where m = the slope.
y = x - 3
or we can write it as y = 1x - 3
- so the slope is 1.
Find the value of x to the nearest tenth.
19.7 19.2 20.8 21.3
Answer:
x=20.8 units
Step-by-step explanation:
The picture of the question in the attached figure
we know that
In a circle, perpendicular bisector of a chord passes through the center of a circle
That means
x/2 is the base of the right triangle of the figure
Applying the Pythagorean Theorem in the right triangle
[tex]12^2=6^2+(\frac{x}{2})^2[/tex]
Solve for x
[tex]144=36+\frac{x^2}{4}\\\\\frac{x^2}{4}=144-36\\\\\frac{x^2}{4}=108\\\\x^2=432\\\\x=20.8\ units[/tex]
There are 6 buses going on a field trip. There are 30 students on each bus. When they get to the park 42 students when to the slides. 28 students went to the swings. 39 students went to the grassy area to eat lunch. How many students are left?
Answer:
There are 71 students that are left
Step-by-step explanation:
Let's calculate the number of students left this way:
Total students = 30 * 6 = 180
Students that went to the the slides = 42
Students that went to the the swings = 28
Students that went to the the swings = 39
Students left = Total students - Students that went to the the slides - Students that went to the the swings - Students that went to the the swings
Replacing with the real values, we have:
Students left = 180 - 42 - 28 - 39
Students left = 180 - 109
Students left = 71
Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water in this per hour?
If you are solving for x in the diagram shown, which fact would help you to set up the problem? A) Tangents touch a circle in exactly one point. B) Chords that intercept congruent arcs are congruent to each other. C) Tangent segments from the same point outside the circle are congruent. D) The product of the segments formed by intersecting chords are congruent.
Answer:
Tangent segments from the same point outside the circle are congruent. This Geometric Theorem allows you to set up the problem and solve for x.
Step-by-step explanation:
Answer:Tangent segments from the same point outside the circle are congruent. (c) i got it right on USATESTPREP
Fraction equivalents
7/15 = ?/45
Answer:
21/45
Step-by-step explanation:
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What is the least amount of wrapping paper needed to wrap a gift box that measures 8 inches by 8 inches by 10 inches. Explain
448 square inches.
The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box.
Answer:204
Step-by-step explanation: Just that good.
A person standing close to the edge on the top of a 400-ft building drops a baseball. The quadratic function h left parenthesis t right parenthesis equals negative 16 t squared plus 400 models the ball’s height above the ground, h left parenthesis t right parenthesis, in feet, t seconds after it was dropped.
Find h left parenthesis 0 right parenthesis AND interpret the meaning of the function value in the context of the problem.
Answer:
[tex]h(0)=400[/tex]
The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.
The height of the ball above the ground before it was dropped = 400 ft.
Step-by-step explanation:
Given:
The quadratic function that models the height of the baseball above the ground in feet , [tex]t[/tex] seconds after it was dropped is given as:
[tex]h(t)=-16t^2+400[/tex]
To find [tex]h(0)[/tex] and interpret the meaning of the function value in contect of the problem.
Solution:
In order to find [tex]h(0)[/tex], we will replace [tex]t=0[/tex] in the given function as [tex]h(t)[/tex] is a function of time [tex]t[/tex].
Thus, we have:
[tex]h(0)=-16(0)^2+400[/tex]
[tex]h(0)=16(0)+400[/tex]
[tex]h(0)=0+400[/tex]
[tex]h(0)=400[/tex] (Answer)
The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.
The height of the ball above the ground before it was dropped = 400 ft.
What property is it when Segment AB is Congruent to AB
Answer:
Therefore,
[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.
Step-by-step explanation:
Reflexive Property :
The reflexive property of equality means that anything is equal to itself. The formula for this property is a = a. This property tells us that any number is equal to itself. For example, 3 is equal to 3.Here it is given When
[tex]Segment\ AB \cong Segment\ AB[/tex]
AB is Equal to itself, Hence it is the Reflexive Property.
Therefore,
[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.
My age is the difference between twice my age in 5 years and twice my age 5 years ago
Answer:
10
Step-by-step explanation:
Mrs McCarr buys 9 packages of markers for an art project. Each packages has 10 markers. How many markers does Mrs McCarr buy?
Answer:
Mrs. McCarr buys 90 markers
Step-by-step explanation:
10 markers per package × 9 packages of markers = 90 markers in total
90 markers because 10 times 9 equals 90
11/3 divided by what equals 11 it has to be a fraction
Answer:
1/3
Step-by-step explanation:
We can solve using algebra: let x be the unknown number.
so 11/3 ÷ x = 11.
Solving:
11/3 = 11x.
x = 11/3 ÷11 = 1/3
You can also check the answer by going:
11/3 ÷ 1/3 = 11/3 x 3/1 = 33/3 = 11 (using fraction rules for multiplying and dividing ie. to divide by a fraction we multiple by it's reciprocal, and to multiply by a fraction, we multiple the numerators and the denominators).
11/3 divided by 1/3 so that it will be equals to 11.
When facing a division problem like 11/3 divided by what equals 11, we need to find a number which, when 11/3 is divided by it, gives us the result of 11. To solve this, let's set up an equation where the unknown number is represented by a variable, such as 'x':
11/3 ÷ x = 11
To find 'x', we need to isolate it. This can be done by multiplying both sides of the equation by 'x', and then dividing both sides by 11 to solve for 'x'.
(11/3) ÷ x = 11
(11/3) ÷ x × x = 11 × x
11/3 = 11x
Now we divide both sides by 11 to get:
x = (11/3) ÷ 11
x = 1/3
So, the fraction that you must divide 11/3 by to get 11 is 1/3.
Solve for x. Then find the measure of each identified angle. Check your solution
Answer:
put a pic of the question
Step-by-step explanation:
plz
last week, the price, in dollars, of a gallon of gasoline was g. This week the price of gasoline per gallon increased by 5%. Which expressions represent this weeks price, in dollars, of a gallon of gasoline?
A. g+0.05
B. g+0.05g
C. 1.05g
D. 0.05g
E. (1+0.05)g
The price of gasoline in this week is 1.05g. Option C
Step-by-step explanation:
Given,
The price of a gallon of gasoline = g in last week.
The price of gasoline increased by 5% this week.
To find the price of gasoline this week.
Formula
If an original price of an object a increased by b% the final price will be = a×[tex]\frac{100+b}{100}[/tex]
So,
The price of gasoline in this week = g×1.05 = 1.05g
[ Please note: Here option C and E have same value. So, both are correct].
The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.
Given that,
Last week the price, in dollars, of a gallon of gasoline was g.
This week the price of gasoline per gallon increased by 5%.
We have to determine,
Which expressions represent this week's price, in dollars, of a gallon of gasoline?
According to the question,
The price of a gallon of gasoline = g in last week.
The price of gasoline increased = 5% = 0.05
The expressions represent this week's price, in dollars, of a gallon of gasoline is,
= Price of gallon last week + Price of gallon increased this week
= g + 0.05g
= (1 + 0.05)g
= 1.05g
Hence, The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.
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Lindsey went to the teacher supply store. She bought 10 white boards for a total of $35 and some posters for $5.40 each. If she spent $51.20 total, how many posters did lindsey buy
Answer:3
Step-by-step explanation:
Answer:
Lindsey bought 3 posters.
Step-by-step explanation:
$51.20 - $35 = $16.20
$16.20 ÷ $5.40 = 3 Posters
My sister is 19 years old. My brother says that his age minus eighteen is equal to my sister's age. How old is my brother? Enter an equation, using b as your variable, to find how old my brother is. The equation is My brother is years old.
Step-by-step explanation:
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An equation is created to solve for the brother's age: b - 18 = 19. By adding 18 to both sides, we determine the brother is 37 years old.
To solve for the brother's age, you need to create an equation based on the information given. Since the sister is 19 years old, and the brother says his age minus eighteen is equal to the sister's age, the equation is: b - 18 = 19.
Now, solve for b (the brother's age) by adding 18 to both sides of the equation:
b - 18 + 18 = 19 + 18b = 37Therefore, the brother is 37 years old.
2x+3y=4 4x+6y=9 what is the value of x and y
Answer:
No Solution.
Step-by-step explanation:
2x+3y=4
4x+6y=9
-------------
-2(2x+3y)=-2(4)
4x+6y=9
----------------------
-4x-6y=-8
4x+6y=9
-------------------
0=1
no solution
Answer:
No solution.
Step-by-step explanation:
2x + 3y = 4
4x + 6y = 9
Multiply both sides of the first equation by -2. Then write the second equation below it and add them.
-4x - 6y = -8
+ 4x + 6y = 9
-------------------------
0 + 0 = 1
Since the statement 0 = 1 is false, there is no solution to this system of equation.
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = _x(4 + 9)
Answer:
8
Step-by-step explanation:
Notice:
32 = (8 x 4)
72 = (8 x 9)
Hence,
32 + 72
= (8 x 4) + (8 x 9) (factorize out the 8)
= 8 x (4 + 9)
therefore the musing number is 8
Answer:
Step-by-step explanation:
32 + 72 = 8*4 + 8* 9
= 8* (4 + 9)
So 8 will come in the blank
F(7) if f(x)=5x
Answer_______
Answer:
35
Step-by-step explanation:
put 7 instead x and it will be 5*7 that is 35
What is the slope of the line that passes through the points (4,8) and (2,12)?
Answer: m = -2
Step-by-step explanation: Using our slope formula, we take the second y minus the first y which in this case is 12 - 8 over our second x minus our first x which in this case is 2 - 4.
So 12 - 8 is 4 and 2 - 4 is -2. So we have 4/-2 which can be simplified to -2.
The variable that's used to represent slope is m.
So we would say m = -2.
Work is provided in the image attached.
john traveled 150km in 6 hours and alice traveled 180km in 4 hours. what is the ratio of the average speed of john to average speed of alice?
a. 3:2
b. 2:3
c. 5:9
d. 5:6
The average speed of John and Alice are determined first by dividing the total distance by the total time taken. The ratio of the average speeds is 25:45 or in simplified form, 5:9. Therefore, the correct answer to the question is (c) 5:9.
Explanation:To find the ratio of the average speed of John to Alice, we first need to calculate their average speed individually. The average speed is obtained by dividing the total distance covered by the total time taken.
For John, his average speed would be 150km/6 hours = 25km/h. For Alice, her average speed would be 180km/4 hours = 45km/h.
So, the ratio of the average speed of John to Alice would be 25 : 45. In simplest form, this ratio becomes 5 : 9 (divided both numbers by 5).
Therefore, the answer is (c) 5:9.
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A circus charges $2.50 for kids tickets and $6 for adult’s tickets. Last weekend, twice as many kids attended the circus than adults. If the ticket sales totaled $7,150, how many kids attended the circus?
The number of kids attending the circus is 1300.
Let's denote:
- ( K ) as the number of kids attending the circus.
- ( A ) as the number of adults attending the circus.
Given:
- The price of a kid's ticket is $2.50.
- The price of an adult's ticket is $6.
- The total ticket sales is $7,150.
- The number of kids attending the circus is twice the number of adults.
We can set up a system of equations based on the given information:
1. The total ticket sales:
[tex]\[ 2.50K + 6A = 7150 \][/tex]
2. The number of kids attending the circus is twice the number of adults:
[tex]\[ K = 2A \][/tex]
Now, we can solve this system of equations.
We can substitute the expression for ( K ) from equation 2 into equation 1:
[tex]\[ 2.50(2A) + 6A = 7150 \][/tex]
[tex]\[ 5A + 6A = 7150 \][/tex]
[tex]\[ 11A = 7150 \][/tex]
Now, solve for ( A ):
[tex]\[ A = \frac{7150}{11} \][/tex]
[tex]\[ A \approx 650 \][/tex]
So, the number of adults attending the circus is approximately 650.
Now, we can find the number of kids attending the circus using the expression we found for ( A ) in terms of ( K ):
[tex]\[ K = 2A \][/tex]
[tex]\[ K = 2 \times 650 \][/tex]
[tex]\[ K = 1300 \][/tex]
So, the number of kids attending the circus is 1300.
Gorillas and chimpanzees can learn language to communicate with humans. By 2017 , a gorilla named Koko had learned 700 words. This was 50 fewer than 5 times as many as a chimp named Washoe knew a decade earlier. How many words did Washoe know?
Answer:
130
Step-by-step explanation:
700 - 50 = 650
650/5 = 130
Answer:
150 words
Step-by-step explanation:
k = 700....koko knows 70 words
k = 5c - 50....this is 50 fewer then 5 times the chimps(c)
5c - 50 = 700
5c = 700 + 50
5c = 750
c = 750/5
c = 150 <=== the chimp, Washoe, knew 150 words
While traveling to his grandma for his George fell asleep a fifth of the way through the journey when he awoke he still had to travel a quarter of the distance that he had traveled while sleeping. For what part of the journey had he been asleep
Answer:
George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
George fell asleep a fifth of the way
He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping
2. For what part of the journey had he been asleep?
George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma
When he awoke up = 1/4 * 4/5 = 1/5
He had been asleep = 5/5 - 1/5 -1/5 = 3/5
It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma