So, there are 3 more "parts" of students than of adults (5 - 2), right?
Those 3 parts are made up of 12 people.
12/3 = 4 people per part
2(4) = 8 adults
5(4) = 20 students
Answer:
2/5=8
Step-by-step explanation:
Plot A(−3,−1), B(−3,2), C(6,9), and D(3,9) in a coordinate plane. Are AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ congruent? Yes No
Answer:
Yes
Step-by-step explanation:
The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).
Plot these points on a coordinate plane as shown in the below graph.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using this formula, we get
[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]
[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]
[tex]AB=3[/tex]
[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]
[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]
[tex]CD=3[/tex]
Since AB=CD, therefore the required answer is yes, AB and CD are congruent.
Mary has 60 candy pieces and 45 chocolates. She wants to distribute the candy to her little sister's friends at her birthday party so that each friend gets an equal number of candies and an equal number of chocolates.What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over
Answer:
5 friends
Step-by-step explanation:
Candy pieces = 60
Chocolate = 45
What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?
To calculate this, find the lowest factor of 60 and 45
60:
Factors = 2, 4, 5, 6,
45:
Factors= 3, 5, 9
The lowest common factor of 60 and 45 is 5
The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5
That is
If there are 5 friends at the birthday party
60 candy pieces among 5 friends
= 60/5
= 12 pieces each
45 chocolate among 5 friends
= 45/5
= 9 each
investigation nine Pablo made monthly payments to his bank for a loan payments for the first month were $55 $52 $49 $46 and $43
Answer:
Step-by-step explanation:yes
Given that M is the midpoint of VW, what is the length of line segment VM?
Answer:
VM=15
Step-by-step explanation:
4x-1=3x+3 becuase M is the mid point, which makes both sides equal.
Subtract 3x to both sides to get x-1=3.
Add 1 to both sides to get x=4.
Subsitue 4 into the equation 4x-1 to find the lengh of VM.
4(4)-1=
16-1=
15
Using the midpoint concept, it is found that the length of the line segment is of 30 units.
The midpoint divides the line into two segments of equal length, hence [tex]VM = MW[/tex].
Their lengths, as functions of x, are given by:
[tex]VM = 4x - 1[/tex]
[tex]MW = 3x + 3[/tex]
They have the same lengths, hence:
[tex]4x - 1 = 3x + 3[/tex]
[tex]x = 4[/tex]
Hence:
[tex]VM = 4x - 1 = 4(4) - 1 = 16 - 1 = 15[/tex]
[tex]MW = VM = 15[/tex]
The total length is:
[tex]T = VM + MW = 15 + 15 = 30[/tex]
The length of the line segment is of 30 units.
A similar problem is given at https://brainly.com/question/24352869
Apples are on sale for $0.85 per pound. Darla has a $5 bill. About how many pounds of apples can she buy?
Answer:
5
Step-by-step explanation:
The number of pounds of apples that she can buy will be 5.88 pounds.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Apples are on sale for $0.85 per pound. Darla has a $5 bill.
The number of pounds of apples that she can buy will be calculated as,
⇒ $5 / $0.82
⇒ 5.88 pounds
The number of pounds of apples that she can purchase will be 5.88 pounds.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
I don’t really know how to do this, could anyone help? :)
1. 2.5x + 100 = 600
2. 10 = 2x - 4
3. 2x + 5 = 30
Answer:
1) 200 2) 7 3) 12.5
Step-by-step explanation:
For god's sake, use a calculator
Evaluate the function for the given value.
f(-3) if f(x) = 4x^2 + 7
Answer:
f(-3) = 43Step-by-step explanation:
f(x) = 4x² + 7
To find f(-3) substitute the value of x that's - 3 into f (x) that's replace every x in f (x) by - 3
We have
f(-3) = 4(-3)² + 7
= 4(9) + 7
= 36 + 7
We have the final answer as
f(-3) = 43Hope this helps you
Write yes if the following polygons are regular, and no if they’re not.
Answer:
a. yes
b. no
c. yes
d. yes
e. yes
f. no
Step-by-step explanation:
a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)
A. equilateral triangle, regular
B. is a rectangle and the sides of rectangle are not all equal, thus, not regular
C. octagon, regular
D. flipped pentagon, regular
E. square, regular
F. not normal pentagon, not regular
Answer:
a. yes
b. no
c. yes
d. yes
e. yes
f. no
Step-by-step explanation:
a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)
A. equilateral triangle, regular
B. is a rectangle and the sides of rectangle are not all equal, thus, not regular
C. octagon, regular
D. flipped pentagon, regular
E. square, regular
F. not normal pentagon, not regular
The population of Tel Aviv, Israel was 413,000 in 2003. What is 413,000 rounded to ther nearest hundred-thousand?
Answer:
400,000
Step-by-step explanation:
Tel Aviv Population (2013) - 413,000
413,000 rounded to nearest hundred-thousand = 400,000
Final sum= 400,000. Hope this helps!
Answer: 400,000
The population of Tel Aviv in 013 was 413,000.
We have to round this number to the nearest 100,000.
We get 400,000, so it is the answer.
Nate has written 4 paragraphs of an essay for his English class so far. He can write a paragraph
2
every 3 of an hour. Write an expression for the number of paragraphs in Nate's essay after h,
hours.
3h * 2
three hours every two paragraph
Which description is true about pre-image ABC and image A′B′C′ ?
A.) The image is a rotation of the pre-image clockwise at 90°.
B.) The image is a reflection of the pre-image across the y-axis.
C.) The image is a dilation of the pre-image with a scale factor or 3.
D.) The image is a translation of the pre-image by moving up 2 units and to the right 2 units.
Answer:
Option (C)
Step-by-step explanation:
From the graph attached,
In ΔABC and ΔA'B'C',
∠A ≅ ∠A'
∠B ≅ ∠B'
Therefore, ΔABC ~ ΔA'B'C'
Corresponding sides of these triangles will be proportional.
[tex]\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}=\frac{2}{6}[/tex]
Therefore, ratio of the sides, AC : A'C' = 1 : 3 shows that image triangle A'B'C' is a dilated form of pre-image ABC with a scale factor of 3.
Option (C) will be the correct option.
Can you help me match them? please!
Answer:
1B 2D 3E 4A 5C
Step-by-step explanation:
For integer, whole and natural numbers, check this link out.
0.050505.. is repeating decimal, therefore it's a rational number
√19 is irrational number because 19 is not a square number.
Answer:
1. b
2. d
3. e
4. a
5. c
hope it helps
PLEASE I WILL GIVE BRAINLIEST!!!!!HELPPPPPPP!!!PLEASESOMEONE!!!! 7 POINTS!!!!!ANYONE PLEASE !!!
Just so you know B&C are combined
Answer:
this is the answer
Step-by-step explanation:
the one where the lines are at 6,8,1
Answer:
boom math
Step-by-step explanation:
6 + (1 + 9) = 16, so
(6 + _) + 9 = '16
Answer:
1
Step-by-step explanation:
Adding the same positive numbers will always give you the same answers, right here all your doing is switching the 9 and the 1 ... so 1
Find the measure of angle A
Answer:
40°
X=11
I can't give you a very good explanation because I'm
only a freshman lol, I only studied so far in this stuff so I think ill stick to questions like this that give me side lengths and require an angle.
Anyways, hope this helped!
59. What happens to the graph of y = |x| when the equation changes to y = |x + 4? A The graph shifts up 4 units. The graph shifts left 4 units. B с The graph shifts right 4 units. D The graph shifts down 4 units.
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
Rocco gained 64 yards on 16 carries during a recent football game. Find
the unit rate of yards per carry.
Answer:
4 yards per carry
Step-by-step explanation:
16x = 64
x = 4
Answer: 4 yards per carry
Step-by-step explanation:
To get from yards per carry divide the number of carries by itself to reduced it to one and the same as you will divide the yards by 64 too.
64 = 16
4 = 1
Will bought clothes and shoes at a store.
The shoes cost $50. The total was $80.
How much did the clothes cost? Use c for
clothes?
a) 50c = 80
b) C - 50 = 80
c) C + 50 = 80
d) 80 + c = 50
A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10−16 kilometer. How many times larger is the diameter of the dish than the diameter of the bacterium?
Answer:
100000000000 times
Step-by-step explanation:
Given
Diameter of Dish = 0.00001 km
Diameter of Bacterium = 10⁻¹⁶ km
Required
Determine the number of times the diameter of dish is bigger than that of the bacterium
To solve this, we simply divide the diameter of dish by the diameter of the bacterium as follows
[tex]Ratio = \frac{Dish}{Bacterium}[/tex]
[tex]Ratio = \frac{0.00001}{10^{-16}}[/tex]
[tex]Ratio = 100000000000[/tex]
Hence, the diameter of the dish is 100000000000 times larger than the diameter of the bacterium
Which square root is a rational number ? Square root 50, square root 70, square root 81, square root 96
Answer:
square root of 81
Step-by-step explanation:
[tex] \sqrt{81} = 9[/tex]
so 9 is rational number.
the rest are irrational number
I don’t get it! It says “Match each division expression to it’s quotient.” So can anyone help with 1/12 / 1/6 ? Please!
We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply
1/12 divided by 1/6 = 1/12 * 6/1
-------
From here we multiply straight across.
The numerators multiply to get 1*6 = 6
The denominators multiply to 12*1 = 12
We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6
Final Answer: 1/2Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8}
Answer:
Option C.
Step-by-step explanation:
We know the following properties,
1. Product of an irrational number and a non-zero rational number is always an irrational number.
2. Sum of a rational and an irrational number is always an irrational number.
3. Sum or products of rational numbers are always a rational number.
In option A,
[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number.
[tex]\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 1.
[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 2.
So, using the above properties we can say that this expression represents an irrational number.
Similarly,
In option B,
[tex]4\frac{2}{3}\times\frac{8}{\sqrt{3}}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.
In option C,
[tex]4\frac{2}{3}-\frac{\sqrt{4}}{8}[/tex]
Here, [tex]\sqrt{4}=2[/tex], which is a rational number.
So, this expression represents a rational number using property 3.
In option D,
[tex]4\frac{2}{3}\times\frac{\sqrt{3}}{9}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.
Therefore, the correct option is C.
A triangle has sides with lengths of 5x-7,
3x-4, anol 2x-6. What is the perimeter of
the triangle
A 10x-17
B 6x-17
C 4x-9
D -7x
Answer:
A. 10x -17
Step-by-step explanation:
5x-7, 3x-4, and 2x-6.
combine like terms
5x-7 + 3x-4 + 2x-6
5x + 3x + 2x - 7 -4 - 6
10x -17
therefore the answer is A. 10x -17
Jermaine got an 84% on a math test. If the test had 25 questions, how many
questions did Jermaine get correct?
Answer:
21
Step-by-step explanation:
why do you use points when you could literally just search it up
Select the correct answer. Solve for x. (x - 4)(x - 4) = 0 A. -16 B. -4 C. 4 D. 16
Answer:
C. 4
Step-by-step explanation:
To solve, set each parenthesis equal to the opposite side (0 in this case).
(x - 4)(x - 4) = 0
x - 4 = 0
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:
x - 4 (+4) = 0 (+4)
x = 0 + 4
x = 4
Do the same for the other parenthesis:
x - 4 = 0
x - 4 (+4) = 0 (+4)
x = 0 + 4
x = 4
C. 4 is your answer.
~
Answer:
Hey there!
(x-4)(x-4)=0
(x-4)^2=0
x-4=0
x=4
The correct answer would be C.
Let me know if this helps :)
Simplify 1/2/5 please.
Answer:
0.1
Step-by-step explanation:
(1/2)/5 = 0.1
Answer:
Step-by-step explanation:
1/2 x 1/5 = 1/10
How many coins are in one pouch? Post the strategies you used to find the other number of coins in one pouch.
Answer:
6
Step-by-step explanation:
First, make an equation out of this diagram. Replace the coin pouches with the variable of x, and replace the number of coins with numerical values. You get the equation 2x + 21 = 5x + 3. Subtract 3 from both sides to get 2x + 18 = 5x. Then, subtract 2x from both sides to get 3x = 18. Divide both sides by 3 to get 6 coins per pouch.
José sale de su casa con $50 y gasta 4/5 en el cine y 1/10 en chocolates, ¿qué fracción del
total ha gastado?
Answer:
9/10
Step-by-step explanation:
The 2017 population of California was 39536653 and of Arizona was 7016270. Compute and compare the rate of pedestrian fatalities per 100,000 residents.
Answer:
The pedestrian fatality rate for California per 100,000 residents would be;
= (858/39,536,653) * 100,000
= 2.17 people per 100,000
In Arizona that figure is;
= (216/7,016,270) * 100,000
= 3.08 people per 100,000
This shows that even though California has a higher number of pedestrian fatalities in absolute terms, when this figure is made relative to population, Arizona has more pedestrian fatalities.