Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
Use the diagram to complete these statements. If m26 = 50°, then m2 = 50° If m 25 = 70°, then m = 70 What is the measure of 22?
m2 2 =
Answer: 1,3,60°
Step-by-step explanation:
Two bags contain coloured cubes.
Bag 1 has 2 green cubes and 1 yellow cube.
Bag 2 has 3 green cubes and 1 yellow cube.
Determine each probability if you choose 2 cubes from Bag 1 without returning the first cube and 1 cube from Bag 2. What's the probability of getting all three cubes are the same colour.
The required probability would be 0.57, representing getting all three cubes are the same color.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Bag 1 contains 1 yellow and 2 green cubes.
Bag 2 contains 1 yellow and 3 green cubes.
Seven cubes total would be present.
You select one cube from Bag 2 and two cubes from Bag 1 without returning the first cube.
As per the condition,
So the probability of getting all three cubes are the same color would be
⇒ (³c₂ × ⁴c₁) / ⁷c₂
⇒ (3 × 4) / 21
⇒ 12 / 21
⇒ 0.57
Therefore, the probability would be 0.57, representing getting all three cubes are the same color.
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4/5 + 3/15 - 2/3 please
Answer:
1/3
Step-by-step explanation:
4/5 + 3/15
We first find a common denominator which will be 15.
Multiplying the top and bottom of 4/5, we have 12/15
12/15 + 3/15 = 15/15 = 1
1 - 2/3 is 1/3
1. Introduction to frequency distributions Which of the following phrases correctly complete the sentence “A frequency distribution....”? Check all that apply. is a graphical presentation of original data in a histogram. is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence. is used to display summary statistics such as means and standard deviations. is often a first step of organizing the data into a logical order. You are assigned to a study group of eight students. As a “getting to know you” exercise, you each identify the season of your birth. The following are the responses of the students in your group: fall winter spring summer fall winter spring fall Organize the responses by completing the following frequency distribution table: Frequency Distribution Table for Birth Season Birth Season Number of Students Spring Summer Fall Winter
A frequency distribution is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence and is often a first step of organizing the data into a logical order. .
How to determine the correct definition of the frequency distribution?As a general rule:
A frequency distribution is in form of a tableIt is used to organize data in logical order or in groupsAn example of a frequency table is
Commute time Frequency
1 - 15 10
16 - 30 18
31 - 45 11
46 - 60 5
61 - 75 0
76 - 90 1
By comparing the above highlights to the given definitions, we have the correct options to be:
A distribution in which the values of the variable are tabled or plotted against their frequency of occurrenceIt is often a first step of organizing the data into a logical order.Read more about frequency distribution at
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Please help me explain this
Rewrite a number in a base other than ten
Add two or three numbers in a base other than ten
Subtract two numbers in a base other than ten
Why do we learn to work with numbers in different bases?
Explanation:
You want a tutorial and a rationale for writing numbers and doing arithmetic in bases other than 10.
A. Rewrite a numberFor integers, an easy way to write a number in a different base is to repeatedly divide by the desired base, and list the remainders right to left.
Example 1: convert 67 to base 3:
67÷3 = 22 r 122÷3 = 7 r 17÷3 = 2 r 12÷3 = 0 r 267₁₀ = 2111₃
Example 2: convert 44 to base 3:
44÷3 = 14 r 214÷3 = 4 r 24÷3 = 1 r 11÷3 = 0 r 144₁₀ = 1122₃
B. Add two numbersThe usual rules of addition apply. A sum of two digits that equals or exceeds the value of the base causes a carry to the next digit to the left. (It can be convenient to write the carries on a separate line.)
In the first attachment, the sum of the two numbers above is developed in base 3. The relevant addition facts for base 3 are ...
1+1 = 21+2 = 102+2 = 11Of course, zero (0) is still the additive identity element.
C. Subtract two numbersThe usual rules of subtraction apply. When a larger digit is subtracted from a smaller one, a "borrow" is indicated from the digit immediately to the left. The relevant subtraction facts for base 3 are ...
0 - 2 = 1 (borrow 1)0 - 1 = 2 (borrow 1)1 - 2 = 2 (borrow 1)1 - 1 = 02 - 2 = 02 - 1 = 1Example: 67 -44 = 23, done in base 3
For subtraction of a smaller number from a larger one, it can work well to do the computation left to right:
2111 -1122 = ...
4th digit: 2 - 1 = 1
3rd digit: 1 - 1 = 0
2nd digit: 1 - 2 = 2 (borrow 1 from 3rd digit: 0 - 1 = 2, borrow 1 from 4th digit: 1 - 1 = 0). The difference is now 0 2 2 x
1st digit: 1 - 2 = 2 (borrow 1 from 2nd digit: 2 - 1 = 1). The difference is now ...
2111 -1122 = 0212, done in base 3
D. RationaleConsider the expanded forms of the sum and difference numbers in base 3:
11010₃ = 1×3⁴ +1×3³ +0×3² +1×3¹ +0×3⁰ = 81 +27 +3 = 111₁₀ (67+44=111)
212₃ = 2×3² +1×3¹ +2×3⁰ = 18 +3 +2 = 23₁₀ (67-44=23)
These forms clearly show the place value of a digit position is given by the corresponding power of the number base. You see this when you write base-10 numbers in expanded form. The point is driven home by working with numbers in other bases.
In short, working with numbers in other bases gives you a better understanding of place value.
__
Additional comment
Fractions can be converted to a different base by multiplying the fraction by the base, then using the integer digit as the next digit to the right.
Consider 5/9 in base 3:
5/9 × 3 = 1 2/32/3 × 3 = 2Then 5/9 in base 3 is 0.12
As with base 10, any fraction that cannot be written using a power of the base as its denominator will have a repeating fractional part. For example, ...
1/10 = 0.00220022...(4-digit repeat) in base 3
10 M 4 3 N 2 o 0 0 2 -5 3 0 - Angle MNO is rotated 180 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O? (4 points)
What is the factored form of 64g3+8
Answer:8(2g+1)(4g2-2g+1)
Step-by-step explanation:
Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?
Answer:
The graph shows no trend.
Step-by-step explanation:
See attachment for given graph
Required
What is true about the graph?
From the attached graph, the following points can be deduced:
The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreasesBecause of the highlighted points, it is safe to conclude that the graph shows no trend.
Answer:
D
Step-by-step explanation:
Which is the equation of a line that has a slope of 1/2 and passes through point (-2,3)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.
The wrench having the size as 5/8inch will accommodate the largest bolt.
When the denominator of all the fractions is same , then the fraction with largest numerator is the largest .
For Example : in 2/9 and 7/9 , the largest is 7/9.
In the given question
the different sizes of wrenches are 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.
For comparison , first make the denominator equal
To make the denominator equal , take LCM of denominator
LCM of 2,16,8,32 is 32.
so in 1/2 multiplying the denominator and numerator by 16 we get
1/2 inches as 16/32inches ...(i)
In 7/16 multiplying the denominator and numerator by 2 we get
7/16 inches as 14/32 inches ...(ii)
In 5/8 multiplying the denominator and numerator by 4 we get
5/8inches as 20/32 inches ...(iii)
Writing all sizes of wrenches with same denominator
{16/32 , 14/32 , 20/32 , 15/32 }
Rearranging in descending order we get ,
{20/32 > 16/32 > 15/32 > 14/32}
Which means {5/8 > 1/2 > 15/32 > 7/16} ...(from (i),(ii)&(iii) )
Therefore , the wrench having the size as 5/8 inch will accommodate the largest bolt. the correct option is (c)5/8inch .
The given question is incomplete , the complete question is
Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch. Which size of wrench accommodates the largest bolt?
(a)1/2 inch
(b)7/16 inch
(c)5/8 inch
(d)15/32 inch
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NO LINKS!! Please help me with these problems. Part 8a1
Answer:
33. y = -x² - 2x + 3
34. y = x² + 4x + 3
Equation of a parabola is given by y = a(x - h)² + k
where:
(h, k) is the vertex33.
Looking at the graph find the vertex, vertex is at (-1, 4)
Take one point: (1, 0)
Substitute (h, k) = (-1, 4) and (x, y) = (1, 0) into equation to find value of a:
0 = a(1 - (-1))² + 40 = a(2)² + 44a + 4 = 04a = -4a = -1Now equation:
y = a(x - h)² + k
y = -1(x - (-1))² + 4
y = -(x + 1)² + 4
y = -(x² + 2x + 1) + 4
y = -x² - 2x - 1 + 4
y = -x² - 2x + 3
34.
The vertex is at (h, k) = (-2, -1) and the curve passes through (x, y) = (0, 3)
Find value of a:
y = a(x - h)² + k3 = a(0 - (-2))² - 13 + 1 = a(2)²4a = 4a = 1Now equation:
y = a(x - h)² + k
y = 1(x - (-2))² - 1
y = 1(x + 2)² - 1
y = (x² + 4x + 4) - 1
y = x² + 4x + 3
Answer:
[tex]\textsf{33.} \quad y=-x^2-2x+3[/tex]
[tex]\textsf{34.} \quad y = x^2+4x+3[/tex]
Step-by-step explanation:
Question 33Factored form of a quadratic equation:
[tex]\boxed{y=a(x-r_1)(x-r_2)}[/tex]
where:
a is the leading coefficient.r₁ and r₂ are the roots.From inspection of the graph:
r₁ = -3r₂ = 1vertex = (-1, 4)Substitute the roots and the vertex into the formula and solve for [tex]a[/tex]:
[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies 4 & = a(-1-(-3))(-1-1)\\4 & = a(2)(-2)\\4 & = -4a\\-4a & = 4\\\dfrac{-4a}{-4} & = \dfrac{4}{-4}\\a & = -1\end{aligned}[/tex]
Substitute the found value of [tex]a[/tex] and the roots into the formula and rewrite in standard form:
[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies y & = -1(x-(-3))(x-1)\\y & = -(x+3)(x-1)\\y & = -(x^2+2x-3)\\y & = -x^2-2x+3\end{aligned}[/tex]
Therefore, the equation of the parabola in standard form is:
[tex]y=-x^2-2x+3[/tex]
Question 34Vertex form of a quadratic equation:
[tex]\boxed{y=a(x-h)^2+k}[/tex]
where:
(h, k) is the vertex.a is some constant.From inspection of the graph:
Vertex = (-2, -1) ⇒ h = -2 and k = -1y-intercept = (0, 3)Substitute the vertex and y-intercept into the formula and solve for [tex]a[/tex]:
[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies 3 & = a(0-(-2))^2+(-1)\\3 & = a(0+2)^2-1\\3 & = 4a-1\\3 +1& = 4a-1+1\\4 & = 4a\\4a & = 4\\\dfrac{4a}{4} & = \dfrac{4}{4}\\a & = 1\end{aligned}[/tex]
Substitute the found value of [tex]a[/tex] and the vertex into the formula and rewrite in standard form:
[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies y & = 1(x-(-2))^2+(-1)\\y & = (x+2)^2-1\\y & = (x+2)(x+2)-1\\y & = x^2+4x+4-1\\y & = x^2+4x+3\end{aligned}[/tex]
Therefore, the equation of the parabola in standard form is:
[tex]y & = x^2+4x+3[/tex]
There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answer: 475 inches
Step-by-step explanation:
if we have 100 tiles and each is 4.75 inches wide
100*4.75=475 inches
a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bothered to look for marbles that roll away somewhere. every time a game of marbles ends (each game takes 10-15 minutes), they collect all their marbles in a big box, hide it behind a tree, and go for a quick run. every time these kids hide all their marbles in a box behind the tree, a very intelligent squirrel sneaks up to the box, and if there are more than 12 marbles in it, the squirrel steals 3 marbles and runs off. if this group of kids started with 120 marbles in total, how many games can they play in total before they have less than 10 marbles left (given that they lose some marbles each time they play, and a squirrel steals some marbles each time they go for a run).
Answer:
14 gamesStep-by-step explanation:
Initial number of marbles = 120Lost at every game = 5Stolen by a squirrel = 3Left = less than 10Let the number of games be x
then lost marbles = 5xstolen marbles = 3xInequality:
120 - 5x - 3x < 10120 - 8x < 10110 < 8xx > 110/8x > 13 rounded downSince there should be more than 0 left, another inequality for it:
120 - 8x > 0120 > 8x x < 15So 13 < x < 15, which leaves us with 14
I need to know how to do the equation shown in the attached jpeg file.
The value of A from the given expression is 4288.5
Solving exponential equationsExponential equations are inverse of logarithmic equation and the standard form of the equation is given as:
y = ab^x
Given the expression below:
A = 3000(1+0.018/12)^(12*2)
Simplify for the value of A
A = 3000(1+0.015)^24
A = 3000 (1.015)^24
A = 3000 (1.4295)
A = 4288.5
Hence the value of A from the given expression is = 4288.5
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Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answer:
you dont have 7 to 11
Step-by-step explanation:
13.a
15.a
12.i
14.h
A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?
Answer:
fifty eight centimeters I believe
Answer:
58cm
Step-by-step explanation:
a rectangle has two of the same sides so 16×2=32
and
13×2=26
so
32+26=58
I need help please with this math problem I’ve been having a really hard time trying to figure it out
Answer:
The height of the tree would be 30 ft.
Step-by-step explanation:
This is because the smaller triangle would be 6/12 and the bigger triangle would be x/60. When you cross multiply these you find that x is 30.
Below is the table of values of a function. Write the output when the input is n.
input 5 6 8 n
Output 2 3 5
What’s is the last output?
HELLLLLPPPP MEEEE
Solve for x in the following problem Remember to align your variables.
5x + 2y = 12
-3x = 10 + 2y
Answer:
x= [tex]\frac{12}{5}[/tex]-[tex]\frac{2y}{5}[/tex]
x=[tex]-\frac{10}{3}[/tex]-[tex]\frac{2y}{3}[/tex]
P, Q, R, S, and T are on line k such that Q is the midpoint of PT, R is the midpoint of QT, and Sis
the midpoint of RT. If PS= 9, then what is PT?
The length of the line segment PT is 72 / 7.
What is the length of a given line segment?
In this problem we have the case of five colinear points, that is, points lying on a line, where the following conditions are fulfilled:
PT = 2 · PQ = 2 · QT (Q is the midpoint of PT) (1)
QT = 2 · PR = 2 · RT (R is the midpoint of QT) (2)
RT = 2 · RS = 2 · ST (S is the midpoint RT) (3)
PS = 9 (4)
PT = PS + ST (5)
By (4) and (3) in (5):
PT = 9 + RT / 2 (5b)
(1) in (5b):
2 · QT = 9 + RT / 2 (5c)
(2) in (5c):
4 · RT = 9 + RT / 2
(7 / 2) · RT = 9
RT = 18 / 7
By (5b):
PT = 9 + 18 / 14
PT = 9 + 9 / 7
PT = 72 / 7
The length of the line segment PT is 72 / 7.
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7th Grade Math | I NEED HELP
Xander and Pedro are at an ice cream social. For every scoop of ice cream, Xander uses /8 eighth cup of fruit topping. Pedro uses one more tablespoon of fruit topping than the number of scoops. If Xander and Pedro each use the same amount of fruit topping, how many scoops of ice cream does each use?
9514 1404 393
Answer:
1 scoop
Explanation:
There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.
For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.
Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.
Which expression is a sum of a number and a product? O A. 2(x-9) O B. 6x- 4 O c. 4+ 2x O D.
Answer:
Step-by-step explanation:
Option C is the correct answer
What is y = − 3/10 x − 8 written in standard form?
Answer:
3x + 10 y = -80
Step-by-step explanation:
We are given the equation y = −3/10x − 8 and we want to write it in standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.
The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.
So, to start, we can add 3/10x to both sides.
y = -3/10x - 8
+3/10x +3/10x
_______________
3/10x + y = - 8
Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).
So, we need to clear the fraction.
Multiply both sides by 10.
10(3/10x + y) = 10(-8)
3x + 10y = -80
Any know the answer to this?
f(x) =0x+5
Y hat = -29.8 +2.83
Please help me find the interpret slope!
Answer:
The answer is 32.63
Step-by-step explanation:
Answer:
= −26.97
Step-by-step explanation:
Please help with steps??? Question: Find the solution for a system of equations by elimination
2a - 3y=6
5a +7y = -14
. Alex received a statement from his bank that listed his checking account total balance as -$42.50. What does this number mean?
The bank owes Alex $42.50.
O Alex wrote checks for $42.50 more than the amount he had in his checking account.
O Alex is still able to write checks up to a total of $42.50.
O The bank deleted $42.50 from Alex's checking account
Answer:
The answer is that Alex wrote checks for 42.50 more than the amount he had.
Step-by-step explanation:
If he has -42.50 that means he owes the bank 42.50 the only way he would owe the bank that much is if he spent 42.50 that he didn't have.
8.
Which of the following is not sufficient to
prove a quadrilateral a parallelogram.
a. Show both pairs of opposite sides congruent.
b. Show both pairs of opposite angles congruent.
c. Show both pairs of opposite sides parallel.
d. Show one pair of opposite sides congruent and
the other pair of opposite sides ||-
e. Show the diagonals bisect each other.
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
p l e a s e a n s w e r t h i s q u e s t i o n NOW
Answer:
90 percent
Step-by-step explanation:
easy 36/40=0.9
that means 90 percent
just get big number divided by small
Brainliest PleaseAnswer:
90%
Step-by-step explanation:
36/40 = 9/109/10 = 90/100 90/100 = 90%I hope this helps!