Answers
Answer:
x+3=2x-61 (corresponding angles)
3+61=2x-x
64=x
x=64
Answer:
x = 64
steps are in the photo
Related Questions
The bank charged you an overdraft fee of $35 for not having enough money in your account.
What is the balance after the bank charged you the overdraft fee?
Answers
The team needs new uniforms. The students plan to sell plush toy s (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells s for $. Company B sells s for $. Company C charges $ for s. Which company has the best buy?
Answers
Company B has the best buy with a selling price of $2.79
Given: Company A sells 16 lions for $44.32
Company B sells 18 lions for $50.22
Company C sells 12 lions for $ 32.88
To find : The selling price of each lion
By using unitary method we get,
Company A sells 1 lion for $ 2.77
Company B sells 1 lion for $2.79
Company C sells 1 lion for $ 2.74
From the above statistics it is clear that Company B has the best buy .
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Which number line shows the solution set for startabsolutevalue h minus 3 endabsolutevalue less-than-or-equal-to 5? a number line going from negative 8 to positive 8. closed circles are at negative 2 and positive 8. everything to the left of negative 2 and to the right of positive 8 is shaded. a number line going from negative 8 to positive 8. closed circles are at negative 2 and positive 8. everything between the points is shaded. a number line going from negative 8 to positive 8. open circles are at negative 2 and positive 8. everything between the points is shaded. a number line going from negative 8 to positive 8. open circles are at negative 2 and positive 8. everything to the left of negative 2 and to the right of positive 8 is shaded.
Answers
closed circles are at negative 2 and positive 8. everything between the points is shaded.
We have the equation:
|h - 3| [tex]\leq[/tex] 5
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|h - 3| [tex]\leq[/tex] 5
as:
(h - 3) [tex]\leq[/tex] 5
or
-(h - 3) [tex]\leq[/tex] 5
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
h [tex]\leq[/tex] 8
Now from the other equation, we can get the other solution:
h [tex]\geq[/tex] -2
Then the correct option is:
closed circles are at negative 2 and positive 8. everything between the points is shaded.
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Which is true about the possible solutions of this function?
Answers
The possible solutions for the given function are as follows:
1 real root and 2 complex roots.What is a function?Each member of X receives exactly one element of Y in the case of a function from one set to the other.The sets X and Y collectively constitute the domain and codomain of the function.Any assertion, rule, or piece of legislation that proves the causal link between the independent and dependent variables (the dependent variable).In the graph, the real roots are the values when it crosses the x-axis.
The function has one real root because it crosses the x-axis just once in this instance.The function has two complex roots since both of its ends go to infinity.Therefore, the possible solutions for the given function are as follows:
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Kaltlin has a patio that is in the shape of a rectangle with an area of 1500 ft?. She has decided to expand the patio so that it can hold mpatio will be a larger rectangle. The current patio has a length of 50 ft and a width of 30 ft. She plans on making the new length 2 timesthe new width 2 times the current width.
Answers
It is given that area of rectangle of Kaitlin is 1500 sq.ft. with length 50 ft and a width of 30 ft.
The new area when new length 2 times the current length and the new width 2 times the current width.
[tex]A=(50\times2)\times(30\times2)=100\times60=6000ft^2[/tex]a. The size of Kaitlin new patio is
[tex]100\times60=6000ft^2[/tex]b. The area of new patio is 4 times the area of current patio.
[tex]1500\times4=6000ft^2[/tex]
Subtract (-2)-(-1) using number line
Answers
Answer:
picture
Step-by-step explanation:
everything in the picture
i hope that this helps
Answer:
the answer is -1 .........
if x= 10.069 what does x + 420=?
Answers
Answer:
10.069 +420 =430.069
Step-by-step explanation:
first step is to add the number 420 to the number before the decimal so 420+10 which equals to 430
Then
u add the number that comes after the decinal together or if only one of them has a number after the decimal place back that number after youre given answer....
23. According to the Guinness Book of World Records, the world’s smallest horse is Thumbelina. Thumbelina is 42.5 cm tall and eats about 0.3 kg of food per day. A former world record holder ate food in the same proportion to its height. If it was 46.25 cm tall, how much did it eat? Give your answer to the nearest hundredth of a kilogram.
Answers
The food that the former world record holder should eat per day is 0.33kg.
How much should should the horse eat?The first step is to determine the ratio of the smallest horse's food per day to the height of the horse. This can be determined by dividing the food eaten per day by the height of the horse.
Division is the operation used in mathematics that is used to determine the quotient of two or more numbers
Ratio of the height and food eaten per day = 0.3 / 42.5
The next step is to multiply the ratio gotten in the previous step by the height of the former world holder
Food the former holder should eat = (0.3 / 42.5) x 46.25 = 0.33 kg
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Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is (0, 4, 11, 22}
a. Define your variable.
b. Write algebraic expressions for the distances each person ran.
c. Write an equation that can help you solve the problem.
d. Solve the equation.
e. Check your answer.
Help Please write it simple
Answers
Using a system of equations, it is found that:
b) The domain of the solution is that Steve ran 11 miles.
c) Variable S gives the distance ran by Steve.
d) The algebraic expressions are: K = 4 + S, K + S = 26.
e) The equation is: 4 + S + S = 26.
What is a system of equations?
A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.
In the context of this situation, the variables are given as follows:
Variable K: Distance ran by Kevin.
Variable S: Distance ran by Steve.
Kevin ran 4 miles more than Steve ran, hence:
K = 4 + S.
The sum of their distances is 26 miles, hence:
K + S = 26.
Replacing the first equation K = 4 + S on the second, we have that:
4 + S + S = 26
2S = 22
S = 11 miles.
How do I find a function from a graph? please I need help, I do not understand how this works. The picture below is my homework I am not asking for the answer I would just like someone to explain how this works please.
Answers
Answer:
F(x)=-(x+4)(x-1)
Step-by-step explanation:
the thing hit both -4 and 1 but in the function -4 become 4 and 1 become-1 so (x+4)(x-1) but we need to make it negative so -(x+4)(x-1)
Prove that: [tex](a+b)^{-1} . (a^{-1} + b^{-1} ) = (ab)^{-1}[/tex]
Answers
Step-by-step explanation:
[tex] \frac{1}{a + b} \times ( \frac{a + b}{ab}) = \frac{1}{ab} [/tex]
Answer with step-by-step explanation:
[tex](a+b)^-^1*(a^-^1+b^-^1)=(ab)^-^1[/tex]
First, convert these into positive indices.
[tex]\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})=\frac{1}{ab}[/tex]
And now, let us solve the left side.
[tex]\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})\\\\[/tex]
First, solve the brackets. That is add the fractions inside the brackets.
[tex]\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})\\\\\frac{1}{(a+b)}*(\frac{1*b}{a*b} +\frac{1*a}{b*a})\\\\\frac{1}{(a+b)}*(\frac{b}{ab} +\frac{a}{ab})\\\\\frac{1}{(a+b)}*\frac{(a+b)}{ab}[/tex]
Now multiply the fractions.
[tex]\frac{1}{ab}[/tex]
So, it's clear that the left side equals the right side.
Left side = Right side
[tex]\frac{1}{ab}=\frac{1}{ab}[/tex]
∴ [tex](a+b)^-^1*(a^-^1+b^-^1)=(ab)^-^1[/tex]
0.5s < 20
Solve the inequality
Answers
Answer:
x ∠ 40
Step-by-step explanation:
0.5x ∠ 20
Divide both sides by 0.5:
x ∠ 40
Express 0.000301 in scientific notation
Answers
Step-by-step explanation:
hola nose inglés q te valla bien
Answer:
you can start out by writing the number in standard form, which means that it shouldn't exceed to 10 . So in this case, we are writing it as 3.01⋅10−4 instead of 30.1⋅10−3 , hope it helpeful
A rectangle is shown below.
measurements are to the nearest cm.
17 cm
9 cm
Calculate the lower bound for the area of the rectangle.
Calculate the upper bound for the perimeter of the rectangle
Answers
Answer:
lower bound for area = 140.25 square cm
upper bound for perimeter = 54 cm
======================================================
Explanation:
L = length
W = width
The unknown length L is rounded to the nearest cm to get to 17
This means it's in the interval [tex]16.5 \le L < 17.5[/tex]
The smallest it can get is L = 16.5 since that rounds to 17
It doesn't reach 17.5 since that would round to 18. But it could be L = 17.49 or L = 17.499 or L = 17.4999 and so on.
Similarly, if the unknown width W rounds to 9 cm, then its unrounded value is somewhere in the interval [tex]8.5 \le W < 9.5[/tex]
------------------------
Select the lower bounds of L and W to compute the lower bound of the area
length*width = L*W = 16.5*8.5 = 140.25
The smallest area possible is 140.25 square cm.
--------------------------
Use the upper bounds of each L and W to find the upper bound of the perimeter.
P = 2(L+W)
P = 2(17.5 + 9.5)
P = 54
In the previous example, we could have a true area of 140.25 square cm. However in this case, there's no way to reach this upper bound 54 itself. This is the so called "ceiling" which we can think of as an electric fence or asymptote value.
We could have the following example perimeter values that approach 54 but not actually reach it
perimeter = 53.9perimeter = 53.99perimeter = 53.999perimeter = 53.9999and so on.
A soccer Practice is 90 minutes long, write an
expression for the number of minutes left after
m minutes have elapsed.
Answers
Answer:
Given that the information,
Length of a soccer practice = 90 minutes
Time that has elapsed = m minutes
Let "y" be the minutes left
Expression for the number of minutes left is
[tex]y = (90 - m) min[/tex]
Examine the pattern of socks Above:
If the pattern continues, how many socks would b in figure 5?
(A.) 29
(B.) 41
(C.) 50
(D.) 52
Answers
Visualizing it by drawing out boxes with how many rows and columns of socks there are, you'll see that by fig. 5, it's going to have 41 socks.
Identify the pair of numbers that represents the boiling point of water in degrees Fahrenheit and the boiling point of water in degree Celsius
Answers
Let's begin by identifying key information given to us:
The boiling point of water is 100 degrees Celsius
We will convert this temperature to Fahrenheit to obtain its equivalent using the formula:
[tex]\begin{gathered} F=\frac{9}{5}C+32_{} \\ C=100^{\circ} \\ F=\frac{9}{5}(100)+32=180+32 \\ F=212^{\circ} \end{gathered}[/tex]Therefore, the first option is the correct answer (212 degrees Fahrenheit & 100 degrees Celsius)
Translate the following phrase into a math expression whichever is appropriate use x to represent the unknown number Six less than the quotient of nine and a number
Answers
Given,
The phrase is,
Six less than the quotient of nine and a number
Consider, the number is x.
The mathematicsl expression of quotient of nine and a number is,
[tex]\frac{9}{x}[/tex]The mathematical expression of six less than is,
[tex]-6[/tex]Combining both statements then,
[tex]\frac{9}{x}-6[/tex]Hence, the mathematical expession is 9/x -6.
Answer:
9/x -6
Step-by-step explanation:
PLS HELP ASAP THIS QUESTION IS REALLY EASY
Answers
Answer:
point form : (-2 , -1)
equation form : x = -2 , y = -1
Step-by-step explanation:
( 5x + 9 = -2x - 5)
for y = 5x + 9 (substitute x = -2)
y = 5(-2) + 9 = -1
X: 3 6 9 12 y: -22 -43 -64 -85 point-slope form:_ slope-intercept form:
Answers
point slope form = y-(-43)=[tex]-\frac{2}{21}[/tex](x-3)
slope intercept form = -[tex]\frac{152}{7}[/tex]=c
What is slope?Finding the ratio of "vertical change" to "horizontal change" between any two unique locations on a line yields the slope. Occasionally, the ratio is written as a quotient (also known as a "rise over run"), which produces the same number for every two unique points on the same line. Negative "rise" refers to a diminishing line. The line could be functional, established by a road surveyor, or depicted in a graphic that represents a road or a roof as a description or a design.
The absolute value of the slope is used to determine how steep, incline, or grade a line is. The steeper the line, the larger the absolute magnitude of the slope. A line's direction might be either horizontal, ascending, decreasing, or vertical
If a line is rising from left to right, it is increasing. Since m>0, the slope is positive.
If a line decreases from left to right, it is said to be diminishing. The slope is inverse, or m0.
A line has zero slope if it is horizontal. This function has a fixed value.
A line's slope is ambiguous if it is vertical.
Slope= [tex]\frac{x-x1}{y-y1}[/tex]= [tex]\frac{3-5}{-22+43}[/tex]=[tex]\frac{-2}{21}[/tex]
point slope form= y-(-43)=[tex]-\frac{2}{21}[/tex](x-3)
slope intercept formy=mx+c
-22=[tex]-\frac{2}{21}[/tex]*3+c
-22+[tex]\frac{2}{7}[/tex]=c
-[tex]\frac{152}{7}[/tex]=c
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Evaluate. Write your answer as a whole number or as a simplified fraction.
Answers
Answer:
1 / 121
Step-by-step explanation:
4^0 = 1
11^2 = 121
4^0 / 11^2 = 1 / 121
Write a quadratic function in standard form whose graph has the given characteristics.
passes through (-8, 0), (-6. - 16), and (2, 0)
y =
Answers
Answer:
Step-by-step explanation:
Hi I need help with this question, please and thank you
Answers
We have the following number, we need to simplify:
[tex]6\cdot\sqrt[]{-2401}[/tex]we can also express this as:
[tex]\begin{gathered} 6\cdot\sqrt[]{(-1)\cdot(2401)} \\ 6\sqrt[]{(-1)\cdot(49)\cdot(49)} \end{gathered}[/tex][tex]\begin{gathered} =6\sqrt[]{-1\cdot49^2} \\ =6\cdot\sqrt[]{-1}\cdot\sqrt[]{49^2} \\ =6\cdot\sqrt[]{-1}\cdot49 \\ =6\cdot49\cdot\sqrt[]{-1} \end{gathered}[/tex]since:
[tex]\sqrt[]{-1}=i[/tex]which represents the imaginary number,
then, we get:
[tex]6\sqrt[]{-2401}=6\cdot49\cdot i=294i[/tex](PLEASE ANSWER THIS!!! I NEED THE ANSWER ASAP!!!) How many numbers are in this equation: 5, 7, 9 . . . 39, 41
Answers
The number of terms in the sequence is 19
How to determine the number of terms in the sequence?The sequence is given as
5, 7, 9 . . . 39, 41
In the above sequence, we can see that
Type of sequence: Arithmetic sequenceFirst term, a = 5Last term, Tn = 41Common difference, d = 2The nth term of an arithmetic sequence is
Tn = a + (n - 1)d
So, we have
5 + (n - 1) * 2 = 41
This gives
(n - 1) * 2 = 36
Divide by 2
n - 1 = 18
Add 1 to both sides
n = 19
Hence, there are 19 numbers in the sequence
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40 POINTS PLEASE ASAP!!!
Answers
a graph shows a proportional relationship. what is the constant of proportionality
Answers
The constant of proportionality is known as the slope of the line.In the graph constant of proportionality is 1/2
What is constant of proportionality?The constant of proportionality is known as the slope of the line.
Constant of proportionality is nothing but slope of a line
The formula for calculating slope is expressed as:
m = y₂-y₁/x₂-x₁
Given the coordinate points (2/3, 3/4 ) and (0,0).
y₂=0, y₁=3/4, x₂=0,x₁ =2/3
substitute the values of y₂=0, y₁=3/4, x₂=0,x₁ =2/3 in slope formula to get constant of proportionality.
The constant of proportionality is expressed as:
m = 3/4 × 2/3
m =6/12
m=1/2
Hence the constant of proportionality is 1/2
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find the measures for angles one and two
Answers
The measure of the angles x and y are 71 degrees and 109 degrees after applying the concept of vertically opposite angles.
What are vertically opposite angles?
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
From the figure:
The value of y can be found by applying the concept of vertically opposite angles:
y = 109 degrees
x = [360 - 2(109)]/2
x = (360 - 218)/2
x = 71 degrees
Thus, the measure of the angles x and y are 71 degrees and 109 degrees after applying the concept of vertically opposite angles.
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a delivery company requires that any box delivered must have a length plus girth (distance around) totaling no more than 120 inches. find the dimensions of the box with maximum volume that can be sent.
Answers
the dimensions of the box is length 20 and width 40inches with maximum volume that can be sent. is V = 16000 inches ^3
length + girth=116 inches
w + 4x= 120
volume=x^2*w
w=120-4x
V=x^2* (120-4x)
for max value, dv/dx=0
dv/dx= 240x-12x^2
240x-12x^2=0
20-x=0
x=20
w=120-4(20)
=40
V=20^2*40==16000inches^3
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Point M is on line segment
L
N
‾
LN
. Given
L
N
=
4
x
,
LN=4x,
M
N
=
x
,
MN=x, and
L
M
=
3
,
LM=3, determine the numerical length of
L
N
‾
.
LN
.
Answers
4 is the numerical length of line segment LN.
What is the numerical length of segment LN?A line segment is simply the part of a line that connects two points or is bounded by two points.
Given the data in the question;
Point M is on line segment LNSegment LN = 4xSegment MN = xSegment LM = 3Numerical length of segment LN = ?Since point M is on line segment LN, segment LN equals to the sum of segment LM and MN.
Hence;
Segment LN = segment LM + segment MN
4x = 3 + x
Solve for x
4x - x = 3
3x = 3
x = 3/3
x = 1
Now, we find the numerical length of segment LN;
Segment LN = 4x
Plug in x = 1 and simplify
Segment LN = 4( 1 )
Segment LN = 4
Therefore, the length of segment LN is 4.
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AB. CD. EF are three chords of a circle, P and Q are two points inside the circle such that AB and CD meet at P, and AB and EF meet at Q. If CP = 2, PD = 7, EQ = 3, QF = 6 and
AP = 2, then QB may be
A. 2 B. 3 C. 4 D. 5 E. 7
Answers
Answer:
Step-by-step explanation:
I think it is option E) 7