Step 1
From the question, Hailey reads 48 pages of a book
Blake reads half as many as Hailey.
Hence Blake reads;
[tex]Blake=\frac{48}{2}=24Pages[/tex]The answer will be together they read;
[tex]48+24=72\text{ pages}[/tex]Answer; Option C
2. At 8:00pm, the temperature was 6°F. By midnight thetemperature was -2°F. If the temperature changed at aconstant rate, what integer represents the hourlychange in temperature?
We have to write the facts..
It's a little bit easy to understand if you put that numbers in a table.. like this
Now, they ask you an integer that represents a change per hour, and they say you that assume a constant change... then we complement the table with different values per hour until arrive at midnight..
now, you can see that you have two points.. with two coordinates, and you can find a line equation assuming that you have a constant change like this case...
[tex](x,y)\text{ is a general form of one point.. ok?}[/tex]that you place in the cartesian axes.. like this..
You know that you put x values in the horizontal line and y values in the vertical line..
for example, we're gonna place the point (2,1) that means that 2 in x axe and 1 in y axe..
Please help!! Find the values of x and y.
The values of x and y will be 100° and 10° when two parallel lines are being cut by a transversal line.
According to the question,
We have a figure where two parallel lines are being cut by a transversal line.
Now, we know that the angles formed on a straight line is 180° and vertically opposite angles are equal.
The sum of consecutive interior angles is 180°.
Now, we will use these three statements in finding the values of x and y.
Now, adding (2x-70)° and (5y)° will give 180° because the angles made are on a straight line.
(2x-70)°+(5y)° = 180°
2x+5y = (180+70)°
2x+5y = 250° .... (1)
Now, (x+30)° will be the interior angle consecutive to 5y° because they are vertically opposite angles.
So, we have:
(x+30)°+5y° = 180°
x+5y = (180-30)°
x+5y = 150°
5y = 150-x
Now, putting this value of 5y in equation 1:
2x+5y = 250
2x+150-x = 250
x+150 = 250
x = (250-150)°
x = 100°
Now, we will find the value of y:
5y = 150-x
5y = 150-100
5y = 50
y = 50/5
y = 10°
(Note that the values of x and y will be in ° because angles are measured in degree.)
Hence, the value of x is 100° and the value of y is 10°.
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PLS HELP!
I’ll give brainliest if you also explain!
What are the equations of lines m and q?
Equation of 'm'
(y - 6) = - ³/₅ (x - 2) [point-slope form]
y = - ³/₅ x + ³⁶/₅ [slope-intercept form]
Equation of 'q'
(y - 6) = ⁵/₃ (x - 2) [point-slope form]
y = ⁵/₃ x + ⁸/₃ [slope-intercept form]
How to find the equations of lines m and q?To find the equation for both 'm' and 'q' requires a bit of work. Because neither 'm' nor 'q' has two points to find the slopes of the line, we have to get creative.
The Line 'n' has two points [ (4, 4) & (1, -1) ], and as such we can find the slope of that line. The line 'n' is parallel with 'q' and perpendicular with m.
For finding the slope of 'n'
The slope of the 'n' = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - (- 1)) ÷ (4 - 1)
= 5 ÷ 3
= ⁵/₃
To estimate the slope of 'q' and 'm'
When two lines exists parallel, they contain the exact slope.
Since 'n' and 'q' exists parallel,
then the slope of q = ⁵/₃
When two lines exists perpendicular, the product of their slopes exists -1. This means that the slopes exists negative-reciprocals of each other.
Since 'n' and 'm' exists perpendicular
then the slope of m = - ³/₅
Write the equation for 'q' and 'm'
We can now utilize the point-slope form (y - y₁) = m(x - x₁)) to write the equation for the lines
For both 'q' and 'm' let (x₁, y₁) be (2, 6)
Equation of 'm'
(y - 6) = - ³/₅ (x - 2) [point-slope form]
y = - ³/₅ x + ³⁶/₅ [slope-intercept form]
Equation of 'q'
(y - 6) = ⁵/₃ (x - 2) [point-slope form]
y = ⁵/₃ x + ⁸/₃ [slope-intercept form]
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help meeeeeee pleaseee !!!!
The linear equation parallel to y = 3x - 2 that passes through the point (4, 6) is:
y = 3*x - 6
How to find the equation of the parallel line?Here we want to find a linear equation parallel to:
y = 3x - 2
Now, a general linear equation is:
y = m*x + b
Where m is the slope and b is the y-intercept.
Remember that two lines are parallel if and only if the lines have the same slope and different y-intercept.
So our linear equation will be something like:
y = 3*x + c
Now we also want our line to pass through the point (4, 6), then we can replace these values:
6 = 3*4 + c
6 = 12 + c
6 - 12 = c
-6 = c
So the linear equation is:
y = 3*x - 6
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2. If y = x3 + 2x + 5 and z = x2 + 7x + 1, what is 2y + z in terms of x? (A) 3x3 + 11x + 11 (B) 2x3 + x2 + 9x + 6 (C) 2x3 + x2 + 11x + 11 (D) 2x3 + 2x2 + 18x + 12
the given equation is,
[tex]y=x^3+2x+5[/tex]and
[tex]z=x^2+7x+1[/tex]now the expression is,
2y + z
put the values,
[tex]2(x^3+2x+5)+x^2+7x+1[/tex][tex]\begin{gathered} 2x^3+4x+10+x^2+7x+1 \\ 2x^3+x^2+11x+11 \end{gathered}[/tex]thus, the correct answer is option C
✓
3 sisters age combined are 57. Jenny is 6 years
older then Lynn. Kim is 5 less then twice the age of
Lynn age. What are the sisters ages.
Jenny's age is 20 years, Lynn is 14 years and Kim is 23 years.
Let's take Jenny as J, Kim as K and, Lynn as L.
From the given statement we get the equation.
As the sum of the age of the three sisters is 57. So we have an equation,
J + K + L = 57 ........(i)
Jenny is 6 years older than Lynn. So the next equation is,
J = 6 + L .......(ii)
Kim is 5 years less than twice her age Lynn. So the equation is,
K = 2L -5 .........(iii)
Putting equations (ii) and (iii) in equation (i)
6 +L + 2L - 5 + L = 57
4L = 56
L = 14
Put the value of L in equations (ii) and (iii)
J = 6 + 14
= 20
K = 2(14) -5
= 28 - 5
= 23
Therefore the age of Jenny is 20 years, Lynn is 14 years and Kim is 23 years.
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bill saved 3,500 to take a vocation. if he pays 816 for his plane ticket, 125 per day for hotel accommodation, 100 per day for food, and 95 per day for sightseeing, at most how many days will bill be able to stay on vocation
Answer:
7 day
Step-by-step explanation:
Pa brainlest po plsss
Answer: 8 days
Step-by-step explanation:
1) Set up an equation. Let x be the day
3,500 >= 2(816) + x(100+95)
The 816 is just two times (Plane ticket back and forth) so it doesn't go into the x. 100 and 95 do as it is one day.
2) Solve the equation
3,500 >= 2(816) + x(100+95)
1868 >= 195x
9.57 >= x
3) Rounding
Since the x has to be less than 9.57, our next option is 8
If the measure of angle 1 = 2x+3 and the measure of angle 2 = 3x+2, then what is the measure of angle 3?
Answer: 126°
Step-by-step explanation:
Step-by-step explanation: Since every triangle has 180 interior degrees, we can say 2x + 3x + 90° = 180°. Subtract 90° from each side and we get
2x + 3x = 90°
5x = 90°
x = 18°
Plug in x for Angle 2, giving us Angle 2 = 54°
Angle 1 and angle 2 must add up to 180°
Subtract 54° from 180° and we get 126°
-8+19+8 witch is the value of the expression
The expression given as -8+19+8 has a value of 19
How to evaluate the expression?From the question, the expression is given as
-8+19+8
Rewrite the expression properly
This is rewritten as follows
-8 + 19 + 8
Collect the like terms in the above expression
So, we have the following equation
-8 + 19 + 8 = 8 - 8 + 19
Evaluate the like terms in the above expression
So, we have the following equation
-8 + 19 + 8 = 0 + 19
Finally. we add 0 and 19
So, we have the following equation
-8 + 19 + 8 = 19
Hence, the valye of the expression is 19
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The obtained value of the given expression -8 + 19 + 8 would be 19 which is determined by using the arithmetic operation.
What are Arithmetic operations?In mathematics, the addition, subtraction, division, and multiplication of built-in expressions can also be used to specify arithmetic operations.
The expression which is given in the question is below
⇒ -8 + 19 + 8
Rearrange similar terms in the above expression,
⇒ 8 - 8 + 19
Apply the subtraction operation,
⇒ 0 + 19
Apply the addition operation to get the answer,
⇒ 19
Hence, the obtained value of the given expression -8 + 19 + 8 would be 19 which is determined by using the arithmetic operation.
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help it’ll be greatly appreciated:(
Answer:
hola como estas soy de guatemala
In order for the data in the table to represent a liner function with a rate of change of -8, what must be the value of a
By definition, the Rate of change is also called "Slope".
The slope of a line can be found dividing the difference between the y-coordinates of two points, by the difference between the x-coordinate of those points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case you know that:
[tex]m=-8[/tex]Knowing the following point on the line:
[tex]\mleft(10,27\mright);(11,a)[/tex]You can set up the following (substituting the slope and the coordinates of those point into the formula)
[tex]-8=\frac{27-a}{10-11}[/tex]Now you can solve for "a":
[tex]\begin{gathered} (-8)(-1)=27-a \\ 8-27=a \\ -19=a \\ a=19 \end{gathered}[/tex]The answer is: Third option.
#1 - Find the inverse of the function shown. *y = ( 6х + 12)/2
The given function is expressed as
y = (6x + 12)/2
In order to determine the inverse of the given function, we would substitute x for y and y for x. Then we would solve for y. It becomes
x = (6y + 12)/2
x = 3y + 6
3y = x - 6
y = (x - 6)/3
y = x/3 - 2
The inverse is
y = x/3 - 2
In class of 35 students, 19 take Spanish, 18 take French and 3 Take neither. Calculate
how many takes:
A) Both French and Spanish
B) Just Spanish
C) Just French
Students takes both French and Spanish is 5 members
Student takes just Spanish = 14 members
Student takes just French = 13 members
Given :
Total numbers of students in class = 35
how many members take spanish = 19
how many members take french = 18
students take neither = 3
To find :
A) Both French and Spanish
B) Just Spanish
C) Just French
Solution :
from venn diagram
a+b+c+d = 35 → 1
b+c = 19 → 2
c+d = 18 → 3
a = 3 → 4
Substract equation 1 and equation 2
a+b+c+d-b-c=35-19
a+d=16 → 5
substract a=3 in the eqution 5
3+d=16
d=13
put d=13 in equation 3
c+d=18
c+13=18
c=5
Students takes both French and Spanish is 5 members
Student takes just Spanish = 14 members
Student takes just French = 13 members
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I need help writing the formula step by step please if anyone can help
f(x)=x ^2
Translate 8.5 units to the left
f(x)= (x + 8.5 )^2
vertical Stretch of a factor of 3
f(x)= 3 (x + 8.5 )^2
7 units down
f(x)= 3 (x + 8.5 )^2 - 7
100 students took an exam, the maximum score was 90. From the graph, 1.what was the median score?2.Also, find the lower quartile score. in reference to the first question. 3. what is the inter-quartile score range score?
0. From the given graph, the cumulative frequency value indicates the number of students, we have 100 total number of students .
• so,Median is half of the students = 100/2 = 50
the value of test score that corresponds with 50 = 55 test score
• This means that the median , 50 students scored 55 % in the exa,m.
2. Finding the lower quartile Q1 :
since we have 100 students , 100/4 = 25, so Q1 = 25
the value that corresponds with cumulative frequency of 25 = 45
• This means that 25 students scores 45 %
3. Finding the Interquartile range :
IQR = Upper Quartile -Lower Quartile
Upper quartile = Q3 = 75 students : 60 %
and lower quartile = 45%
So,
IQR = 60-45
= 15
• This means that 15 students got 35 %
Evaluate using your knowledge of the unit circle:cot 120°
We are asked to evaluate cot 120,
[tex]\begin{gathered} \cot 120^0=\frac{1}{\tan 120^0} \\ 120^0\text{ falls in the second quadrant. } \\ \tan 120^0=-\tan (180^0-120^0)=-\tan 60^0 \\ \end{gathered}[/tex][tex]\Rightarrow\cot 120^0=-\frac{1}{\tan 60^0}=-\frac{1}{\sqrt[]{3}}=-\frac{\sqrt[]{3}}{3}[/tex]what is three.twenty-seven times one hundred
Answer:
32,700
Step-by-step explanation:
Is 5.67 < > = to 1.93
Answer: 5.67> 1.93
Step-by-step explanation:
Let's think of it this way, if you have five apples and another person has one apple. Do you think you have a greater amount of apples?
Of course because 5.67 is a larger number than 1.93. You can always make a number line.
Line a is parallel to line b. Which list shows accurate angle relationships?
Given:
Line a is parallel to line b.
As shown:
m∠1 = m∠5 ; the corresponding angles are congruent
m∠2 = m∠2 ; the corresponding angles are congruent
So, the answer will be option 2
What’s the correct answer answer asap for brainlist
Answer:
B
Step-by-step explanation:
the treaty for defeated Germany was Article 231, commonly known as the "War Guilt Clause," which forced the German nation to accept complete responsibility for initiating World War I. Germany was required to make enormous reparation payments
At State College last term, 57 of the students in a Physics course earned As, 79 earned Bs, 102 got Cs, 94 were issued Ds, and 53 failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the A region?
Given:-
57 students in a physics course earned A.
79 students course earned B.
102 students course earned C.
94 students course earned D.
53 students failed the course.
To find:-
How many degrees would be used to indicate the region A.
Total number of students is,
[tex]57+79+102+94+53=385[/tex]Now we find the degrees to indicate the region A. we get,
[tex]\frac{57}{385}\times360=0.1480\times360=53.29[/tex]So the required soluion is 53.29 degrees.
find the length of arc CE. Round to the nearest hundredth.
We go from degrees to radians:
[tex]122\degree=122\degree\cdot\frac{\pi}{180\degree}=\frac{61\pi}{90}[/tex]Now, the length of arc CE is:
[tex]CE=m\measuredangle CDE\cdot CD[/tex]Where CD = 6 units. Using the angle in radians:
[tex]CE=\frac{61\pi}{90}\cdot6=12.78\text{ units}[/tex]4^6*3^4*2^2/4^2*3^4*2^6
Answer:
16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors. Hope this helps! <3
Divide. Give the quotient and remainde 2249 = 3 x Quotient: S II I Remainder:
We will find the quotient and remainder as follows:
The quotient is 749 and the remainder is 2.
Homework: Section 5.2 HomeworkQuestion 1, 5.2.7HW Score: 88.33%, 10.6 of 12 pointsPart 2 of 6« Points: 0 of 1Previous questionA medical practice group consists of seven doctors, 4 women and 3 men. The women are Dre, Jonswold, Hein, O'Conell, and Lee. The men are Drs. Penner, Paquette, and Marland. Supposenew patients are randomly assigned to one of the doctors in the group, Complete parts (a) through (d) below.
Solution
Total numbers of Doctors = 7
Number of female doctors = 4
Number of male doctors = 3
The probability that the patient is assigned to a female doctor is given as
[tex]p=\frac{4}{7}\text{ \lparen as a fraction\rparen}[/tex]To express as a percentage
[tex]undefined[/tex]Find the surface area of the figure. Round to the nearest hundredths place if necessary.
Craig is training to try out for the wrestling team at his school. Each week he records the number of sit-ups he can do in 1 minute so that he can track his improvement. The table shows his results over the first 3 weeks.
Week Number of Sit-Ups
1 40
2 44
3 47
Find the percent of change from Week 1 to Week 2 and from Week 2 to Week 3. Round to the nearest tenth percent if necessary.
Percent of change from Week 1 to Week 2:
%
Part B
Fill in the blank question.
Percent of change from Week 2 to Week 3:
%
The percent of change from Week 1 to Week 2 is 10%.
The percent of change from Week 2 to Week 3 is 6.8%
What is the percentage change?Percentage is the ratio of an amount that is expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.
The percent of change from Week 1 to Week 2 = (number of sit ups in week 2 / number of sit ups in week 1) - 1
(44 / 40) - 1 = 0.1 = 10%
The percent of change from Week 2 to Week 3 = (number of sit ups in week 3 / number of sit ups in week 2) - 1
(47 / 44) - 1 = 0.068 = 6.8%
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The following data represent the number of people aged 25 to 64 years covered by health Insurance (private or government) in 2018. Approximate the mean and standard deviation for age.Age
Explanation
For the given data, we will have the following:
We are given grouped data, from which we will obtain the mean and standard deviation
Thus, we will have
From the above,
We have the mean to be approximately 44.68.
For the standard deviation
We will have
Thus, we have the standard deviation to be 10.22
estimate 7271 divided by 12= ?
Answer:
B
Step-by-step explanation:
Because i used a calculator
Answer:
C 700
Step-by-step explanation:
7271 is close to 7000
12 is close to 10
So 7000/10 = 700
4. Take your values from the previous chart (In question 2) and convert them fromCelsius to Fahrenheit. Follow the example below, and use the conversion rule to fillout the chart for degrees Fahrenheit when t = 12 and t = 24. (2 polnts: 1 point foreach row)FO-c«) +32Example(0,-32)C(O)- -3.20FCO) - (-32)+32F(0) - -5.76 +32FO) - 26.24 F12
Conversion of Degrees Celsius to Degrees Fehrenheit.
[tex]\begin{gathered} F(t)=\frac{9}{5}C(t)\text{ + 32 }\ldots eqn(1) \\ \text{Making C(t) the subject of the formula, we get} \\ \text{Subtract 32 from both sides, we get} \\ F(t)\text{ -32=}\frac{9}{5}C(t)+32-32 \\ F(t)\text{ -32 =}\frac{9}{5}C(t) \\ \text{Multiplying both sides by }\frac{5}{9}\text{ , we get} \\ \frac{5}{9}\lbrack F(t)-32\rbrack=\frac{5}{9}\times\frac{9}{5}C(t) \\ \\ \frac{5}{9}\lbrack F(t)\text{ - 32\rbrack = C(t)} \\ C(t)=\frac{5}{9}\lbrack F(t)\text{ -32\rbrack}\ldots eqn(2) \end{gathered}[/tex]Substitute 12 for t in eqn(1), we get
[tex]\begin{gathered} t=12 \\ C(12)=40 \\ F(12)=\frac{9}{5}C(12)\text{ + 32} \\ F(12)=(\frac{9}{5}\times40)\text{ }+32 \\ F(12)=(9\times8)+32 \\ F(12)=72+32=104^oF \end{gathered}[/tex]When t =24,
C(24) = 0 , ( does not exist since the graph did not touch the graph)
[tex]\begin{gathered} t=24 \\ C(24)=0 \\ F(24)=\frac{9}{5}C(24)\text{ + 32} \\ F(24)=(\frac{9}{5}\times0)\text{ +32} \\ F(24)=32^oF \end{gathered}[/tex]Hence, the correct answer are:
t =12, C(12) = 104 degrees Fehrenheit, and
t =24, C(24) = 32 degrees Fehrenheit