Answer:
When d = 8
c = 48
when c = 54
d = 9
Step-by-step explanation:
We have the equation c is proportional to d
[tex]c \: \: \: \alpha \: \: d[/tex]
ie
[tex]\frac{c}{d} = \: a \: constant[/tex]
here given that c = 24 and d = 4 so,
[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]
so we have to find values for c and d which gives
c/d = 6
so when d = 8
[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]
Answer:
c = 6dc = 48 when d=8d = 9 when c=54Step-by-step explanation:
We know:
‘c’ is directly proportional to‘d’
and
c = 24 when d = 4
W can write this in mathematical form as:
c∝d
Removing the proportionality symbol, k is the constant of proportionality
c = kd
To find the value of k, putting the known values of c and d
[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]
So the equation becomes
[tex]c = 6d[/tex]
To find the value of c when d = 8
[tex]c = 6*8\\c = 48[/tex]
To find the value of d when c=54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
c = 6dc = 48 when d=8d = 9 when c=54parallel lines, transversal, and algebra really need help
Answer:
1. 58 = 5x-2, 60 = 5x, x = 12
2. 134 = 16x+22, 112 = 16x, x = 7
3. 125 = 7x-1, 126 = 7x, x = 18
4. 133+9x+2 = 180, 9x=45, x=6
5. 8x-77 = 3x+38, 5x = 115, x=23
6. 11x-47 = 6x-2, 5x = 45, x=9
7. 13x-21 = 5x+75, 8x = 96, x=12
8. 5x+3+9x-33 = 180, 14x = 210, x=15
9. 8x-31 = 6x+3, 2x = 34, x=17
5y+35+6(17)+3 = 180, 5y = 40, y = 8
10. 29x-3+15x+7 = 180, 44x = 176, x=4
13y-17+15(4)+7 = 180, 13y = 130, y=10
1. x = 12
2. x = 7
3. x = 18
4. x = 5
5. x = 23
6. x = 9
7. x = 12
8. x = 15
9. x = 17; y = 8
10. x = 4; y = 10
To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:
corresponding angles are congruent (i.e. equal to each other)vertically opposite angles are congruent alternate angles are congruent same-side interior angles are supplementary (i.e. sum up to give 180°alternate exterior angles are congruent.Let's solve the given problems as shown below given that line l is parallel to line m:
1. [tex]58 = (5x - 2)[/tex] (corresponding angles)
solve for x
[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)
[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)
[tex]12 = x\\x = 12[/tex]
2. [tex]134 = 16x+22[/tex] (alternate exterior angles)
[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)
[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)
[tex]7 = x\\x = 7[/tex]
3. [tex]7x - 1 = 125[/tex] (alternate angles)
[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]
4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)
[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]
5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)
[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]
6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)
[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]
7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)
[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]
8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)
[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]
9. [tex]8x-31 = 6x+3[/tex] (alternate angles)
[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]
Solve for y
[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)
[tex]5y + 35 + 6x + 3 = 180\\[/tex]
Plug in the value of x
[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]
10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)
Solve for y
[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)
Plug in the value of x
[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]
Learn more about parallel lines here:
https://brainly.com/question/16227989
ANSWER PLEASE 40 POINTS!
Answer: |10 - (-8)|
The absolute value is 18
Step-by-step explanation:
The distance between two numbers is a subtraction equation.
10 - (-8) Subtracting a negative is like adding a positive
10 + 8 = 18
If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"
Answer:
|-10 - (-8)|
Step-by-step explanation:
Distance from 10 to 0: 10Distance from 0 to -8: 8Put them together (with absolute value): |-10 - (-8)|I hope this helps!
Pls someone help me!
Answer:
When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.
Please help me will be much appreciated <3
Answer:
She earned 300 dollars by selling 100 headbands.
uhh.i dumb the screenshot is here
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
What is it will mark Brainliest
What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power
Answer:
3
Step-by-step explanation:
multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents
(sq rt 3)^2 = 3
add exponents and power of 1
The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $19 per ticket to the planetarium. The second day they paid $100 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answer:
$170 + $35n
Step-by-step explanation:
Given that:
First day:
Transport fare = $70
Fee per ticket = $19
2nd day:
Transport fare = $100
Fee per ticket = $16
Total cost in dollars for the two days for n members
Number of members = n
First day:
70 + 19n
Second day :
100 + 16n
Totak cost :
(70 + 19n) + (100 + 16n)
70 + 100 + 19n + 16n
170 + 35n
$170 + $35n
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Thats insane tho!
Whats ur aops class that you take?
Please anyone answer it’s a time limit please answer please please help anyone please.
Answer:
(-3,-8)
Step-by-step explanation:
I would explain but that would take too much time.
Answer:
3-8
Step-by-step explanation:
Treys gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Treys tank hold?
Answer:
Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"
Let x = gallons to fill the tank
14
multiply by 12
12*3%2F4x = 12*1%2F6x + 12(14)
3(3x) = 2x + 168
9x - 2x = 168
7x = 168
x = 168/7
x = 24 gallons
:
see if that is true
1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank
1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please
Answer:
1) x=10 2) x= -7.25
Step-by-step explanation:
Im not sure
The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?
Answer:
You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answer:
The answer is (4,1). Substitute the x and y values into the system and you should have the answer.
Answer:
option one
Step-by-step explanation:
Logan is working two summer jobs, making $18 per hour tutoring and making $10 per hour clearing tables. In a given week, he can work a maximum of 13 total hours and must earn at least $170. If xx represents the number of hours tutoring and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answer: he could work 7 hours tutoring and 6 hours clearing tables
Step-by-step explanation:
The system of inequalities can be used to find the number of hours Logan
can spend on each job in a week.
Response:
The system of inequalities are;
x + y ≤ 1318·x + 10·y ≥ 170A possible solution of the system of inequality obtained from the graph is the point (5, 8)
x = 5, and y = 8Methods used to solve the inequality graphicallyThe amount Logan makes per hour tutoring = $18 per hour
The amount he makes clearing tables = $10 per hour
Number of hours Logan can work in a week = 13
Amount he must earn in a week = At least $170
Number of hours he spends tutoring = x
Number of hours he spends clearing tables = y
Based on the given information, we have;
x + y ≤ 1318·x + 10·y ≥ 170Please find attached the graph of the above inequality showing the feasible region.
A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;
A possible solution is x = 5, y = 8Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.
Learn more about inequalities here:
https://brainly.com/question/8284035
A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?
Answer:
15 ft
Step-by-step explanation:
A=LxW
135 ft2 =m X 9ft
Divide 135 by 9
& that equals 15ft.
To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)
Answer:
318.6
Step-by-step explanation:
(3x-9) + (x+15) = 180
3x (x+15) -9 (x+15)
4x + 45x - 9x + 6 = 180
40x + 6 = 180
40x = 180 - 6
40x = 174
x = 4.34
(3x-9) = 4.34 * 3x-9 = 4.02
(x+15) = 4.34 + 15 = 19.34
180 - (4.02 + 19.34)
= 180 - 23.36
= 156.64
hope this answer helps!!
please help me answer this!! geometry
Answer:
-2x+7(10+18)
Step-by-step explanation:
Hope this helps
Permutations vs combinations(one step):
The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?
Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Please help me solve this.
Answer:
9
Step-by-step explanation:
13*3=39
48-39=9
Answer:
48-39=9
^
(13 x 3=39)
+
Write the polynomial "5a2+3a²+a+1” in standard form (from greatest power to
lowest):
Answer:
8a2+a+ 1
Step-by-step explanation:
just so I know the 5a2 is 5a square r?
someone answer please:)
I think its saying to find out what a means
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
what is 53829-(-538)7902(6)=?
Answer:
25561485
Step-by-step explanation:
4. What is the value of -24 + 6?
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
Solve for z. 2z − 3 = 1
Answer:
z = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2z - 3 = 1
Step 2: Solve for z
Add 3 on both sides: 2z = 4Divide 2 on both sides: z = 281/11 as a mixed number
Answer:
7 4/11
Step-by-step explanation:
this is the answer
Answer:
7 4/11
Step-by-step explanation:
81/11= 7 4/11
holly has $10.00. she saw a purse in a catalog that was marked $14.95 plus 5 sales tax
Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.
Step-by-step explanation:
Answer: A. $5.70
Step-by-step explanation:
Find the slope of 6x – 3y = 5
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x