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=54The 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
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!!
+
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?
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:
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
(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.
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
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 = 2Find 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
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
Please help me will be much appreciated <3
Answer:
She earned 300 dollars by selling 100 headbands.
someone answer please:)
I think its saying to find out what a means
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:
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
please help me answer this!! geometry
Answer:
-2x+7(10+18)
Step-by-step explanation:
Hope this helps
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)
What is it will mark Brainliest
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:
81/11 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
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
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?
what is 53829-(-538)7902(6)=?
Answer:
25561485
Step-by-step explanation:
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.
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.
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!
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.
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.
parallel 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
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.4. What is the value of -24 + 6?
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!