Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9
Answer:
y= 4/7x -1
Step-by-step explanation:
solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1
At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:
Answer: 132 hamburgers and 30 sodas
Step-by-step explanation:
x= Number of hamburgers
y= Number of sodas
1 x + 1 y = 102
1 x -1 y = 30
Eliminate y
Add the two equations
2 x = 132
/ 2
x = 66
plug value of x in (1)
1 x + 1 y = 102
132 + y = 102
y = 102 -132
y = 30
y = 30
x= 132 Number of hamburgers
y= 30 Number of sodas
Answer:
Hotdogs=36
Sodas=66
Step-by-step explanation:
X-Hotdogs
Y-Sodas
Y-30=X
Y+X=102
New equation: 102-X-30=X
Add X to both sides
102-30=2x
x=36
y=66
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
PLZ HELP! NO FAKE ANSWER PLEASE!!!!!! PLEASE AND THANK YOU MARRY CHRISTMAS!
Answer:
1. m=1/2
2. x=4/7
3. t=4
4. y=5
Step-by-step explanation:
1. 5m+4=7m+6
5m-7m=6-5
2m=1
m=1/2
2. -5x+3=2x-1
-5x-2x=-1-3
-7x=-4
x= -4/-7= 4/7
3. 5t-3=3t+5
5t-3t=5+3
2t=8
t=8/2= 4
4. 53y-55= 42y
53y-42y=55
11y=55
y=55/11=5
hope it helps!
Answer:
1. 5m+4=7m+6
Step 1: Subtract 7m from both sides.
5m+4−7m=7m+6−7m
−2m+4=6
Step 2: Subtract 4 from both sides.
−2m+4−4=6−4
−2m=2
Step 3: Divide both sides by -2.
[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]
m=−1
_______________________________
2. −5x+3=2x−1
Subtract 2x from both sides.
−5x+3−2x=−1
Combine −5x and −2x to get −7x.
−7x+3=−1
Subtract 3 from both sides.
−7x=−1−3
Subtract 3 from −1 to get −4.
−7x=−4
Divide both sides by −7.
x= [tex]\frac{-4}{-7}[/tex]
[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.
x= [tex]\frac{4}{7}[/tex]
_____________________________
3. 5t−3=3t+5
Subtract 3t from both sides.
5t−3−3t=5
Combine 5t and −3t to get 2t.
2t−3=5
Add 3 to both sides.
2t=5+3
Add 5 and 3 to get 8.
2t=8
Divide both sides by 2.
t= [tex]\frac{8}{2}[/tex]
Divide 8 by 2 to get 4.
t= 4
___________________________
4. 3y−55=42y
Subtract 42y from both sides.
53y−55−42y=0
Combine 53y and −42y to get 11y.
11y−55=0
Add 55 to both sides. Anything plus zero gives itself.
11y=55
Divide both sides by 11
y= [tex]\frac{55}{11}[/tex]
Divide 55 by 11 to get 5.
y=5
Hey guys happy holidays! any help is appreciated :)
Answer:
That is definitely C
happy holidays to you too
In the figure above, AB = AD, BC = CD, BE = 2, BC = 4, and AC = 10. What is the area of triangle ABD?
The properties of items in a question can be used to simplify the solution to the questions
The area of triangle ΔABD is 20 - 4·√3
The reason the above value for the area of ΔABD is correct is as follows:
The given parameters are;
AB = AD, BC = CD, BE = 2, BC = 4, AC = 10
Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite
∴ AC is perpendicular to BD by properties of the diagonals of a kite
ΔBCE is a right triangle
By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²
Which gives;
[tex]\overline{CE}[/tex]² = 4² - 2² = 12
[tex]\overline{CE}[/tex] = 2·√3
Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;
BD = BE + DE, where BE = DE definition of bisected line
∴ BD = BE + BE = 2·BE
Area of a triangle = (1/2) × Base length × Height
AE = The altitude (height) of the ΔABD = AC - CE
∴ AE = 10 - 2·√3
BD = The base length of ΔABD = 2·BE (Length of BE = 2)
∴ BD = 2 × 2 = 4
The area of triangle ΔABD = (1/2) × BD × AE
∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3
The area of triangle ΔABD = 20 - 4·√3
Learn more about the properties of a kite here:
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which orders paid is a solution is the equation y= 4x + 9
Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]y= 4x + 9[/tex]
All we need is to find any random value of 'x' and then solve for 'y'.
For example, putting x=2
[tex]y= 4x + 9[/tex]
[tex]y=4(2)+9[/tex]
[tex]y=8+9[/tex]
[tex]y=17[/tex]
Thus, (2, 17) is one of the many ordered pairs solutions of the equation.
Similarly, putting x=3
[tex]y= 4x + 9[/tex]
[tex]y=4(3)+9[/tex]
[tex]y=12+9[/tex]
[tex]y=21[/tex]
Thus, (3, 21) is one of the many ordered pairs solutions of the equation.
It’s percentage need help
Answer:
Last week, she earned a total of $702 last week in commission.
Step-by-step explanation:
To solve this, we first need to find 13% of $5,400.
5,400 x 0.13 = 702
Therefore, Nadia earned a total of $702 last week in commission.
Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.
1 year = 52 weeks when rounded to the nearest whole number
702 x 52 = $36,504
Therefore, Nadia earned a total of $36,504 in commission in 2011.
Hope this helps! :D
Isaiah had debt of $440 on his credit card and then paid back $200 . What is the balance of his credit card now
Answer:
240
Step-by-step explanation:
440 - 400 = 240. i cant really explain-
what is the x and y intercepts using this equation?
2y + 6 = 0
Answer:
x is 2 and 6 is y
Step-by-step explanation:
5(x – 3) > 7x + 2
what is the value of x?
Answer:
If I am not mistaken the answer is x<-27/2.
Joey has 40 chocolate bars. He gave 30 away. How many does he have?
Answer:
10....... and friends with diabetes
Step-by-step explanation:
Factor the expression 4x + 32. Explain each step you
take in the process.
Answer:
4x+32= 4(x+8)
Step-by-step explanation
4x+32
The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).
What is the slope of the line.
Answer:
The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Step-by-step explanation:
what does this equal 50+80
also, what is 50+80
Answer: 50+80=130
I wasn’t really sure of what you were really asking, apologies.
Answer:
130 is your answer!
Step-by-step explanation:
50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis
The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.
The formula for the volume using cylindrical shells is:
[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]
Where:
a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).
f(x) is the height of the shell at the given x-value.
2πx is the circumference of the shell at the given x-value.
In this case, we need to express y = x³/4 in terms of x to find the function f(x).
Given: y = x³/4
To find the function in terms of x, solve for x:
[tex]x = (4y)^{(1/3)[/tex]
Now, the function f(x) becomes:
[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]
Now, let's calculate the volume using the cylindrical shell method:
[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]
[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]
To integrate, add 1 to the exponent and divide by the new exponent:
[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]
Now, evaluate the expression at the limits of integration:
[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]
[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]
[tex]\mathrm V = 6\pi/7[/tex]
So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
Learn more about Revolving solid click;
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If the simple interest on $3000 for 7 years is 840$, then what is the interest rate?
Answer:
Step-by-step explanation:
4%
SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️
Answer:
y=3x+2
Step-by-step explanation:
need help with algebra
4. slope: -y-intercept
: -2
Answer:
y = 4/1 - 2
Step-by-step explanation:
That is your words in slope intercept form
Find the slope of the line that passes through (5,2) and (9,6).
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
Plz help this is worth 30 points
Answer:
Choice A
Step-by-step explanation:
Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.
Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.
Step-by-step explanation:
From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.
Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:
= -$1280 - $560
= - $1840
The new balance is -$1840
Answer:
She is not correct. The correct answer should be -$1840
Step-by-step explanation:
Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.
1)
Which decimal represents the portion that is NOT shaded?
A)
0.003
B)
0.03
0
0.3
D)
3.0
Answer:
D) 3.0
Hope this helped
solve for X !
answer quickly please
What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1);
А
{1,3,4}
B
{0, 1, 3}
с
{1, 2,4
D
{0, 1, 2}
Answer:
[tex]\{0,1,2\}[/tex]
Step-by-step explanation:
Given:
[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]
Required
Determine the domain
A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]
Where:
[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation
So, by comparison:
[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain
One of my cats, Apollo, drives a cat car. He used 6/8 of a tank of gas to visit his friends for the weekend, and another 1 half of a tank to commute to work the next week. He then took another weekend trip and used a 1/4 tank of gas. How many tanks of gas did Apollo use altogether? Tanks of gas
Answer:
Total gas used = 3/2 of a tank of gas
Step-by-step explanation:
Visit to friend = 6/8 of a tank of gas
Commute to work = 1/2 of a tank of gas
Weekend trip = 1/4 of a tank of gas
Total gas used = Visit to friend + Commute to work + Weekend trip
= 6/8 + 1/2 + 1/4
= 6+4+2/8
= 12/8
= 3/2
Total gas used = 3/2 of a tank of gas
e owner of a skatepark wants to increase her entry fee of $5 Buy in increments of $0.50 currently the skate park has an average of 500 paying customers per week the equation (500 - 25x)( $5 + $0.50x) give me the estimated weekly income where X is the number of $0.50 entry fee price increases if the entry fee is increased to $7.50 what will be the expected average number of paying customers each week
Answer:
375 paying customers
Step-by-step explanation:
First you need to find how much the fee was increased from $5.00 to $7.50
7.5 - 5 = 2.5
Then how many times the pay increase goes into that number to find your X value
2.5/.5 = 5
Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1
500 - 25(1) = 475
500 - 25(2) = 450
500 - 25(3) = 425
500 - 25(4) = 400
500 - 25 (5) = 375
Answer:
375
Step-by-step explanation:
solve the equation 2(x+2x)=36
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(x + 2x) = 36
Step 2: Solve for x
Combine like terms: 2(3x) = 36Divide both sides by 2: 3x = 18Divide both sides by 3: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(6 + 2(6)) = 36Multiply: 2(6 + 12) = 36Add: 2(18) = 36Multiply: 36 = 36Here we see that 36 does indeed equal 36.
∴ x = 6 is the solution to the equation.
Answer :
2(x+2x)=36
2x + 4x =36
6x =36 is the answer
Hope it helped
is there anything after 16a+20 ?
Answer:
The equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Step-by-step explanation:
Given the expression
[tex]4(4a+5)[/tex]solving the expression to determine the equivalent expression
[tex]4\left(4a+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]
[tex]=16a+20[/tex]
Taking 2 as the common factor
[tex]=2\left(8a+10\right)[/tex]
Also
[tex]12a+20+4a = 16a+20[/tex]
Therefore, the equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
