Answer: 13x -8y
Hey there!
To get started we need to figure out what the equation is by remembering the sum is addition.
6x-y + 7x-7y
Then we need to combine like terms
(6x+7x) (-7y-y)
to get...
13x-8y
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam? 32 40 44 48
Answer:
44
Step-by-step explanation:
Let x and y be the total number of questions in part 1 and part 2 exams respectively.
For part 1:
Number of correct question = 4/5 of the total number of question in part 1
[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]
[tex]\Rightarrow x=20[/tex]
For part 2:
Number of corrected question = 2/3 of total number of question in part 2
[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]
[tex]\Rightarrow x=24[/tex]
So, the total umbers of the questions on Stephanie's exam
=x+y
=20+24
=44
Hence, the total umbers of the questions on Stephanie's exam was 44.
What is the equation of the line passing through the points (3,1) and (6,7)
Answer:
y=2x-5
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(3,1) and (6,7).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=1.
Also, let's call the second point you gave, (6,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=7.
Now, just plug the numbers into the formula for m above, like this:
m=
7 - 1
6 - 3
or...
m=
6
3
or...
m=2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(3,1). When x of the line is 3, y of the line must be 1.
(6,7). When x of the line is 6, y of the line must be 7.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (3,1) and (6,7).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(3,1). y=mx+b or 1=2 × 3+b, or solving for b: b=1-(2)(3). b=-5.
(6,7). y=mx+b or 7=2 × 6+b, or solving for b: b=7-(2)(6). b=-5.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(3,1) and (6,7)
is
y=2x-5
Star A is about 3.4 x10^18 miles from earth. star B is 6.8 x 10^16 miles from earth.Star A is how many times as far from Earth as Star B? I
Answer: It's 50
Step-by-step explanation:
3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.
Use the drop-down menus to complete each statement.
The amplitude of the function is
.
The period of the function is
.
The graph has a vertical shift of
units.
Answer:
StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet
Step-by-step explanation:
The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.
A.........................................
A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.
Not a function as input values repeated: negative 3
B.........................................
StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet
Yes, it is a function
C.........................................
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.
Not a function as input values repeated: 0
D.........................................
StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet
Not a function as input values repeated: negative 12
So correct one is option B
Can someone please help me on this?
Answer:
linear pair: a pair of angles that equal 180 and make a line
complementary angles: 2 angles that equal 90 degrees
vertical angles: angles that are vertical from each other that equal the same sum
supplementary angles: 2 angles that equal 180 degrees
Step-by-step explanation:
ima sophomore did this a long time ago.
Which expression is equal to -8?
4 x -2
-24
÷
÷ -3
11 + (-3)
11 - (-3)
Answer:
4 x -2
Step-by-step explanation:
4 * -2 = -8
-24 / -3 = 8
11 + (-3) = 8
11 - (-3) = 14
Select the proper order from least to greatest pleas
Answer: B
Proof is 7/6 is more than a whole so it’s the greatest while 1/8 is the least then that leaves 2/3 and 9/10 and 9/10 is greater than 2/3 so the answer should be B
Answer:
Your picture is locked I would fix it but I dont know how.
Step-by-step explanation:
Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita's Solution Sarita's Verification 1 5 x minus 15 + 7 x + 28 = 73 5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73. 2 (5 + 7) x + (negative 15 + 28) = 73 3 12 x + 13 = 73 4 12 x + 60 5 x = 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake?
Answer:
Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.
Step-by-step explanation:
Given the following equation:
The steps to solve it are:
5(x-3)+7(x+4)-73
1. Apply the Distributive property:
5x-15+7x+28=73
2. Add the like terms:
12x+13=73
3. Subtract5 13 from both sides of the equation:
12x+13-(13)=73-(13
12x=60
4. Divide both sides of the equation by 12:
12r/12 = 60/12
x = 5
To verify it, let's substitute into the equation:
5(5-3)+7(5+4)=73
Evaluating, we get:
5(2)+7(9)=73
10+63=73
73=73
Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )
Answer:
A. Sarita’s solution is correct. She made an error in her verification.
Step-by-step explanation:
EDGE 2020
There are 6 m spaces help
Answer with step-by-step explanation:
If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.
7.5 cm = 1/16 m
9 cm = 3/40 m
6 cm = 1/20 m
3.5 cm = 7/240 m
Hope this helped!
Pete owes his brother $35 from five weeks of borrowing money.
a. What is the mean amount Pete borrowed from his brother each week?
b. If Pete continues to borrow his money, how much money will he owe after three more weeks?
Answer:
The Answer for a is $175
Step-by-step explanation:
Thats all I know sorry
The expression 5/2k −2 factored is
Answer:
Factored out is 1/2 or 0.5
Step-by-step explanation:
5k - 4 over 2
36 x 79 whats the answer show your work pls
79×36=2,844 is the multiplied amswer
Please solve for me ;6÷2(1+2)
Answer:
9
Step-by-step explanation:
Milene é doceira e a seguir está uma representação dos bombons que ela fez no dia. Do total dos bombons que fez 2/3 são de coco. Escreva a quantidade que representa os bombons de coco. *finja que aqui tem 24 bombons*
Answer:
16 bombons de coco
Step-by-step explanation:
A partir da pergunta, somos instruídos a fingir que o número total de bombons (chocolate) que ela fez = 24 bombons
Do total de chocolates que ele fez, 2/3 são de coco.
Portanto, a quantidade que representa os doces de coco é representada como:
2/3 × 24
= 16
Portanto, a quantidade de bombons de coco = 16
How do horizontal and vertical translations each affect the coordinates of the points on a figure.
Answer:
Hi there!
Your answer is:
Perform the translation:
x-10
y-3
Step-by-step explanation:
A translation is how many units X moved left/right and how many units Y moved up/down!
In your case, X went left and Y went down! This means there was a DECREASE in both of these values!
We can determine this by choosing one point and counting how many units it moved.
Lets use the point on figure 1 at (2,5)
Where did it move on figure 2? (-8, 2)
How many units left did it go? 10!
How many units down did it go? 3!
Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;
The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎
Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2
The reason the above sequence is correct is as follows:
Given that translations are rigid motion, we have;
The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2
The coordinates of the point on the top right corner of Figure 1 is (6, 8)
The coordinates of the corresponding point in Figure 2 is (-4, 5)
The sequence of translation, T, is given by the difference of the coordinates as follows;
The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎
Therefore, the sequence of translation are;
1) Shift Figure 1, 10 units to the left then 2) Shift Figure 1, 3 units down to move Figure 1 to Figure 2
Learn more about rigid transformations here:
https://brainly.com/question/23461633
hello me please asap
Answer:
7,10,19 and 4,5,9
Step-by-step explanation:
According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9
A New York City veterinary technician makes $40,532.00 per year. He is paid every two weeks. What is his gross pay per paycheck? (Remember there are 52 weeks in a year)
Answer:
His gross pay per paycheck is $1558.92
Step-by-step explanation:
$40,532.00 ÷ 52 = 779.461538462
779.461538462 × 2 = 1558.92308
1558.92308 ≈ $1558.92
If using the method of completing the square to solve the quadratic equation
x2 - 6x – 34 = 0, which number would have to be added to "complete the
square"?
Answer:
9
Step-by-step explanation:
divide -6 by 2 then square the answer(-3)=9
The solution of x² - 6x – 34 = 0 by completing square method is
⇒x = 3 ±√43
The given quadratic equation is
x² - 6x – 34 = 0,
We know that whole square formula
(p+q)² = p² + q² + 2pq
Now convert the given expression into this form
So adding 9 both sides
⇒ x² - 6x – 34 + 9 = 9
⇒ x² - 6x + 9 = 43
⇒ x² - (2)(3)x + 3² = 43
⇒ (x - 3)² = 43
Taking square root both sides we get
⇒ (x - 3) = ±√43
Add 3 both sides we get
⇒ x = 3 ±√43
Thus the solution of the given quadratic equation is
x = 3 ±√43
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ6
Please answer will give brainliest! What is the distance between −93 and 114 on a number line? −207 −21 21 207
−207
−21
21
207
Answer:
207
Step-by-step explanation:
It automatically can not be -207 and -21 because you can't have a negative distance. To find the correct answer between 21 and 207, first you have to add 93 and 114. You do this because -93 is below the number line, so you have to add it to 114. 114 + 93 = 207
207
I hope this helps
Which of the following lines is perpendicular to the line y = -3 x + 2 and passes through the point (–2, 8)?
Answer:
y = 1/3x + 26/3
Step-by-step explanation:
Original equation: y = -3x + 2
Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.
Slope of original equation: -3
Slope of perpendicular line: 1/3
How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3
Then you substitute (-2, 8) into the new equation: y = 1/3x + b
*there's b because you don't know the y-intercept yet
Substitute: 8 = 1/3(-2) + b
8 = -2/3 + b
Add 2/3 on both sides
b = 24/3 + 2/3
b = 26/3
*this is the y-intercept
Therefore, the perpendicular equation is: y = 1/3x + 26/3
.
Gus and Mark collect baseball cards and they keep them in plastic sleeves. Gus has 5 plastic sleeves that are full of cards. Mark has 2 sleeves full of cards and 6 additional cards.
If Gus and Mark have the same number of cards, which equation could be used to find the number of cards in one sleeve?
A.) s + 5 = s + 2 + 6
B.) 5s = 2s - 6
C.) 5s + 6 = 2s
D.) 5s = 2s + 6
What is 2.1 with 1 repeating as a mixed fraction
A 2 1/10
B 2 1/9
C 2 11/10
D 12/100
Answer:
the answer is B
Step-by-step explanation:
1. convert the mixed number choices to improper fractions
2. type each improper fraction into a calculator
3. see which one comes out as 2.111111111
4. find out that it's B and you'll B happy (see what I did there, it's a pun)
What is the best estimate for ?
5.75
6.25
7.5
8.1
Answer:
The answer is 6.25
Step-by-step explanation:
Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.
answer please this question
Answer:
p = 4√5
Step-by-step explanation:
To solve for P, we can use the Pythagorean theorem.
a²+b²=c²
(8)²+(p)²=12²
64+p²=144
p²=80
√p=√80
p = 4√5
NEED HELP PLZ WILL GIVE BRAINLIEST IF CORRECT!
Answer: The line is horizontal
Step-by-step explanation:
The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it
2p + 4q =20 translate into a sentence
Answer:
two "P" plus four "Q" equals twenty
Step-by-step explanation:
I changed the numbers to words
Evaluate the expression for the given values of the variables.
5d − 4e − 14 for d = 5 and e = −7
When d = 5 and e = −7, the expression is equal to
Answer:
39
Step-by-step explanation:
5(5) - 4(-7) - 14 is what the equation should look like.
Just simplify the expression.
A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
angle of rotation is
A) 360°
B) 180°
OC) 90°
OD) 270°
Option D, 270 is the answer
Answer:
D
Step-by-step explanation:
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 51°F and the low temperature for the same day was 45°F, what is the number of heating degree days? A. 17 B. 48 C. 113 D. 14
Given that,
The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.
Solution,
The high temperature was 51°F and the low temperature was 45°F.
Average of high and low temperatures for the day is given by :
[tex]T=\dfrac{51+45}{2}\\\\T=48^{\circ} F[/tex]
Now using formula :
H = 65 - T
H = 65 - 48
H = 17
Hence, there are 17 heating degree days.
19+13x=32 plz help A:1 B:3/12/13 C:169. D:663
Answer: A
Step-by-step explanation:
19+13x+32
13x=32-19
13x=13
x=1