Answer:
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Step-by-step explanation:
Mr. Linx wages = x
Mrs. Lynn wages = y
x + y = 32.50 (1)
35x + 37y = 1,172.50 (2)
From (1)
x = 32.50 - y
Substitute x = 32.50 - y into (2)
35x + 37y = 1,172.50
35(32.50 - y) + 37y = 1172.50
1137.5 - 35y + 37y = 1172.50
- 35y + 37y = 1172.50 - 1137.50
2y = 35
y = 35/2
y = 17.50
Substitute y = 17.50 into (1)
x + y = 32.50
x + 17.50 = 32.50
x = 32.50 - 17.50
x = 15
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
When written in factored form, 6w^2-11w−2 is equivalent to
Answer:
(6w+1)(w-2)
Step-by-step explanation:
Answer:
13w - 2
Step-by-step explanation:
6w² - 11w - 2
24w - 11w - 2
13w - 2
HELP URGENT!!!!! 50 POINTS
6/1.5=4
is the scale factor for the smaller triangle to the bigger triangle
Answer:
6/1.5=4
Step-by-step explanation:
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?
a.7
b.6
C.5
D.4
Answer:
5
Step-by-step explanation:
9p-5
9(5)-5
45-5
40
(3+p)5
(3+5)5
(8)5
40
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
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Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Complete the equations below.
Answer:
3.64 ÷ 7 = 364 hundredths ÷ 7
3.64 ÷ 7 = 52 hundredths
3.64 ÷ 7 = 0.52
Step-by-step explanation:
2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.
Answer:
replace x with number then multiply or divide
Step-by-step explanation:
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272
Answer:
1200-928 = 272 for the rest of the month Clarissa has to spend.
Step-by-step explanation:
So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.
Answer:
b on edg
Step-by-step explanation:
The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS
Answer:
your answer will be C. y = x-4
Step-by-step explanation:
hope it helps you...
is y+7=2x a direct variation
Answer:
No, y+7=2x does not represent direct variation
Step-by-step explanation:
No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.
y = 2x represents direct variation; y = 2x - 7 does not.
Which expression is equivalent to 5(n + 7)?
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
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[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]
[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]
[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
Solve for x. 5:1::6:x
Answer:
Step-by-step explanation:
5/1 = 6/x
5x = 6
x= 6/5
Answer:
x
=
15
Step-by-step explanation:
the point-slope for mhm of a line that has a slope of -2 and passes through point (5,-2) is shown below y+2=-2(x-5)
A. y=-2x+12
B. y=-2x+8
C. y=-2x-7
D. y=-2x-3
Answer:
y = -2x + 8 (B)
Step-by-step explanation:
Just expand y + 2 = -2(x-5)
y + 2 = -2x +10
y = -2x +8 (minus both sides by 2)
What is the value of |-8|
Answer: 8
Step-by-step explanation:
The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.
More examples: |9|=9
Have a nice day! :D
A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.
Answer:
B. the number of dimes will always be an even number
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
I need the answer pliss
Answer:
Im sorry never did this before
State if the triangle is acute, obtuse, or right
Answer:
right angle triangle
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
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Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y
Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.
Which of the following numbers is an outlier?
1
6
3
4
2
i have no idea what an outlier is maybe 1?
Answer:
2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!
Step-by-step explanation:
Boris runs 9 miles in 57 minutes.
How many miles does he run per minute?
(round to the nearest hundredth)
Answer:
0.16
Step-by-step explanation:
Speed= 9 miles/57 minuets=(9/57)
Now we want to figure out how many miles Boris runs per minuet
9/57= 0.15
Round to the nearest hundredth and it's 0.16.
Hope this helps!
what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?
Answer:
i cant estimate it but i think 4
Factor x2 − 8x + 9.
(x − 9)(x − 1)
(x + 9)(x + 1)
Prime
(x + 9)(x − 1)
Answer:
x²-8x+9
Step-by-step explanation:
Answer:
The answer is Prime
Step-by-step explanation:
Attached photo for proof
What would x equal( rounded to the nearest tenth)
