Mark solved the equation 23x=9 by using the Division Property of Equality to get x=6. Did Mark solve the equation correctly? Explain why or why not.
Answer:
wrong
Step-by-step explanation:
The division property states that when we have an equation in the form [tex]ax=b[/tex], then [tex]x=b/a[/tex](i.e. we "divide" by [tex]a[/tex] on both sides).
So, Mark was supposed to get [tex]x=9/23[/tex], which is not equal to [tex]6[/tex].
So, Mark solved it [tex]\boxed{wrong}[/tex]
No, Mark solve the equation correctly.
because, Mark was supposed to get x = 27/2 , which is not equal to x= 6.
The division property of equality applicable.
The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same. The formula for this property is if a = b, then a / c = b / c.
We have the following information available from the question is:
The equation is:
[tex]\frac{2}{3}x=9[/tex]
It solved by using the Division Property of Equality and get x = 6
If we solved for x: then,
x = 27/2
No, Mark solve the equation correctly.
So, Mark was supposed to get x = 27/2 , which is not equal to x= 6.
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Find the area of the shaded part in this exercise. (URGENT. FOR TODAY)
Answer: 80
Step-by-step explanation: Well the 60 is too slanted and 90 would be straight 70 would be less straight then it is 80
The Turbo Penguins football team has three colors of jerseys, Black, White,
and Yellow, and two colors of pants, Gray and Purple. Which list shows all
possible jersey and pant combinations team members can wear?
A. BW, BY, BG, BP, WY, WG, WP, YG, YP, GP
ООО
B. BG, BP, WG, YP
C. BG, BP, WG, WP, YG, YP
O
D. BG, GB, BP, PB, WG, GW, WP, PW, YG, GY, YP, PY
Answer:
c
Step-by-step explanation:
Each jersey can be paired with both pant colors once, so you should have 6 different combinations of pants and jerseys.
The point S(0, – 2) is translated 4 units left. What are the coordinates of the resulting point, S'?
Answer:
(-4, -2)
Step-by-step explanation:
When trying to find a translation left or right, add or subtract the X. Left would be subtraction so, subtract 4 units and this is what you get. (-4, -2)
A recipe calls for 2/3 a cup of butter. Georgia wants to cut the recipe in half. How much butter would she need?
Answer: 1/3
Step-by-step explanation: 2/3 - 1/3 = 1/3
PLS HELP ASAP!
Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha bought is 3/5 of the number of red balloons. The number of green balloons is also 2/3 of the number of yellow balloons. while being inflated, 1/20 of the red balloons, 1/12 of the green balloons, and 1/36 of the yellows balloons popped. The remaining balloons were used as decoration. What part of all the balloons Masha purchased to decorate the party?
Answer:
95 balloons
Step-by-step explanation:
red = 40
green- 40x(3/5) = 24
yellow- 24÷(2/3) =36
36× (1/36) = 1. 1 yellow balloon popped
24× (1×12) = 2. 2 green balloons popped
40×(1/20) =2. 2 red balloons popped
40+24+36= 100
2+2+1=5
100-5 = 95 balloons left for decorations
Find the value of x that makes p||q
Answer:
x = 30
Step-by-step explanation:
The angle on the opposite side as the identified angle (80°) is whatever is left over from 180° (which would be 100°). Therefore, the angle on the diagonally opposite side is identical.
Find the measure of each angle indicated
A) 21°
C) 23°
E) 25°
B) 80°
D) 20°
Answer:
D
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ADE is an exterior angle of the triangle , then
80° + ? = 100° ( subtract 80° from both sides )
? = 20° → D
Barty is going to flip a coin three times. What is the probability that he will see at least
two tails? Can you use a Probability Area Model for this situation?
Answer:
1/2
Step-by-step explanation:
For three coin tosses, the posible outcomes are:
[(HHH), (HHT), ( THH), (HTH), ( THT), (TTH), (HTT), (TTT)
The outcomes where there are at least 2 tails are:
(TTT), (TTH), (THT), (HTT)
So, the probability that the coin will land tails at least 2 times is 4/8 or 1/2
What is the area of a triangle that has a height of 60 and a base length of 7 feet
Answer:
210
Step-by-step explanation:
so the formula for the area of a triangle is base × height ÷ 2
so you do 60 × 7 = 420 then divide by 2 = 210
After their first two plays, a football team's position is –7 yards with respect to the original line of scrimmage. How many yards does the team need to gain on its next play to get back to the original line of scrimmage?
Answer:
I think its 17 yards if I read that correctly
Answer:
Step-by-step explanation:Its location is based on the spot where the ball is placed after the end of the most recent play and following the assessment of any penalty yards.
What are the x and y-intercepts and the vertex of x^2+2x-80? Sketch the graph and write the equation in graphing form.
Can anyone help me out?
Answer:
2 1/9
Step-by-step explanation:
Check out the image below!
Help me!! Multiply: 20w(w-18)
Answer:
2
0
(
−
1
8
)
20w(w-18)
20w(w−18)
Simplify
1
Distribute
2
0
(
−
1
8
)
{\color{#c92786}{20w(w-18)}}
20w(w−18)
2
0
2
−
3
6
0
{\color{#c92786}{20w^{2}-360w}}
20w2−360w
Solution
2
0
2
−
3
6
0
Step-by-step explanation:
Answer:
[tex]20w(w - 18) \\ 20w ^{2} - 360w \\ \\ \\ \\ \\ \\ \\ \\ \\ hope \: it \: helps \: \\ stay \: safe \: healthy \: and \: happy[/tex]
Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the same amound per hour for both jobs?
Answer:
yes
Step-by-step explanation:
A box of chocolates contains only white and dark chocolates in a 2 : 7 ratio. Fill in the gap in the following sentence: 2 in every chocolates are white.
Answer:The given information is 24 total chocolates. You have a 2 to 1 ratio, so 24 ÷ # of milk chocolate = 2 ÷ 1.
24⁄x = 2⁄1 solve for x, milk chocolate = 12.
milk chocolate (12) + plain chocolate (24)= 36 Total
Hope this helps!
Which of the following statements are true about a segment in a plane? Choose all that apply.
Every segment has infinitely many midpoints.
Every segment has two bisectors.
Every segment has one perpendicular bisector.
Every segment has infinitely many congruent segments.
Every segment has one line that is perpendicular to it.
Answer:
1, 2, and 5
Step-by-step explanation:
30+1+0.5+0.02 in standard form pls answer stat
Answer:
31.52
Step-by-step explanation:
Just add them...
It won't let me delete sorry thats what someone told me was standard form was
Solve for y:
y + 2 = 3x
Y: 1 Y is 1 becuase 1 +2 =3 so y=3
Use f(x) = 2x − 3 and g(x) = 4 − x2 to evaluate the expression.
(a) (f ∘ g)(x)
(b) (g ∘ f)(x)
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
A composition is a operation two functions in which the independent variable of the first function is substituted by the entire second function. In other words, we have the following expressions:
[tex](f\,\circ\,g) (x) = f(g(x))[/tex] (1)
[tex](g\,\circ \,f)(x) = g(f(x))[/tex] (2)
If we know that [tex]f(x) = 2\cdot x - 3[/tex] and [tex]g(x) = 4 - x^{2}[/tex], then we have the following compositions:
[tex](f\,\circ\, g) (x) = 2(4-x^{2})-3[/tex]
[tex](f\,\circ\,g)(x) = 5-2\cdot x^{2}[/tex]
[tex](g \circ f) (x) = 4 - (2\cdot x-3)^{2}[/tex]
[tex](g\,\circ f) (x) = -4\cdot x^{2} +12\cdot x -5[/tex]
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
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1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)
I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
What is Equation of line?
The equation of the line in slope-intercept form is expressed as:
y - y₁ = m(x - x₁)
where: m is the slope.
and (x₁, y₁) is the point on the line.
1. Given that;
Equation of the line as y = -x
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - (-8) )
y - 2 = x + 8
y = x + 8 + 2
y = x + 10
Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,
⇒ y = x + 10
2. Given that;
Equation of the line as y = -x
Point as (8, 2)
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - 8 )
y - 2 = x - 8
y = x - 8 + 2
y = x - 6
Hence, The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
Thus,
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
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Ruby is saving up to buy a new jacket. She already has $25 and can save an additional $7 per week using money from her after school job. How much total money would Ruby have after 10 weeks of saving? Also, write an expression that represents the amount of money Ruby would have saved in ww weeks.
Total savings after 10 weeks:
Total savings after ww weeks:
From the question;
1) Ruby will save $95 after ten weeks
2) The equation for ww weeks is; S = $25 + ($7 x ww)
What is an equation?
Total savings after 10 weeks:
Ruby saves $7 per week from her after school job, and she already has $25, so her total savings after 10 weeks can be calculated as follows:
Total savings = Initial savings + (Weekly savings x Number of weeks)
Total savings = $25 + ($7 x 10)
Total savings = $25 + $70
Total savings = $95
So, Ruby would have a total of $95 after 10 weeks of saving.
Expression for the amount of money Ruby would have saved in ww weeks:
Let "S" represent the total savings after ww weeks.
Expression: S = $25 + ($7 x ww)
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Clara got 11 books at the book fair. That's 5% of all the books at the Book-fair. How many books are at the Book-fair in total?
there are 220 total books at the book fair
Answer:
220
Step-by-step explanation:
1) 11 (books) - 5%
x (total of books) - 100%
2) Cross multiplicate (100% is one and 5% is 0.05)
3) 11 - 0.05x
4) Switch x - [0.05x - 11]
5) Divide - [x = 220]
In what ways the sum of x + x and the product of x × x different with each other ?
Answer:
x+x refers to x being added
For Eg:
5+5=10
x+x refers to x being multiplied
For Eg:
5*5 = 25
So you can see that the product is greater than sum
Not always though,
For Example take 2+2=4
and 2*2 = 4
Interestingly 2^2 is also equal to 4
Hope this helps!
What is the denominator of 24⁄32? *
a. 6⁄8
b. 8
c. 24
d. 32
Solve the following system of equations graphically on the set of axes below. y = x - 3 y = - 3/5x + 5
Answer:
Solution by graphing: (5, 2)
Step-by-step explanation:
y = x - 3
y = - 3/5x + 5
To solve systems of linear equations graphically, you'll have graph each equation using 2 pairs of points.
A great starting point is always using its intercepts:
y = x - 3
where the y-intercept is (0, -3).
To find its x-intercept, set y = 0 and solve for the value of x:
y = x - 3
0 = x - 3
Add 3 to both sides:
0 + 3 = x - 3 + 3
3 = x
Therefore, the x-intercept = (3, 0).
y = - 3/5x + 5
where the y-intercept is (0, 5).
Next, you could find a value of x that easily cancels out the fraction given by the slope (m) = -3/5. An input value of x = 5 cancels out the denominator of the slope:
y = - 3/5x + 5
y = - 3/5(5) + 5
y = -3 + 5
y = 2
Therefore, the other point that you could use to plot on the graph is (5, 2).
For y = x - 3, we'll use the line's intercepts: (0, -3) and (3, 0).
For y = - 3/5x + 5, we'll use (0, 5) and (5, 2).
Plotting these points on the graph will give us a solution of (5, 2), as it is the point where both lines intersect. Attached is a screenshot of the graphed lines.
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how do you solve the question solve for n 1/3 n = 6
Answer:
[tex]n = 18 \\ [/tex]
Step-by-step explanation:
[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]
click on file! ;D thank you! <3
Answer:
The answer is True for the first and false for the last also cool pfp Neeheehee ;)
what is the rule for multiplying and dividing integers
Answer:
When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Step-by-step explanation:
its easy as 1, 2, 3 lol
Answer:
When we multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When we divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Which linear inequality represents the solution set graphed?
A) y ≥ 4x + 5
B) y > 4x - 5
C) y ≥ 4x - 5
D) y > -4x - 5
Answer:
C
Step-by-step explanation:
first of all since the line is solid then we know that the answer is not D or B.
so it has to be either A or C.
now to graph it let's start with A.
you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.
now let's try with C.
you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.