Answer:
Option D
Step-by-step explanation:
a/3 = 8/6
a × 6 = 8 × 3
6a = 24
a = 24/6
a = 4
Hence,
Option A is correct
Answer:
4
Step-by-step explanation:
cross multiply
a x 6=3 × 8
or,a=24/6
There fore a=4
David has $90 to spend on sneakers. The sales tax in his state is 6%.
Vincent has $95 to spend on sneakers. The sales tax in his state is 9%.
Both boys are interested in a pair of sneakers that costs $86. Who will be able to buy the sneakers?
Answer:
Vincent will be able to buy the sneakers, while David will not be able too.
Step-by-step explanation:
I believe this is true because for David,
6% of 86$ is 5.16$
so 86 + sales tax (which is 5.16) = 91.16$
David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.
While for Vincent,
9% of 86$ is 7.74$
so 86 + sales tax (which in this case is 7.74) = 93.74
Vincent has 95$ to spend so he can afford the shoes.
I am not exactly sure if all calculations are correct, but I hope this helps! :)
Answer:
Vincent
I took the test on edg
What is [-2,-4] and [1,0]
Answer:
m=4/3
Step-by-step explanation:
Amy is solving the equation using the steps shown.
Which could be the correct next step in solving the equation?
Subtract 2 from both sides of the equation to yield (x 2 – 16) = 0.
Subtract 2 from both sides of the equation to yield (, x , 2, – 16) = 0.
Multiply (x 2 – 16)(x + 2) on the left side of the equation to yield x 3 + 2x 2 – 16x – 32 = 0.
Multiply (, x , 2, – 16)(, x, + 2) on the left side of the equation to yield , x, , 3, + 2, x, , 2, – 16, x, – 32 = 0.
Factor (x 2 – 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
Factor (, x , 2, – 16) on the left side of the equation to yield (, x, + 4)(, x, – 4)(, x, + 2) = 0.
Add 16 to both sides of the equation to yield x 2(x + 2) = 0.
Add 16 to both sides of the equation to yield , x , 2, (, x, + 2) = 0.
The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:
[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]
The possible next steps are:
1. Expand the equation as follows
[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]
2. Express x^2 -16 as a difference of two squares as follows
[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
Read more about equations at:
https://brainly.com/question/7674413
Find the center and radius of the circle x^2+y^2-10x-12y+45=0.
Answer:
The center is (5, -6) with a radius of r
Step-by-step explanation:
First put the equation in Standard Form for a circle:
(x + a)² + (y + b)² = r²
Now, Group the term
x² + y² - 10x - 12y + 45 = 0
x² - 10x + y² - 12y = - 45
Then, The x and y terms must be perfect squares
x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36
add constant both sides we get,
x² - 10x + 25 + y² - 12y + 36 = 16
Now, Simplify
(x - 5)² + (y + 6)² = 16
√(x - 5)² + (y + 6)² = √16
x - 5 + y + 6 = 4
Here, (a,b) = (5, -6) and r² = 16, with r = 4
Thus, The center is (5, -6) with a radius of r
-TheUnknownScientist 72
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model? x2 â€"" 6x 9 x2 â€"" 2x 4 x2 5x 10 x2 4x 16.
A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.
Given :
A perfect square trinomial can be represented by a square model with equivalent length and width.
The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:
Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.
Step 2 - Try to factorize the above equation.
[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]
[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]
[tex]x^2-6x+9 = (x-3)^2[/tex]
Step 3 - The equation in option a) represents the perfect square trinomial.
From, the above steps, it can be concluded that the correct option is a).
For more information, refer to the link given below:
https://brainly.com/question/2263981
Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.
Answer: He needs to splash the threes
Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer
2. A high school wants to double the size of its parking lot by expanding the existing lot as
shown below. By what distance should the lot be expanded?
x ft
kin
75ft
old parking lot
165ft
school
300 Ft
75 ft xft
The parking lot is located along the front and one side of the school
building.
The distance x with which the lot should be expanded is 60 feet.Reasons:
The given dimensions in the compound are;
Length of the school and the old parking lot = 300 + 75
Width of the school and the old parking lot = 165 + 75
Length of the school, the old and new parking lot = 300 + 75 + x
Width of the school and the old and new parking lot = 165 + 75 + x
Area of the new parking lot the school wants = Double the old parking lot
In terms of areas, we have;
New compound - School = 2 × (old compound - school)
Which gives;
(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)
2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500
Simplifying gives;
81,000 = x² + 615·x + 40,500
x² + 615·x + 40,500 - 81,000 = 0
x² + 615·x - 40,500 = 0
Factorizing with a graphing calculator gives;
(x - 60)·(x + 675) = 0
Therefore;
x = 60 or x = -675
Given that x is a natural number, we have, the correct value is; x = 60;
The distance with which the lot should be expanded, x = 60 feet.
Learn more about writing equations here:
https://brainly.com/question/20475360
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Hi please help !!! With steps as well please!
Answer:
a) m = 60°, n = 30°
b) m = 20°, n = 45°
Step-by-step explanation:
a)The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.
Angle n is the complement of angle m, so is 90°-60° = 30°
m = 60°, n = 30°
__
b)The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)
The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.
m = 65° -45° = 20°
m = 20°, n = 45°
_____
Additional comment
The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...
a + 2b = 180°
2b = 180° -a
b = (180° -a)/2 . . . . . . the relation used above
A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)
Answer:
B
Step-by-step explanation:
For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get
1.09x + 1.59y + 1.59z
Convert -439° to radians
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
What is the height of a triangle with an area of 67. 5 square meters and a base of 9 meters?.
The height of the triangle is 15 meters.
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Types of triangles
Right triangle Equilateral triangle Isosceles triangle Scalene triangleArea of a triangle = 1/2 (base x height)
height = (2 x area ) / base
(2 x 67.5) / 9
= 135 / 9
= 15 meters
Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890
Plz help brainiest to the correct answer
1. -2 + 15 = 13
If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.
2. The temperature rose 15 degrees
-6 + 9 = 15
Answer:
1 a) 13 degrees Celsius
b) By fifteen degrees
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14
HOPE I MADE YOU SMILE!!
Answer:
ok points
Step-by-step explanation:
Answer:
Thank You so much.....You made me smile lol :DWrite an Equation for each of the lines on the graph.
NOTE: for C there is an x after -4.1176
Step-by-step explanation:
Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?
Please show work
Answer:
70
Step-by-step explanation:
the least common multiple of 10 and 14 will be the answer
the prime factorization of 10 is 2 and 5
the prime factorization of 14 is 2 and 7
so you can multiply the number in common, 2, by the ones not common, 5 and 7
2 x 5 x 7 = 70
could someone explain this to me?
================================================
Explanation:
Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.
x = 2i
x^2 = (2i)^2
x^2 = 4i^2
x^2 = -4
x^2+4 = 0
You should find that the root x = -2i leads to x^2+4 = 0 as well.
So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.
We'll multiply those two factors mentioned:
(x-5)(x^2+4)
w(x^2+4) ..... let w = x-5
wx^2 + 4w
x^2(w) + 4(w)
x^2(x-5) + 4(x-5) .... plug in w = x-5
x^3 - 5x^2 + 4x - 20
----------
The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.
So we go from this
x^3 - 5x^2 + 4x - 20
to this
3x^3 - 15x^2 + 12x - 60
after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.
A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.
PLS HELP URGENTT
Answer:
Please give Brainliest!
Step-by-step explanation:
The three sides are 36ft, 72ft, and 59 ft.
Which value of y makes the equation y+4.2=21 true?
Answer:
16.8
Step-by-step explanation:
21-4.2= 16.8
Help me pleas asap and pleas show your work
Answer:
y = 7 - 4x
Step-by-step explanation:
8x + 2y = 14
2y = 14 - 8x (since we're solving for "y", we want "y" by itself)
y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the equation by 2)
y = 7 - 4x (divide by 2)
Hope this helps :)
what is x?
3x-5=10
please help and thank you
Answer:
5
Step-by-step explanation:
3x - 5 = 10
3x = 15
x = 5
I hope it helps bye, good luck
Answer:
x=5
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
3x = 10 + 5
Add 10 and 5
3x = 15
Divide each term in 3x = 15 by 3 and simplify.
3x/3 = 15/3
Simplify the left side
Cancel the common factor of 3
x = 15/3
Divide 15 by 3
x = 5
3.52 in expanded form
Step-by-step explanation:
3.52 =
3
+ 0.5
+ 0.02
hopes this helps you
50 squared is rational
True
False
Answer:
false
Step-by-step explanation:
Answer:
A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.
Step-by-step explanation:
Can someone help me with this, and if you can Explain it.
Answer:
20
Step-by-step explanation:
Since C is the midpoint of BD, BC must be equal to CD. Therefore, we can set the equation:
x+4=3x-10
Solve:
14=2x
x=7
Then we find AC, which is:
2x-5+x+4 = 3x-1
We can plug x in to get:
3*(7)-1=20
Can you Explain your thinking.
Answer:
Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.
What is 22% of 60?
A) 1,320
B) 13.2
C) 27.3
D) 38
Answer:
B, 13.2
Step-by-step explanation:
Multiply 60 by 0.22 for your answer and you get 13.2
Will give brainliest i rlly need help
Answer:
1/6
Step-by-step explanation:
-3/4 - (-1/2) = - 1/4
-2/3 - 5/6 = - 3/2
-1/4 ÷ -3/2
8a+3.28=46.28
solve for a please ik I already asked but I need to pass this test thank you :)
Answer:
A=5.375
Step-by-step explanation:
46.28-3.28= 43
43÷8= 5.375
I hope this helps
good night everyone : )
Answer:
Good night sagey!!!! sleep well
if powerades are $2.50 and nachos are $3 there was 38 items sold and the total price was $102.50 how many powerades and nachos were sold
Answer:
15 Nachos and 23 Powerades were sold.
Brainliest is appreciated. (The crown)