Answer:
$12
Step-by-step explanation:
If x is the price that George pays for a student ticket, then:
19 = ⅓ x + 15
To solve for x, first subtract 15 from both sides:
19 - 15 = ⅓ x
4 = ⅓ x
Then multiply both sides by 3:
4 × 3 = x
12 = x
Answer:
1/3x + 15 = 19
Step-by-step explanation:
Well this is a simple equation where you write it out EXCACTLY like the question says, the 1/3 is the 1/3 the price of a student ticket and add the x to represent the unknown amount (student ticket), the 15 represents the plus $15.00 which equals 19
Hope this helps,
(btw dont >EVER TRUST< the -->"TRUSTED ANSWERS"<-- because all it means is that they are expirienced NOT that the answer is right)
The point-slope form of a lone has a slope of -w and passes through point (-5,2) is shown below.
y+2=-2(x-5)
What is the equation in slope intercept form?
Answer:
y = -2x + 8Step-by-step explanation:
The point-slope form of an equationo f a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
We have
[tex]y+2=-2(x-5)\\\\y-(-2)=-2(x-5)[/tex]
Therefore we have
the slope: m = -2
the point: (5, -2) not (-5, 2)!!!
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
Convert:
[tex]y+2=-2(x-5)[/tex] use the distributive property a(b + c) = ab + ac
[tex]y+2=-2x+10[/tex] subtract 2 from both sides
[tex]y=-2x+8[/tex]
in a solution the substance dissolved in the liquid is called the
The sum of two polynomials is 10a2b2 – 8a2b + 6ab2 – 4ab + 2. If one addend is –5a2b2 + 12a2b – 5, what is the other addend?
15a2b2 – 20a2b + 6ab2 – 4ab + 7
5a2b2 – 20a2b2 + 7
5a2b2 + 4a2b2 + 6ab – 4ab – 3
–15a2b2 + 20a2b2 – 6ab + 4ab – 7
Answer:
[tex]15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]
Step-by-step explanation:
The sum of two polynomials is
[tex]10a^2b^2-8a^2b+6ab^2-4ab+2[/tex]
First addend is
[tex]-5a^2b^2+12a^2b-5[/tex]
Second addend x.
Hence,
[tex]x+(-5a^2b^2+12a^2b-5)=10a^2b^2-8a^2b+6ab^2-4ab+2\\ \\x=10a^2b^2-8a^2b+6ab^2-4ab+2-(-5a^2b^2+12a^2b-5)=\\ \\=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5=\\ \\=(10a^2b^2+5a^2b^2)+(-8a^2b-12a^2b)+6ab^2-4ab+(2+5)=\\ \\=15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]
Answer: The correct option is (A) [tex]15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]
Step-by-step explanation: Given that the sum of two polynomials is [tex](10a^2b^2-8a^2b+6ab^2-4ab+2)[/tex] and one addend is [tex](-5a^2b^2+12a^2b-5).[/tex]
We are to find the other addend.
Let P(x) be the other addend.
Then, according to the given information, we must have
[tex]-5a^2b^2+12a^2b-5+P(x)=10a^2b^2-8a^2b+6ab^2-4ab+2\\\\\Rightarrow P(x)=(10a^2b^2-8a^2b+6ab^2-4ab+2)-(-5a^2b^2+12a^2b-5)\\\\\Rightarrow P(x)=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5\\\\\Rightarrow P(x)=15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]
Thus, the other addend is [tex]15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]
Option (A) is CORRECT.
which expression is equivalent to the radical expression shown below when it is simplified?
[tex] \sqrt{ \frac{3}{64} } [/tex]
Answer:
[tex]\sqrt{\frac{3}{64} }[/tex] in simplified form is [tex]\frac{\sqrt{3}}{8}[/tex]
Step-by-step explanation:
We need to solve the expression
[tex]\sqrt{\frac{3}{64} }[/tex]
We know that [tex]\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}[/tex]
and 64 = 8*8
Solving we get
[tex]=\frac{\sqrt{3}}{\sqrt{64}}\\=\frac{\sqrt{3}}{\sqrt{8*8}}\\=\frac{\sqrt{3}}{\sqrt{8^2}}\\=\frac{\sqrt{3}}{8}[/tex]
So [tex]\sqrt{\frac{3}{64} }[/tex] in simplified form is [tex]\frac{\sqrt{3}}{8}[/tex]
To simplify the given radical expression √3/64, first express the fraction as a power of a fraction. Apply the power rule of radicals and simplify the expression.
Explanation:To simplify the given radical expression √3/64, we first express the fraction under the radical sign as a power of a fraction. 3/64 can be written as 3/(26). Next, we can apply the power rule of radicals, which states that √(a/b) = √a/√b. Applying this rule, we can rewrite the radical expression as √3/(26). Finally, we can simplify the expression by evaluating the square root of 3 and 26. The simplified expression is √3/23 or 3/(23).
Learn more about Simplifying Radical Expressions here:https://brainly.com/question/11624221
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Complete the following sentence: Two events that are mutually exclusive... ...cannot be calculated ...sometimes occur at the same time ...always occur at the same time ...never occur at the same time
Answer:
never occur at the same time
Step-by-step explanation:
In Statistics, two events that are mutually exclusive never occur at the same time. For instance, in tossing a coin we can either land heads or tails but not both. The two events are said to be mutually exclusive.
If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).
Answer:
-2x^2-8x+12 if you meant the second function to be g(x)=5x^2+6x-8
If you didn't mean that please let me know in the comments so I can change my answer
Step-by-step explanation:
f-g=
3x^2-2x+4
-(5x^2+6x-8)
--------------------
-2x^2-8x+12
Simplify the expression. Write the answer using scientific notation. (9x10^2)(2x10^10)
Answer:
1.8 x [tex]10^{13}[/tex]
Step-by-step explanation:
( 9 x 10²) (2 x [tex]10^{10}[/tex] )
= (9)(2) x [tex]10^{10+2}[/tex]
=18 x [tex]10^{12}[/tex]
= 1.8 x [tex]10^{13}[/tex]
Answer:
(9x10^2)(2x10^10)
= 1.9 x 10^13 (In scientific notation)
Step-by-step explanation:
Expression to be simplified is given as:
(9x10^2)(2x10^10)
= 9x10^2x2x10^10
= 9x2x10^2x10^10
The base here in the expression is same so the power will add up:
= 18 x 10^(2+10)
= 1.8 x 10^12
Using Scientific notation on the expression, we know that the decimal point must after the first digit so that the number let us say x is such that x > 0 and x < 10. To move decimal one place back, we will multiply it with 10^1:
18 x 10^12
= 1.8 x 10 x 10^12
= 1.8 x 10^(1+12)
= 1.8 x 10^13
which of these characteristics do a rhombus and a rectangle always have in common?
A. all angles are right angles
B. opposite sides with equal length
C. all sides with equal lenght
The characteristics a rhombus and a rectangle always have in common is opposite sides with equal length.
The right option is B. opposite sides with equal length
From the question,
We are to determine which of the given characteristics do a rhombus and a rectangle always have in common.
To determine which of the characteristics, we will list some of the characteristics of the two shapes
Characteristics of a Rhombus
All sides are of equal length Opposite sides are parallelOpposite angles are congruent Diagonals intersect perpendicularly Consecutive angles are supplementaryCharacteristics of a Rectangle
Opposite sides are congruent and parallel Diagonals bisect each other Each of the interior angles is a right angleDiagonals are congruentNow, from above,
We have that all the sides of rhombus are equal in length, which makes the opposite sides to be equal as well.
Also, among the characteristics of a rectangle is that, opposite sides are equal in length
Hence, the characteristics a rhombus and a rectangle always have in common is opposite sides with equal length. The right option is B. opposite sides with equal length
Learn more here: https://brainly.com/question/16979502
The option B is correct. A rhombus and a rectangle always have opposite sides with equal length in common. This is a defining property of all parallelograms.
In geometry, both a rhombus and a rectangle are types of parallelograms. To determine what characteristics they have in common, we must identify their properties. A rhombus has all sides of equal length, but its angles are not necessarily right angles. In contrast, a rectangle has all angles as right angles, but its sides are not necessarily of equal length. Therefore, the characteristic that both a rhombus and a rectangle always have in common is:
Opposite sides with equal length (Option B)This means that in both a rhombus and a rectangle, the opposite sides are parallel and equal in length, which is a defining property of all parallelograms.
A sphere has a volume of 36 π square inches. What is the exact radius?
I don’t really understand can y’all pls help me
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( 5^{\frac{3}{2}} \right)^{-\frac{2}{3}}\implies 5^{-\frac{3}{2}\cdot \frac{2}{3}}\implies 5^{-1}\implies \cfrac{1}{5}\implies 0.2 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (256^{0.5})^{1.25}\implies [(2^8)^{0.5}]^{1.25}\implies [2^{8\cdot 0.5}]^{1.25}\implies [2^4]^{1.25}\implies 2^{4\cdot 1.25} \\\\\\ 2^5\implies 32 \\\\[-0.35em] ~\dotfill\\\\ ( 81^{-\frac{1}{6}} )^{\frac{3}{2}}\implies [(3^4)^{-\frac{1}{6}} ]^{\frac{3}{2}}\implies 3^{4\cdot -\frac{1}{6}\cdot \frac{3}{2}}\implies 3^{-\frac{12}{12}}\implies 3^{-1} \\\\\\ \cfrac{1}{3}\implies 0.33...[/tex]
Can someone help me?
s = number of students books
we know there are many student's books, so since there are "s", and each one weights 2.3 kgs, then all together must weight 2.3s, now the teacher's edition is just 1 alone so that's just 4.3 kgs.
[tex]\bf \stackrel{\stackrel{total}{weight}}{30}~~=~~\stackrel{students'}{2.3s}+\stackrel{teacher's}{4.3}+\stackrel{box's}{0.4}\implies 30=2.3s+4.7 \\\\\\ 30-4.7=2.3s\implies 25.3=2.3\implies \cfrac{25.3}{2.3}=s\implies 11=s[/tex]
What is the number of ways to arrange 8 objects from a set of 12 different
objects?
A. 19,958,400
B. 495
C. 24,861,300
D. 2,026
Answer:
A. 19,958,400
Step-by-step explanation:
Which expression gives you the distance between the points (5,1)and(9,-6)
Answer:
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
Step-by-step explanation:
Here we are supposed to find the distance between the two coordinates in a plane. The coordinates given to us are
(5,1) and (9,-6)
We can find the distance using distance formula. The distance formula is given as
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
Where
[tex](x_{2},y_{2}) ; (x_{1},y_{1})[/tex]
are the two coordinates
Hence
[tex]x_{2} = 9 ; y_{2}= -6\\x_{1}=5; y_{1}=1[/tex]
Substituting these values in the distance formula we get
[tex]D=\sqrt{(9-5)^{2} +(-6-1)^{2}}\\D=\sqrt{(4)^{2} +(-7)^{2}}\\D=\sqrt{16+49}\\D=\sqrt{65}\\[/tex]
Hence the Distance is [tex]D=\sqrt{65}\\[/tex]
Big Bob’s Pizza is having a special on pizza and is offering two different choices:
Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95.
Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75.
Which choice will give you more pizza for your money? Justify your answer using numbers and words.
Answer:
The Choice N#1 will give more pizza for your money
Step-by-step explanation:
step 1
Find the area of one slice Choice #1
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=22/2=11\ in[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
The area of one slice is equal to
[tex]A=(1/8)\pi r^{2}[/tex]
substitute
[tex]A=(1/8)(3.14)(11)^{2}[/tex]
[tex]A=47.4925\ in^{2}[/tex]
Divide the cost by the area
[tex]4.95/47.4925=0.10\frac{\$}{in^{2}}[/tex]
step 2
Find the area of the entire personal pizza Choice # 2
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(3)^{2}[/tex]
[tex]A=28.26\ in^{2}[/tex]
Divide the cost by the area
[tex]3.75/28.26=0.13\frac{\$}{in^{2}}[/tex]
therefore
The Choice N#1 will give more pizza for your money
Help me with this question thanks:)
Answer:
see below
Step-by-step explanation:
3 > w/2
Multiply each side by 2
2*3 > w/2 *2
6 > w
w < 6
There is an open circle at 6 since there is no equal sign
The line goes to the left since w is less then 6
Please someone help me
Answer:
Basically it means to do Keep, Change, Flip. that's a better way to remember "reciprocal". keep the 5, change the ÷ to a × and flip the fraction 2/9 to a 9/2.
After doing that, you'll get the the first answer. 5/1 × 9/2 = 45/2
Answer: First option.
Step-by-step explanation:
When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.
To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.
Then, the reciprocal of the fraction [tex]\frac{2}{9}[/tex] is:
[tex]\frac{9}{2}[/tex]
Therefore, you can find the quotient of [tex]3[/tex]÷[tex]\frac{2}{9}[/tex] by multiplying [tex]\frac{5}{1}[/tex] by [tex]\frac{9}{2}[/tex]:
[tex]5[/tex]÷[tex]\frac{2}{9}=\frac{5}{1}*\frac{9}{2}=\frac{45}{2}[/tex]
If 3p-q=6 and 2p+3q=4 find q
Answer:
It is -24/11
Step-by-step explanation:
This is a system of equations. Using substitution should give the answer.
Taking the first equation, q = 3p - 6. Plug this into the second equation.
2p + 3(3p - 6) = 4. Distributing gives 2p+ 9p - 18 = 4. Subtract 4 from both sides to give: 11p - 14 = 0. p = 14/11
Plug this back into the first equation.
42/11 - q = 6
q = 42/11 - 6, which equals -24/11
Hope this helps!
Answer:
Correct Answer: Option A
Explanation
3p - q = 6 ........ 1
2p + 3q = 4 ....... 2
Multiply eqn 1 by 3
9p - 3q = 18 ........ 3
2p - 3q = 4 ......... 2
Add eqn3 and eqn2
11p = 22 => p = 22/11 = 2
Substitute for p =2 in eqn1
3p - q = 6
3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6
q = 0
Step-by-step explanation:
Determine the value of impulse from this graph of momentum vs time
Answer:
try 12 Newton seconds
Step-by-step explanation:
I think it's going to be 12 because if you find the slope of the first line you get 1 Newton and the slope of the second line is -1 Newton's. so that means there is a change of -2 newtons. so if you multiply -2 Newton's by the 6 seconds you -12 Newton seconds. let me know if this is correct as it's been a while since I've done this type of stuff.
Answer:
The value of impulse is 9 N-s.
Step-by-step explanation:
The momentum vs time graph shows the impulse
Impulse :
Impulse is the product of force and time.
In mathematical terms,
[tex]I= F\Delta t[/tex]
Where, F = force
t = time
According to graph,
Impulse[tex]I = F\cdot t[/tex]=total area
[tex]I=\dfrac{1}{2}\times3\times6[/tex]
[tex]I=9\ N-s[/tex]
Hence, The value of impulse is 9 N-s.
Find the measure indicated angle to the nearest degree.
Find the missing side. Round to the nearest tenth
Answer:
1. 34.4°
2. 18.8°
3. 37.7°
4. 36.6°
5. 40.6°
6. 7.5
7. 12.3
8. 14.7
9. 22.0
10. 6.3
Step-by-step explanation:
1. The missing angle is found by the use of the sine.
Sine ∅= opposite/ hypotenuse
=13/23
sin⁻¹(13/23)=34.4°
2. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/50
Tan⁻¹(17/50)=18.8°
3. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/22
Tan⁻¹ (17/22) = 37.7°
4. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=21/28
Tan⁻¹ (21/28)=36.9°
5. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=24/28
Tan⁻¹ (24/28) = 40.6°
6. Missing side is calculated by considering the tan of 58°
Tan 58°=12/x
x=12/Tan 58°
=7.5
7. Missing side is calculated by considering the sine of 43°
Sin 43°= opposite / hypotenuse
Sin 43 =x/18
x= 18 Sin 43
=12.3
8. Missing side is calculated by considering the sine of 62°
Sin 62° = 13/x
x=13/Sin 62°
=14.7
9. Missing side is calculated by considering the tan of 36°
Tan 36°= 16/x
x=16/Tan 36°
=22.0
10. Missing side is calculated by considering the sine of 23°
Sin 23° = x/16
x=16 Sin 23
=6.3
write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)
Answer:
Step-by-step explanation:
radius=4 as it is tangent to x-axis.
y co-ordinate of center is 4 so radius=4
eq. of circle is (x-2)²+(y-4)²=4²
or x²-4x+4+y²-8y+16=16
or x²+y²-4x-8y+4=0
Final answer:
The standard equation of a circle tangent to the x-axis with center (2,4) is (x - 2)² + (y - 4)² = 16.
Explanation:
To write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4), we must recognize that the distance from the center of the circle to the x-axis is equal to the radius of the circle. Since the center is at (2,4), the distance to the x-axis (which is y=0) is 4 units; thus, the radius of the circle is 4.
The standard form of the equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r². Substituting the given center (2,4) and the radius 4 into this formula, we get:
(x - 2)² + (y - 4)² = 4²
Simplifying the radius squared term, we obtain the final equation:
(x - 2)² + (y - 4)² = 16
Which of the following expressions simplifies to a negative number? Select all that apply.
(-1)(-1)(-1)
(-1)(-1)
(-1)(-1)(-1)(-1)
(-1)(-1)(-1)(-1)(-1)
NEXT QUESTION
©
ASK FOR HELP
Answer:
(-1)(-1)(-1)
(-1)(-1)(-1)(-1)(-1)
These, since they are all negatives and there are an odd number of terms.
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
The measure of ∠d is 150°. What is the value of m∠b + m∠c +m∠e
A30°
B90°
C120°
D210°
Answer:
C. 120°
Step-by-step explanation:
m∠d = 150°
m∠ a = 90°
The sum of angles at a point add up to 360°
m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°
Answer:
c 120
Step-by-step explanation:
m∠d = 150°
m∠ a = 90°
The sum of angles at a point add up to 360°
m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°
Find the slope of the line through (–3, 2) and (6, 2)
Step-by-step Answer:
Given points: P1(-3,2), P2(6,2)
Slope given two points = (y2-y1)/(x2-x1)
= (2-2)/(6-(-3))
=0/9
= 0
Answer:
Slope = 0
Step-by-step explanation:
We are given the following points and we are to find the slope of the line which passes through these points:
[tex] ( – 3 , 2 ) [/tex] and [tex] ( 6 , 2 ) [/tex]
We know that the formula of the slope is given by:
Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]
Slope = [tex] \frac { 2 - 2 } { 6 - (- 3 )} = \frac { 0 } { 9 } [/tex] = 0
at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket cost?
Each ticket cost $3
8+5x=23
5x=15
x=3
Answer: 26 dollars
Step-by-step explanation:
8-5=3
23+3=26
whatis 11 -2+8 divied by 6
Answer:
31 over 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Without parentheses, you have 11 - 2 (which is 9) plus 8 (totalling 17).
Then you have 17/6.
That's "divided."
Excess cash on hand may be a problem for a problem for a company because it may miss an opportunity to___.
A. Buy more inventory
B. Invest
C. Sell equipment
D. Lend money
Answer:
Excess cash on hand may be a problem for a problem for a company because it may miss an opportunity to: B) Invest
how to us the foil method for x2 + 16x + 48
F irst
O uters
I nners
L ast
We first need to expand the equation By finding what adds up to 16 and multiples to 48
X^2 + 16x + 48 = x^2 + 12x + 4x + 48.
According to the foil method
(a + b)(c + d) = ac + ad + bc + bd
ac = x^2
ad = 12x
bc = 4x
bd = 48.
Which equation represents the line that passes through ( -8, 11) and ( 4, 7/2)?
A y= -5/8x+ 6
B y= -5/8x+ 16
C y= -15/2x- 49
D y= -15/2x+ 71
Answer:
A
Step-by-step explanation:
Recall the general equation for a straight line is
y = mx + b
where m is the gradient and b is the y-intercept
given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:
m = [tex]\frac{y1-y2}{x1-x2}[/tex]
in this case, x1 = -8, y1 = 11, x2 = 4, y2=7/2
applying these values to the formula for m will give
m = -(5/8)
We can see immediately that the only 2 possible answers are A or B.
If we substitute this back into the general equation, we get:
y = -(5/8)x + b
In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (-8,11)
11 = -(5/8) (-8) + b
11 = -(5/8) (-8) + b
11 = 5 + b
b = 6
hence A is the answer.
Verizon charges $18.75 per month for phone service and $0.08 per minute. Last month my bill was 33.63. How many minutes did I use?
Answer:
186 minutes.
Step-by-step explanation:
33.63 to start.
take away the service fee of 18.75
14.88
divide 14.88 by 0.08
186
Answer:
Step-by-step explanation:
$33.63-$18.75= $14.88
$14.88/.08=186
You used 186 minutes last month,
What is the area of the triangle
Answer:
The first choice, 8.64 sq. ft.
Step-by-step explanation:
Formula for area of triangle:
(Length x Height) / 2
4.8 * 3.6 = 17.28
17.28 / 2 = 8.64
A = 8.64 sq. ft. so, the first choice
Answer:
8.42ft square
Step-by-step explanation:
Base × height/2
base=4.8ft
height =3.6ft
4.8 × 3.6= 17.28
17.28/2=8.64ft