9514 1404 393
Answer:
120
Step-by-step explanation:
We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...
10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120
120 different 3-topping pizzas can be made if 10 toppings are available.
_____
Additional comment
If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.
How many sit-ups did Matthew complete?
Select the equation which represents the equation solved for y.
−20x+5y=35
y=4x+7
y=−4x+7
y=−4x−7
y=4x−7
16 is 4% of what number?
Answer:
400!
Step-by-step explanation:
16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!
16 is 4 percent of 400 as per the concept of percentages.
16 is 4% of 400.
To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:
16/x = 4/100
To solve this proportion, we can cross-multiply:
16 (100) = 4x
1600 = 4x
To isolate x, we divide both sides of the equation by 4:
1600/4 = x
x = 400
Therefore, 16 is 4% of 400.
To verify this, we can calculate 4% of 400:
4/100 x 400 = 0.04 x 400 = 16
As we can see, 16 is indeed 4% of 400.
To learn more about the percentage;
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Given: y || 2
Prove: m5+ m2+ m6 = 180°
L
A
M
1 1
23
y
4
5
6 7 z
С
B
The relationships between angles formed by two parallel lines having a common a transversal include, alternate interior, vertically opposite, corresponding, alternate exterior, same side, interior and exterior
The correct option for the missing reason in step 3. is as follows;
Alternate interior angles are congruent
The reason the above option is correct is as follows:
The given parameters are;
Line y is parallel to line z
The figure ABC forms a triangle
The two column proof is presented as follows:
Statement Reason
1. ABC is a triangle 1. Given
2. lines y and z are parallel 2. Given
3. ∠1 is congruent to ∠5; ∠3 ≅ ∠6 3. Statement reason required
∠3 is congruent to ∠6
4. m∠1 = m∠5; m∠3 = m∠6 4. By definition of congruency
5. m∠1 + m∠2 + m∠3 = m∠LAM 5. By angle addition Postulate
6. m∠1 + m∠2 + m∠3 = 180° 6. Angles on a straight line
7. m∠5 + m∠2 + m∠6 = 180° 7. Substitution (property)
Required:
The reason for the statement ∠1 ≅ ∠5; ∠3 ≅ ∠6
Solution:
From the attached diagram for the question, we have that angle ∠1 and angle ∠5 on line AC and ∠3 and ∠6 on line AB are alternate interior on two parallel lines, and they are therefore, congruent.
Therefore
∠1 ≅ ∠5, and ∠3 ≅ ∠6 by alternate interior angles theorem which states that alternate interior angles, which are the pair angles formed in the inside face of two parallel lines crossed by a common and the common transversal but on either of the transversal, are congruent
Therefore, the missing reason in Step 3 is; Alternate interior angles are congruent
In a certain chemical the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 345 of copper how many grams of zinc does it contain ?
Answer:
92.
Step-by-step explanation:
By proportion the mass of zinc = (345/ 15) * 4
= 92.
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answer:
Second is the correct answer but i think all are correct
In year one the population of rabbits is 100. In year three the population is 300. Assuming the population is to go unchecked and is linear what will be the population in year 10? Construct a formula for this.
Answer:
the rabbits ran away
Step-by-step explanation:
now its 300 rabbits
Could I get help on this?
Answer:
returning the collateral
-4x^2+64x+256=0 completing the square
[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]
A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
Can someone please help me with #14 and #15?
14.Given y=2(x - 10)+3, write an equation in point slope and slope intercept form that is:
a) Parallel and goes through (-4,1).
b) Perpendicular and goes through (-4,1).
15.Given 5x+2y=7
a.Find an equation parallel to the equation and through (0,10).
b.Find an equation perpendicular to the equation and through (0,10).
This picture is an example of what the answers should look like.
Problem 14, Part (a)
The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.
Let's find the point slope form of the parallel line through (-4,1)
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]
The point slope form is: y-1 = 2(x+4)Now solve for y to get the slope intercept form.
[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]
The slope intercept form is: y = 2x+9============================================================
Problem 14, Part (b)
The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.
Using the same point (-4,1), we find that the point slope form is...
[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]
The point slope form is: y-1 = (-1/2)*(x+4)Now solve for y
[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]
The slope intercept form is: y = (-1/2)x - 1============================================================
Problem 15, Part (a)
Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.
We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D
5x+2y = D
D = 5x+2y
D = 5(0)+2(10)
D = 20
The equation 5x+2y = D updates to 5x+2y = 20
Answer: 5x+2y = 20============================================================
Problem 15, Part (b)
If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.
The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.
2x-5y = D
D = 2x-5y
D = 2(0)-5(10)
D = -50
Answer: 2x-5y = -50What's the kinetic energy of an object that has a mass of 12 kilograms and moves with a velocity of 10 m/s?
Answer:
Step-by-step explanation:
Assuming it has no spin
KE = ½mv²
KE = ½(12)10²
KE = 600 J
A Penguin walks 6 feet in 15 seconds. At this speed How far does the penguin walk in 6 seconds?
Answer:
The penguin will walk 75.15 feet in 45 sec
Step-by-step explanation:
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo? Simplify your ratio.
Answer:
1:4
Step-by-step explanation:
A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.
4x + y = 16
y = 0.5x -2
Answer:
x = 4, y = 0
Step-by-step explanation:
Solve for m.
35m>−30
a. m>−50
b. m<−50
c. m>−18
d. m<−18
Answer:
A.
m>-50
i asked for all the quizzes answers on my questions and i will tell you!
Step-by-step explanation:
k12
Answer:
m<-50
Step-by-step explanation:
how is 7 square root 2 is equal to 49?
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3
Answer:
24 R1
Step-by-step explanation:
Classify: −4m+21(m−1)≤15m+2(m−1).
Answer:
[tex]\boxed{\sf All\: real\: numbers}[/tex]
Step-by-step explanation:
[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]
Apply Distribution law:
[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]
Combine like terms:
** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]
[tex]\sf 2(m-1)[/tex]
[tex]\hookrightarrow 2m-2[/tex]
-----------------------------------------
[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]
Combine like terms:
** [tex]\sf 15m+2m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]
Add 21 from both sides:
[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]
[tex]\longmapsto\sf 17m\le \:17m+19[/tex]
Subtract 17m from both sides:
[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]
[tex]\longmapsto\sf 0\le \:19[/tex]
Therefore, the solution of the inequality: All real numbers
_____________________________________________
- Alto and Sheryl both worked hard over the summer. Together they earned a total of $475. Sheryl earned $25 more than Alto. (a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned. a (b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it's perfectly okay to upload multiple files. (c) Use Elimination or Substitution to solve the system. (d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences. Answer:
pls hurry its due tomorrow
Answer:
s = 250
a = 225
Step-by-step explanation:
Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]
Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]
By graphing, we can let s = y and a = x, so we have the following equations:
[tex]x + y=475\\y=x+25[/tex]
Plugging this into Desmos, we have this: (look at screenshot uploaded)
We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.
Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]
The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.
Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD
Answer:
neither
Step-by-step explanation:
If 2 lines are parallel then their slopes are equal
If 2 lines are perpendicular then the product of their slopes = - 1
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )
[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat
with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )
[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]
The slopes are neither equal nor have a product of - 1
Please help!!
Choose the definition for the function.
9514 1404 393
Answer:
A. {2x, x<1; (x+5)/2, x≥1}
Step-by-step explanation:
The left side of the graph (x<1) has positive slope and a y-intercept of 0. Only one answer choice matches: choice A.
Plot the image of quadrilateral ABCD under a reflection across line L
Step-by-step explanation:
The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)
Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l
Method:
The coordinates of the vertices of the given quadrilateral ABCD are as follows
A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)
Due to its orientation, the line l can be taken as being equivalent to the y-axis
The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)
Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;
A(-2 0), reflected across the y-axis gives the image A'(2, 0)
B(-3, 4), reflected across the y-axis gives the image B'(3, 4)
C(0, 4), reflected across the y-axis gives the image C'(0, 4)
D(-1, 1), reflected across the y-axis gives the image D'(1, 1)
The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;
A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)
The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph
Learn more about transformations here:
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laminiaduo7 and 1 more users found this answer helpful
10. If pointer 1 is spun and then pointer 2 is spun, determine the probability of landing on a color other than red on both spins. The probability is (Type an integer or a simplified fraction.)
Answer:
Answer below
Step-by-step explanation:
1/8 is correct
in pic
_________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
Solve for x in terms of y if 3x - 5 = y.
Answer:
5/3
Step-by-step explanation:
y= 3x - 5
Replace y with 0
0 = 3x -5
Rewrite the equation as
3x−5=0
Add 5 to both sides of the equation.
3x=5
Divide each term by 3 and simplify.
x = 5/3
Hope this helped :)
find four rational numbers between -5 and 8
Answer:
4.3, 4,5, 5.4, and 5.5
Step-by-step explanation:
one of the acute angles of a right angle triangle is 35 degree find the measure of the acute angle.
Answer:
55°
Step-by-step explanation:
One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°
125°+ Unknown acute angle = 180°
Unknown acute angle = 180°-125°
Unknown acute angle =55°
Answer:
55°
Step-by-step explanation:
One triangle 180° 90+35 =125-180=55°
3/4 ÷ a = 1/4. Solve for a
Answer:
a = 3
Step-by-step explanation:
ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4
you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4
then you cross multiply and you get 12=4a
swap sides so its going to be 4a = 12
divide both sides by 4 and you get a = 3
HI.PLS HELP HAVE AN EXAM TOMORROW.
Answer:
A
Step-by-step explanation:
In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same
what is the change from 3 to -8?
Answer:
-11
Step-by-step explanation:
3 - 11 = -8