Answer: Each guest will receive 21 pieces.
Please help me asap
The line passing through which two points is perpendicular to the line 10x + 2y = 2?
A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)
Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Perpendicular line in this caseIn this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:
2y=2 - 10x
y= (-10x +2)÷ 2
y= -10/2x +2/2
y= -5x +1
The line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
-5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:
(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.
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Select the correct answer. Graph the following system of inequalities.
y <2x+1
y<-x-1
A. X
B. Z
C. W
D. Y
The graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The inequality functions are y <2x+1 and y<-x-1. When we plot the graph of the functions we can see that the two lines intersect at the point ( -1, 0 ) and overlap below the function.
The graph of the functions is y <2x+1 and y<-x-1 is attached with the answer below.
Therefore, the graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.
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a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together
Answer:
There would be 12
Step-by-step explanation:
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Answer:
C. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
if my perimeter is 17 then how much is n in this question/photo?
Answer:
hope it helps you........
Alberto has $2.25 in dimes and nickels in his pocket. He has nine more nickels than dimes. How many of each type of coin does he have?
I really need help!
Alberto has 12 Dimes and 21 Nickels in his pocket.
How many of each type of coin does he have?Dimes value = 0.10$
Nickels value = 0.05$
Let d = number of dimes = 0.10d
Let d+9 = number of nickels = 0.05(d + 9)
Value of the Dimes + Value of the Nickels = total value of the coins
Write the equation:
0.10d + 0.05(d + 9) = 2.25
Distribute:
0.10d + 0.05d + 0.45 = 2.25
0.15d + 0.45 = 2.25
Subtract 0.45 from each side:
0.15d = 1.80
Divide to find the number of dimes.
d = 12
The number of nickels is d +9 = 12 + 9 = 21
Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.
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solve pls brainliest
Answer:
Yes, This is a repeating decimal
No, This is a decimal that neither terminates or repeats
No, This is a decimal that neither terminates or repeats
Yes, This is a terminating decimal
Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have?
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
2/6+3/6=5/6
plz help :)))) i need asap
Answer:
IJM and NMJ
Step-by-step explanation:
They're on alternate sides and on the interior of the complex.
Answer:
<IJM and <NMJ
Step-by-step explanation:
Alternate interior angles are angles which are inside the parallel lines and on alternate sides of the third line.
In this case they correspond to <IJM and <NMJ
Question
The dimensions of a sports pennant are given in the diagram. Find the values of x and y.
Answer:
x= 79° y= 22°
Step-by-step explanation:
x is the same as 79
79+79= 158
180° in a triangle
180-158= 22°
Please help me with these problems!
Answer:
143880000 people have dogs and b.
Step-by-step explanation:
327,000,000 * .44(44 percent) = 143880000
the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.
Answer:
Step-by-step explanation:
3)
327 Million → 100%
x → 44%
100x = 44×327
100x = 14388
x = 14388/100
x = 143.88 Million people
4) D
I hope I've helped you.
make a conjecture (prediction) about the table. what will happen if we continue the table, going down?
The other question is in the picture
Activity 2: of Directions: Write T before each item if the statement is TRUE, otherwise write F.
For items 1-2: Use the problem below to answer the following questions.
Your mother invested PhP 10,000.00 in an investment institution at 5% compounded semi-annually for x years.
___1. y = 10 000(1.025)2x is the function that represents mother's total investment
Using compound interest, it is found that the correct options are:
1. True.
2. True.
Compound interest:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. x is the time in years for which the money is invested or borrowed.Item 1:
Invested 10000, hence [tex]P = 10000[/tex].Semi-annually, hence [tex]n = 2[/tex].Interest rate of 5%, hence [tex]r = 0.05[/tex]Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]
[tex]A(x) = 10000(1.025)^{2x}[/tex]
Hence option 1 is True.
Item 2:
Quarterly, hence [tex]n = 4[/tex].Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]
[tex]A(x) = 10000(1.0125)^{4x}[/tex]
Hence option 2 is also True.
A similar problem is given at https://brainly.com/question/24507395
You plan on joining a gym. The joining fee is $30 and you must pay $12 a month fee. If you have $100, how many months can you use the gym? Write and solve an inequality to represent the solution.
I need the process for this otherwise I won't get credit for it!!
Answer:
Inequality: 30+12x < 100
x ≈ 5 months
Step-by-step explanation:
To solve, first create the inequality. In this problem, 30 dollars is the flat fee for joining the gym and thus a constant. Additionally, 12 is the monthly payment and thus the coefficient for a variable because it changes with the number of months. Finally, 100 is the most that can be spent (the max), so it should be on the other side of the inequality and the sign should be less than or equal to 100.
This makes the inequality: 30+12x < 100
To find the number of months solve the inequality for x.
30+12x<10012x<70x<5.8So, the inequality equals x<5.8. However, the question asks for the number of full months. And, no more than 100 dollars can be spent. So, while you would normally round up. In this case, you must round down to 5 months.
e
Week 6: Culmination Knowledge Check
CLEAR MY CHOICE
Question 8
You buy milk in 1-gallon containers. One portion of waffles requires 2 ounces of milk. How many portions can be made with one container? Select one
a 128
b. 16
c. 32
d. 64
CLEAR MY CHOICE
Question 9
You have 24 quarts of brown stock. You need 75 cups to make one serving of kidney beans. How many servings can you make? Select one
A sum of money is shared in the ratio 3:7.
If the smaller share is $450, what is the
8
larger share?
(A) $315
(B) $1050
$1500
(D)
$3150
| (C)
Answer:
B) $1050
Step-by-step explanation:
[tex]450(7/3)=(450)(7)/3=3150/3=1050[/tex]
Hope this helps
Jessica and her family bought 5 tickets to a
music concert. Tickets for adults cost $5.10 and
tickets for children cost $3.60. Jessica and her
family spent a total of $21. How many tickets
for adults (a) and how many tickets for children
(c) did they buy?
a + c = 5
5.1a + 3.6C = 21
[?] adults [ ] children
Step-by-step explanation:
work is shown and pictured
help Pleasee asap !!
A = 1 and B = 5
3a + 11 = 14 || 3a = 3 || a = 1
7b - 13 = 22 || 7b = 35 || b = 5
Answer:
A= 1
B = 5
Step-by-step explanation:
3a + 11 = 14
A = 1
7b - 13 = 22
7b = 35
B = 5
Identify the restrictions on the domain of f(x) =
X +5
X-2
Ox#5
OX-5
Ox=2
Ox= -2
Solve the math problem
Answer:
1 -66
2. 162
3.11/-2
4. 8/-11
5.12/0
6. 0
7. 15/14
8. 2/-5
Step-by-step explanation:
If two numbers are 10 apart, is it likely that their square roots are also 10 apart?
b) How far apart are the square roots of numbers that are 10 apart likely to be?
pls no links!<3 thanks:)
Answer:
yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?
Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
If two numbers are 10 apart.
As we know,
The square root of 100 is 10
√100 = 10
Let us assume the number 90 which is near the 100
The square root of the number 90 is 9.48 which is near or after rounding:
√90 = 9.5
Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.
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purchased two candles from Target. The first candle has a height of 10 inches and burns at a rate of 3 inches per hour. The second candle has a height of 8 inches and burns at a rate of 2 inches per hour. After how many hours will both candles be at the same height?
Answer:
In 2 hours
Step-by-step explanation:
10/3 8/2
10-6 = 4
6 from 3*2(aka the hours)
8-4 = 4 from 2*2(aka the hours)
you can also set this up like
10-3x=8-2x and solve for it
Answer: At the 2 hour mark.
Step-by-step explanation:
10-3=7. 7-3=4
8-2=6. 6-2=4
Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
The domain for f(x) is all real numbers ___ than or equal to 2
Step-by-step explanation:
f(x) = 2x² + 5√(x - 2)
Domain
√(x - 2) ≥ 0
x - 2 ≥ 0
x ≥ 2
x is greater than or equal to 2
Answer: Greater than
Step-by-step explanation:
Caleb has 3 apples and he loses 1 apple how many apples does Caleb have?
Answer:
2 apples
Step-by-step explanation:
he should be more careful next time :)
10x + 44
8x - 23
It’s solving for X in triangles
Answer:
x=33.5
Step-by-step explanation:
I’m wondering if this is a polygon
Answer:
They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!
Have a great day!
Brainliest please :)
Please help the screenshot is below. Find the domain. THE ANSWER IS NOT x≠2.
Answer:
x>2 or (2,∞)
Step-by-step explanation:
if x≤2, 3*|2-x| = 3*(2-x) = 6-3x
3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0 ... f(x) -> ∞ denominator = 0
if x>2, 3*|2-x| = 3*-(2-x) = -6+3x
3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0
What is the solution to the equation?
a+5 2/3=9
Answer:
A= 3 1/3
Step-by-step explanation:
name the congruent triangles
will give brainliest
Answer:
ΔOGD ≅ΔPRC
Step-by-step explanation:
SAS
