Answer: 45
Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.
Answer:
X=45
Step-by-step explanation:
Method 1 ( the long one)
So AED and CEB are vertical angles, that means that the are the same and have the same value.
So 115 plus x equal 160.
115 + x = 160
from there we just have to subtract 115 from both sides to get x by itself.
115 + x = 160
-115 -115
_________________
x=45
Method 2 (short one
If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.
Josef paid $10 for 6 avocados at the Grocery Mart. He wants to know what the price would be for buying different numbers of avocados.
What is the price of 9 avocados?
Answer:
$ 15
Step-by-step explanation:
From the question given above, the following data were obtained:
Avocados >>>> Price (dollars)
3 >>>>>>>>>>>> 5
6 >>>>>>>>>>>> 10
9 >>>>>>>>>>>> ?
From the table above,
3 avocados cost $ 5.
With the above information in mind, we can obtain the cost of 9 avocados as follow:
From the table above,
3 avocados cost $ 5.
Therefore,
9 avocados will cost = (9 × 5)/3 = $ 15
Thus, Josef will pay $ 15 for 9 avocados.
Answer:
15
Step-by-step explanation:
5+10= 15
Factor the expression below.
25x2 + 20x + 4
Answer:
Factor using the perfect square rule.
( 5 x + 2 ) ^2
Step-by-step explanation:
I hope this helps! Have a nice day!
Solve for x, given the attached image.
Answer:
x = 8
Step-by-step explanation:
Central angle = measure of intercepted arc
Central angle = 47°
Arc measure = 7 + 5x
Therefore:
7 + 5x = 47
Subtract 7 form both sides
5x = 47 - 7
5x = 40
Divide both sides by 5
x = 40/5
x = 8
a rhyolite rock has a volume of 9.5 ml. the density of the rock is 2.6 g/cm. what is the mass of the rock
2. Agrocer has a block of cheese that has length 12 inches, width 4 inches and height 3
inches. Then he slices the cheese into two equal triangular prisms. What will be the
length of the of the rectangular cross-section? (If necessary, round your answer to the
nearest inch.)
Answer:
3.4
Step-by-step explanation:
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the length of the rectangular cross-section is 5 inches.
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangle bases connected by a rectangle surface.
A grocer has a block of cheese that has a length of 12 inches, a width of 4 inches, and a height of 3 inches.
Then he slices the cheese into two equal triangular prisms.
Let L be the length of the rectangular cross-section.
The length of the rectangular cross-section will be given by the Pythagoras theorem.
L² = 3² + 4²
L² = 9 + 16
L² = 25
L = √25
L = 5
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Simplify (2x*2)(3x*3).
Answer:
6x^2 + 6x + 6x + 6
Step-by-step explanation:
You're cross multiplying the numbers on the left with the numbers on the right. Here is the order you multiply them in to eliminate the brackets, aka simplify the equation.
Step 1: (this ....) x ( this ....)
Step 2: (this ....) x (.... this)
Step 3: (.... this) x (this ....)
Step 4: (.... this) x (.... this)
REMEMBER!! When you multiply numbers with x's in them, make sure that you're multiplying the X's together too. For example, 2x times 3x is 6x^2 NOT 6x. Why? x times x is x^2 (aka x squared)
HELPPPPPPPPPPPPPPPPPPPO
Answer:
6, 4.854, 7.054, I think
Step-by-step explanation:
I used trig functions to solve for them
1st I found the central angle and divided it by 10 to create myself a right triangle in the middle with an altitude.
I then found the 3rd angle using the triangle angle sum theorem and then used trigometic functions to solve for X
(6)Cos(36)= Apothem
(6)Sin(36)= Sidelength/2
Need some help pleasEEE
The blueprint for the Moreno's living room has a scale of 2 in. = 7 ft. The family wants to use a scale of 1 in. = 5ft. What is the width of the living room on the new blueprint?
Please help, I'm serious-
which value of a would make the expression 5 1/3 divided by 4/a equivalent to a whole number?
9514 1404 393
Answer:
a = any positive multiple of 3
Step-by-step explanation:
You want ...
(5 1/3)/(4/a) = whole number
(16/3)·(a/4) = whole number
(4a/3) = whole number
This will be the case for a = 3n, for any positive integer n.
The general manager of a pizza restaurant is running a surprise promotion in which every customer on a particular day has a 2% probability of winning free pizza for a % probability of win vear.
(a) How many customer should the general manager expect until there is a winner?
(b) If there were 150 customers on a day of the promotion, what is the probability that (i) none of the customers won?) That exactly one customer won? and iii) That at least two customers won?
Answer:
a) The general manager should expect 50 customers until there is a winner.
b - i) 0.0483 = 4.83% probability that none of the customers won.
b - ii) 0.1478 = 14.78% probability that exactly one customer won.
b - iii) 0.8039 = 80.39% probability that at least two customers won.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they win the prize, or they do not. The probability of a customer winning the prize is independent of other customers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
2% probability of winning free pizza
This means that [tex]p = 0.02[/tex]
(a) How many customer should the general manager expect until there is a winner?
The expected number of trials until there is n sucesses, with p probability, is given by:
[tex]E = \frac{n}{p}[/tex]
In this question, 1 winner(success). So
[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]
The general manager should expect 50 customers until there is a winner.
(b) If there were 150 customers on a day of the promotion
This means that [tex]n = 150[/tex]
(i) none of the customers won?
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{150,0}.(0.02)^{0}.(0.98)^{150} = 0.0483[/tex]
0.0483 = 4.83% probability that none of the customers won.
ii) That exactly one customer won?
This is [tex]P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{150,1}.(0.02)^{1}.(0.98)^{149} = 0.1478[/tex]
0.1478 = 14.78% probability that exactly one customer won.
iii) That at least two customers won?
This is [tex]P(X \geq 2) = 1 - P(X < 2)[/tex], in which:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0483 + 0.1478 = 0.1961[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1961 = 0.8039[/tex]
0.8039 = 80.39% probability that at least two customers won.
Solve the system of equations below.
х– Зу =- 4
Зх – 9y =- 12
simplify 12x + 16 - 7x.
Answer:
5x + 16
Step-by-step explanation:
combine like terms (x) 12 + -7 = 5
so 5x + 16
leave the 16 because there is not like term to combine it with and you don't have a y to finish solving the equation
final answer: 5x + 16
hope this helps
Answer: 5x + 16
Step-by-step explanation:
19, 38, 76, ... find the 8th term
Help ASAP ?!!!!!!! Thank you!
What is
x-3y=-15
x=-3
Answer:
-3
Step-by-step explanation:
How would you solve x^3=8
Answer:
2
Step-by-step explanation:
[tex]x^{3} =8\\x=\sqrt[3]{8} \\x=2[/tex]
use your calculator
7+9876*67781+543523153
Answer:
1212928316
Step-by-step explanation:
(-7/10+0.15)÷ (-0.125) help?
Answer:
4.4
Step-by-step explanation:
Answer:
4.4
Step-by-step explanation:
-7/10 + 0.15 = -0.7 + 0.15 = -0.55
-0.55 ÷ -0.125 = 4.4
Question: What is the fractional value of A?
Answer:&.&/
Step-by-step explanation:82
The formula n(n+1)/2
can be used to find the sum of the first n natural number.
Find the sum of the first 10 natural numbers.
Joe bought a pizza with 8 slices. He ate 5 of the slices. What percent of the pizza did Joe eat?
Answer:
62.5%
Step-by-step explanation:
Graph y = -7/3x + 2
Please help
Hi there!
Slope: -7/3
y-intercept: (0,2)
x y
_______
0 2
6/7 0
Hope I helped
~SharkieOwO~
5.54 pints to quarts
Answer:
2.77
Step-by-step explanation:
yes
Answer: 2.77000016 quarts
(2 5/8 5/6)+ 1 1/8 what is the answer?
Answer:
(2 * 5/8 * 5/6) + 1 1/8 = 13/
6
= 2 1/
6
≅ 2.1666667
Step-by-step explanation:
Multiple: 2 * 5/ 8 = 2 · 5/ 1 · 8 = 10/ 8 = 5 · 2/ 4 · 2 = 5/ 4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(10, 8) = 2. In the next intermediate step , cancel by a common factor of 2 gives 5/ 4 .
In words - two multiplied by five eighths = five quarters.
Multiple: the result of step No. 1 * 5/
6 = 5/ 4 * 5/ 6 = 5 · 5/ 4 · 6 = 25/ 24
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(25, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - five quarters multiplied by five sixths = twenty-five twenty-fourths.
Conversion a mixed number 1 1/ 8
to a improper fraction: 1 1/8 = 1 1/ 8 = 1 · 8 + 1/ 8 = 8 + 1/ 8 = 9/ 8
To find new numerator:
a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/ 8 = 8/ 8
b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 8.
One and one eighth is nine eighths
Add: the result of step No. 2 + 9/
8 = 25/ 24 + 9/ 8 = 25/ 24 + 9 · 3/ 8 · 3 = 25/ 24 + 27/ 24 = 25 + 27/ 24 = 52/ 24 = 4 · 13/ 4 · 6 = 13/ 6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(24, 8) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 8 = 192. In the next intermediate step , cancel by a common factor of 4 gives 13/ 6.
In words - twenty-five twenty-fourths plus nine eighths = thirteen sixths.
The expression (2 x 5/8 x 5/6) + 1 1/8 evaluates to 49/24.
To calculate the given expression, we'll follow the order of operations, which states that multiplication and division should be performed before addition.
Let's break down the expression step by step:
Multiply: 2 x 5/8 x 5/6
First, multiply the numerators together: 2 x 5 x 5 = 50.
Then, multiply the denominators together: 8 x 6 = 48.
The expression becomes 50/48.
Add: 50/48 + 1 1/8
To add fractions, we need to find a common denominator. In this case, the common denominator is 8.
Converting the whole number 1 to a fraction with a denominator of 8, we get 8/8.
The expression becomes (50/48) + (8/8).
Next, we add the fractions:
50/48 + 8/8 = (50 + 48)/48 = 98/48.
The fraction 98/48 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
98/48 = (49 x 2)/(24 x 2) = 49/24.
So, the final answer is 49/24.
The expression (2 x 5/8 x 5/6) + 1 1/8 evaluates to 49/24.
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If a pair of shoes is on sale for 12% off and the cost is $76.99.What is the final price?
Answer:
$67.75
Step-by-step explanation:
12% off means that 88% of $76.99 is the final price.
76.99×0.88= 67.7512
Answer:
$67.75
Step-by-step explanation:
To calculate 88% (which is 100% - 12%(the discount)) you need to multiply it by 67.75 and divide by 100
Jared sold 194 Boy Scout chocolate bars. Matthew sold three times as many as Jared. Gary sold 297 fewer than Matthew. How many bars did Gary sell
Answer: 285
Step-by-step explanation:
Jared = 194
Matthew=(194)(3)=582
Gary=582-297=285
Fewer means Substraction
Gary will sell 285 chocolate bars
PLEASE HELP ASAP!!! FOR A TEST
A set of nine cards has a different number, 1 through 9, printed on each card. Sarah picks one card from the set, replaces it, and then draws a second card. What is the probability that Sarah draws a 3 and then draws a multiple of 2?
Answer:
4/81
Step-by-step explanation:
So first, the probability that she gets a 3 first is 1/9, because there is only 1 card out of 9 total cards.
Next, the probability that she gets a multiple of 2 is 4/9, because there are 4 different things she can pick (2, 4, 6, 8) out of the total 9 cards.
The last step is to multiply the two, so 1/9 * 4/9 = 4/81.
A flagpole measures 64 feet tall. A tree measures 17.7 meters tall. Which is taller? By how much
Answer:
Flagpole
1.8
Step-by-step explanation:
Flagpole is taller by 1.8072 m.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
A flagpole measures 64 feet tall.
A tree measures 17.7 meters tall.
as, we know 1 foot = 0.3048 meter
So, the height of Flagpole in meter is
= 64 x 0.3048
= 19.5072 m
Thus, Height of Flagpole is more than Tree by
= 19.5072 -- 17.7
= 1.8072 m
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Classify the following triangle. Check all that apply.
A.
Right
O B. Obtuse
Dc. Isosceles
D. Acute
DE. Equilateral
0F Scalene
Answer please
And with steps
Answer:
angle 7 is 115°
Step-by-step explanation:
angle 1 is Alternative Exterior Angles, that means they are exactly the same.