Answer:
a=23°45'
Step-by-step explanation:
a+b=180°
b=a•4-10°
a+a•4-10°=180°
2a•4-10°=180°
2a•4= 190°
2a=190°/4
2a= 47°30'
a=47°30'/2
a= 23°45'
Find three consecutive odd integers where the sum of the two largest is seven less than three times the smallest.
Answer:
13, 15, 17Step-by-step explanation:
x - an integer then 2x + 1 is an odd number (the smallest one)
consecutive odd numbers increase by 2
so the next odd number (the middle number) is:
2x + 1 + 2 = 2x + 3
and the third (the largest) consecutive is:
2x + 3 + 2 = 2x + 5
the sum of the the two largest numbers is:
2x + 3 + 2x + 5
3 times the smallest number is:
3(2x + 1)
the sum of the two largest is seven less than three times the smallest, so:
2x + 3 + 2x + 5 = 3(2x + 1) - 7
4x + 8 = 6x + 3 - 7
-6x -6x
-2x + 8 = -4
-8 -8
-2x = -12
÷(-2) ÷(-2)
x = 6
2x+1 = 2•6+1 = 13
2x+3 = 2•6+3 = 15
2x+5 = 2•6+5 = 17
Check:
2x+3+2x+5 = 15+3+15+5 = 38
38+7 = 45
45÷3 = 15
Ellen is making jewelry sets that contain a bracelet and a pair of earrings. Each bracelet uses 3 times as many beads as one earring. Ellen uses 13 beads for each earring. How many beads does Ellen need to make one jewelry set?
Answer:
Ellen will need 65 beads to make one jewelry set
Step-by-step explanation:
solve the equation x to the 3 power = -215
Answer:
cube root of -215 or -5.9
Step-by-step explanation:
Since this can't be a perfect cube the answer would be cube root of -215 or you find the closest perfect cubes which would be -5 and -6
-5cubed is -125 and -6cubed is -216 and -215 is closer to -216 the number approximately would be -5.9
Hope this helps :)
The cube root of the number -215 will be 5.99i.
What is a cube root?An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots.
Iota is a fictitious unit number represented by the letter I and its value is -1. You may have encountered circumstances where the discriminant is negative while attempting to solve quadratic equations.
Given the expression of cube root is x³ = -215.
x³ = -215
x = ∛-215
x = 5.99i
Therefore, the cube root of the number -215 will be 5.99i.
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3k-8+9k+10 its on like term
Answer: 12k+2
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $38 per month for unlimited calls and Plan 2 charges $18 per month plus $0.04 per call.
The question is incomplete:
The telephone company offers two billing plans for local calls. Plan 1 charges $38 per month for unlimited calls and Plan 2 charges $18 per month plus $0.04 per call.
Use an inequality to find the number of monthly calls for which plan 1 is more economical than plan 2.
Answer:
Plan 1 is more economical than plan 2 when you make more than 500 monthly calls.
Step-by-step explanation:
Plan 1 costs $38 per month for unlimited calls and plan 2 costs $18 per month plus $0.04 per call which is: 18+0.04x and you can infer that plan 1 would be cheaper when you have to pay more than $38 using plan 2 and you can express it with the inequality:
18+0.04x>38, where x is the amount of monthly calls
Now, you can solve for x:
0.04x>20
x>20/0.04
x>500
According to this, plan 1 is more economical than plan 2 when you make more than 500 monthly calls.
A circular plot of diameter 28m is surrounded by a path of uniform width. If the area of the path is 346.5^2, find the width of the path.
Answer:
the width of the path is 2.81 m
Step-by-step explanation:
given:
A circular plot of diameter 28m is surrounded by a path of uniform width
If the area of the path is 346.5^2
find:
the width of the path.
---------------------------------
dia of circle = 28m
let Si = side of inner square path = 28 m
let So = outer side of square path = ?
1st step
is to get the total area
At = area of path + area of inner square
At = 346.5 + (28 x 28)
At = 1130 m²
2nd step
get the outer side of square path So
At = So²
1130 = So²
So = √1130
So = 33.62 m
lastly solve the width of path:
Width (w) = (So - Si)/2
w = (33.62 m - 28 m) / 2
w = 2.81 m
therefore,
the width of the path is 2.81 m
Is this a proportional relationship?
Answer: yes, because it is a straight line and is on the origin and goes through the origin so it is a proportional relationship
hoped this helped let me know if it did
Which of the following ratios are equivalent? explain
14/21, 15:20, 40 to 60
Answer:
15:20 and 40:60
Step-by-step explanation:
When simplified completely they both are equal to 2/3
Solve for fff.
-f+2+4f=8-3f−f+2+4f=8−3fminus, f, plus, 2, plus, 4, f, equals, 8, minus, 3, f
f =
Answer:
f=1
Step-by-step explanation:
Can someone plz help me with this question.
Answer:
Eric forgot to add 2 to both sides.
Step-by-step explanation:
He forgot to add 2 to both sides so that he cancel out the -2 from the equation. Then the equation would become 2/5v=6 the you would divide those two and your answer would be 1/15.
write a p if the sum is positive and a n if the sum is negative
1. (+6) + (-5) =
2. (+6) + (-9 =
3. (-6) + (-4) =
4. (+6) + (-2) =
what is each sum
1. (-7) + (+1) + (+2) =
2. (-2) + (-4) + (+3) =
3. (+5) + (+3) + (-1) + (-4) =
4. (-4) + (+3) + (-2) + (-6) =
Answer:
[see below]
Step-by-step explanation:
For Part 1:(+6) + (-5) = 6 - 5 = 1 (P)
(+6) + (-9) = 6 - 9 = -3 (N)
(-6) + (-4) = -6 - 4 = -10 (N)
(+6) + (-2) = 6 - 2 = 4 (P)
Part 2:(-7) + (+1) + (+2) = -7 + 1 + 2 = -4
(-2) + (-4) + (+3) = -2 - 4 + 3 = -3
(+5) + (+3) + (-1) + (-4) = 5 + 3 - 1 - 4 = 3
(-4) + (+3) + (-2) + (-6) = -4 + 3 -2 - 6 = -9
Hope this helps.
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $ 1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 15 cents more than what was paid for the previous subscription. How much will you earn by selling 175 magazine subscriptions?
Answer: $27.35
Step-by-step explanation:
First let's find the variables.We will use x to represent the number of subscription sold and y we will represent the amount of money you will get paid.
So we know that , if you sell One You will get $1.25 so we could represent it by the point (1,1.25) .
Now the second statement says that if you sell an additional subscription you will get an additional 15 cents or $0.15.Which means if you sell the second subscription, you will get $1.40 because it is an additional 15 cents. We can also represent that by the point (2,1.40)
Now using the two points come up with an equation.
(1,1.25)
(2,1.40) Find the slope and y intercept.
TO find the slope find the difference between y and divide it by the difference in x.
1.25 - 1.40 = 0.15
1 - 2 = 1
0.15/ 1 = 0.15 So the slope is 0.15
Now use the point to find the y intercept. using the y-intercept formula,
y = mx + b
1.25 = 0.15(1) + b
1.25 = 0.15 + b
-0.15 0.15
b = 1.1
We can now write the equation y = 0.15x + 1.1 to represent the whole situation where x is still the number of subscriptions sold and y is the money you will get paid. Now to find how much you will earn for 175 subscriptions, you will input 175 for x and solve for y.
y = 0.15(175) + 1.1
y = 26.25 + 1.1
y = 27.35
So you will earn $27.35 for 175 subscriptions
56.1 divided by 6.6 (ones)
Answer: The answer is 8.5
Step-by-step explanation:
The value of the number expression 56.1 ÷ 6.6 is 8.5 after using the concept of arithmetic operation the answer is 8.5.
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 a basic four operators that is +, -, ×, and ÷.
It is given that:
56.1 divided by 6.6 (ones)
As we know from the arithmetic operation, the operation in which we do
the addition of numbers, subtraction, multiplication, and division.
= 56.1 ÷ 6.6
= 8.5
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
Thus, the value of the number expression 56.1 ÷ 6.6 is 8.5 after using the concept of arithmetic operation the answer is 8.5.
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what was the property of equality
Reflexive Property=For all real number X,X=X
A number equals itself
Addition Property=For all real number X,y & Z,. if
X=Y then X+y=y+Z
Subtraction Property=For all real number X,Y And Z if X=y then X-Z=y-Z.
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
What is the greatest number of bricks Lynn can make?
___ bricks
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
___ pounds
Answer:
A. 10 bricks
B. 4 pounds
Step-by-step explanation:
Water = 39 pounds
brick dust = 48 pounds
Total mixture = water + brick dust
= 39 + 48
= 87 pounds
She spills 13 pounds of the mixture while stirring
Remaining mixture = Total mixture - Spillage
= 87 pounds - 13 pounds
= 74 pounds
The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture
Number of bricks made = Remaining mixture / pounds per brick
= 74 pounds / 7 pounds
= 10 bricks remaining 4 pounds of the mixture
A. What is the greatest number of bricks Lynn can make?
10 bricks
B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
4 pounds
Mike took some money to the movies. He spent 1/2 of the money on the ticket and 1/3
of the money on snacks. He spent $10 total. How much money did he bring to the
movies?
He bring $12 to the movie.
What is Algebra?
Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression. All the branches of mathematics such as trigonometry, calculus, coordinate geometry, involve the use of algebra. One simple example of an expression in algebra is 2x + 4 = 8.
Given:
let the total money be x
1/2 of the money on the ticket
=1/2 x
1/3 of the money on snacks
=1/3 x
total he spent= $10
1/2 x + 1/3 x = $10
5/6 x= 10
x= 10* 6/5
x = 12
Hence. he bring $12 to the movie.
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what is the product of (3d -5)(2d + 9)
HELP ASAP FOR BRANETEST
Your answer is 6170.
So, we have the equation..
[tex]6.17*1,000[/tex]
Multiply 6.17 by 1,00 and you get [tex]6170[/tex].
$50000000 +1000000000000
Answer: 1000050000000
Answer:
1 X 10^12 + 5 X 10^7
$10000050000000
Step-by-step explanation:
solve for r
negative 13 equals r over 9 plus eight
Answer:
r = - 189
Step-by-step explanation:
Given
- 13 = [tex]\frac{r}{9}[/tex] + 8 ( subtract 8 from both sides )
- 21 = [tex]\frac{r}{9}[/tex] ( multiply both sides by 9 )
- 189 = r
Answer: r= -189
Step-by-step explanation:
is it true or false that you can compare irrational numbers using rational approximation?
Answer:
The same is true for comparing irrational and rational numbers. By finding a rational approximation of the irrational numbers, we can compare values such as and . For these numbers we may have to go to a three decimal places for our approximation and the use of a calculator would make sense.
Step-by-step explanation:
hope this helps!!!!!!!
need help immedaitly
Answer:
A=10053.1
Step-by-step explanation:
x+y=3
y=x-5
what is the solution to the system of equations?
Answer:(4,-1)
Step-by-step explanation:
Answer:
1,4
Step-by-step explanation:
A farmer performs an experiment to find the amount of fertilizer needed to increase crop yields. She uses different
amounts of fertilizer, measured in pounds per acre (Ib/acre). She then records the yields, in bushels per acre (bu/acre).
Her results are shown in the table and graphed on the scatter plot.
Which equation best models the farmer’s data?
•A, y = 0.37x + 31
•B, y = 32(1.006)^x
•C, y = -0.009x^2 + 2.13x - 43
•D, y = -0.009x^2 + 2.13x + 43
Answer:
C.
Step-by-step explanation:
find the value of m!!!
Answer:
[tex]m=158[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Hence,
[tex](m-29)+51=180[/tex]
Remove brackets:
[tex]m-29+51=180[/tex]
[tex]m+22=180[/tex]
Subtract 22 from both sides:
[tex]m+22-22=180-22[/tex]
[tex]m=158[/tex]
Answer:
[tex]\displaystyle 158 = m[/tex]
Step-by-step explanation:
Both angles form a linear pair, making them supplementary angles. This means you set both expressions equivalent to one hundred eighty degrees:
[tex]\displaystyle 180° = 51° + [m - 29]° \hookrightarrow 180° = [m + 22]° \\ \\ \boxed{158 = m}[/tex]
I am joyous to assist you at any time.
Find the slope of the line passing through the points
(8, 2) and (10,2)
Answer:
Step-by-step explanation:
(2-2)/(10-8)= 0/2 = 0 is the slope
y - 2 = 0(x - 8)
y - 2 = 0
y = 2
what is -5 + -66 +(92) =
Answer:
21
Step-by-step explanation:
i did it on a calculator
hope this helps
Answer:
21
Step-by-step explanation:
Can i be brainliest
help please I'm very confused
Answer:
D
Step-by-step explanation:
Note that 3 × 4 = 4 × 3 = 12
This is called the commutative property of multiplication.
Thus
(5 + 6) × (2 + 4) = (2 + 4) × (5 + 6)
Write 4.06 x 10^-4 in standard form
Answer:
0.000406x
Step-by-step explanation:
Which property of real numbers is shown below?
-6 + 6 = 0
Answer:
equality
Step-by-step explanation:
