Yo sup??
m3 and m6 for a supplementary pair therefore
m3+m6=180
122+m6=180
m6=58
Hope this helps
The required measure of the angle m∠6 is given as 58 degrees. Option B is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
For the bisection of parallel line by transversal line,
Corresponding angles always have an equal measure,
So, ∠2 = ∠6
Now,
∠2 + ∠3 = 180
∠6 + 122 = 180
∠6 = 58°
Thus, the required measure of the angle m∠6 is given as 58 degrees. Option B is correct.
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Please answer this sample space question.
A = number of flavors = 3
B = number of toppings = 4
C = number of syrups = 2
D = number of different sundaes (picking one flavor, topping and syrup)
D = A*B*C
D = 3*4*2
D = 24
There are 24 different sundaes possible.
Answer: C) 2420 POINTS!!
What is the value of x?
Answer:
98up-'[y;adsdsfsafafdespenol es mi amigos si
Step-by-step explanation:
plz help i need helppppppp
Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is
[tex]a_1=12 \\ a_n=a_{n-1}+4.[/tex]
That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;
[tex]a_1=20\\ a_n=a_{n-1} - 5[/tex]
This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0
if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal will you meet after the batch is finished
Answer:
12.5% ≈ 13%
Step-by-step explanation:
The rest of the question is: There are 75 pills in the batch.
The current batch of pills is the first of the day and our goal is to produce a total of 600.
If there are 75 pills in the batch so percentage of goal completed will be
[(number of pills in the batch)/(Total pills)] * 100
[tex]\frac{75}{600}*100 = 12.5 \%[/tex]
≈ 13% to the nearest whole number
The percentage of the goal met after the batch is finished is 100%.
Explanation:To find the percentage of the goal met after the batch is finished, we need to divide the number of pills produced by the goal and then multiply by 100. In this case, since the goal is 600 and the batch produced 600 pills, the percentage of the goal met would be:
Percentage of goal met = (600/600) * 100 = 100%
Therefore, after the batch is finished, 100% of the goal will be met.
A town's population has been growing linearly. In 2003, the population was 64000, and the population has been growing by 2200 people each year. Write an equation for the population x years after 2003.
What is 0.00072 written in scientific notation
Answer: 7.2 * 10 to the negative four
Step-by-step explanation:
solve the equation (3x+10)+81=0
Answer:
x = -30*1/3
Step-by-step explanation:
(3x+10)+81=0
3x + 10 + 81 = 0
3x + 91 = 0
3x = -91
x = -91/3
x = -30*1/3
Alice traveled 30 miles in 3 hours. What equation shows the relationship between
distance traveled (d), speed (s), and time taken (t)?
0 0 t = 300
() Od = 3t
» Os = 30t
() Os = 3t
0
30 = st
Equation shows the relationship between distance traveled (d), speed (s), and time taken (t) is:
[tex]s = \frac{30}{3}\\\\s = 10\ miles\ per\ hour[/tex]
Solution:
Given that,
Alice traveled 30 miles in 3 hours
To find: Equation shows the relationship between distance traveled (d), speed (s), and time taken (t)
The speed is given by:
[tex]Speed = \frac{distance}{time}[/tex]
From given,
Distance = d = 30 miles
Time = t = 3 hours
Therefore,
[tex]s = \frac{d}{t}[/tex]
[tex]s = \frac{30}{3}\\\\s = 10\ miles\ per\ hour[/tex]
Thus the equation is found and speed is calculated
Mark buys 6 notebooks for $9.Steven buys 4 notebooks of the same time for $6.Which of the following points is not on the graph of the relationship between notebooks and price?
Please help as soon as you can
Answer Choices:
F(3,4.50)
G(8,12)
H(7,10.50)
J(12,16)
Answer:
F, G, H
Step-by-step explanation:
$9/6 = $1.5
$6/4 = $1.5
The price is $1.50 per notebook.
Every point on the graph must have a y-coordinate that is 1.5 times the x-coordinate.
The function is y = 1.5x
F(3,4.50) 3 * 1.5 = 4.5 Yes
G(8,12) 8 * 1.5 = 12 Yes
H(7,10.50) 7 * 1.5 = 10.5 Yes
J(12,16) 12 * 1.5 = 18 No
a checking account earns 2.5% simple interest.how much would be earned by an account with $3,400 in after 3 years
Answer:
Step-by-step explanation:
$3,400*2.5%*3=$255
To calculate the simple interest on $3,400 at a 2.5% interest rate over 3 years, the formula I = P imes r imes t is used, which results in $255 of interest earned in that period.
To calculate the simple interest earned by a checking account with $3,400 at a 2.5% annual interest rate over 3 years, we use the formula for simple interest:
I = P times r times t
where:
I is the interest earnedP is the principal amount (initial amount of money)r is the annual interest rate (as a decimal)t is the time the money is invested or borrowed for, in yearsLet's plug in the values:
I = $3,400 times 0.025 times 3
I = $85 times 3
I = $255
So, the account will earn $255 in simple interest over 3 years.
What are the terms of this arithmetic series?
Answer:
[tex]a_1=7[/tex]
[tex]a_2=7\\a_3=10\\a_4=13\\a_5=16[/tex]
Step-by-step explanation:
The arithmetic series is [tex]S_{5}=\sum_{k=1}^5(1+3k)[/tex]
From the given series the general term of the series is [tex]a_k=1+3k[/tex]
When [tex]k=1[/tex], we substitute into the general formula to get:
[tex]a_1=1+3(1)=4[/tex]
When k=2, we get: [tex]a_2=1+3(2)=7[/tex]
When k=3, we substitute to get:
[tex]a_3=1+3(3)=10[/tex]
When k=4, we substitute to get:
[tex]a_4=1+3(4)=13[/tex]
When k=5, we get:
[tex]a_5=1+3(5)=16[/tex]
Answer:
a1= 4
a2=7
a3=10
a4=13
a5=16
s5=50
Step-by-step explanation
Does 133/9 equals seven
Answer:
No; 14.7777777 or 14.78
Step-by-step explanation:
133 divided by 9 = 14.7777777
this rounds to 14.78
Hope this helped! :)
Answer:
no it does not it is 14.777777778
What is the answer to -10x-1=11-9x
Answer:
Your goal here is to get x by itself
-10x-1=11-9x Add 1 to each side
-10x-1+1=11+1-9x
-10x=12-9x Add 9x to each side
-10x+9x=12-9x+9x
-1x=12 Divide each side by -1
-1x/-1=12/-1
x=-12
Hope this helps ;)
Lucy's age is a.
Jacob is eight year older than Lucy.
Half of Jayne's age is the same as Jacob's age.
How old is Jayne?
Answer:
a+8 x 2
Step-by-step explanation:
Lucy= a
Jacob= 8 + a
½ Jayne= Jacob or Jayne= 2 Jacob
½ Jayne= 8 + a
Jayne= (8+a)2
= 16 + 2a
a right rectangel prism has a height of 6.5cm a wudth of 8 cm and a legnth of 12.1 cm. what is the volume of the prism?
Answer:
The volume of the Prism=[tex]629.2cm^3[/tex]
Step-by-step explanation:
A right rectangle prism shape is that in which the faces of the prism are in the shape of a rectangle making it a cuboid.
Volume of a right rectangle prism= [tex]length*width*Height[/tex]
Given: length=12.1 cm
width=8 cm
Height= 6.5 cm
Putting the given values in the formula
Volume of the right rectangular prism:
[tex]=12.1cm*8cm*6.5cm\\\\=629.2cm^3[/tex]
The volume of the Prism=[tex]629.2cm^3[/tex]
What is the area of the triangle below
The area of a triangle is 1/2*base*height
If h=8, b=15, then we have 1/2*8*15 which is 1/2*120 which is 60
So the right choice is B
Hope this helped!
Recipe calls dor 1 3/4 cups of cheese. Only need to make 2/3 of recipe. How much cheese should be used?
[tex]1\frac{1}{6}[/tex] cups of cheese should be used for [tex]\frac{2}{3}[/tex] of the recipe.
Step-by-step explanation:
Given,
Quantity of cheese used in recipe = [tex]1\frac{3}{4}\ cups = \frac{7}{4}\ cups[/tex]
Recipe to made = [tex]\frac{2}{3}[/tex]
Quantity to use in [tex]\frac{2}{3}[/tex] of recipe = [tex]\frac{2}{3}\ of\ quantity\ required\ for\ full\ recipe[/tex]
Quantity to use = [tex]\frac{2}{3}*\frac{7}{4}[/tex]
Quantity to use = [tex]\frac{7}{6} = 1\frac{1}{6}\ cups[/tex]
[tex]1\frac{1}{6}[/tex] cups of cheese should be used for [tex]\frac{2}{3}[/tex] of the recipe.
Keywords: fraction, multiplication
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Q. You’re in charge of filling out the office supply purchase orders for your company. If you need 20,000 sheets of paper, and one ream of paper equals 500 sheets, where will you get the best deal?
Answer: answer is C
Step-by-step explanation:
Answer:
Sales Warehouse
Step-by-step explanation:
Is the time is takes you to run a 100-meter race function of the speed you run?
Answer:
Step-by-step explanation:
The simple answer is "yes".
The reason is that Distance = Speed (Velocity) * time taken.
d = v*t
Given that the distance is fixed, the velocity and time become inversely related such that an increase in velocity will mean that the distance is covered in a shorter time while an increase in time will mean that the distance is covered at a slower velocity.
x - y - 2z = 4
-x + 3y - z = 8
-2x - y - 4z = -1
The point is a solution to the system shown.
The point to the system of solution is (3, 3, –2).
Solution:
Given equations are
x – y – 2z = 4 – – – – (1)
–x + 3y – z = 8 – – – – (2)
–2x – y – 4z = –1 – – – – (3)
Let us first eliminate x from 2 equations.
Add (1) and (2)
x – y – 2z – x + 3y – z = 4 + 8
⇒ 2y – 3z = 12 – – – – (4)
Multiply equation (1) by 2 and add with equation (3)
2x – 2y – 4z – 2x – y – 4z = 8 – 1
⇒ –3y – 8z = 7 – – – – (5)
Now, Multiply equation (4) by 3 and equation (5) by 2 and add them.
6y – 9z – 6y – 16z = 36 + 14
⇒ –25z = 50
⇒ z = –2
Substitue z = –2 in equation (4), we get
⇒ 2y – 3(–2) = 12
⇒ 2y = 12 – 6
⇒ y = 3
Substitute, z = –2 and y = 3 in equation (1), we get
⇒ x – 3 – 2(–2) = 4
⇒ x – 3 + 4 = 4
⇒ x + 1 = 4
⇒ x = 3
Hence the point to the system of solution is (3, 3, –2).
Answer:
(3, 3, –2).
Step-by-step explanation:
Witch of these items are you most likely to buy with an installment loan ?
A. A couch
B. Groceries
C. A calculator
D. School books
The item most likely to be bought with an installment loan is A. A couch, as installment loans are used for significant purchases paid over time. Groceries, calculators, and school books are generally less expensive and paid for upfront.
The question posed is, "Which of these items are you most likely to buy with an installment loan?" The correct answer is A. A couch. Installment loans are typically used for larger purchases that require payment over time. These include items such as furniture, cars, and appliances.
On the other hand, groceries (B), calculators (C), and school books (D) are generally more affordable and are usually paid for upfront rather than through installment loans. Installment loans often come with interest, making them more suitable for more expensive items that cannot be paid for in full immediately.
It is essential to carefully consider the necessity and the ability to repay before taking out any loan, especially for substantial purchases like a couch, to avoid financial strain.
A platinum nugget weighs 3 1/2 ounces. How many 1/4 ounces prices can be cut from nugget?
Answer:
14
Step-by-step explanation:
3 1/2 ounces is equal to:
7/2 or 14/4
14/4 is 14 quarter ounce chunks
A total of 14 pieces each of weight 1/4 ounce can be cut from the platinum nugget.
What is Scale factor?
Scale factor is defined as the rate at which one dependent quantity varies with an independent one. Mathematically : y = Kx can be written as -
y is K times larger than x.
Given is a platinum nugget whose weight is 3 1/2 ounces.
Assume that 3 1/2 ounces is equivalent to K times of 1/4 ounces.
Now, we can write - 3 1/2 = 7/2
Therefore, we can write the relation as follows -
7/2 = K/4
K = 7/2 X 4
K = 14
Therefore, a total of 14 pieces each of weight 1/4 ounce can be cut from the platinum nugget.
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If 1 1/4 kg sugar cost 2.25, find the cost of 3 1/4 kg of sugar
Step-by-step explanation:
because 1 kg is worth 2 is 1/4 is worth .25
so multiply 2 by 3 and add 1/4
good luck hope this helps.
Answer:
cost of [tex]3\frac{1}{4}[/tex] kg sugar is [tex]5.80[/tex]
Step-by-step explanation:
Converting the quantity of sugar from mixed fraction to proper fraction
[tex]1\frac{1}{4} =\frac{(1*4)+1}{4} =\frac{5}{4}[/tex]
Cost of [tex]\frac{5}{4}[/tex] kg of sugar= 2.25
Cost of 1 kg of sugar [tex]2.25*\frac{4}{5} \\=0.45*4\\=1.80[/tex]
similarly, [tex]3\frac{1}{4} =\frac{(3*4)+1}{4}=\frac{13}{4}[/tex]
So, the cost of [tex]\frac{13}{4}[/tex] kg of sugar is
[tex]\frac{13}{4}*1.80 \\=5.80[/tex]
cost of [tex]3\frac{1}{4}[/tex] kg sugar is [tex]5.80[/tex]
At 10:00a.m ,pharaoh leaves his office traveling by car to deliver a book to Valerie. He stopped to eat lunch for two hours , and then returned directly to his office , arriving at 2:00pm. If Pharaohs rate going was 60mph and the rate returning was 20 mph, how far is it from pharaohs office to Valerie’s?
30 m
Step-by-step explanation:
Step 1 :
Let x be the distance traveled.
Speed taken while going is given as 60mph.
Hence time taken for the onward journey =x/60
Speed for the return journey is 20mph
Hence time for the return journey is x/20
Step 2:
Total time is from 10 m to 2 pm. Deducting the 2 hours taken for lunch, time spent for the onward and return journey is 2 hrs
=> X/60 + x/20 = 2.
Solving for x we get x = 30
Hence the distance between the office and Valerie's is 30 m
xavier sells homemade necklaces for a profit of $22 per necklace. he is considering switching to a new type of pendant that will increase his profit, as expressed by the function y=29x, where x is the number sold and y is the amount of profit. how many more dollars will xavier earn on each necklace if he switches to the new material?
Answer:
29 dollars each
Answer:
$7 more
Step-by-step explanation:
According to the question, Xavier sells homemade necklaces for a profit of $22 per necklace .
Now, he’s considering switching to a new type of pendant that will increase his profit as expressed by
y = 29x
Where x = number sold and
y = amount of profit
From the expression, if he sells one necklace made with the new type of pendant ,
y = 29 x 1
= $29
Remember he makes $22 per necklace already .
$ earns if he switches to the new pendant = $29 - $22
= $7
He’ll earn $7 more if he switches to the new material
what is seven tenths of 180?
A vertical wheel with a string around it
What is the following sum?
4 sq root 5+2 sq root 5
will mark brainliest
Answer:
6 sq root 5
Step-by-step explanation:
Answer:
6sqrt(5)
Step-by-step explanation:
Both of these expressions are a number times the square root of 5. By definition, we can simply add the coefficients as these are like terms.
Diego scores 9 point less than Andre in the basketball game. Noah scores twice as many points as Diego. if Noah
Answer:
Andre scored 14 points in the game.
Step-by-step explanation:
Question :
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If
Noah scored 10 points, how many points did Andre score?
Given:
Diego scored 9 points less than Andre in the basketball game.
Noah scored twice as many points as Diego.
Noah scored 10 points
To find Andre's points.
Solution:
Let Andre's score be = [tex]x[/tex] points
Then, Diego's points will be = [tex](x-9)[/tex] points
Noah's points will be = [tex]2(x-9)[/tex] points
Noah's points given = 10 points.
Thus, the equation can be given as:
[tex]2(x-9)=10[/tex]
Solving for [tex]x[/tex].
Dividing both sides by 2.
[tex]\frac{2(x-9)}{2}=\frac{10}{2}[/tex]
[tex]x-9=5[/tex]
Adding 9 both sides.
[tex]x-9+9=5+9[/tex]
∴ [tex]x=14[/tex]
Thus, Andre scored 14 points in the game.
The score of Andre and Diego is 14 and 9 points, respectively.
Given information:
Diego scores 9 points less than Andre in the basketball game.
Noah scores twice as many points as Diego.
Noah's score is 10 points.
Let x be the score of Diego.
So, the score of Andre will be x+9 and that of Noah will be [tex]2x[/tex].
Compare Noah's score to get the value of x as,
[tex]2x=10\\x=5[/tex]
So, Diego's score is 5 points.
Now, the score of Andre will be calculated as,
[tex]x+9=5+9\\=14[/tex]
Therefore, the score of Andre and Diego is 14 and 9 points, respectively.
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What is log 81 base 3
Answer:
4
Step-by-step explanation:
log_3 (81)
set equal to x
log_3 (81) = x
saying this out loud is "x equals 3 raised to what power is 81"
notice that it is the same as
3^x = 81
so x equals 4