Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
I think it might be C...
Joey wants to save up enough money to buy a new baseball bat that costs $200. He already has $50. If Joey makes $40 per week, write an inequality that represents the number of weeks (w) until he will have enough money?
Answer:
50+40w=200
Step-by-step explanation:
200-50=150
150 divided by 40=3.75 so 3 1/2 weeks
Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag on the days after it was bought. How many ounces of food were in the bag 24 days after Andre bought it?
Answer:
There were 16 ounces of Cat Food after 24 days.
Step-by-step explanation:
From the graph attached,
For an ordered pair (x, y) lying on the graph,
x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.
Now the value x = 24 on x-axis shows the number of days since the bag was bought.
For x = 24, ounces of cat food in the bag ( y ) = 16 ounce
Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.
16 ounces of cat food was in the bag, on 24th day
Given : The y axis represents dependent variable ie the 'ounces of cat food' , and x axis represents independent variable ie 'days since bag was bought'
To find : Value of y ie ounces of food - on a particular value of x ie days since bag bought , we draw a straight vertical line from value of x to the curve & correspond it to y axis.
From x = 24, if we draw a straight vertical line to the graph - it touches the point ( x,y ) = (24, 16). Extending it further to y axis, we get value of y ie 'ounces of food' = 16
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Point S is the _ of UT?
Answer:
VStep-by-step explanation:
SV is correct because it is the same
length of UT. You can check by using
your fingers to check the length of
UT then turn the picture around to
see if it is equal.
Hope this helps! <3
Answer:
S is the midpoint of UT
Step-by-step explanation:
US = ST -----> from the picture
So, S is the mid point
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms. b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
This question is Incomplete
Complete Question
The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.
a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
Answer:
a. 8.85kg of flour is left.
b. 2.95 bins
Step-by-step explanation:
The bakery bought 4 bags of flour containing 3.5 kg each.
Total kg of flour the Bakery bought : 4 × 3.5kg
= 14 kg of flour
0.475 kg of flour is needed to make a batch of muffins
1 batch of muffin = 0.475kg of flour
4 batches of muffins = ???
Cross Multiply
4 batches × 0.475kg/ 1 batch
= 1.9kg of flour was used.
0.65 kg is needed to make a loaf of bread.
1 loaf of bread = 0.65kg of flour
5 loaves of bread = ???
Cross Multiply
5 loaves × 0.65/1 loaf
= 3.25 kg of flour.
Total kg of flour used = 1.9kg + 3.25kg
= 5.15kg of flour.
The amount of flour left = 14kg - 5.15kg
= 8.85kg of flour is left.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?
3 kg of flour is stored = 1 bin
8.85 kg of flour is stored = x
Cross Multiply
3kg × x = 8.85kg × 1 bin
x = 8.85 kg × 1 bin/3kg
x = 2.95 bins
Which method represents a correct way to solve the equation?
-x+(-3+x)2 = 6
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OA.
Square -3.
Square x.
Subtract -7x from both sides.
OB. Subtract 9 from both sides.
Take the square root of both sides.
Square -3.
Square x.
Combine like terms
OC. Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OD
Square the quantity (-3 + x).
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Answer:
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Step-by-step explanation:
Given:
-x (-3 + x )2 = 6
-x (-3 + x )2 = 6
-x (-6 + 2x) = 6
-6x + 2x^2 = 6
2x^2 - 6x - 6 = 6 - 6
2x^2 - 6x - 6 = 0
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Find the slope from the table
Answer:-4/1
Step-by-step explanation:
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER
Step-by-step explanation:
Here you go, I tried my best
cheers
The original fraction is [tex]\frac{4}{8}[/tex]
Let the numerator = a
Let the denominator = b
Denominator is 4 larger than the numerator: b = a + 4
2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2
The algebraic equation from the given statement is formed as follows;
[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]
The original fraction is calculated as follows;
[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]
Thus, the original fraction is [tex]\frac{4}{8}[/tex]
Learn more here: https://brainly.com/question/16889590
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
Answer:
3 5/18
Step-by-step explanation:
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal.
= 5 1/2 cups of oatmeal
Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week.
= 4/9 cup of oatmeal for a week
Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
5 1/2 - 5( 4/9)
11/2 - 20/9
= L.C.M of the denominators = 18
= 9 × 11 - 20 × 2/28
= 99 - 40/18
= 59/18
= 3 5/18
The best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week is
3 5/18 cups of oatmeal
Answer:
Step-by-step explanation:
2 1/2 is the answer
2. A train starts its journey with 240 passengers.
144 of the passengers are adults and the rest are children.
(a) Write the ratio Adults: Children in its lowest terms.
[2]
(b) At the first stop, 37 % of the adults and of the children get off the train.
20 adults and x children get onto the train.
The total number of passengers on the train is now 200.
(i)
How
many children got off the train?
(ii)
How
many adults got off the train?
[1]
(iii) How many adults passengers are on the train as it sets off again? [1]
(iv) What is the value of x?
[1]
Answer:
i=52
ii=32
iii=54
iv=92
Step-by-step explanation:
Comment if you need explanation
Answer:
A. 3:2
B. 31 children
(i). 35 children
(ii) 53 adults
(iii) 111 adults 89 children
(iv) The value of x is 35.
Step-by-step explanation:
NEED HELP PLEASE IM BEGGING YOU !!!!!
I NEED HELP WITH 6 AND 7 PLEASE
Answer:
6. is H
7. is B
Explanation:
the communitive property states that if: a+b=c, then b+a=c
if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10
Find the measurement of PQ. Assume the drawings are not drawn to scale
Answer:
25.7 cm
Step-by-step explanation:
Please send an answer quick I really need it the picture is above.
Answer:
-132
Step-by-step explanation:
When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.
If there are 40,075 km around the whole world, how many km will you drive if you went around the whole world 5 times?
Answer:
200,375
Step-by-step explanation:
just multiply 40,075 by 5
If a = 8 in and b = 15 in what is the length of leg c in a right triangle using the
pythagorean theorem?
See attachment for math work and answer.
what is (3,0) reflected on the y-axis
Reflecting across the y axis, the x value becomes opposite and the y value remains the same.
(3,0) becomes (-3,0)
Answer:
(-3, 0)
Step-by-step explanation:
There is the same amount of units from either side of the y-axis to the points.
Is (1,1) a solution to this system of inequalities
Question 3 of 10
What is the slope of the line given by the equation below?
y + 2 = -3(x-5)
A. -5
B. 3
C. -3
D. 2
Given the function f(x) = 7x + 2, find x when f(x) = 31.
0
Plz help
Answer:
x = [tex]\frac{29}{7}[/tex]
Step-by-step explanation:
Given f(x) = 7x + 2 and f(x) = 31 then equate the right sides
7x + 2 = 31 ( subtract 2 from both sides )
7x = 29 ( divide both sides by 7 )
x = [tex]\frac{29}{7}[/tex]
Please answer this.. please
Leo the Rabbit
Leo the Rabbit is climbing up a flight of 10 steps. Leo can only hop up 1 or 2 steps each time he hops. He never hops down, only up. How many different ways can Leo hop up the flight of 10 steps? Provide evidence to justify your thinking.
Can someone provide an answer and explain. Thanks
Answer:
2?
Step-by-step explanation: because he can hop them one step at a time or two steps at a time
i need help plz thank you
Answer:
8 times blank = 48
Good luck!!!
For each value of x, determine whether it is a solution to x - 42 = 7.
Answer:
67- No 46-No 49-Yes 47-No
Step-by-step explanation:
Hope this helps!
Answer:
67...No
46...No
49...Yes
47...No
Step-by-step explanation:
x - 42 = 7
Add 42 to both sides
x = 49
13 PLS TELL ME THE EQUATION AND HOW TO SOLVE IT WITH THE ANSWER
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This triangle should be 180 degrees.
So you should add 80 and 45 and subtract it from 180 to get x.
Y=9x+2x please help, i don't know how to
do this stuff
Answer: I hope you understand, just mutiply whatever x is by 11 to get Y
Step-by-step explanation:
x = unknown number
9x+2x= 11x
Y=11x
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
The value of (-1728)+ V324 is
if anyone could help that'd be great! :)
Answer:
Option 2
Step-by-step explanation:
Step 1: Translate
"a number" = x
"product" means multiply
"-2/3" = -2/3
"is" means equal
"-9/10" = -9/10
Step 2: Set up equation
-2/3x = -9/10
Step 3: Solve for x
Divide both sides by -2/3: x = 27/20Simplify: x = 1 7/20