Answer:
First term a₁ = 3/2 and common ratio r = 2
Step-by-step explanation:
We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96
Since common ratio is required so, the sequence is geometric sequence
The formula used is: [tex]a_n= a_1r^{n-1}[/tex]
We are given: third term = 6 i,e
[tex]a_3=a_1r(3-1)\\6=a_1r^2----eq(1)[/tex]
Seventh term = 96
[tex]a_7=a_1r(7-1)\\96=a_1r^6----eq(2)[/tex]
Dividing eq(2) and eq(3)
[tex]\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}[/tex]
So, Common Ratio r = 2
Finding First term using eq(1)
[tex]a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}[/tex]
So, First term a₁ = 3/2 and common ratio r = 2
Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips, if each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can make?
Answer: 11 batches of muffins
Step-by-step explanation:
From the question, we are given the information that Jim is baking chocolate chip muffins and that he has a total of 7 1/3 cups of chocolate chips, and each batch of muffins uses 2/3 of a cup of chocolate chips.
The most number of batches of muffins that Jim can make will be gotten by dividing 7 1/3 by 2/3. This will be:
= 7 1/3 ÷ 2/3
= 22/3 ÷ 2/3
= 22/3 × 3/2
= 11
Jim can make 11 batches of muffins.
What is the slope of the line graphed
Explain answer
GIVING BRAINIEST
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line
m = [tex]\frac{6-0}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
Answer:
The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].
Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10
Answer:
7
Step-by-step explanation:
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer:
7 notebooks
Step-by-step explanation:
The total for the nine will be 9.73 I’d you get 8 notebooks it will be 11.12 with us too much.
please help me please
Answer:
42
Step-by-step explanation:
4x + 2 = 1/2 (4x + 44) Be careful how you do this. I have multiplied both sides by 2
2(4x + 2) = 4x + 44 Remove the brackets (distributive)
8x + 4 = 4x + 44 Subtract 4x from both sides
8x-4x + 4 = 44
4x + 4 = 44 Subtract 4 from both sides
4x + 4-4 = 44-4
4x = 40 Divide by 4
4x/4 = 40/4
x = 10
The mid line is 4x + 2
The mid line is 4*10 + 2
The mid line is 40 + 2
The mid line is 42
The base is 4x + 44
The base is 4*10 + 44
The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.
Use the Distributive Property to expand the expression you obtained in part B.
The expression is 2(100 − x).
Answer:
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
Answer:
2(100 − x)
Distribute the 2:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
Mark me brainliest please?
what is the measure of ABC?
Answer:
ABC = 55°
Step-by-step explanation:
Angle A plus Angle C equals Angles B.
Add them together then subtract from 180°.
The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and the number of cars produced. A 2-column table with 5 rows. Column 1 is labeled x with Hours, x with entries 3, 5, 7, 9, 11. Column 2 is labeled Cars, y with entries 75, 125, 175, 225, 275. What is the domain of the function represented by the table? all real numbers x greater-than-or-equal-to 0 {3, 5, 7, 9, 11} {75, 125, 175, 225, 275}
Answer:its 3,5,7,9,11
Step-by-step explanation:i m pretty sure it's this one because I got it from briainly
Answer:
b
Step-by-step explanation:
i took the test and this was right
5star answer don't u think????
PLS HELP I GET EXTRA CREDIT AND EXPLAIN IN FULL DETAIL!!!!!
You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve an inequality that represents the numbers of peppers you can buy.
the inequality would be 18>1.5x
this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers
(3x - 2)
(10x - 11)
(3x + 1)
Solve for the value of x.
Answer:
1. 2/3
2. 11/10
3. 1/3
hope it helps
I need help pls !!!!
Answer:
angle 3 im prob wrong
Step-by-step explanation:
Factorise:x^2 + 7x + 10 =0
Answer:
x = − 5, − 2
Step-by-step explanation:
x² + 7x + 10 = 0
x² + 5x + 2x + 10 = 0
x(x + 5) + 2 (x + 5) = 0
(x + 5)(x + 2) = 0
x = − 5, − 2
-TheUnknownScientist
This table represents a linear function. Find the missing values to complete the table.
Answer:
(2,5) and (7,12.5)
Step-by-step explanation:
Solve for change in y over change in x using the points (3,13/2) and (6,11). You can then get the equation y=1.5x+2. Then plug in the values you are given from the missing points using the equation. Hope this helped! If it did, please mark the brainliest.
You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2 gallons of gasoline. Another car is red. It can travel 25 3/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Question:
You are running a fuel economy study. One of the cars you find is blue. It can travel [tex]44\frac{1}{2}[/tex] miles on [tex]1\frac{1}{4}[/tex] gallons of gasoline.
Another car is red. It can travel [tex]25\frac{3}{5}[/tex] on [tex]\frac{4}{5}[/tex] gallon of gasoline.
What is the unit rate for miles per gallon for each car?
Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
(a)
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]
[tex]Rate = 32\ miles\ per\ gallon[/tex]
(b)
The blue car will travel faster
Step-by-step explanation:
Given
Blue Car:
[tex]Distance = 44\frac{1}{2}\ miles[/tex]
[tex]Gasoline = 1\frac{1}{4}\ gallons[/tex]
Red Car
[tex]Distance = 25\frac{3}{5}\ miles[/tex]
[tex]Gasoline = \frac{4}{5}\ gallons[/tex]
Solving (a):
This is solved by dividing the distance travelled by the amount of gasoline.
i.e.
[tex]Rate = Distance/Gasoline[/tex]
Blue Car:
[tex]Rate = 44\frac{1}{2} / 1\frac{1}{4}[/tex]
[tex]Rate = \frac{89}{2} / \frac{5}{4}[/tex]
[tex]Rate = \frac{89}{2} * \frac{4}{5}[/tex]
[tex]Rate = \frac{89}{1} * \frac{2}{5}[/tex]
[tex]Rate = \frac{89 * 2}{1 * 5}[/tex]
[tex]Rate = \frac{178}{5}[/tex]
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]
Red Car:
[tex]Rate = 25\frac{3}{5}/\frac{4}{5}[/tex]
[tex]Rate = \frac{128}{5}/\frac{4}{5}[/tex]
[tex]Rate = \frac{128}{5} * \frac{5}{4}[/tex]
[tex]Rate = \frac{128 * 5}{5 * 4}[/tex]
[tex]Rate = \frac{128}{4}[/tex]
[tex]Rate = 32\ miles\ per\ gallon[/tex]
(b)
In (a), we have:
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex] --- Blue Car
[tex]Rate = 32\ miles\ per\ gallon[/tex] --- Red Car
By comparison:
The rate of the blue car is greater than that of the red
Hence, the blue car will travel faster
It is estimated that 18 out of every 25 shoppers between the age of 18 and 34 research purchases online before going to a store. What is this value written as a decimal?
Answer: 0.72
Step-by-step explanation:
Given: 18 out of every 25 shoppers between the age of 18 and 34 research purchases online before going to a store.
Fraction of shoppers between the age of 18 and 34 research purchases online before going to a store [tex]=\dfrac{18}{25}[/tex]
In decimal , [tex]\dfrac{18}{25}=\dfrac{18}{25}\times\dfrac{4}{4}=\dfrac{72}{100}=0.72[/tex]
Hence, this value written as a decimal = 0.72
PLEASE HELP ASAP
Which criteria can be used to prove triangles are congruent? Select all that apply.
A.) ASA
B.) AAS
C.) SAS
D.) SSA
E.) HL
Answer:
A, B, C, and E
Step-by-step explanation:
SSA doesn't work because this leaves room for two possible answers in some situations.
The other postulate, HL (hypotenuse-leg) works for right triangles; it's basically a short cut for SSS postulate because if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg on another, the other side also has to be congruent.
The criteria can be used to prove triangles are congruent: ASA, AAS, SAS and HL.
What is Congruence in Triangles?If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
Two triangles are said to be congruent if they are of the same size and same shape.
Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent.
Based on studies and experiments, there are 5 conditions for two triangles to be congruent.
They are SSS, SAS, ASA, AAS, and RHS congruence properties.
The postulate, known as HL (hypotenuse-leg), is applicable to right triangles.
As if a right triangle's hypotenuse and leg are congruent with those of another, then the other side must likewise be congruent.
Learn more about congruence of triangles here:
https://brainly.com/question/20521780
#SPJ5
68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal
Answer:
[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]
Step-by-step explanation:
[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]
please help! due soon :(
Answer:
60 degrees. Aaaaaaaaaa
A sporting goods store has 4 catchers mitts, 28 baseball gloves , 52 bats and 96 baseball in stock. What is the ratio of baseballs to baseball gloves
96:28
96 baseballs to 28 baseball gloves
Choose scales for the coordinate plane shown so that you can graph the points J(10, 5), K(20, 4), L(5, −5), M(−15, 2), and N(−15, −4). PLEASE QUICK I HAVE 15 mins
Answer:
x axis use 5 and y axis use 1
Step-by-step explanation:
5 on the x axis would make it big enough to fit up to 30 on both positive and negative sides. 1 on the y axis would fit 6 on both sides. this makes it big enough to fit all the coordinates
I WILL MARK AS BRAINLIEST!!!!
Answer:
1. 795, 23
2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins
3. $276, 71 cars
Step-by-step explanation:
1. your equation: y = 35x + 235
plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235
you get y = 795
for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x
your equation: 1024 = 35x + 235
solve to get x = 22.54
this rounds up to 23, so your answer is 23
2. multiply 8 times 4 to get 32
subtract 32 from 82 to fin how many she has left
you get 50
for the second part, divide 82 by 4 to find how many day it will take to finish her candy
you get 20.5
so no, she will not have candy to share with her cousins, and she will finish her candy on November 21
3. for this, you have a negative y intercept since you need to make $24 to start profiting
your equation: y = 6x - 24
plug in 50 to x: y = 6(50) - 24
you get y = 276
so you make $276 with 50 cars
for the second part, plug in 400 to y: 400 = 6x - 24
solve to get x = 70.66
this rounds up to 71, so your answer is 71
HELP! WILL MARK BRAINLIEST, PAST DUE!!!
Answer:
1/2 and - 1/2
Step-by-step explanation:
umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do
A) L (-8,8) and (0,4)M
m= 4-8/0-8
=-4/-8
= 1/2
B ) now for b its asking for the certain points of
n and p
(4,2) N and (8,0) P
m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope
these should be right.
Using the properties of real numbers ,prove that a<b and c<d= a+c<b+d
9514 1404 393
Explanation:
a < b . . . . . given
0 < b -a . . . . . addition property of inequality
c < d . . . . . given
0 < d - c . . . . . addition property of inequality
0 < (b -a) +(d -c) . . . . addition is closed for positive real numbers
a +c < b +d . . . . . addition property of inequality
Answer:
hello hope this pic helps
Write an expression
You charge $10.50 per hour to babysit and you spent $15 on
candy.
Answer:
10.50x + 15 = y
Step-by-step explanation:
x = amount of hours spent babysitting.
y = total amount of money.
HELP MEEEEEEEE PMEASE
In order!!!
Step-by-step explanation:
The value of all the angles in a triangle add up to 180.
So to find x do 180-(66+52)
The angle opposite of x is the same value as x
X+E or X+Z are both equal to 180.
10 less than 40% of a number is -4
Answer:
35
Step-by-step explanation:
4+10 = 14,
14 divided by 40% (0.4) = 35
HELLPPPPP
Write the equation y=-3/4x+2 in standard form.
Ms. Forestal is purchasing greeting cards in preparation for the upcoming winter holidays. At Store A she can get 3 greeting cards for $15.00. At Store B, she can get 6 greeting cards for $24. Which is the better buy?
Answer:
store B
Step-by-step explanation:
The product of 3 x is less than 9
ILL GIVE BRAINLIEST FOR CORRECT ANSWER. SUPER SUPER EASY.
determine which chart matchs which graph
only answer number 9
Answer:
B and F
Step-by-step explanation:
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
8.9x + 17.94
B.
8.9x + 1.66
C.
-2.84x + 17.94
D.
-2.84x − 1.66
Answer:
the answer is B
Step-by-step explanation:
