Answer: -4
Step-by-step explanation:
The common ratio of the geometric sequence [tex]19, -76, \ 304, \ ...[/tex] is [tex](-4)[/tex] .
What is geometric sequence?Geometric sequence also known as a geometric progression, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. i.e. [tex]r=\frac{a_{k+1} }{a_{k} }[/tex]
What is common ratio ?Common ratio the number which is multiplied (or divided) at every stage of a geometric sequence.
We have,
Geometric sequence [tex]19, -76, \ 304, \ ...[/tex]
Here,
[tex]a_{1} =19, \ a_{2} =(-76), \ a_{3} =304[/tex]
So,
[tex]r=\frac{-76}{19}[/tex]
[tex]r=(-4)[/tex]
So,
Common ratio of the given geometric sequence is [tex](-4)[/tex] .
Hence, we can say that the common ratio of the geometric sequence [tex]19, -76, \ 304, \ ...[/tex] is [tex](-4)[/tex] .
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Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:
• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5
• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?
• Jenny will be serving milk with the meal. She plans on using 8 oz. glasses. How many gallons of milk does she need to make sure everyone gets one glass of milk?
Answer:
The answer is below
Step-by-step explanation:
a) The recipe for the meat loaf used by Jenny can serve a total of 8 people. Since there are 40 people in total to serve, the number of each ingredient needed is:
Number of each ingredient = total number of people / number of people served by one recipe
Number of each ingredient = 40 / 8 = 5
b) Since each recipe contains 1 1/2 lb (1.5 lbs) of ground beef, the total amount of ground beef needed to feed everyone is:
Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs
c) Since one serving would require 8 oz of milk. To serve everyone, the amount of milk needed is:
Amount of milk = 40 people * 8 oz = 320 oz
128 oz = 1 gallon
Amount of milk = 320 oz * 1 gallon / 128 oz = 2.5 gallon
The quantity of the recipe needed for a given number of people is found
by a multiple of the recipe for 8 people.
First question: The number with which to multiply the ingredient is 5.Second question: The amount of ground beef needed is 7.5 lbs.Third question: The number of gallons of milk needed is 2 gallons.Reasons:
The total number of people at the party = 40 people
The number of people the recipe serves = 8 people/recipe
First question:
The number Jenny should multiply the ingredient to make enough for everyone is [tex]\mathbf{\dfrac{40 \ people}{8 \, people \, per \, recipe}} = 5 \times Recipe[/tex]
Therefore;
To make enough meat loaf for everyone, Jenny should multiply each ingredient by 5.
Second question:
The amount of ground beef required = [tex]1\frac{1}{2}[/tex] lbs.
Amount of ground beef required for everyone = 5 × [tex]\mathbf{1\frac{1}{2}}[/tex] lbs = 7.5 lbs.
Third question:
The volume of each glass of milk Jenny is serving = 8 oz.
The number of glasses of milk Jenny need = 40 glasses
The volume of the 40 glasses = 40 × 8 oz. = 320 oz.
Volume of one gallon (imperial) = 160 fluid ounce = 160 oz.
Therefore;
320 oz = 2 × 160 oz. = 2 × 1 gallon = 2 gallons
The number of gallons of milk Jenny needs to make sure everyone gets
one glass of milk is 2 gallons of milk.
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Please help me I need this right now like righttttt nowwwww
Answer:
B. is the answer
hope this helps
have a good day
Step-by-step explanation:
The answer is y = 3x + 8, therefore it is B. Have a nice day.
What goes in the missing spaces? Help me plz
Answer:
6 | 3
30 | 15
40 | 20
56 | 28
Step-by-step explanation:
You need to find out how many spring rolls will feed a single person
[tex]\frac{6}{3}=2[/tex]
then use this to multiply by two if you want number of rolls, or divide by two if you want to get number of people that can be fed.
help!!!
Calculate tan(4π3).
No links !!
No spams!!
Answer:
4 pie 3 so 4 times pie times 3
Step-by-step explanation:
pls answer I'll mark brainliest the question is in the picture also please explain how you solved
Answer:
D) 36π[tex]a^6b^9[/tex]
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
Given:
r = 3a²b³
Work:
V = 4/3πr³
V = 4/3π(3a²b³)³
V = 4/3π(27[tex]a^6b^9[/tex])
V = 36π[tex]a^6b^9[/tex]
i need 3, 4, 5 pretty peaseeeee
Answer:
2. 7/4
3. D
4. -25/77
5. -3
Step-by-step explanation:
(no files!!)Write an equation that can be used to find the nth term of the sequence, an. 80, 105, 130, 155, 180, ... Enter your answer by filling in the boxes. an =__n +__
Answer:
The equation is
an=25n+55
Helppppppppp, pleaseeeee
Answer:
∠A+∠B+∠C =180°
∠A+∠C +90°=180°
∠A+∠C=90°
Consider the equation below 4(x-4)+6x=14
Answer:
x = 3
Step-by-step explanation:
Given
4(x - 4) + 6x = 14 ← distribute and simplify left side
4x - 16 + 6x = 14
10x - 16 = 14 ( add 16 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
What is the minimum unit cost? Do not round your answer.
Will give brainiest if correct!Please help(• ◡•)
Which of the following statements is NOT true?
El interior de un tanque que contiene agua, tiene una presión manométrica de 300 kPa. ¿Qué profundidad tiene el tanque de agua?
Respuesta:
30,6 metros
Explicación paso a paso:
Dado :
Presión = 300 Kpa
Usando la fórmula que relaciona la presión y la profundidad:
Presión = profundidad * aceleración debida a la gravedad * densidad del agua
Densidad del agua = 1000 kg / m³
Presión = 300Kpa = 300 * 10 ^ 3 Pa
300 * 10 ^ 3 Pa = profundidad * 9,8 * 1000
300000 = profundidad * 9800
Profundidad = 300000/9800
Profundidad = 30,612
Profundidad = 30,6 m
what is the square root of 3.14159283886535
Answer:
1.772453851 is the square root
Step-by-step explanation:
hope it helps
Answer:
1.77245390317
Step-by-step explanation:
Hope this helped!!!!
Which of the following shows the sample space for spinning the spinner one time?
Answer:
There are two colors and 8 numbers.
One color is represented by 3 numbers 2, 3, 7
The second color is represented by 5 numbers 1, 4, 5, 6, 8
P(color 1) = 3/8P(color 2) = 5/8Find the area to this figure please help
Answer:
the area of the circle is 25π or about 78.54 yards
Step-by-step explanation:
Area of circle=πr^2, r being radius
r=5
5^2=25
25π≈78.54 yards
hello please help thanks
Answer:
the last one: wind
One Saturday morning you ride your bike to your cousin's house 10 miles across town. It takes you an hour and a half to get there. What is your speed in mph?
Answer:
Speed calculator lets you determine an average speed of any object. ... However, when you take the time to think about it, you don't see the ... relative to the max speed of the car, but when you ride a bike with the ... hour (kph) or in miles per hour (mph), and on airplanes and ships we usually use knots (kn). Answer 8.5 mph
Step-by-step explanation:
Answer:
8.5 mph
Step-by-step explanation:
There are 78 calories in 3 ounces of frozen yogurt. How many calories are in 8 ounces of frozen yogurt?
Answer: 208 calories.
Step-by-step explanation:
To find the answer, first find out the number of calories in one ounce of frozen yogurt:
= 78 / 3
= 26 calories
One ounce of frozen yogurt contains 26 calories.
If there are 8 ounces therefore, the number of calories would be:
= Yogurt * calories per yogurt ounce
= 8 * 26
= 208 calories.
Trent has $500 in his savings account. If he spends $25 each week, how much money will he have left after 8 weeks? Explain
Answer:
300
Step-by-step explanation:
25×8= 200 spent
500-200=300 left
Answer:
=> $300
Step-by-step explanation:
here's your solution
=> Amount of money Trent has = $500
=> Amount spent by him in one week = $25
=> Amount left with him after 8 weeks =
= $500 - ($25*8)
=> $500 - $200
=> Amount left = $300
hope it helps
when using substitution to solve this system of equations, what is the result of the first step?
Food provides not only energy but also other important nutrients such as (3)?
Answer:
Step-by-step explanation:
Nutrients also provide building blocks for repair, growth, and regulates substance that effect chemical processes
PLEASE I WILL MARK BRAINLIEST IF WORK SHOWN WITH IT
1/3(n+1) + 2 = 1/6(3n-5)
Answer:
n=19
Step-by-step explanation:
Calculate each unknown side length.
Round your answer to the nearest tenth.
Answer:x=6.6 y=12
Step-by-step explanation:
Please help ASAP! I rlly need it :(
Answer:$6
Step-by-step explanation:
8x6=48
6x6=36
48+36=84+4=88
Answer:
D. $6
Step-by-step explanation:
I'm going to call the cost of each clothing item x.
Kenisha bought a total of 14 items (8 + 6) at the price of x. She also bought a $4 toy. The total was $88.
14x + 4 = 88 is the math sentence/equation for that ^ bunch of words.
14x + 4 = 88
subtract 4 from both sides
14 x = 84
divide both sides by 14
x = 6
Each piece of clothing cost $6
Please let me know if you have questions.
4, 11, 6, 9, 23, 34, 6, 19
What is the median for this set of numbers?
ОА 6
O
B. 10
Oc 14
O D. 16
Answer:
the answer is c
Step-by-step explanation:
Answer:
Hi! The answer to your question is B. 10
Step-by-step explanation:
[tex]4,6,6,9,11,19,23,34[/tex]
[tex]= 10[/tex]
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Your mother decides to join a yoga class. The initial fee is $60,
and a $2 fee for each class. Write an equation in slope-
intercept form modeling this situation, then use it to find out the
total cost if your mother takes 12 classes.
$ .00
Answer:
60 paid once and 2 dollars paid per class 60+2x=amount paid
60+2(12)
60+24
$84
Step-by-step explanation:
How do I simplify this?
Step-by-step explanation:
The given question is wrong, so first of all we have correct this one.
The answer is given in picture, u can look.
I think this one is help u
which is the midpoint of the segment that joins (3, 6) and (5, -2)?
Answer:
(4,2), I think
Step-by-step explanation:
Use the midpoint formula for this question (x1+x2/2, y1+y2/2). In this case, x1 would be 3 and x2 would be 5. 3+5=8, and 8/2 is 4. Similarly, y1 would be 6 and y2 would be -2. 6+(-2)=4, and 4/2= 2. So, the midpoint would be (4,2)
Here we want to find the midpoint of a segment that joins (3, 6) and (5, -2).
The midpoint is: (4, 2)
For two general points (x₁, y₁) and (x₂, y₂) the midpoint of the segment that joins these two points is:
[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )[/tex]
Here we have the points (3, 6) and (5, -2), using the above formula we get:
[tex](\frac{3 + 5}{2} , \frac{6 + (-2)}{2} ) = (\frac{8}{2} , \frac{4}{2} ) = (4, 2)[/tex]
Concluding, the midpoint of the segment that joins (3, 6) and (5, -2) is (4, 2)
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Simplity each expression using the distributive property.
1. 6(3x -4)
Suppose you own 100 shares of stock. It pays $1 per share in dividend. How much will you
receive every quarter?
Answer: $25
Step-by-step explanation:
You own 100 shares of the stock and it pays $1 per share as dividend.
Amount of dividends you receive will therefore be:
= 100 * 1
= $100
Dividends are however, quoted on a yearly basis. The quarterly dividend received would be:
= 100 / 4 quarters
= $25