Answer: y=2x-8
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1. Plug the points in. You get 2 which is the m/slope. Then you plug that into y=Mx+b and then find the y isn’t with y=Mx+b and you get -8. Plug it all in and you get y= 2x-8
Answer:
y=2x-8
Step-by-step explanation:
6-0/7-4
6/3
x=2
4(-2)
y=-8
A school club uses a telephone chain to inform members of changes in plans. The club president calls 2 members, each of whom calls 2 members, and so on. The process must be repeated 5 times. How many members are in the club?
Answer:
63 members
Step-by-step explanation:
Since each person calls 2 persons each, there is an exponential increase of 2 for each level. Since it starts with the president as 1 person, and increases exponentially by 2 for each level of phone call, we have a geometric progression of first term, a = 1 and common ratio r = 2. Since the process of phone calls must be repeated 5 times, our last term is 2⁵. So, our geometric progression is 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵
We now sum the geometric progression
The sum of a geometric progression with r > 1 is
S = a(rⁿ - 1)/(r - 1)
substituting r = 2, a = 1 and n = 6 since we have 6 terms, we have
S = 1(2⁶ - 1)/(2 - 1)
= (64 - 1)/1
= 63
So, we have 63 members in the club.
We could have also found this by summing up individually the terms in the series. We have 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2 + 4 + 8 + 16 + 32 = 63
Isaiah wants to begin eating a more balanced diet. He thinks he should consume 2,000 calories each day. Recommended the percentage of carbohydrates, fats? And proteins he should consume. Also, tell Isaiah how many grams of each he should consume daily
Answer:
A balance diet is a healthy diet that contains different food intakes.
Step-by-step explanation:
A balance diet may be defined as a diet which contains different varieties of food in certain proportions and quantities so as supply the requirements of the body for proteins, vitamins, calories, minerals and nutrients. It is a healthy diet that helps to maintain and improve the overall health.
For a balance diet, a person needs to take proper amount pf carbohydrates, fats and proteins so that the body gets the required energy in terms of calories for the day.
In the context, Isaiah wishes to consumes 2000 calories of energy in one day for a healthy diet. So according to the United States government recommended diet for the consumption of 2000 calories per day, Isaiah should have 15% of protein, 30% of fat and 55% of carbohydrate. And in terms of gram, she should take 75 gram of protein (300 cal), 67 gram of fat (600 cal) and 275 grams of carbohydrates (1100 cal).
The Call First cell phone company charges $45 per month and an additional $0.24 for each text message sent during the month. Another cell phone company, Cellular Plus, charges $65 per month and an additional $0.23 for each text message sent during the month.
Answer:
2000
Step-by-step explanation:
Let [tex]x[/tex] be the total number of text messages sent per month in order for the plans to cost the same each month.
The first cell phone company, The Call, charges $45 per month and $0.24 per text message for the month.
So, the total cost as per the plan of The Call, for x text messages during the month, is
[tex]C_1= 45+0.24x\cdots(i)[/tex]
Another cell phone company, Cellular Plus, charges $65 per month and $0.23 per text message for the month.
So, the total cost as per the plan of Cellular Plus, for x text messages during the month, is
[tex]C_2= 65+0.23x\cdots(ii)[/tex]
As the cost for both the companies are the same, so, compute the number of text messages, x, during the month by equation [tex]C_1[/tex] and [tex]C_2[/tex] from equation (i) and (ii), we have
[tex]C_1=C_2[/tex]
[tex]\Rightarrow 45+0.24x=65+0.23x[/tex]
[tex]\Rightarrow 0.24x - 0.23x=65-45[/tex]
[tex]\Rightarrow 0.01 x = 20[/tex]
[tex]\Rightarrow x = 20/0.01[/tex]
[tex]\Rightarrow x= 2000[/tex]
Hence, there must be 2000 text message to be sent during the month in order to have the same cost from both the companies.
On Tuesday, Stinger Coffee sold 150 cups
of coffee. They sold 90 mochas and the rest
were cappuccinos. What percent of coffees
sold were cappuccinos?
Answer:
40%
Step-by-step explanation:
90 is 60% of 150 so that automatically makes the cappuccino 40%
The number 158,861 to 2 significant figures is?
Answer:
1.6x10^5
Step-by-step explanation:
moving decimal places 5 times to the left will give you an exponent of 5
1.6x10^5 has 2 sig figs (1 and 6)
comment your question if this is still unclear :))
Your Venmo account currently has a $48.00 balance.
Select one debit and two deposits that will result in a $100 Venmo balance.
Deposit of $50
Debit of $16
Debit of $9
Deposit of $25
Deposit of $43
A stray dog ate 30 of your muffins. That was 2/3 of all of them. How many are left?
How do unicellular organisms respond to their environment?
Answer:
Unicellular organisms sometimes move toward or away from things in their environment.
Step-by-step explanation:
Unicellular organisms can move in two distinct ways—movement and locomotion.
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? Do not include units (dolllars) in your answer. If you get stuck, consider using the table.
You found a unit rate that compares dollars earned per hours worked at the coffee shop.Is there another unit rate you could write for this relationship? What does that unit ratemean in the context of the situation? What is the related constant of proportionality?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I'll assume the following.
Unit Rate = $10 per 2 hours
Solving further, we have that:
1. Yes, there is another unit rate that can be written.
Unit Rate = $10 per 2 hours
Convert Rate to fraction
[tex]Unit\ Rate = \frac{\$10}{2\ hours}[/tex]
Divide numerator and denominator by 2
[tex]Unit\ Rate = \frac{\$5}{1\ hour}[/tex]
Simplify:
[tex]Unit\ Rate = $5/hour[/tex]
2. The unit rate implies that the earnings is $5 per hour
3. The constant of proportionality
Let y represent the earnings
x represent work hours.
We have:
[tex]y = kx[/tex]
Where k = constant of proportionality
In this case:
[tex]y = 10[/tex]
[tex]x = 2[/tex]
Substitute these values in [tex]y = kx[/tex]
[tex]10 = k * 2[/tex]
[tex]10 = 2k[/tex]
Divide both sides by 2
[tex]5 = k[/tex]
[tex]k = 5[/tex]
Hence: The unit of proportionality is 5
Apply the above steps in your question
When 9 is multiplied by a number, the result is 90.
Which equation fits this statement?
A
X-9 = 90
B
x=9= 90
9+ x = 90
9x = 90
9x = 90 is the answer of the question
0.1 + 0.3 please help on this.
Answer:
0.4
Step-by-step explanation:
[tex]0.1 + 0.3 = 0.4[/tex]
Answer:
0.4
Good Luck!!!
What is the out put?
Answer:
n+3
since output is always greater by 3
Step-by-step explanation:
y - 5 = - (x + 11) + 2
Answer:
y=-x-4
Step-by-step explanation:
(05.01)Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is _____ square inches.
Numerical Answers Expected!
Answer:
Step-by-step explanation:
24 square inches
. Can you make a quadrilateral with the side lengths, 6, 7, 8 and 20?
Answer:
no you cannot
Step-by-step explanation:
Solve the equation.
10n-100=6n
what is n
Please Help Me, it’s due soon!!! Picture is attached
( Please helppp will give brainliest and 100 points)
Answer:
6/7
Step-by-step explanation:
How many bars of soap are in each package?
Answer:
3 bars of soap in each packet Pls mark me brainliest
Step-by-step explanation:
A line with slope -3 passes through the points (5,2) and (9,y). Find y.
plz help!
Answer:
y is 10
Step-by-step explanation:
first take your imformation and put it into the y intercept from.
Which is y=mx+b
so take the cordinates (5,2) and put it into the y-intercept form.
the 5 is x and the 2 is the y, so
2=m*5+b
Then take the slope of -3 and put it in the y-intecept from
2=-3*5+b
then solve for b
2=-3*5+b
2=-15+b
+15 on both sides
17=b
now you know the equation of the line is
y=-3x+17
now plug in your x to find the y of that cordinate
on the line.
y=-3*9+17
solve
y=-3*9+17
y=-27+17
y=10
what is the next number 5, 10, 30, 60, 180, __
The answer is 360
Explanation:
5 x 2 = 10
10x3=30
30x2=60
60x3=180
180x2 = 360
Answer:
The answer is 360
Step-by-step explanation:
Because the pattern is x2, x3
so the next would be 360 and the next would be 1080
Trina and Jessie went on a vacation to Hawaii. Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level. Jessie went hang-gliding and reached an altitude of 87.9 meters, which is above sea level. Who is closer to the surface of the ocean?
Answer:
Step-by-step explanation:
LEt the surface of the ocean be at the zero level i.e at 0metres
If Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level, the distance between Trina and the sea level will be:
D = 0-(-85.6)
D = 0+85.6
D = 85.6m
If Jessie went hang-gliding and reached an altitude of 87.9 meters, the distance between Jessie and the sea level will be:
D = 87.9-0
D = 87.9m
Since the distance of Trina is less than that of Jessie, this means that Trina is closer to the surface of the ocean
Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 2° per hour. For the next 4 hours, it rose 1° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 59° at midnight.
I WILL GIVE BRAINLIEST JUST ANSWER PLS!!!
Answer:
The parameters given are arranged in a tabular form as follows;
At
Time Temperature
6 a. m. 56° F
7 a. m. 59° F
8 a. m. 62° F
9 a. m. 66° F
10 a. m. 70° F
11 a. m. 74° F
12 p. m. 74°F
1 p. m. 74°F
2 p. m. 74°F
3 p. m. 74°F
4 p. m. 74°F
5 p. m. 74°F
6 p. m. 74°F
7 p. m. 71°F
8 p. m. 68°F
9 p. m. 65°F
10 p. m. 62°F
11 p. m. 61.5°F
12 a. m. 61°F
With the above table as the data points, the graph can be drawn
From Excel, The Mean temperature is approximately 68.1°F
The standard deviation is 6.079 °F
ERROR ANALYSIS Describe the error in solving the equation
Х
2(x + 1)2 + 3 = 21
2(x + 1)2 = 18
(x + 1)2 = 9
x + 1 = 3
x = 2
You must subtract 1 from each side before taking the square root.
The was not used when taking the square root.
You must take the square root before dividing each side by 2.
You must take the square root before subtracting 3 from each side.
Answer:
HSA.REI.A.2. Practice some problems before going into the exercise. ... Solving square-root equations: one solution ... When I solve a square-root equation, what is it exactly what I'm finding? ... So, do all quadratic equations have extraneous solutions? ... sqrt(x-2)^2=sqrt(1) equal x-2 = +/-1 and not +/-(x-2) = +/-1
4)2 ?
Which of the following expressions is equivalent to (x
Answer:
2 is the equivalent to the expression
What is 5 x 100 + 3 + 10 + 8 x 0.1 + 9 x 0.009
Answer:
513.881
Explanation: (Credits to jessy276)
= 5*100+3+10+8*0.1+9*0.009
= 500+3+10+8*0.1+9*0.009
= 500+3+10+0.8+9*0.009
= 500+3+10+0.8+0.081
= 503+10+0.8+0.081
= 513+0.8+0.081
= 513.8+0.081
= 513.881
Answer:
The answer is 513.881
Step-by-step explanation
At a wedding reception, the guests have a choice of chicken or steak for dinner. Do
more people prefer chicken or steak? Do more people under 40 prefer chicken or
steak?
Chicken Steak
Total
Under 40
39
21
60
40 or older
34
31
65
Total
73
52
125
a) More people prefer chicken. Also, more people under 40 prefer chicken.
b) More people prefer steak. Also, people under 40 prefer steak.
c) More people prefer chicken. However, more people under 40 prefer steak.
O d) More people prefer steak. However, more people under 40 prefer chicken.
i
Answer:
i think its a
Step-by-step explanation:
Another store, Healthy Pets, sells dog food in 50-pound bags for $92.13 per bag. If one bag of food from Pets Galore costs $48.15, how much would Seth save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?
Answer:
$140.91
Step-by-step explanation:
50 pounds = 1 bag
150 pound bags = 150 ÷ 5
3 bags
Another store, Healthy Pets, sells dog food in 50-pound bags for $92.13 per bag.
1 bag = $92.13
3 bags = x
Cross Multiply
x = 3 × $92.13
$276.39
If one bag of food from Pets Galore costs $48.15
1 bag = $48.15
3 bags = x
x = 3 × $48.15
x = $135.48
The amount would Seth save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets is
$276.39 - $135.48
= $140.91
What is the solution: 4x - 1 = 10 + 4x
Answer:
0=11
Step-by-step explanation: