Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality: 110 < 2x + 10 and 2x + 10 < 310 Solve for x in this inequality, and explain what the answer represents.
Answer:
[tex]50<x<150[/tex]
Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.
So, Ryan's total carb intake must be between 50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:
[tex]110<2x+10\text{ and } 2x+10<310[/tex]
So, let's solve both inequalities.
1)
[tex]110<2x+10[/tex]
Subtract 10 from both sides:
[tex]100<2x[/tex]
Divide both sides by 2:
[tex]50<x[/tex]
2)
[tex]2x+10<310[/tex]
Subtract 10 from both sides:
[tex]2x<300[/tex]
Divide both sides by 2:
[tex]x<150[/tex]
So, our inequality is now:
[tex]110<2x+10\text{ and } 2x+10<310[/tex]
Since we solved the equations:
[tex]50<x\text{ and } x<150[/tex]
Written as a compound inequality, this is:
[tex]50<x<150[/tex]
In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.
So, Ryan's total carb intake must be between 50 and 150 carbs.
Answer:
110
Step-by-step explanation:
Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part B): Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then?
Answer:
a)$29.25
b)7hours
comments if you need an explanation
Answer:
Part A: 29.25
Part B: 7 hours
Step-by-step explanation:
Part A :
6.50 times 4.5 equal 29.25
Part B:
45.50 divided by 6.5 equal 7
hopefully this helps you :)
pls give me brainlest :)
?show that 33105 is divisible by 15?
Answer:
um 2207 times 15 is 33105
a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up
Answer:
Step-by-step explanation:
Erika: y = 35x + 100
Ly: y = 60x + 25
60x + 25 = 35x + 100
25x + 25 = 100
25x = 75
x= 3 weeks
Erika: y = $35(3) + 100= 105 + 100 = $205
Ly: 60(3) + 25 = 180 + 25 = $205
solve for the equation 2x+9=3x
A rectonale has an area of
36cm and width 3cm. Find it's perimeter.
Answer:
[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]
Area of a rectangle ( A ) = 36 cm²
Width of a rectangle ( w ) = 3 cm
[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :
Perimeter of a rectangle ( P ) = ?
First, finding the length of a rectangle ( l ) :
[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]
[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]
[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]
Length of a rectangle = 12 cm
Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm
[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]
[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]
Perimeter of a rectangle = 30 cm
Hope I helped!
Best regards! :D
Multiply
(3c-5d)(7c-20)
please help i’m doing a test
Answer: 21c + 100d
Hope this helps!
Answer:
21c^2-60c-35cd+100d
Step-by-step explanation:
use foil method
(3c-5d)(7c-20)
21c^2-60c-35dc+100d simplify
21c^2-60c-35cd+100d nothing to simplify here
2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2
Need help!!!!!!!!!!!!!
Learn with an example
The perimeter of a rectangular deck is 214 feet. It is 42 feet wide. How long is it?
Answer:
65 feet = L
Step-by-step explanation:
set up equation
P = 2L + 2W
plug in W
214 = 2L + 2(42)
multiply
214 = 2L + 84
subtract 84
130 = 2L
divide by 2
65 = L
where the digit 1 sits in this number.
712,662,522,097
Answer:
ten billionths place
Step-by-step explanation:
I need help on 27-30
PLEASE HELP ALGEBRA 2!!
Answer:
8- option 4
9- option 2
10-option 1
The amount of money invested in a retirement fund is an example of which of the following?
a investment asset
b. liquid asset
C. long term asset
d. use asset
Answer: A
Step-by-step explanation:
Your investing for your future so it will investment asset
4 = -8 - x What is x?
Answer:
2
Step-by-step explanation:
a negative x negative is always a positive
a negative x positive is negative
a positive x positive is negative
Answer:
x=-12
Step-by-step explanation:
4 = -8 - x
First, step +8 to get it to the other side of the question, then it will be 12 = -x
to get x move the negative to the other side x = -12
Can i have brainly please
what is 1/2x1/2+1/3+9/1
Answer:
9.58333333333
Step-by-step explanation:
if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.
Answer:
work is attached and shown
please don’t skip me i really need this answer
show all work
Answer: The answer is b
Step-by-step explanation:
5 x 5=? plz im dum lol
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
5 x 5 = 25
For f(x)=2x+1 and g(x)=x^2-7 find (og)(2)
Answer:
Step-by-step explanation:
g(2) = 2^2 - 7 = 4 - 7 = -3
f(-3)= 2(-3) + 1 = -6 + 1 = -5
Can anyone help me on this question?
SOMEONE PLS HELP ME ASAPPP: The odometer of a vehicle tells you how far it has traveled in its lifetime. The "trip odometer" can be reset at any time to tell you the length of a particular trip. Suppose the main odometer of a new car is at 467 miles and the trip odometer is at 22 miles. How many more miles do you have to travle before the main odometer is precisely two times the trip odometer?
Answer:
423 milesStep-by-step explanation:
x - the miles to travel
467+x - the main odometer after x miles travel
22+x - the trip odometer after x miles travel
2(22+x) - two times the trip odometer after x miles travel
2(22+x) = 467 + x
44 + 2x = 467 + x
- 44 -44
2x = 423 + x
-x -x
x = 423
Answer:
how far you've driven
Step-by-step explanation:
HELP ASAP my answer is B im pretty sure im wrong..
Change the fraction into a decimal
[tex] \frac{7}{100} [/tex]
Answer:
0.07
Step-by-step explanation:
Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
1/4(12+8x)
Answer:
3+2x
Step-by-step explanation:
Distribute the equation out.
1/4(12+8x)
(1/4*12)+(1/4*8x)
Multiple those out to get a new equation
3+2x
You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x
someone please help and also show work plz
Answer:
X= -50
Step-by-step explanation:
Subtract 7 from both sides then multiply by 5.
X/5 =-10
5 x -10 = -50
So x= -50
please give step by step instructions
2c+3=2c+3
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Subtract 2c from both sides.
2c + 3 − 2c = 2c + 3 − 2c
3 = 3
Step 2: Subtract 3 from both sides.
3 − 3 = 3 − 3
0 = 0
All real numbers are solutions.
All real numbers are solutions.
Step-by-step explanation:
Step 1: Subtract 2c from both sides.
2c + 3 − 2c = 2c + 3 − 2c
3 = 3
Step 2: Subtract 3 from both sides.
3 − 3 = 3 − 3
0 = 0
All real numbers are solutions.
Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.
Answer:
67
Step-by-step explanation:
Answer:
The mean absolute deviation is 1
Step-by-step equation =
Take all of the numbers and add them together.
4+1+2+1+0+1= 9
Then divide by how many numbers there are. In this word problem its 6.
Divide 9 by 6.
9 ÷ 6 = 1.5
So 1.5 would be our mean.
To find the mean absolute deviation subtract our mean and our original numbers.
1.5 - 4 = 2.5
1.5 - 1 = 0.5
1.5 - 2 = -0.5
1.5 - 1 = 0.5
1.5 - 0 = 1.5
1.5 - 1 = 0.5
Add all of those numbers together.
2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6
Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative
Divide by the amount of numbers you added.
6 ÷ 6 = 1
So the mean absolute deviation is 1
I also took the test that had 10 questions and got a 100
I'm pretty late to answer but hope this helps for others in the future
I learned this like a week or less ago so my explanation might not make the most sense.
What is 67840000000 in scientific notation ?
Answer:
6.784 × 10¹⁰
Step-by-step explanation:
→ First count the number of 0's
0000000 = 7 zero's
→ Count how many decimal places until a single digit
6.784 = 3 decimal places
→ Add the number of zero's with the decimal place's
7 + 3 = 10
6.784 × 10¹⁰
Answer:
6.784 times 10^10
Step-by-step explanation:
Hopes this helps :)
Can I pls get a brainliest
Is 0.625 greater than 0.75
Answer:
no
Step-by-step explanation:
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!
Answer:
6(2x+1) – 3 = 4x – 5
Firstly multiply
12x + 6 -3 = 4x-5
12x - 4x = -5-3
8x = -8
x =-1
The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =
Now the given equation is,
6(2x+1) – 3 = 4x – 5
So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,
12x + 6 – 3 = 4x – 5
or, 12x + 3 = 4x – 5
Taking alike terms together we get,
12x - 4x = – 5 - 3
Solving we get,
8x = -8
Dividing both side by 8 we get,
x = -1
which is the required solution of the given equation.
Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
To learn more about equations :
brainly.com/question/2273153
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