Answer:
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of mg of sodium in 1 oz of chips.
y is the number of mg of sodium in a cup of soda.
Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.
This means that:
[tex]5x + y = 650[/tex]
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
[tex]x + 5y = 250[/tex]
From the first equation:
[tex]y = 650 - 5x[/tex]
Replacing in the second
[tex]x + 5(650 - 5x) = 250[/tex]
[tex]x + 3250 - 25x = 250[/tex]
[tex]25x = 3000[/tex]
[tex]x = \frac{3000}{25}[/tex]
[tex]x = 120[/tex]
[tex]y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50[/tex]
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Which ordered pairs are solutions to the inequality y-2x less than or equal to -3
Answer:
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Step-by-step explanation:
try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.
A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has _______ energy.
Answer:
This cinder block has gravitational potential energy.
This cinder block has 15 484 joules of potential energy
Step-by-step explanation:
PE = mass*gravity*height and g= 9.8 m/s^2
PE = 79 * 9.8 * 20
PE = 15 484
Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):
Does this equation have exactly one solution
Answer:
[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]
if f(x)=4x-2/3 what would f(a+3) be
Answer:
it will look like this 4(a+3)-2/3
Step-by-step explanation:
look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve
Answer:
Step-by-step explanation:
Id..k how to help u sorry
Hiiii a little help here plz !!!!
well you see I'm supposed to answer this with 20 character so my bad for the long response, but I'd go with C
List all the positive even numbers less than 10:
Answer is
2, 4, 6, 8
Does this equation have a solution?
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above
2. Read "Lisa's Garden" and answer the question.
Lisa needs to determine the perimeter of her garden so she will know
how much fence she will need to build. What is the perimeter of Lisa's
garden in feet (ft)?
A
30 ft
B
38 ft
C.
120 ft
D
608 ft
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.
Person 2 worked for 200 minutes and checked 1,325 comments every 5 minutes
Answer: 33.125
Step-by-step explanation:
So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.
Write the polynomial that has factors of -15 and 3.
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
If RS = x + 2 and ST = 2x, what is ST?
Answer:
ST = 2x
Step-by-step explanation:
if not please elaborate on the question.
Which type of tax is income tax?
Answer:
B.) Progressive
Step-by-step explanation:
Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.
help pls. with explanation
Answer:
the answer is infinity....
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
f(x)=10x^2-5x-3, evaluate f(-3)
Answer:
f(-3)= 10(-3)^2 - 5(-3) - 3
=90 + 15 -3
f(-3) = 102
Step-by-step explanation:
Do the ratios
4
7
and
1
5
form a proportion?
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?
Answer:
153
Step-by-step explanation:
The formula is 3 mL of A to 5 mL of B.
Let's say the chemist uses just the numbers in the formula.
Add 3 mL of A to 5 mL of B.
3 mL + 5 mL = 8 mL
The chemist ends up with 8 mL of the drug.
He really want 408 mL.
408 mL is how many times greater than 8 mL?
408/8 = 51
He needs to use 51 times the numbers in the formula.
51 * 3 mL of A + 51 * 5 mL of B =
= 153 mL of A + 255 mL of B
= 408 mL of the drug
Answer: 153
Mary decided she will run every 3rd day and play
tennis every 5th day. How many days until she will
run and plays tennis on the same day?
Answer: the 15th day
Step-by-step explanation:
Skip count by both numbers until you reach the first number they have
in common;
3, 6, 9, 12, 15, 28, 21, 24, 27, 30
5, 10, 15, 20, 25, 30, 35, 40
Y=arccos(1/x)
Please help me do them all! I don’t know derivatives :(
Answer:
sorry bro I even don't know coz I am class 7
Three
consecutive
inirgers
17
The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is
150 inches, find the dimensions.
True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies
Answer:
true
Step-by-step explanation:
England claimed the colonies, so they ruled over them.
Please help me help please help me please help please
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Which of these a example
Answer:
D`
Step-by-step explanation:
The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)
lolol lfeofviponvfnfuibouigb
Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?
3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg
The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data
The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.
Reason:
The given least-squares regression line equation is presented as follows;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)
Required:
The value of the fuel efficiency for a speed of 60 mph.
Solution:
The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x
Where, in the current question, we have;
[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)
a = The y-intercept = 1.437
b = The slope = 0.541
x = The input value = ln(speed)
When the speed = 60 mph, we have;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816
Therefore;
[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]
The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon
Learn more here:
https://brainly.com/question/14341438
Answer:
the person above me is correct.
Step-by-step explanation:
1:2 is equivalent to 200
Answer:
Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2
Meaning:
The Part is 1/2 of the Whole
Step-by-step explanation:
22/7 - 4/7
A)2
B)2 4/7
C)2 5/7
D)3
Answer:
None of the option is correct.
The right answer is 18/7 or 2.57
Step-by-step explanation:
Tara has 3 dogs and 4 cats.
The dogs have a mean weight of x kg.
The cats have a mean weight of y kg.
Write down an expression, in terms of x and y, for the mean weight of all 7 of Tara's pets.