Answers
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
Related Questions
Find the equation of this line
Answers
Answer:
y = x+6
Step-by-step explanation:
You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.
Use the coordinates of these points to find the slope of the line.
slope = (7-6)/(1-0) = 1
y-intercept = 6
Slope-intercept equation for line of slope 1 that has y-intercept of 6:
y = x+6
What is the next term in this pattern 10, 8.9, 7.8, 6.7
Answers
Answer:
5.6
Step-by-step explanation:
You just have to keeps subtracting 1.1
Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answers
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
To learn more about the function;
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describe the graphs of x + 3y = 6 and 2x + 6y = 12
Answers
Explanation:
x + 3y = 9
2x + 6y = 12
First you check if the two equations are compatible, that is
if they are parallel, they must not intersect.
Parallel means they have the same slope, given by dy/dx in general, and in the case of linear equations by the ratio of the y coefficient to that of x, that is 3 for the first equation, and 3 for the second. Since these two equations are parallel, they are multiple of each other. Now where these straight lines intersect the axis y = 0, that is the x-axis, is the constant term on the right hand side. Try it
Put y = 0 you get x = 9, for the first equation, and y = 0, x = 6 for the second equation, This is geometrically impossible, and therefore algebraically too. So this problem has no solution
Explanation:
If I'm wrong or That I missed The Question and just missed read it then My Answer Might have been wrong correct me or sumn If Im wrong
(｡づ’▽’｡)づ♡ #CarryOnLearning
Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answers
Answer:
Left 3 down 4 is the correct answer so C
Answer:
B. right 3, down 4
Step-by-step explanation:
Numbers A set of 25 two digit numbers are listed below.
10 17 20 23 24 28 32 39 42 45 46 52 55
58 61 65 66 72 75 78 79 85 94 97 98
Choose one of these numbers at random. Find the probability of the following results.
The sum of the number's digits is odd??
Answers
Answer:
14/25
Step-by-step explanation:
The probability that the sum of the number digits is odd is 13/ 25.
What is probability?Probability is the possibility of the outcome of any random event.
We have,
Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98
We have to see the number whose sum is odd.
10 = 1 + 0 = 1 (odd)
17 = 1 + 7 = 8 (even)
20 = 2 + 0 = 2 (even)
23 = 2 + 3 = 5 (odd)
24 = 2 + 4 = 6 (even)
28 = 2 + 8 = 10 (even)
32 = 3 + 2 = 5 (odd)
39 = 3 + 9 = 12 (even)
42 = 4 + 2 = 6 (even)
45 = 4 + 5 = 9 (odd)
46 = 4 + 6 = 10 (even)
52 = 5 + 2 = 7 (odd)
55 = 5 + 5 = 10 (even)
58 = 5 + 8 = 13 (odd)
61 = 6 + 1 = 7 (odd)
65 = 6 + 5 = 11 ( odd)
66 = 6 + 6 = 12 (even)
72 = 7 + 2 = 9 (odd)
75 = 7 + 5 = 12 (even)
78 = 7 + 8 = 15 (odd)
79 = 7 + 9 = 16 (even)
85 = 8 + 5 = 13 (odd)
94 = 9 + 4 = 13 (odd)
97 = 9 + 7 = 16 (even)
98 = 9 + 8 = 17 (odd)
We see that there are 13 numbers whose sum is odd.
The probability that the sum of the number digits is odd:
= 13 / 25
Thus the probability that the sum of the number digits is odd is 13/ 25.
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Solve B/3= 18
Please help
Answers
Answer:
[tex]b=54[/tex]
Step-by-step explanation:
Solve for [tex]b[/tex] by simplifying both sides of the equation, then isolating the variable.
Hope this helps :)
-ilovejiminssi♡
Answer:
B=54
Step-by-step explanation:
B/3=18
B=18×3
so, B=54
Ans
Are the following ratios equivalent
16:48 and 112:336
Answers
Answer:
Yes
Step-by-step explanation:
How much of a pizza does each person get if you divide half a pizza among three people?
Answers
Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
Answers
given f(x)=(x+5),findf(9)
0C.-196
Which expression shows a sum of three terms?
I will give the brainliest to the person so please answer!
A: 3x
B: 3+x
C: 3+x+9
D: x^3
Answers
Answer:
c shows 3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Has three different terms.
Can someone please work out both problems, I need help with my math hw due in 4 hours
Answers
Answer:
I hope this helps
Step-by-step explanation:
This is not the same exact question but it shows you the throw down.
A+B+C= 180
so if A=60 and B=70
The sin is= 8
so 60+70= 130
130+c=180
130-180= 50
C=50
PLEASE HELP! WILL GIVE BRAINLIEST
f(x) = {___ for ___
{___ for ___
Answers
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]
Step-by-step explanation:
We observe that the left line segment has a rise of 3 for each run of 1. Its slope is ...
m = rise/run = 3/1 = 3
It goes through point (-2, 4), so its equation can be written ...
y = m(x -h) +k . . . . line with slope m through (h, k)
y = 3(x +2) +4 . . . . fill in known values
y = 3x +10 . . . . . . . simplify — equation of left line
__
The right segment has a rise of 2 for each run of 1. Its slope is ...
m = 2/1 = 2
Then the equation of the line through point (4, 1) is ...
y = 2(x -4) +1
y = 2x -7
__
Taking into account solid and open circles, the equation for the function is ...
[tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]
What is the definition of Spike protein?
Please helppp
Answers
Answer: a glycoprotein that protrudes from the envelope of some viruses (such as a coronavirus) and facilitates entry of the virion into a host cell by binding to a receptor on the surface of a host cell followed by fusion of the viral and host cell membranes
What is the value of x? (5 points)
A right angle is shown divided into two parts. The measure of one part of the right angle is 10 degrees. The measure of the other part is 2x
Answers
The angle is broken into to parts, 10 degrees and 2x.
90 = 2x + 10
Subtract 10:
80 = 2x
Divide by 2:
x = 40
Please solve and explain how you got your answer! I will give BRAINIEST to the right answer and explained best.
(Picture)
Answers
Answer:
6.28
Step-by-step explanation:
C=2πr=2·π·1≈6.28319
Hope this helps ;)
If 18% of your Biology class received an A, how many students were in your Biology class if 9 students earned an A for the semester?
Answers
Answer:
50 students
Step-by-step explanation:
hope this helps, have a great day!
Snack Packets
Number
Cost
($)
2
1.60
3
2.40
5
4.00
8
6.40
Answers
Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?
Answers
Answer:
1 1/5 cups of soda.
Step-by-step explanation:
To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.
I hope this helps you :D
Multiply Binomials
(x + 3)(2x + 1)
Answers
Answer: 2x^2 + 7x + 3
Step-by-step explanation:
(x+3)(2x+1)
(2x^2+1x+6x+3)
2x^2 + 7x + 3
The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.
Answers
Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
find the values of x and y in the diagram
Answers
Answer:
y=2, x=3
Step-by-step explanation:
We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3
Determine the correct value of 3x + 2 when x = 5. Show your work
Answers
Answer:
17
Step-by-step explanation:
3 multiply by 5 (which is x) = 15+2
The value of function 3x + 2 at x = 5 will be 17.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The function is,
⇒ 3x + 2
And, The value of x = 5
Now,
The value of the function 3x + 2 at x = 5 is find as;
The function is,
⇒ 3x + 2
Substitute x = 5 in above equation as;
⇒ 3x + 2
⇒ 3 × 5 + 2
⇒ 15 + 2
⇒ 17
Thus, The value of function 3x + 2 at x = 5 will be 17.
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SPEED, DISTANCE AND TIME
please please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! emergency will give thanks
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answers
Answer:
1. Speed = 18 miles per hour
2. The distance is 280 miles.
3. The average speed is 52.5 miles per hour.
4. The time to arrive in Leeds would be 11.50 am.
5. Time = 500 s (8 minutes 20 seconds)
6. speed = 48 miles per hour
b. time taken = 6 hours 40 minutes
Step-by-step explanation:
1. Distance = 90 miles and time = 5 hours
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{90}{5}[/tex]
= 18
average speed of the cyclist is 18 miles per hour.
2. speed = 70 mph, and time = 4 hours
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
= 70 x 4
= 280 miles
The distance is 280 miles.
3. distance = 315 miles, and time = 6 hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{315}{6}[/tex]
= 52.5
The average speed is 52.5 miles per hour.
4. distance = 210 miles, and speed - 90 mph.
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{210}{90}[/tex]
= 2 hours 20 minutes
The time to arrive in Leeds would be 11.50 am.
5. distance = 2000 m, and speed = 4 m/s.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{2000}{4}[/tex]
= 500 s
It would take the athlete 500 s (8 minutes 20 seconds) to cover the distance in the given speed.
6. distance = 420 miles, and time = 8 hours 45 minutes
But, 8 hours 45 minutes = 8[tex]\frac{3}{4}[/tex] hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{420}{8\frac{3}{4} }[/tex]
= 420 ÷ [tex]\frac{35}{4}[/tex]
= 420 x [tex]\frac{4}{35}[/tex]
speed = 48 miles per hour
(b) distance = 420 miles, speed = 63 mph.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{420}{63}[/tex]
= 6 hours 40 minutes
time taken = 6 hours 40 minutes
can you gys help me with this, please with work on how to do them
Answers
Answer:
1a. 16
1b. 106
Not sure about the rest
Step-by-step explanation:
A recipe includes 9 cups of flour and three fourths
cup of milk. Write the ratio of the amount of flour to the amount of milk as a fraction in simplest form
Answers
Answer:
12/5
Step-by-step explanation:
9 : 3 3/4
9 : 15/4 change to improper fraction
36/4 : 15/4 LCD, 4
36 / 15 compare
12 / 5 reduce
P(t) =8000(1.08)^t
What is the year the population reaches 11755
Answers
Answer:
Step-by-step explanation:
Your answer
P(t) = 8000(1.08)^t= 11755
.. ..... (1.08)^t= 1.469375
........ t = 5
Mark it as Brainlist answer. Follow me.
In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.
Answers
Answer:
y = 7x - 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 7
y-intercept b = -8
Step 2: Write Function
Substitute in parts.
y = 7x - 8
(4 + [8 = 4 X (3 - 1)] X 3) + 1
Answers
Answer:
29
Step-by-step explanation:
(4+[8=4x(2)]x3)+1
(4+[8=8]x3)+1
(4+[8x3])+1
(4+24)+1
28+1
29
