In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180​

Answers

Answer 1

Answer:

the answer is B on ed2020

Step-by-step explanation:

for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.

so you have soda = 180 cal and juice = 130 cal

if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct

Answer 2

Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories

How to solve Linear Programming problems?

Let the calories in one serving of milk be x

Let the calories in one serving of juice be y

Let the calories in one serving of soda be z

Thus, for Joe, equation to show amount of calories is;;

2x + y + z = 530    -----(1)

For Darius, equation to show amount of calories is; ;

x + 2y = 370     ------(2)

For Marian, equation to show amount of calories is;

3x + z = 510    ------(3)

Using matrix calculator online to calculate this 3 equations, we have;

x = 110 calories.

Read more about Linear Programming at; https://brainly.com/question/23414950

#SPJ2


Related Questions

This is for IXL
The floor of a round hut has a radius of 2 yards. What is the floor's area?
Use 3.14 for ​.

Answers

Answer:

Step-by-step explanation:

Hey, hope you're having a great day. :)

The floor of the round hut suggests that this is a cylinder, so.

Lets assess the formula.

A = 3.14 x r^2

A = 3.14 x 2^2

A = 3.14 x 4

A = 12.56.

Hope this helps!

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x + 2y = 4

Answers

Answer:

y= -x+2

Step-by-step explanation:

Equation for this is y=mx+b. we just need to move the x to the other side divide by 2 and we get our answer.

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute? rev/min

Answers

Answer: The wheel make 315 complete revolutions in one minute

Step-by-step explanation: Given speed of convertible =45 miles/hr

To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d

3.14 x 48

C = 150.72 inches

Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.

Answer: it’s 315.3

Step-by-step explanation: A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute?

rev/min

RAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. A. How much will the trip cost the Kaplan family at the per person rate? B. How many people must be on the river trip to make the flat rate less expensive than the per person rate?

Answers

Answer:

(a) $16.25

(b) 7

Step-by-step explanation:

Rent of 1 raft for 1 day= $10

So, rent for 1 raft for half-day=10/2=$5

Charge for 1 person for half-day river trip =$15

Flat rate for half-day river trip=$200

(a) There is 4 member of the Kaplan on the trip.

One raft can hold up to 10 people, so, they need to take 1 raft on rent.

Rent of 1 raft for half-day =$5

Charge for 4 persons for half-day river trip =$15x4=$60

Total cost for the half-day trip for 4 persons=5+60=$65

Cost for half-day trip for 1 person= $65/4=$16.25

(B) Let there are n peoples on the river trip.

For the number of people up to 10, they need to take one boat on rent.

Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)

=5+15n.

Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)

=5+100

The condition for which the flat-rate cost is less expensive than the per person rate cost is

[tex]5+100<5+15n[/tex]

[tex]\Rightarrow 100<15n[/tex]

[tex]\Rightarrow n>\frac{100}{15}[/tex]

[tex]\Rightarrow n>6\frac{2}{3}[/tex]

As n is the number od person which cant be a fractional value, so

n=7,8,9,... or [tex]n\geq7[/tex]

So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.

Solve the absolute value equation.
(2x – 1) = 15

Answers

Answer:

Hello there!^^

Step-by-step explanation:

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

Remove the parentheses Add 1 to both sidesSimplify Divide both sides by 2Finally, you simplify again

~~~~~~~~~~~~~~~~~~~~~~~~~~~

→ 1. 2x-1=15

→ 2. 2x=15+1

→ 3. 2x=16

→ 4. x = 16/2

→ 5. x = 8

Answer: x = 8

Hence, x would equal to 8 (eight)

Your fellow brainly user: xCherryxUwU

#Thanks!

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

Given that 7 is a zero of h(x)=x^3-7x^2-3x+21, find the other zeros.

Answers

Answer:

x= 7    x = ±√3

Step-by-step explanation:

h(x)=x^3-7x^2-3x+21

Factor by grouping

h(x) = x^2( x-7)  -3 (x-7)

Factor out an (x-7)

h(x) = (x-7)  ( x^2 -3)

Using the zero product property

0= (x-7)  ( x^2 -3)

x-7 =0     x^2 -3 =0

x=7     x^2 =3

x= 7    x = ±√3

In this polygon, which angle is an interior angle?




Answers

Answer:

B° is the interior angle

Step-by-step explanation:

An interior angle is an angle that is formed when two sides of a polygon share an endpoint. Therefore, B° is the interior angle because it is formed when the two sides of the polygon shown share the same endpoint.

Answer:

The correct answer would be

Step-by-step explanation:

"Interior" means "inside". Angle B° is the only one on the inside of the shape.

A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

103 m

Step-by-step explanation:

A pole, its shadow and a tower with its shadow form similar right triangles

Let the tower be x m tall

Then as per similarity we have the ratio of corresponding sides:

47.75/1.53 = x/3.3x = 3.3*47.75/1.53x = 103 m rounded to nearest meter

PLEASE HELP! WILL MARK BRAINLIEST - What is 2(n+1)?

Answers

Answer:

I hope that this helps... (2n-1)

Step-by-step explanation:

1)If n is a natural number, (2n-1) is an odd number for n greater or equal to 2 .

2) Is n is a whole the number the same thing applies but the range of n just has its vertex at -1.(Odd integer)

3)If n is any integer, then the range is all integers from -Infinity to +Infinity.(Odd integer)

4)If n is any complex number, n can be represented in the form of e^i thetha (Euler’s form) but nothing can b e commented on whether it is odd or even.

5)If n is any real number the range of this data can be from -Infinity to +Infinity, nothing can be commented on whether the number is odd or even.

I’m confused on what the answer is. Can anyone help me and explained it?

Answers

Answer: B. 4/5 cups.

Step-by-step explanation:

Ratio number of--> chocolate chips : dozens of cookies made

                           -->               4           :           5

The question ask for 1 dozen of cookies. In the ratio above, it states for 5 dozens of cookies.

Our new ratio would be:

Chocolate chips: dozens of cookies made

                    x     :         1

we turn the 5 in the right side of ratio by dividing by 5 so we must do the same for other side of ratio by dividing 5 with 4.

x=4/5

hence answer is B. 4/5 cups

...to be honest the question si worded the best but i assume this is what it means.

John pays for a Disney annual pass each month. He was charged $150 as a down payment, and each month he pays $28. Create an equation to represent the total cost, y of his annual pass. What is the y-intercept?​

Answers

Equation: y= 28x +150
Y-intercept: 150

-6x-2y=9 what is the slope

Answers

Answer:

[tex]\huge\boxed{m=-3}[/tex]

Step-by-step explanation:

The standard form:

[tex]Ax+By=C[/tex]

The slope-intercept form:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

METHOD 1:

[tex]m=-\dfrac{A}{B}\\\\-6x-2y=9\to A=-6;\ B=-2\\\\m=-\dfrac{-6}{-2}=-3[/tex]

METHOD 2:

[tex]-6x-2y=9[/tex]

convert to the slope intercept form:

[tex]-6x-2y=9\qquad|\txt{add}\ 6x\ \text{to the both sides}\\\\-2y=6x+9\qquad|\text{divide both sides by (-2)}\\\\y=-3x-4.5\to m=-3[/tex]

Use the equation y=3.2x + 5 to fill in the table.

Answers

Answer:

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?

Answers

Answer:

1 km

Step-by-step explanation:

if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km

Asap, please answer correctly will mark brainliest if correct

Answers

Answer:

no solutions

Step-by-step explanation:

-3(x-20)=5-3x

-3x+60=5-3x add 3x to both sides

60=5 not true

no solutions

Answer:

no solution

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x−20)=5−3x

Step 1: Simplify both sides of the equation.

−3(x−20)=5−3x

(−3)(x)+(−3)(−20)=5+−3x(Distribute)

−3x+60=5+−3x

−3x+60=−3x+5

Step 2: Add 3x to both sides.

−3x+60+3x=−3x+5+3x

60=5

Step 3: Subtract 60 from both sides.

60−60=5−60

0=−55

(1 x 1,000,000) + (7 x 1,000) + (2x1,000) + (9 x 100)

Answers

Answer: 1,009,900

Step-by-step explanation:

Answer:

that equals to= 9901.1

Step-by-step explanation:

i added and multiplyed all of that

Greg earned $25 after
mowing lawns for 3
hours. How much will
he earn after 7 hours
at the same rate ?

Answers

he will make 58.1 more in 7 hrs

Answer:

58.50$

Step-by-step explanation:

Factorise this : 2p²-p-10

Answers

Answer:

Step-by-step explanation:

p(2p-1)-10

Josie runs 3 miles and burns 252 calories. How many calories does she burn in 1 mile?J HELPP PLZ

Answers

Answer: 84

Step-by-step explanation: 252 divided by 3 = 84

Answer:

Josie can lose 84 calories

Explanation:

If she can run 3 miles and lose 252 calories, 254/3 or 252 divided by 3 equals 84

-1/8(2h+4)+1/2= -7/4 ​

Answers

Answer:

h=7

Step-by-step explanation:

need help quick, please and thank tou

Answers

Answer: C

Step-by-step explanation:

2. MONEY Lars and Peter both have the
same amount of money in their wallets.
They went to the store together and
decided to buy some cookies, splitting
the cost equally. After buying the
cookies, do they still have the same
amount of money in their wallets? What
property is relevant to help you decide?

Answers

After buying the cookies, they both lost money but still share the same balance because in the question it says they went to the store together and decided to buy some cookies, splitting they cost equally, Key word Equally. since they spent the same amount as one another they still share the same balance.

Someone please help..

Answers

Answer:

ITS J because the Mlimeters are suppose to be on the other side

Step-by-step explanation:

find the sum. 2/5 + 1/2​

Answers

2/5 + 1/2

4+5 / 10 • look for the LCD of 5 and 2
which is 10 then 5 goes 2
times into 10 the multiply by 2
= 4. Then 2 goes 5 times into
10 then multiply by 1 = 5.

Therefore the sum of 2/5 + 1/2 =9/10

Answer:

9/10 NINE OVER 10

Step-by-step explanation:

To add two fractions they must be over a common denominator, which for this problem is  10. To put each fraction over a common denominator we must multiply each fraction by the appropriate form of  1. 2/5 + 1/2 ( 2/2 X 2/5 ) +  (5/5 X 1/2 ) --> 4/10 + 5/10

We can now add the numerators of the two fractions over the common denominator: 4/10 + 5/10 ---> 4+5/10 ---> 9/10.

Hope this helps! I know what does though, marking me brainliest.

(THE QUESTION IS AT THE PHOTO)

Answers

im not sure this is the answer you are looking for but

45 can be 90 and 27 can be 108

27*2 is 54

27*3 is 81

27*4 is 108

Answer: 45 = 90

27 = 108

Step-by-step explanation: A multiple is the result of multiplying the number by any integer.

Multiply 45 by 2 and you get 90 which fits between 85 and 110.

Multiply 27 by 2, but it only reaches 54 which doesn’t fit. Multiply 27 by 3 and you get 81, which still doesn’t fit between 85 and 110. Lastly, try multiplying 27 by 4 which gives you 108. This fits between 85 and 110!

Hope this helps, feel free to ask any further questions.

there are 24 students in first period. on a math test five eights of the standard and 90 or better how many students only 90 or better

Answers

The answer is 15 because 24 divided by 8 is 3 and you have 5/8 so you multiply 3 and 5 to get the outcome of 15:)

(2) Un recién nacido tiene alrededor de 26,000,000,000 células. Un adulto tiene unas 4.94 x 1013células. ¿Cuántas veces tiene un adulto que un recién nacido?

Answers

Answer:

54

Step-by-step explanation:

thetvdjsvahchcbdsbh

Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
a) x^2+6.8^2
b)3.8+6.8^2=x^2
c)3.8+x^2=6.8^2
d)3.8^2-x^2=6.8^2

please help i will give brainliest :)

Answers

Answer:

[tex]equation \: for \: pythagorean \: theorem \: is \: \\ {3.8}^{2} + {6.8}^{2} = {x}^{2} [/tex]

Answer:

3.8² + 6.8² = x²

Step-by-step explanation:

see attached

Express your answer in scientific notation.

Answers

Answer:

14.4 × 10^13

Step-by-step explanation:

.........

If Ill m, solve for x and y.
(7x -23)
49°
(3x)
(11y – 1)

Answers

Answer:

[tex] x = 18 [/tex]

[tex] y = 5 [/tex]

Step-by-step explanation:

49° + (3x)° = (7x - 23)° (corresponding angles)

[tex] 49 + 3x = 7x - 23 [/tex]

Collect like terms

[tex] 49 + 23 = 7x - 3x [/tex]

[tex] 72 = 4x [/tex]

Divide both sides by 4

[tex] \frac{72}{4} = x [/tex]

[tex] 18 = x [/tex]

[tex] x = 18 [/tex]

(3x)° = (11y - 1)° (corresponding angles)

Plug in the value of x and solve for y

[tex] 3(18) = 11y - 1 [/tex]

[tex] 54 = 11y - 1 [/tex]

Add 1 to both sides

[tex] 54 + 1 = 11y [/tex]

[tex] 55 = 11y [/tex]

Divide both sides by 11

[tex] \frac{55}{11} = y [/tex]

[tex] 5 = y [/tex]

[tex] y = 5 [/tex]

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