=
SYSTEMS
Solving a value mixture problem using a system of linear...
Somel
A delivery truck is transporting boxes of two sizes: large and small. The combined welght of a large box and a small box is 85 pounds. The truck is transporting
70 large boxes and 50 small boxes. If the truck is carrying a total of 5350 pounds in boxes, how much does each type of box weigh?

Answers

Answer 1

9514 1404 393

Answer:

large: 55 lbsmall: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

  (70x +50y) -50(x +y) = (5350) -50(85)

  20x = 1100 . . . . simplify

  x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

  55 +y = 85

  y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.


Related Questions

Find the slope of the line through the points (−18,−12) and (0,8).

Answers

Answer:

9/10

Step-by-step explanation:

y2-y1÷x2-x1

-18-0/-12-8

-18/-20

9/10

Answer:10/9

Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9



Linda is doing car wash with her teammates to collect money for their trip. They can

get $12 for the car that they wash. In order to start their work, they spent $155 to buy

supplies needed for the work.

Part A:

Create a function f(c) to represent the profit that they make for washing c cars.

f(c) =

(b)

Part B:

Use the function rule that you created on Part A to find the value of f '(145)

f-? (145)

Answers

9514 1404 393

Answer:

  (a) f(c) = 12c -155

  (b) f⁻¹(145) = 25

Step-by-step explanation:

(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...

  f(c) = 12c -155

__

(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...

  145 = 12c -155

  300 = 12c . . . . . . add 155

  25 = c . . . . . . . . . divide by 12

  f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145

Expresa los siguientes números sin potencia de base 10

Answers

Answer:

no se guey..... pero gudluc

Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!


a:-10
b:-6
c:6
d:10

Answers

The answer is d!!!!!

Answer:b

Step-by-step explanation:

f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)​

Answers

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

Rachel is driving to visit her mother, who lives 250 miles away. How long will the
drive be, round-trip, if Rachel drives at an
average speed of 40 mph?

Answers

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]

About 12.5 hours (hope this helps sorry if I’m wrong)

Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP

Answers

Answer: 22

Step-by-step explanation: 2x2 + x -41= -15

* 4 + x -41= -15

* x -37= -15

* x= 22

2 x 2 + x - 41 = -15

• carry over -15
2 x 2 + x - 41 + 15 = 0

• solve 2 x 2
4 + x - 41 + 15 = 0

• rearrange
x + 4 - 41 + 15 = 0

• solve
x - 22 = 0
x = 22

hope this helped :)

HELP I NEED TO PASS!!!!!

A. g(x) = 2x-1
B. g(x) = 2x + 1
C. g(x) = 2x –1
D. g(x) = 2x+1

Answers

It’s b and d ? Both of those equations are the same if u haven’t noticed

The graph of the function f(x) = 4 over 5 square root x is shown. What is the domain of the function?

Answers

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.

Can someone please help me?

Answers

Answer:

The Answer for your question is B

Answer:

78%

Step-by-step explanation:

They are asking for spotted animals and dogs so

Spotted animals=40%

Dogs=38%

So just add them to get 78%

(Don’t get confused by the 12% spotted dogs those are from the 38%)

Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?



Answers

1/3 + 7/15 =

4/5


Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.


Hope this helps!
So first find a common denominator.
It is 15. 1/3 turns into 5/15, because
3x5 = 15 & 5x1 = 5
There equaling 5/15
5/15 + 7/15 = 12/15
Both are divisible by 3
3 goes into 12, 4 times
3 goes into 15, 5 times
Giving you the final answer of 4/5

HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!

Answers

Answer:

x = 22 degree

Step-by-step explanation:

40 + 5x + 30 = 180 degree (being linear pair)

5x + 70 = 180

5x = 180 - 70

x = 110/5

x = 22 degree

The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?

Answers

Answer:

[tex]h(x) = \sqrt{x+5}[/tex], option C.

Step-by-step explanation:

The parent function is [tex]f(x) = \sqrt{x}[/tex]

Function h:

Function h is function f shifted left 5 units.

Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]

Thus:

[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]

The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.

Answer:

          c        

Step-by-step explanation:

Can someone answer with steps and explanation? Thanks.

Answers

Answer:

[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]

Step-by-step explanation:

Since Segment BOA is a diameter:

[tex]m\angle ACB=90[/tex]

Arc Ac and Arc CB are in a ratio of two to four. Since Segment BOA is a diameter, Arc ACB measures 180°. Letting the unknown value be x, we can write that:

[tex]2x+4x=180[/tex]

Hence:

[tex]x=30[/tex]

Thus, Arc CB = 120°. By the Inscribed Angle Theorem:

[tex]\displaystyle m\angle A=\frac{1}{2}\left(\stackrel{\frown}{CB}\right)=\frac{1}{2}\left(120)=60[/tex]

Therefore, ΔABC is a 30-60-90 triangle. Its sides are in the ratios shown in the image below.

Since AC is opposite from the 30° triangle, let AC = a.

We are given that AC = 9. Hence, a = 9.

BC is opposite from the 60° angle and it is given by a√3. Therefore:

[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]

Which angels are corresponding angles? Check all that apply

Answers

Answer:

Only A and B.

Step-by-step explanation:

Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same

∑_(n=1)^∞▒〖( 1/2 )〗^2n

Answers

Answer:

The series converges to [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

It seems to be this series:

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]

We have

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]

Using the Root test we can see that this series converges once

[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]

Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]

The series is convergent.

Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.

The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]

[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]

Find the value of
[tex]3 \frac{1}{5} \div \frac{8}{20} [/tex]


Answers

Answer:

[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}

[/tex]

3 1/5 must first converted into 16/5
Then, we can change the division into multiplication by changing 8/20 into it’s reciprocal, 20/8.
This gives us 16/5 * 20/8.
We can then simplify this to 2/1 * 4/1
You then multiply the two fractions to get 8/1 which is equivalent to 8.

How much would the combined production of pineapples increase for the two islands due to trade? How much would the combined production of pearls increase?

Answers

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

The volume of a right cylinder is 277 cubic centimeters, and the
height is 3 centimeters (cm). What is the radius of the cylinder?

Answers

Answer:

3cm

use the formula for the volume of a cylinder

and substitute

3cm maybe is the correct answer

Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct

Answers

Answer:

Option C

Step-by-step explanation:

n = 81  

s2 = 625  

H0: σ2 = 500  

Ha: σ2 ≠ 500  

Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500

X^2 = 100

P value = 0.0646 for degree of freedom = 81-1 = 80

And X^2 = 100

At 95% confidence interval  

Alpha = 0.05 , p value = 0.0646  

p < alpha, we will reject the null hypothesis

At 95% confidence, the null hypothesis

if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?

Answers

Answer:

5

Step-by-step explanation:

21-16=5

hope it helps!!

is this an Olympiad qn?

Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Sadie had $3.00 leftover after buying these items. What was the cost of each item?

Answers

Answer:

cost of paint set = $ 13.64

cost of sketch book = $ 6.82

cost of brush = $ 4.55

Step-by-step explanation:

Let the cost of paint set is s.

cost of sketch book = s/2

cost of brush = s/3

Money spent = $ 28 - $ 3 = $ 25

So,

s +  s/2 + s/3 = 25

6 s + 3 s + 2 s = 150

11 s = 150

s = $ 13.64

cost of paint set = $ 13.64

cost of sketch book = $ 6.82

cost of brush = $ 4.55

Miguel borrowed $1,800 for 2 years and ended up paying $180 in simple interest what was the interest rate​

Answers

Answer: 103.534%

I used a calculator and everything

Choose the correct Set-builder form for the following set written in Roster form: { − 2 , − 1 , 0 , 1 , 2 }

Answers

Step-by-step explanation:

{x:x is an integer where x>-3 and x<3}

Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Answers

Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

−12 as a ratio of two integers.

Answers

Answer:

-12 can be written as the ratio of -24 and 2, for example.

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by the division of a by b, that is:

[tex]r = \frac{a}{b}[/tex]

−12 as a ratio of two integers.

Here, we want any division in which the result is -12. One example is:

[tex]-12 = \frac{-24}{2}[/tex]

-12 can be written as the ratio of -24 and 2, for example.

1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
2.Use the distance formula to find BC. Show your work.

Answers

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Distance between B(6, 2) and C(2, -1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] B(6, 2) = (x_1, y_1) [/tex]

[tex] C(2, -1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]

[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]

[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] BC = 5 units [/tex]

Answer:

The person above me has the correct answer and solves it in the correct way.

Step-by-step explanation:

This is what I used as my answer though.

Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2 

BC = √(x2-x1)^2 + (y2-y1)^2 

B = (6,2)

C = (2,-1)

BC = √(2-6)^2 + (-1-2)^2 

BC = √(-4)^2 + (-3)^2 

BC = √16+9

BC = √25

BC = 5

(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of

Answers

this is an example of linear equations is one variable

GIVING OUT BRAINLIEST PLUS 10 PTS

Answers

Answer:

Letter B

Step-by-step explanation:

I used a graphing calculator,

Hope this helps

what is the median of 66 69 68 69 70 70.​

Answers

to answer your question above, the median is 69
Other Questions
Select all lines that apply. Which details best express the theme that it is important to stay focused on one's dreams? He Had His Dream by Paul Laurence Dunbar He had his dream, and all through life, Worked up to it through toil and strife. Afloat fore'er before his eyes, It colored for him all his skies: The storm-cloud dark Above his bark The calm and listless vault of blue Took on its hopeful hue, It tinctured every passing beam- He had his dream. He labored hard and failed at last, His sails too weak to bear the blast, The raging tempests tore away And sent his beating bark astray. But what cared he For wind or sea! He said, "The tempest will be short, My bark will come to port." He saw through every cloud a gleam- He had his dream.A. He had his dream, and all through life, Worked up to it through toil and strife.B. The storm-cloud dark Above his barkC. He had his dream. He labored hard and failed at last, His sails too weak to bear the blastD. He said, "The tempest will be short, My bark will come to port." He saw through every cloud a gleam fake anwsers will be reportedWhat role did the country of Portugal play during the Age of Exploration? Why was it important during that time period? Help me with this question too The formula below gives the area of a semi-circle, A, with a radius of r.Solve the formula for the radius PLS PAK I ANSWER NITO KAILANGAN LANGPO Three Bell ringing constituency in intervals of 30,36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8:00 a.M. At midday the temperature in Moscow was 7C.At midnight it was -3C.By how many degrees did the temperature fall? You are a farmer who is putting away bales of hay for the winter months. Each bale is 3 feet long, 2 feet wide, and 1.5feet thick. The bales of hay are stacked in storage bins 12 feet long, 8 feet wide, and 6 feet deep.What is the minimum number of bins needed for 350 bales of hay? Which of the following may have influenced neumatic notation?A. Byzantine chant notationB. Muslim chant notationC. Hindu chant notationD. Ancient Roman music If the distance from D to D' is 10 and the distance from A to D is 2 what is the scale factor? Zebra Company sells a segment of its operations at a loss. Zebra has not previously experienced such an event and does not expect to again. The loss from the disposal of the segment should be reported in the income statement as: Select one: A. A separate amount in comprehensive income B. A separate amount in net income from continuing operations C. A separate amount in a discontinued operations section D. As part of cost of goods sold 6. Roll a pair of dice. What is the probability that a total of 12 will be face up? Evaluate f(3)A. 18B. 12C. 4D. 21 The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level.To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8.Where does this section of the bridge meet ground level? What is a name for the marked angle?Chose 1 answer Drag the tiles to the correct boxes to complete the pairs.Match the mRNA sequences to their DNA sequences.AUUACGCAUCCGAAAUGUGAUCAUUACUUUUUAACGAAAAATTGCarrowRightGGCTTTACAarrowRightTAATGCGTAarrowRightCTAGTAATGarrowRight HELP PLEASEEEEEEEEEEEEEEEEEEEEE Al igual que la Constitucin de los Estados Unidos, Roma tenia un conjunto de leyes escritas que se conocan como: Based on the article "Will the real atomic model please stand up?," why did J.J. Thomson experiment with cathode ray tubes? 4. Which answer choice BEST describes the author's point of view aboutThomas Sullivan?Sullivan's idea for the individual tea bag was more popular in 1908 when itwas a silk bag than it is today as a gauze bag.Sullivan's clever way of marketing tea bags was highly effective and is thereason why they are everywhere today.Sullivan was wrong to steal the idea of the tea leaf holder from Roberta C.Lawson and Mary McLarenSullivan was the first one to invent the tea bag and make it official by gettinga patent for it