Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Dave and his cousin Emily are picking apples in their grandparents' orchard. Dave has filled 6
baskets with apples and is filling them at a rate of 5 baskets per hour. Emily has 9 full
baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point
where they have filled the same number of baskets, they will carry them to the barn and then
eat lunch. How much fruit will they have picked by then? How long will that take?
Dave and Emily will each have filled
baskets in
hours.

Answers

Answer 1

Answer:

It will take 1 hour and they will have 11 baskets

Step-by-step explanation:

Dave

6 + 5h = b

Emily

9 + 2h=b

where h = hours  and b = baskets

Setting the equations equal to each other

6+5h = 9+2h

Subtracting 2h from each side

6+3h = 9

Subtracting 6 from each side

3h = 3

Divide by 3

h =1

Then finding b

9+2h = b

9+2 =b

11=b

It will take 1 hour and they will have 11 baskets


Related Questions

Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.


Please give me steps on how to solve this problem. THANK YOU.

Answers

Answer:

26 ≤ x ≤ 39 where x is # of hours

Step-by-step explanation:

If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:

245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)

Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.

18x + 18 = 17 What is the variable x and how do you get that answer?

Answers

Answer:

x = - 1/18

Step-by-step explanation:

Move all terms not containing  x to the right side of the equation

Divide each term by 18 and simplify

The result can be shown in multiple forms

x = -1/18

Decimal form= -0.05

Answer: x=-1/18

Step-by-step explanation:

18x+18=17

you subtract 18 from both sides

18x=-1

then you divide by 18 on both sides

x=-1/18

Which represents the solution to 7x > 21 or 6x - 9 < 21?

Answers

Answer:

1) The correct option is the third line

2) The correct option is the third line please see attached graph

Step-by-step explanation:

For the system of inequalities,

7·x > 21 or 6·x -9 < 21 we have;

7·x > 21

x > 21/3 = 3

x > 3

Also we have for 6·x -9 < 21 we have;

6·x -9 < 21

6·x < 21 + 9

6·x < 30

x < 30/6 = 5

x < 5

The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with  circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option as the third line which has an open circle at point 3 and 5

b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36

For the inequality v + 4 > 2, we have;

v > 2 - 4

v > - 2

For the inequality 8·v - 20 ≤ 36, we have;

8·v - 20 ≤ 36

8·v  ≤ 36 + 20              

8·v  ≤ 56

v ≤ 56/8

v ≤  7

The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7

By visual inspection, determine the best-fitting regression model for the
scatterplot.
A. no pattern
B. Exponential
C. Quadratic
D. Linear

Answers

C.quadratic. Based on the pattern it is quadratic.

Answer: C

I just took the test

A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?

Answers

Answer:

Explained below.

Step-by-step explanation:

Consider the diagram of a regular octagon is inscribed inside a circle.

Suppose the perimeter if the octagon is 8a.

(a)

Compute the measure of a side of the octagon as follows:

[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]

Thus, the side of the octagon is a units.

(b)

The sum of all angles of around a point is 360°.

Consider the point P on the octagon.

The sum of all the angle surrounding P will be 360°.

There are a total of 8 angle surrounding the point P.

Then the measure of central angle is:

[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]

Thus, the measure of central angle is 45°.

(c)

The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.

Consider the diagram.

In the diagram the line segment PC is an apothem, that is perpendicular to the AB.

The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).

Compute he measure of PC as follows:

[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]

      [tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]

Thus, the measure of the apothem of the octagon  is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].

(d)

The area of an octagon is:

[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]

1) solve for the shaded area
8 cm
15 cm
4 cm
30 cm
www.analyzematlucom

Answers

Answer:

208 cm²

Step-by-step explanation:

First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².

Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²

Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²

208cm^2

Area of rectangle=length*breath
So we should divide the shaded area into 2 rectangles
And find the area of those two rectangles separately
And at last we should add them

So the final answer is 208cm^2

Hope it helps
And don’t forget to mark as brainliest

Trigonometry.....Help plzzzz​

Answers

Answer:

17.3 = AC

Step-by-step explanation:

Since this is a right angle, we can use trig functions

tan B = opp/ adj

Tan 68 = AC / 7

7 tan 68 = AC

17.32560797 = AC

To 1 decimal place

17.3 = AC

Answer:

AC = 17. 3 cm

Step-by-step explanation:

To find AC we use tan

tan ∅ = opposite / adjacent

From the question

AB is the adjacent

AC is the opposite

So we have

tan 68 = AC / AB

AC = AB tan 68

AC = 7 tan 68

AC = 17.32

AC = 17. 3 cm to one decimal place

Hope this helps you

What the answer now question correct answer fast

Answers

v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth

Can someone answer all of them or at least one please. Thank you :)

1. Solve the equation below for the variable (y):
2x + 5y = 20
A. y = 20 - 2x / 5
B. y = 18x / 5
C. y = 5 (20 - 2x)
d. y = 2x - 20 / 5


2. Substitute r = 3 and h = 5 into the formula V = πr^2h then evaluate
A. 235.5
B. 47.1
C. 141.3


3. In a formula, any operation we can do to a number can also be done to a variable.
True or False?

Answers

Answer:

1) A. y= (20 - 2x) /5

2) C. 141.3

3) True ( Your answers are here.)

Answer:

1. is A 2. is C 3. is I believe True

Step-by-step explanation:

1.

2x + 5y = 20

-2x          -2x

5y = 20 - 2x

/5          /5

Answer: y = 20 - 2x /5

2.

V = πr^2h

π=3.14  r=3  h=5

3.14*3^2*5

1.413*10^2 which = 141.3

3.

I am not completely sure but I think it is True

Hope this helps

Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°

Answers

Answer:

X+X

Step-by-step explanation:

did it on edg

Answer:

x° + x°

Step-by-step explanation:

Edge 2020

The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?

Answers

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...

Answers

Answer:

-1+2-4+8-10+12-14+16-18+20

=

-47+68

= +21

hope youlike this

stay at home stay safe

keep rocking

Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined

Answers

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

which in our case gives:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]

an appropriate metric unit for the mass of an eyelash.

Answers

Answer: Mass of a typical house cat:

Automatically eliminate B and D since they are not metric unit for mass

So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.

Correct answer: C

Please answer it now in two minutes

Answers

Answer:

m<x = 60

Step-by-step explanation:

This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.

Please answer this in two minutes

Answers

Answer:

Hey there!

S would be 2 times 7, or 14.

Hope this helps :)

Answer:

14

Step-by-step explanation:

This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.

Please answer this question now

Answers

Answer:

            39°

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

  90° + 58° + x - 7° = 180°

    141° + x = 180°

        x = 39°

what is the value of 24% of 800?
Question of mathematics​

Answers

192.
We simply multiply 800 and 24% (0.24)
800(0.24) = 192

Answer:

[tex] \huge \boxed{192}[/tex]

Step-by-step explanation:

[tex]24\% \: of \: 800[/tex]

By definition of p% = p/100

[tex] = \frac{24}{100} \times 800[/tex]

Reduce the numbers with Greatest Common Factor 100

[tex] = 24 \times 8[/tex]

Multiply the numbers

[tex] = 192[/tex]

Hope I helped!

Best regards!!

rotate the triangle below: A(5,3) B(8,10) C(11,3) angle of rotation is 180 centre origin direction is anti- clock wise

Answers

Answer:

see explanation

Step-by-step explanation:

Under a rotation ( clockwise or anticlockwise ) about the origin of 180°

a point (x, y ) → (- y, - x ), thus

A(5, 3 ) → A'(- 3, - 5 )

B(8, 10 ) → B'(- 10, - 8 )

C(11, 3 ) → C'(- 3, - 11 )

Complete the sentence by selecting the correct word from each drop-down menu. The middle value of a data set that is ordered from least to greatest is called the ____ . This value is a measure of ____. The options for the first ____ are mean/median/range The options for the second ____ are center/range/variation

Answers

Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Step-by-step explanation:

There are three measures of the center: 1) Mean   2) Median  3) Mode

Mean : Average value of the data

Mode = The most repeated value.

Median is the middlemost value in a well-ordered data.

It measures the center of the data.

Hence, the completed statement would be:

The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Answer:

First ____ is median

Second ____ is center

Step-by-step explanation:

The median is the middle value of a set of numbers, and is found in the center.

Given: l | | m m 1 = 140° m 3 = 50° m 6 =

Answers

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair.  This means they are supplementary, or their measures sum to 180°.  To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°.  We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q

Answers

Answer:

[tex]d = \sqrt{85}[/tex] or d ≈ 9.22

Step-by-step explanation:

Distance formula:

[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]

Urgetttttttt!!!!!!! On his way to work each day, Steve encounters one traffic light. He records the color of the light each day by marking "G" for green and "R" for red. Estimate the probability that Steve encounters a green light on any given day. G G G R R G R G G R R R R G G G G R R G

Answers

Answer:

           [tex]\bold{P(A) =\dfrac{11}{20}}[/tex]

Step-by-step explanation:

A - an occurrence that Steve encounters the green light

number of all counted ligths:    |Ω| = 20

number of counted green ligths:  |A| = 11

Probability that Steve encounters a green light on any given day:

[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]

The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
O y = x + 2
Oy= 2x
Oy= 2​

Answers

Answer:

y =2x

Step-by-step explanation:

Slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 2x+0

y = 2x

Answer:

Step-by-step explanation:

e

if x to the power of 2 = 10 what is the value of x?

Answers

Answer:

x² = 10

x = ±√10 (Take the square root of both sides)

X squared is equal to 10

Which equation is true for the value b = 10? A. 2(b + 4) = 16 B. 2(b + 2) = 40 C. 3(b – 2) = 24 D. 2(8 + b) = 42 E. 3(b – 4) = 20

Answers

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

have a good day

Hey loves!!! This is my last question(for now).Please help.

Answers

Answer:

35 degrees.

Step-by-step explanation:

m < TSK = 180 - 22 - 123

= 180 - 145

= 35.

Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?

Answers

Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

I need a. Correct answer I’ll mark brainliest

Answers

Answer:

7^11 / 4^11

Step-by-step explanation:

( 7/4) ^ 11

We know that ( a/b) ^c = a^c / b^c

7^11 / 4^11

Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

Step-by-step explanation:

There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]

So we can apply this rule to this problem.

[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2

Answers

The value of A will be -3x^2

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

Answer:

B on EDG

Step-by-step explanation:

Other Questions
One of the sentences below is correctly marked to show the prepositional phrase, the preposition, and its object. Which sentence is correctly marked? Hint: The prepositional phrase is in parentheses. The preposition is in bold text. The object of the preposition is in italics. (On the table) is the book. (On the table is the book). On the table (is the book). (On the table) is the book. Describe where you are (in your life) and what you want to learn Which amino acid chain will be formed by the codons shown below?ACU CCA UCGMessengerSecond base in codonRNA Codons UAGUUU UCUUAUUGU UUUCPheUCC UACTyrUGCCysUSerUUALeuUCA UAA Stop UGA Stop AUUG UCG UAG Stop UGG Tep GCUU CCU CAU CGUUHisCUC CAC) CGCLeuProArgCUA CCA CAA CGAAGinCUG CCG CAG CGGI GAUU) ACUAAUUAsnAGUSCAUClle ACCAAC AGCAThrAUA ACA AGAAUGStart Me ACG AAG AGGGUU GCU GAU GGUUAspGUC GCC GAC GGCValAlaGlyGUA GCAGGA AGUG GCG GAG) GGGGcFirst base in codon= 0 < =0 < = conocoThird base in codonLysArgGGAA GluA. Thr-Pro-PheB. Thr-Pro-SerC. Asn-Pro-SerD. Thr-Ser Pro Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round). Suppose a company owns a fancy 3D printer which cost $1500 to buy. The printer depreciates $200 per year. (a) If the interest rate is 3 percent, what is the implicit rental price of the printer per year? (b) Does your answer to part (a) depend on whether the company used its own money to buy the printer, or if it took out a loan? Why? Suppose a newer edition of the 3D printer comes out for $2000. Because better technology is used, there is less depreciation; it only depreciates by $150 a year. (c) Calculate the implicit rental price for the new edition of the printer. Which edition of the printer - old or new - has a larger implicit rental price? 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Which expression represents the spring constant (1 =9.8 )? A). 980ab B). 9.8ab C). 9.8ab D). 980ab Paradise Travels is an all-equity firm that has 6,000 shares of stock outstanding at a market price of $34 a share. The firm's management has decided to issue $40,000 worth of debt and use the funds to repurchase shares of the outstanding stock. The interest rate on the debt will be 7 percent. What are the earnings per share at the break-even level of earnings before interest and taxes? Ignore taxes. Efren is constructing a line parallel to EF through point G. What step should be his next step? With the compass point on D, construct an arc that intersects EF and GD . With the compass point on G, construct an arc that intersects GD . With the compass point on D, construct an arc that intersects EF twice. With the compass point on G, construct an arc that intersects EF . You are a graduate student in the lab of a famous fly geneticist. You need to analyze a batch of mutant flies that were recently created in her laboratory to identify the single gene that is most likely mutated in each of the flies. Drag the mutations on the left to the appropriate blanks on the right to complete the sentences.a. knirps (a gap gene) b. hunchback (a gap gene) c. hedgehog (a segment-polarity gene) d. wingless (a segment-polarity gene) e. kruppel (a gap gene) f. even-skipped (a pair-rule gene) 1. Mutant fly F has predominantly lost abdominal structures, which is likely the result of a mutation in_____. 2. The wings are missing in mutant fly L, which is likely the result of a mutation in______. 3. Thoracic and abdominal structures are missing in mutant fly Q. The gene most likely responsible for this mutation is______. 4. Segment-sized sections of every other segment are missing in mutant fly Z. One likely candidate gene is_______. 5. Mutant fly X has lost the head and thorax. The gene most likely responsible for this mutation is_______. 6. The mutation observed in mutant fly O resulted in defects within the anterior or posterior regions of each segment. The gene that most likely caused this mutation is_______. solve for x in the diagram below Psychology 1AQuestion : Soraab performs better foreign language vocabulary tests if he studies the material 15 minutes every day for eight days than if he crams for two hours the night before the test. This illustrates what is known as: Answers: Chunking Rehearsal Mood-congruent memory The spacing effect What three different genotypes are possible for an individual in this population Algerias struggles after independence can be, in part, traced to Frances practice of a) promoting inexperienced Algerians in French government. b) distributing land evenly between Algerians and Europeans c) sharing money earned on the sale of oil with the Algerian people. d) limiting the ability of Algerian Muslims to become French citizens. Allocate birr 5000 among the three workers in the ratio 1/3 :1/6 and 5/12. What were the First Nations nationalist goals in Canada