Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can put together so that he can have the same number of apples and same number of pears in each basket considering no fruit is left out?

Answers

Answer 1

Answer: 30 baskets.

Step-by-step explanation:

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

                         = 30

You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

Answer 2

Answer:

30 baskets

Step-by-step explanation:


Related Questions

What is the area of the rhombus ABCD is AB is 11.2, diagonal AC is 17, and diagonal BD is 15

Answers

Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

What is the average rate of change of F over the interval [0,7]?

Answers

Answer:

0

Step-by-step explanation:

Note that we start at (0, -4) and end at (7, -4).  Thus, the net change in y over the interval [0, 7] is 0, and the average rate of change of f(x) over that interval is thus

   0

--------- = 0

    7

Answer:

0

Step-by-step explanation:

Which of the following is an arithmetic sequence?

Answers

Answer:

B

Step-by-step explanation:

An arithmetic sequence there will be a constant difference between terms.

Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].

Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.

Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.

Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.

I hope this helps, ask me any question if you do not understand :)

Find equation of the line.

Answers

Answer:

-1+9

Step-by-step explanation:

-1 divide by -1 =1

so the answer is -1+9

I hope that helped and can you do my answer as a Brainliest PLEASE

If it helped don't forget to thanks

Please answer this question now in two minutes

Answers

88 degrees because the two figures are congruent.

Answer:

67 degrees.

Step-by-step explanation:

The two quadrilaterals are congruent, with angle T corresponding to angle F, angle U corresponding to angle C, angle V corresponding to angle D, and angle W corresponding to angle E.

A quadrilateral's interior angles add to be 360 degrees.

x + 138 + 67 + 88 = 360

x + 293 = 360

x = 67

So, angle D is 67 degrees.

Hope this helps!

Two similar triangles are shown.
to create
AXYZ was dilated, then
AQAG
translated
reflected
dilated
rotated

Answers

Answer: reflected

Step-by-step explanation:

The triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

What are the types of translations?

There are three types of translations -

reflectionrotationdilation

Given is a triangle ΔXYZ.

It is asked to find the type of translation that would result in ΔQAG.It can be seen in the figure that the triangle XYZ is reflected across the given line to form triangle QAG.So, we can we can replace the blank with Option - 2 : reflected.

Therefore, the triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

To solve more questions on graph rotation, visit the link below-

https://brainly.com/question/19527326

#SPJ7

Please please help!!! Study the diagram of circle Z. Points P, O, Q, and R lie on circle Z in such a way that OP¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯. If m∠QZR=(2x+9)∘ and m∠PZO=(4x−11)∘, what is the value of x?

x=3.3
x=15.3
x=10
x=12

Answers

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.

Answers

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]

[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]

Cross multiply:

[tex] 28 sin25 = 12 sinA [/tex]

[tex] 11.83 = 12 sinA [/tex]

[tex] Sin A = \frac{11.83}{12} [/tex]

[tex] Sin A = 0.986 [/tex]

[tex]A = sin^-^1(0.986)[/tex]

[tex] A = 80.44 degrees [/tex]

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

Which inequality is represented by this graph?
Help please :’/

Answers

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

change S25°W to a three digit bearing

Answers

Answer:

the answer is s025w

Step-by-step explanation:

simply add zero to the front to make it a three digit bearing

Find the value of x.

Answers

Answer:

x=20°

Step-by-step explanation:

X and Z are inscribed with the same arc (40°)

so the value of x and z are the same

X=Z

Z=1/2(inscribed arc)

Z=1/2(40°)

z=20°..... since z=x

X=20°

Find the following System by the cramer's rule 4x-2y=8 3x+y=-4

Answers

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

Question 4 A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and the second has a fuel efficiency of miles per gallon of gas. During one particular week, the two cars went a combined total of miles, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week

Answers

Complete question is;

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answer:

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Step-by-step explanation:

Let x be number gallons consumed by car 1

Let y be number of gallons consumed by car 2

We are told that total gas consumption of 50 gallons. Thus;

x + y = 50 - - - - - eq(1)

We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;

35x + 40y = 1850 - - - - eq2

Let's make y the subject in eq(1),

y = 50 - x - - - - eq(3)

Putting 50 - x for y in eq 2 gives;

35x + 40(50-x) = 1850

35x + 2000 - 40x = 1850

-5x + 2000 = 1850

-5x = -150

x = 150/5

x = 30 gallons

Substitute 30 for x into eq 3,we have;

y = 50 - 30

y = 20 gallons

Thus;

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

what is the measure of x? 68 degrees 70 degrees ​

Answers

Answer:

x = 138°

Step-by-step explanation:

Since the sum of all angles in a triangle is 180°, we find ∠BAC:

m∠BAC = 180 - (68 + 70) = 42°

Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:

180 - 42 = x

x = 138°

Answer:

138

Step-by-step explanation:

1. 68 + 70 = 138

2. 180 - 38 = 42

3. 180 - 42 = 138

4. X = 138

What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

Answers

Answer:

Step-by-step explanation:

(8-0)/(2+2)= 8/4= 2

y - 0 = 2(x + 2)

y = 2x + 4

Can someone help me with this question please?

Answers

Answer:

a.) (0,4) b.) (-4,0)

Step-by-step explanation:

a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)

b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)

Hope this helps!

Let's consider the scenario: You bring a hunting rifle to forest, and you see a tree full of birds. You count 15 birds total. You shoot 1 down. HOw mAny are left?

Answers

Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

what is the estimate difference between 2.97 1 2/11​

Answers

Answer:

2

Step-by-step explanation:

Estimate 1 2/11 to 1.

Estimate 2.97 to 3.

3 - 1 = 2

Answer:

B

Explanation

I took the quiz

PLEASE PLEASE PLEASE LOOK AT THIS & HELP ME

Answers

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(5, 4 ) → (4, - 5 )

Answer:

(4,-5)

Step-by-step explanation:

Definition : Rotate around  the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)

P(5,4) the mage is x=4, y=-5

100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random is a female, what is the probability that they were aged 20+?

Answers

Answer:

[tex] \frac{17}{28}[/tex]

Step-by-step explanation:

There are 56 females

There is 56 females

34 are 20+

34/56 simplfies to 17/28

14 of 46
E Sa
Function Transformations: Tutorial
Part B
Open the graphing tool, and compare the functions using the sliders. What can be said about the domain of
y= VX - kand the domain of y = VX + k?

Answers

Answer:

Therefore, domain of y = [tex]\sqrt{x-k}[/tex] ; Domain = [k, ∞)

Domain of y = [tex]\sqrt{x}+k[/tex] ; Domain = [0, ∞)

Step-by-step explanation:

Two functions are,

y = [tex]\sqrt{x-k}[/tex]

and y = [tex]\sqrt{x}-k[/tex]

Let the value of k = 1

Then we find the graph of the functions attached.

By analyzing these graphs,

y = [tex]\sqrt{x-1}[/tex] when shifted 1 unit right and 1 unit down we get a new function,

y = [tex]\sqrt{x}+1[/tex]

Therefore, domain of y = [tex]\sqrt{x-1}[/tex] ; Domain = [1, ∞)

Domain of y = [tex]\sqrt{x}+1[/tex] ; Domain = [0, ∞)

Similarly, domain of y =  [tex]\sqrt{x-k}[/tex] ; Domain = [k, ∞)

And domain of y = √x + k ; Domain = [0, ∞)

Is 2+4x-5x^2 in standard form?!

Answers

Answer:

y=-5x^2+4x+2

Step-by-step explanation:

Answer:

-5x² + 4x + 2

Step-by-step explanation:

Standard Form: ax² + bx + c

All you need to do is rearrange to have the highest degree first.

mckenna ears money eat time she shovels snow for her neghbors

Answers

Sorry, what is the question? OwO

1/2g-4=2g-1/2g+4


does it have one solution or infinitely many solutions ? Why ?

Answers

Answer: One solution

Explanation:

2g - (1/2)g = (4/2)g - (1/2)g = (3/2)g

The original equation becomes (1/2)g-4 = (3/2)g+4

The slopes are 1/2 and 3/2 respectively. Since the slopes are different, the two lines cannot be parallel.

Since we don't have parallel lines, they intersect at exactly one point leading to exactly one solution.

Answer:

the first one- one solution

the second one- infinitely many solutions

Step-by-step explanation:

1/2g-4=2g-1/2g+42g-1/2g-1/2g= -4-4g= -8

One solution as one intersection point

=========

-2.1b + 5.3 = b- 3.1b +5.3-2.1b + 5.3 = -2.1b + 5.3

considering this equation as lines, these are two overlapping lines, so there are infinitely many solutions

Draw a circle with center A and a radius of your choice. Create three well-spaced points, B, C, and D, on the circle in clockwise alphabetical order. Draw two radii, AB and AC , and draw two chords, DB and DC . Measure and record m∠CAB and m∠CDB. Take a screenshot of your diagram with the measurements, and paste it below.

Answers

Answer:

Please find attached the required circle

It is observed that the angle subtended by the arc CB which are m∠CAB and m∠CDB is such that the angle arc CB subtends at the center,  m∠CAB is two times the angle that the arc CB subtends at the circumference

The measured angle subtended by the arc CB at the center m∠CAB = 64° and the measured angle subtended by the arc CB at the circumference m∠CDB = 32°

Step-by-step explanation:

T

Answer:

from edmentum

Step-by-step explanation:

Subtract p - q from 2p - q + 4. answer the following with explanation

i need the answer ASAP pls tell the answer and i will mark as the brainliest

Answers

Answer:

Step-by-step explanation:

2p - q + 4 - ( p - q )

2p - q + 4 - p + q

By rearranging the terms

2p - p + 4

( you might think where -q and +q went ???

They are cancelled because they have opposite signs )

∴The answer is p + 4

Hope it helps

plz mark as brainliest!!!!!!!

Answer:

[tex]\boxed{p+4}[/tex]

Step-by-step explanation:

It will be like

=> (2p - q + 4) - (p-q)

=> 2p-q+4-p+q

Combining like terms

=> 2p-p-q+q+4

=> p+4

Helppp!!!! please!!!

Answers

Answer:

Option D

Step-by-step explanation:

Area of trapezium = sum of 2 parallel sides × height / 2

Here the two parallel sides are = 8 in. and 12 in.

And height = 7 in.

∴ Area of the trapezium = ( 8 + 12 ) × 7 / 2

= 20 × 7 / 2

=70 in^2

Hope this helps

plz mark as brainliest!!!!!!!!

Find the y-intercept of the line on the graph

Answers

Answer:

The answer to this is y=-2

Step-by-step explanation:

The answer is the point at which the line intercepts the y-axis.

Hope this helped. :)

Answer: -2

Step-by-step explanation:

The y-intercept of a line is the point where the line intersects with the y-axis.

Hope it helps <3

Please help me!

30g of cornflakes contain 2.5g of fat
How many grams of fat are there in 566g of cornflakes?
Give your answer to 1 dp

Answers

Answer:

47 .2 Grams 0f Fat

Step-by-step explanation:

[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]

Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

[tex](u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)[/tex]

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

[tex](u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)[/tex]

Adding (1) and (2) to solve for u and v:

[tex]2u = 2240\\\Rightarrow u = 1120\ km/h[/tex]

Putting u in (1):

[tex]1120-u=940\\\Rightarrow u = 180\ km/h[/tex]

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

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