In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class

Answers

Answer 1

Answer:

C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Step-by-step explanation:

In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class?

(1) The teacher distributed 180 candies and 40 bars.

(2) The total number of items received by each student was less than 20.

A Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

B Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D EACH statement ALONE is sufficient to answer the question asked.

E Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

180 candies and 40 bars

The highest common factor of 180 candies and 40 bars = 20


Related Questions

How do I solve this

Answers

The awnser is (-1, 3)

Answer:

x = -1 y = 3

Step-by-step explanation:

x = 2y-7

2x + 3y = 7

Substitute x =2y-7 in 2y + 3y = 7

2(2y-7) + 3y = 7

4y-14+3y = 7

7y - 14 = 7

7y = 7 + 14

7y = 21

7y/7 = 21/7

y = 3

Substitute 3 for y in x = 2y-7

x = 2(3) - 7

x = 6 -7

x = -1

Answered by Gauthmath

Someone please helppp

Answers

Answer:

Step-by-step explanation:

L = 2 + sqrt(2)

W = 4 - 2sqr(2)

Area = L * W

Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )

Use Foil

F: 2*4 = 8O: 2*(-2sqrt(2) = - 4sqrt(2)I: 4*sqrt(2)L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4

Result

Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)

Area = 4

what is the the value of ∣9∣

Answers

Hey there! I'm happy to help!

This symbol is an absolute value symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.

Have a wonderful day and keep on learning! :D

What is the answer of 603 x 42 , this question is multiply , it’s of my brother who is just in g-4 …… pls help if you know but teach by process

Answers

Answer:

25326

Step-by-step explanation:

please refer to the picture above

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Perform the indicated operation.

(-50) ÷ (-2)

Answers

(-50)/(-2)

= 25

when numbers with same signs are divided it gives positive sign........

When 2 negative number are divided it turn positive so it basically just 50/2 which is 25. So your final answer is 25. Hope this helps!

If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)

Answers

Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

38

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

HELP ILL GIVE BRAINLIEST

Answers

Answer:

the image/text is not there

Step-by-step explanation:

Convert 300 grades to a radian measure

A=5pi
6
B=6pi
5
C=3pi
5
D=5pi
3

Answers

Answer:

5pi/3

Step-by-step explanation:

The conversion factor is pi/180

300 *pi/180 = 300pi/180 = 30pi/18  = 5pi/3

find the surface area. Leave your answer in terms of pi

Answers

Answer:

210*pi

Step-by-step explanation:

Surface area=2*pi*r*(r+h)

=2*pi*5*(21)=210*pi

The temperature in Miami, Florida Is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor.
3x + 82 = 22
3x + 22 = 82
3x - 22 = 82
3x - 82 = 22

Answers

Answer:

the answer is c I believe

i am a decimal with 2 decimal places round me to the nearest tenth and I will be 7.6 What are the decimals that i might be?​

Answers

Answer:

The answer is below

Step-by-step explanation:

There are multiply answers, I am pretty these are the answers

7.55

7.56

7.57

7.58

7.59

Step-by-step explanation:

The decimal can be from 7.55-7.64

When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6

Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6

And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too

please click thanks and mark brainliest if you like :)

Anyone who can help me with this?

Answers

Answer:

C

Step-by-step explanation:

We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.

l+(l+4)/2

2l+4/2

l + 2

Best of Luck!

Answer:

C

Step-by-step explanation:

say your 5 consecutive numbers are 6-10

if 6 is l and 10 is g then

6+10 over 2 equals 8

this proves that l+2 is correct since 6+2=8

Ratios, Rates, and Percents
17:30
Question 16
Problem
Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in
miles that Patricia traveled during this time?

Answers

Answer:

382.5 :)

Step-by-step explanation:

took test

Can you help me calculate the angles from this kite in the attachment?


AY =, XZ =,

Answers

Answer:

AY=8, XZ=20

Step-by-step explanation:

WY=WA+AY, plug in values: 14=6+AY, subtract 6 from both sides: 8=AY, AY=8cm

ZA=10cm and WY bisects XZ at A, so XA=ZA and XZ  = XA+ZA = 2ZA =2*10 = 20 cm

One dozen cookies cost $5.50. At that rate, how much does one cookie cost?

Answers

Answer:

0,458$

Step-by-step explanation:

First you have to divide 5.50 by 12 to get the price for one cookie after doing that you get $.458333333333333

which is less full? A dump truck that is 1/10 full or one that is 7/10 full?

Answers

Answer:

Its the first one

Step-by-step explanation:

A dump truck that is 1/10 is less full than a 7/10 one.

1/10 is your answer.

https://www.commoncoresheets.com/Math/Fractions/Comparing%20Fractions%20Relative%20Size/English/1.pdf

given that y/√5 = √20 ×10^-3×10^5x. and lgy- mx = c for x>0 and y>0, find the values of m and c​

Answers

Answer:

m = 5 and c = -2

Step-by-step explanation:

[tex]let \: y = \sqrt{20} \times {10}^{ - 3} \times {10}^{5x} \\ be \: equation \: 1[/tex]

Now

[tex]y = \sqrt{5} ( \sqrt{20} \times {10}^{ - 3} \times {10}^{5x} ) \\ y = \sqrt{100} \times {10}^{ - 3} \times {10}^{5x} \\ y = 10 \times {10}^{ - 3} \times {10}^{5x} [/tex]

[tex]using \: rules \: of \: indices \: we \: get \\ y = {10}^{1 - 3 + 5x} \\ y = {10}^{ - 2 + 5x} \\ [/tex]

[tex]now \: take \: log \: of \: both \: sides \: and \: use \: laws \: of \: logarithm \\ we \: get \\ [/tex]

[tex] log(y) = log( {10}^{ - 2 + 5x} ) \\ log(y) = ( - 2 + 5x) log(10) \\ log(y) = - 2 + 5x \\ log(y) - 5x = - 2 \\ \\ comparing \: this \: to \: \\ log(y) - mx = c \\ \\ we \: get \: m \: = 5 \: and \: c = - 2[/tex]

A parabola has x-intercepts at x=-3 and x=4. What the equation of the parabola?

Answers

Answer:

x² - x - 12 = 0

Step-by-step explanation:

Given the x- intercepts are x = - 3 and x = 4 , then the factors are

(x + 3) and (x - 4)

Expressing as a zero product

(x + 3)(x - 4) = 0 ← expand using FOIL

x² - x - 12 = 0

steps to describe an inscribed regular hexagon.

Answers

Answer:

many sides

unique shape

35\40 = 7\?

a. 5
b. 8
c. 1
d. 4

Answers

Answer:

b. 8

Step-by-step explanation:

Simplify the left side by dividing the top and bottom by 5

35/5 = 7

40 /5 = 8

7/8

Hey there!

35/40 = 7/x

Cross Multiply the fraction

35(x) = (7)(40)

→ 35x = 280

DIVIDE 35 to BOTH SIDES

35x/35 = 280/35

CANCEL out: 35/35 because that gives you 1

KEEP: 280/35 because that helps solve for the x-value

→ x = 280/35

x = 8

Therefore, your answer is most likely: 8 (Option B)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Solve the equation.

Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5

Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5 ​

Answers

Answer:

- 5

Step-by-step explanation:

Solve for x

4-2(×+7)=3(×+5)

We open the bracket :

4 - 2x - 14 = 3x + 15

Collect like terms

-2x - 3x = 15 + 14 - 4

-5x = 25

Divide both sides by - 5

-5x/-5 = 25 / - 5

x = - 5

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Answers

Answer:

1

Step-by-step explanation:

I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).

What is the value of a? Round to the nearest tenth.

Answers

Answer:

50 percent?

Step-by-step explanation:

An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th

Answers

9514 1404 393

Answer:

up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ft

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.

The triangle sides are ...

  4 ft : 4√3 ft : 8 ft

The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.

Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2

Answers

ans. 46.5m2......................

Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

Which statement BEST explains whether Jamal is correct or incorrect?

A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).

B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).

C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).

D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).

Answers

Answer:

c)

Step-by-step explanation:

x^2+4x-32 = (x-4)(x+8)

hence,

(x-4)(x+8) = 0

x = 4 or x = -8

the graph intersects at 4 not -4

Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0

Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Find the values of the unknown angles marked with letters. 50 points!!!!!!!
a ?
b ?
c ?
d ?

Answers

Answer:

a = 115°, alternate interior angles are congruentb = 70°, same as abovec = 180° - 115° = 65°, angles forming a straight angle are supplementaryd = 180° - 70° = 110°, same as above

a=115°(Alternate interior angles)b=70°(Alternate interior angles

C:-

[tex]\\ \sf\longmapsto c+115=180[/tex]

[tex]\\ \sf\longmapsto c=180-115[/tex]

[tex]\\ \sf\longmapsto c=65°[/tex]

D:-

[tex]\\ \sf\longmapsto d+70=180[/tex]

[tex]\\ \sf\longmapsto d=180-70[/tex]

[tex]\\ \sf\longmapsto d=110°[/tex]

Find the common ratio of the geometric sequence: 2/3,−2, 6,…

A. −1/3

B. -3

C. -1

D. 3

Answers

Answer:

B. -3

Step-by-step explanation:

Find the common ratio by dividing a term in the sequence by the one before it:

6/-2

= -3

So, the common ratio is -3.

The correct answer is B. -3

Answer:

B

Step-by-step explanation:

The geometric ratio is a3/a2=a2/a1=-2/(2/3)=-3.

There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get

Answers

Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

what is the sum of 1+2+.....+50?​

Answers

Answer:

sum is 1275

Step-by-step explanation:

[tex]sum = \frac{n}{2} [2a + (n - 1)d] \\ \\ sum = \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\ \\ sum = 25(51) \\ sum = 1275[/tex]

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