In a chest there are some gold coins. Captain takes half the
coins. Sally takes a fourth of the coins. There are 3 coins left.
How many coins were in the chest at the start?

Answers

Answer 1

Answer:

7

Step-by-step explanation:

4+3=7

Answer 2

Answer:

There were 12 gold coins in the chest at the start.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

There were 12 gold coins in the chest at the start.

Hope this helps :D


Related Questions

a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form

Answers

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

Plz plz plz I need 546463+54543 times 64 it’s due in 4 min

Answers

Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.

solve an equation x/17= -4

Answers

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

Find the area of the following figure.
18 square units
16 square units
12 square units
24 square units

Answers

The area is 82,944 it that because you multiply when it come to area

If you are making a scale drawing of a giraffe that is 6m tall, and the height of the giraffe in your drawing is 3cm, what is the scale of the drawing? Thank you and please explain how you obtained your answer.

Answers

Answer:

The scale would be 200

Step-by-step explanation:

If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.

help im being timed what is the perimeter of this triangle?!

Answers

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

To find the PERIMETER of a triangle, add the length of its sides.EXAMPLE ⇒ If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. NOTE: The P stands for PERIMETERHope this helpsGod bless

Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?

Answers

39.95+.10x=y
X being the text messages and y the amount paid

In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?

Answers

Yellow: 24
Orange: 20
Red: 16

Explanation:

6 + 5 + 4 = 15

60 / 15 = 4

Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeans

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

Find out more at https://brainly.com/question/14493658.

If a van traveled 120 miles in 2 hours, how far could the van travel in 5 hours?​

Answers

Answer :

The Answer Is 300 Miles In 5 Hours

Answer:

300 miles i think

Step-by-step explanation:

120 times 2.5 bc 2 times 2.5=5

120 times 2.5 is 300

Explain what is occurring in each chunk of the graph

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.

so from the distance-time graph, it is clear that the graph includes 5 chunks.

The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.

Please note that speed is basically the distance covered per unit time.

The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.

The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.

The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.

Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️

THIS IS MY LAST ONE HELP

Answers

Answer:

15

Step-by-step explanation:

15 is half of 30, the output values are the input values divided by 2 :)

does it matter if its -√24 or √-24

Answers

Answer:

Yes it really does, you CAN NOT FIND THE SQUARE ROOT OF A NEGATIVE.

Step-by-step explanation:

Sorry if I came off as aggressive, I just wanted to get the point across.

what is the answer to (-3)×(-5)

Answers

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

what are the three products of celullar respiration

Answers

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Increase £180 by 12.5%​

Answers

Answer:

202.50

Step-by-step explanation:

Answer:

£202.50

Step-by-step explanation:

£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.

Hope this helps :D

d+7 divided by −3=4.

Answers

Answer:

- 19

Step-by-step explanation:

Step 1:

d + 7 ÷ - 3 = 4        Equation

Step 2:

d + 7 = - 12        Multiply

Step 3:

d = - 12 - 7      Subtract

Answer:

d = - 19

Hope This Helps :)

Solve the equation for x.​

Answers

Answer:

x = 5

Step-by-step explanation:

4(x-1)/8 = 2(x+2)/7

7*4(x-1) = 8*2(x+2)

28(x-1) = 16(x+2)

28*x + 28*-1 = 16*x + 16*2

28x - 28 = 16x + 32

28x - 16x = 32 + 28

12x = 60

x = 60/12

x = 5

Check:

4(5-1)/8 = 2(5+2)/7

4*4/8 = 2*7/7

16/8 = 2*1 = 2

4x + 5y = 30
5x + 3y = 31

Answers

Answer:

y=2

x=5

trust me its by calculator

Answer:

x=5

y=2 true......

Step-by-step explanation:

.............

A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?

Answers

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

Answer the following parts asked.

Answers

Answer:

[tex]f(n) = 15 + (n + 1)[/tex]

Step-by-step explanation:

Tina earns $15 every week when she mows the lawn.

We would put $15 because she earns $15 every week.

She earns 15 every week, so we would put (n + 1).

Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]

Answer:

The explicit rule is:

[tex]f(n)=60+15(n-1)[/tex]

After 15 week, Tina will have $270 in her savings account.

Step-by-step explanation:

Let’s write down our sequence so we can see it better.

For the first week (i.e. the first term), Tina has $60.

For the second week (i.e. the second term), Tina has $75.

And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.

Therefore, we can write the following sequence:

60, 75, 90, 105, 120, 135...

Note that our initial term a is 60.

And our common diffference will be 15.

Let’s find the explicit rule. The standard format for an explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:

[tex]f(n)=60+15(n-1)[/tex]

So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:

[tex]f(15)=60+15(15-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]

Hence, after 15 weeks, Tina would have $270 in her savings account.

Will give brainliest if correct.

Answers

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?

Answers

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

What is 78.5 rounded to the nearest hundredth

Answers

Answer:

There is no digit in the hundredths place, making this indeditable.

Answer:

it is already rounded to the nearest hundredth

Step-by-step explanation:

the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)

Plssss plsss help!! I can Venmo if that’s how u can help! Thank you!!

Answers

Answer:

And for number 10 the answer is (b)

I hope this helps, Happy learning!!!

1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information

Answers

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. PLSE help

Answers

Answer:

1,123.30

Step-by-step explanation:

first of all, you are decreasing 1015 by 6 percent so it will be

1015 * 0.93 because you are decreasing it from the percentage

then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19

943.95 * 1.19

and answer will be 1,123.30

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.

Answers

Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0

Answers

Answer:

(-6,2)

Step-by-step explanation:

[tex]f(x)<0[/tex]

We are given [tex]f(x)=x^2+4x-12[/tex].

So we need to solve:

[tex]x^2+4x-12<0[/tex]

First let's find when the expression on the left is 0.

[tex]x^2+4x-12=0[/tex].

The expression on the left is factorable.

Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

[tex](x+6)(x-2)=0[/tex]

So the solutions can be found be solving the following linear equations:

[tex]x+6=0[/tex] and [tex]x-2=0[/tex].

First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]

Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].

Let's plug in x=-8

[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].

[tex]f(-8)=(-8+6)(-8-2)[/tex]

[tex]f(-8)=(-2)(-10)[/tex]

[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(0)=(0+6)(0-2)[/tex]

[tex]f(0)=(6)(-2)[/tex]

[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(5)=(5+6)(5-2)[/tex]

[tex]f(5)=(11)(3)[/tex]

[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

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