Dan, Gordon and Malachy share some sweets in the ratio 4:3:5. Dan gets 48 sweets. How many sweets are there altogether?

Answers

Answer 1

Answer:

144 sweets

Step-by-step explanation:

Let

x----> number of sweets that Dan has

y----> number of sweets that Gordon has

z----> number of sweets that Malachy has

we know that

x=48

x/y=4/3----> y/x=3/4 ----> y=(3/4)x

Substitute the value of x

y=(3/4)48=36

x/z=4/5 ----> z/x=5/4 ----> z=(5/4)x

Substitute the value of x

z=(5/4)48=60

therefore

altogether there are  x+y+z=48+36+60=144 sweets


Related Questions

Kayleigh deposited $850 into a savings account

The equation A=d(1.005)^12t models the value of Kayleigh investment A after t years with an initial deposit d.

What would the value of Kayleigh’s investment be in 7 years round answers to the nearest cent

Answers

Answer:

fadsfdaskfgadsghkfdsaghfjdasbmncvxzgwgriuewryhdkewghdfskljghdfsgdfgasdgdfsgfdagdfsjkjbkb,kbnkbhkjbh

Step-by-step explanation:

dsafdasfdasdfasghdfsghdfshdfashndsfgndfgadgbadfgbafddryhbbgdrfbdf

Final answer:

The value of Kayleigh's investment in 7 years is approximately $930.05.

Explanation:

To find the value of Kayleigh's investment in 7 years, we can use the given equation A = d(1.005)^12t. Let's substitute the values: d = $850, t = 7.

Plugging in these values, we have A = 850(1.005)^(12*7).

Evaluating the expression, the value is approximately $930.05 when rounded to the nearest cent.

This implies that Kayleigh's initial investment of $850, compounded monthly at a rate of 0.5%, will grow to around $930.05 after 7 years.

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A group of 10 students participate in chess club, karate club, or neither. Let event A = The student is in karate club. Let event B = The student is in chess club.


One of these students is randomly selected. What is P(A/B)?

Answers

Answer:

option A

2/4 = 0.5

Step-by-step explanation:

Given in the questions that,

number of student in chess club = 4

P(B) = 4/10

number of student in karate club = 6

P(A) = 6/10

number of students who are both in chess and karate club = 2

P(A∩B) = 2/10

total number of students 10

Formula to use

P(A/B) = P(A∩B) / P(B)            = 2/10 / 4/10            = 2/4            = 1/2            = 0.50

Answer:

P(A/B) = P(A∩B) / P(B)

          = 2/10 / 4/10

          = 2/4

          = 1/2

          = 0.50

Step-by-step explanation:

What is the volume of the cylinder below?

Answers

Answer: hey, the answer will be choice number 2 or b

Step-by-step explanation:

For this case we have that, by definition, the volume of a cylinder is given by the following formula:

[tex]V = \pi * r ^ 2 * h[/tex]

Where do we have to:

A: It's the radio

h: It's the height

We have to:

[tex]h = 3\\r = 8[/tex]

Substituting the values we have:

[tex]V = \pi * (8) ^ 2 * 3\\V = \pi * 64 * 3\\V = 192 \pi \ units ^ 3[/tex]

Answer:

Option C

Greg wants to find the amount of concrete needed to cast a pillar he has designed. The pillar will have a base area of 1/28 square yard and a height of 1/14 yard. How much concrete does he need to cast the pillar?
A. 1/256 cubic yard
B. 1/392 cubic yard
C. 1/484cubic yard
D. 1/512 cubic yard

Answers

Answer:

  B.  1/392 cubic yard

Step-by-step explanation:

The volume is the product of base area and height:

  V = Bh = (1/28 yd²)·(1/14 yd) = 1/(28·14) yd³ = 1/392 yd³

Answer:

B. 1/392 cubic yard

Step-by-step explanation:

Given,

The base area of the pillar, B = [tex]\frac{1}{28}[/tex] square yard ,

Its height, h = [tex]\frac{1}{14}[/tex] yd

Thus, the volume of the pillar would be,

[tex]V=B\times h[/tex]

[tex]=\frac{1}{28}\times \frac{1}{14}[/tex]

[tex]=\frac{1}{28\times 14}[/tex]

[tex]=\frac{1}{392}\text{ square yard}[/tex]

Since, the concrete he needs to cast the pillar = Volume of the pillar

= [tex]\frac{1}{392}\text{ square yard}[/tex]

Option 'B' is correct.

A sphere has a diameter of 14 ft. What is its surface​ area? The surface area of the sphere is ft squared. ​(Type an exact answer in terms of pi​.)

Answers

Answer:

196

Step-by-step explanation:

edg 21

The formula for the surface area of a sphere is explained step by step using the given diameter to calculate the surface area in terms of pi. The result is that the surface area of the sphere with a 14 ft diameter is 196π ft².

To calculate the surface area of a sphere:

Identify the diameter of the sphere, which is given as 14 ft.Use the formula for surface area of a sphere: 4πr², where r is the radius (half of the diameter).Calculate the surface area by substituting the radius value (7 ft) into the formula: 4π(7 ft)².

Therefore, the surface area of the sphere with a diameter of 14 ft is 196π ft².

What is the value of p?
[tex]x=-\frac{1}{8} y^2[/tex]

**The question is not incomplete. Thank you**

Answers

ANSWER

[tex]p = - 2[/tex]

EXPLANATION

The given equation is

[tex]x = - \frac{1}{8}{y}^{2} [/tex]

Multiply both sides by -8

[tex] \implies \: {y}^{2} = - 8x[/tex]

We now compare this to the general equation of the parabola:

[tex] {y}^{2} = 4px[/tex]

This implies that,

[tex]4p = - 8[/tex]

Divide both sides by 4.

[tex]p = \frac{ - 8}{4} [/tex]

[tex]p = - 2[/tex]

At 10:00 AM a truck started traveling from point A with a speed of 40mph. 3 hours and 10 minutes later a car started to drive from point A in the same direction with an average speed of 60mph. At what time will the car catch up with the truck?

Answers

Answer:

  7:30 pm

Step-by-step explanation:

The difference in speed is 20 mph, half as fast as the truck's speed. This is the speed at which the gap is closed. So, the head start that the truck has will be closed in a time after the car started that is twice as long as the time before the car started. That is, they will meet at ...

  10:00 + 3:10 + 2×3:10

  = 13:10 + 6:20 = 19:30 . . . . . 7:30 pm

Answer:

7:30 pm that is the answer i solved it

What is the surface area of the regular pyramid below?

A. 1512 units^2
B. 700 units^2
C. 1124 units^2
D. 756 units^2

Answers

ANSWER

B. 700 units^2

EXPLANATION

The surface area of the pyramid is the area of the four triangular faces plus the area of the square base.

The area of the four triangular faces is

[tex] = 4 \times \frac{1}{2} \times bh[/tex]

We substitute b=14 and h=18.

[tex] = \frac{1}{2} \times 14 \times 18 \times 4[/tex]

[tex] =504 {units}^{2} [/tex]

The area of the square base

[tex] = {14}^{2} = 196 {units}^{2} [/tex]

The surface area of the pyramid is

[tex] = 196 + 504 = 700 {units}^{2} [/tex]

The top of an antenna tower is 125 ft. above level ground. The tower is to be guyed 20 ft. from its top to a point on the ground 80 ft. from the base of the tower· What is the length of the guy wire?

Answers

o see what is going on, we simply draw a triangle. Since the tower is 125 feet high, but the guy wire is 20 feet from the top, the triangle is 125 - 20 = 105 feet high, then 80 feet long.

Using the pythagorean theorem, 105^2 + 80^2 = g^2

g^2 = 11025 + 6400 = 17425

g = sqrt(17425)

g = 132.0038 feet = 132 feet

Hope this helps!

The length of the guy wire is 132 ft, determined by using the Pythagorean theorem with the given vertical and horizontal distances.

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

First, note that the height from the ground to the attaching point of the guy wire is 125 ft - 20 ft = 105 ft.The horizontal distance from the base of the tower to the point where the guy wire is attached on the ground is 80 ft.Use the Pythagorean theorem: a² + b² = c², where a = 105 ft and b = 80 ft.Calculate: 105² + 80² = c²11025 + 6400 = c² => 17425 c = √17425 => c ≈ 132 ft.

Therefore, the length of the guy wire is 132 ft.

Complete question:

The top of an antenna tower is 125 ft. above level ground. The tower is to be guyed 20 ft. from its top to a point on the ground 80 ft. from the base of the tower· What is the length of the guy wire?

68 ft132 ft148 ft

What is the function rule for g?

Answers

Answer:

[tex]g(x)=8(2^x)[/tex]

Step-by-step explanation:

Here we are given with parent function [tex]f(x)=2^x[/tex] and the graph which shows that the function g(x).

We are asked to guess the function g(x).

We are given the two coordinates on g(x)

(0,8) and (2,32)

Hence for x = 0 , g(x)= 8

And for x=2, g(x)= 32

Let us say that the translated function is represented by

[tex]g(x)=a2^x+b[/tex]

[tex]g(0)=a\times 2^0+b[/tex]

Hence

[tex]a \times 2^0+b=8[/tex]

[tex]a +b=8[/tex] --------------- (i)

also

[tex]g(2)=32[/tex]

Hence

[tex]a\times 2^2+b=32[/tex]

[tex]4a+b=32[/tex] -------------------(ii)

Subtracting (i) from (ii) we get

[tex]3a=34[/tex]

Hence a = 8

Now putting this value of a in (i)

[tex]8+b=8[/tex]

B=0

Hence [tex]g(x)=8 \times 2^x +0[/tex]

[tex]g(x)=8(2^x)[/tex]

Kite WXYZ is graphed on a coordinate plane. What is the area of the kite?

7 square units

8 square units

14 square units

16 square units


Answers

Answer:

14 square units

Step-by-step explanation:

There are several ways we can find the area.  Probably the easiest is to cut the kite in half vertically and find the area of each triangle.  The area of the kite will be double that.

The height of the kite is 7 units, and the width is 4 units.  So each triangle will have a base of 7 and height of 2.

A = 1/2 bh

A = 1/2 (7) (2)

A = 7

The area of the kite is double that, so:

2A = 14

The area of kite WXYZ in the coordinate plane given is: C. 14 square units.

What is the Area of a Kite?

Area of a kite = pq/2, where p and q are the diagonal lengths of the kite.

The dimensions of the kite are:

p = 4 unitsq = 7 units

Area of the kite = (7×4)/2

Area of the kite = 14 square units

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someone, please help me!!

Answers

Answer:

5,5

Step-by-step explanation:the slope is going up 1 and to the right 3 3/1

Answer:

Step-by-step explanation:

5,5 that is the answer my frienddd

sand is falling at the rate 27 cubic feet per minute onto a conical pile whose radius is always equal to its height. how fast is the height of the pile growing when the height is exactly (a) 3 feet (b) 6 feet (c) 9 feet.

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(area of base)(height).  If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r.  Shortened, this comes out to V = (1/3)(π)(h³).  

We want to know how fast h is increasing when h = 3 ft.

Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt).  Set this derivative = to 27 ft³/min and set h = 3 ft.

Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt:  (3/π) ft/min = dh/dt when h = 3 ft.

The volume of a cone with a height of 9 inches and a base area of 7 square inches is 21 cubic inches.

True
False

Answers

Answer:

True

Step-by-step explanation:

we know that

The volume of a cone is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base

H is the height of the cone

we have

[tex]B=7\ in^{2}[/tex]

[tex]H=9\ in^{2}[/tex]

substitute

[tex]V=\frac{1}{3}(7)(9)[/tex]

[tex]V=21\ in^{3}[/tex]

therefore

The answer is True

I ONLY GOT ONE SHOT!! PLEASE HELP, IT'S KIDA EASY IG, IM JUST DUMB.. WILL GIVE BRAINLIEST AND VOTE!! AT LEAST LOOK


1. Consider the function f(x)=x2


What effect does subtracting 2 from the input have on the graph of the function?
(PICK ONE)

A Shifts the graph up 2.
B Shifts the graph right 2.
C Stretches the graph vertically by 2.
D Compresses the graph horizontally by 2.
E Shifts the graph down 2.
F Shifts the graph left 2.


Answers

Answer:

Shifts the graph left 2, would look like  

(x+2)^2

Step-by-step explanation:

Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. Leave your answers in terms of pi.

Answers

Answer:

See below in bold.

Step-by-step explanation:

Area of a circle with radius 2 cm = πr^2 =  π * 2^2 = 4π cm^2.

Area of a circle with radius  4 cm = πr^2 =  π * 4^2  = 16π cm^2.

The area of w is 289 pi m². Find the circumference of w A. c=17 pi m B. c= 34 pi m C. c=68 pi m D. c=289 pi m

Answers

The area of w is 289 pi m². Find the circumference of w A. c=17 pi m B. c= 34 pi m C. c=68 pi m D. c=289 pi m

Answer: 34 pi

Step-by-step explanation:

A jeweler needs 50 ounces of a 21% silver alloy. Find the amount of a 12% silver alloy and the amount of a 24% silver alloy he should mix. Solve using a system of equation.


Need by today!! please show formula and work!!!!

Answers

Answer:

12.5 ounces of 12% alloy37.5 ounces of 24% alloy

Step-by-step explanation:

Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...

  24%·x + 12%·(50 -x) = 21%·50

  12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600

  x = 37.5 . . . . . . . divide by 12

The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.

Please answer this question only if you know the answer!! 30 points and brainliest!

Answers

Bar graphs are easy to understand, widely used, and can show changes over time. That gives them an advantage over other graphs that are difficult to read or can only show a single data set.

They use vertical or horizontal bars to represent data along both an x-axis and a y-axis visually. Each bar represents one value, so it'll be an advantage for Peter because he can add as many colours he wants and the graph would still be easy to read. When the bars are stacked next to one another, the viewer can compare the different bars, or values, at a glance.

Find the equation of the tangent line to the curve x^2 + xy + y^2 = 3 at the point (1,1)

Answers

Answer:

y = -x + 2

Step-by-step explanation:

We first need to find the derivative of the equation x² + xy + y² = 3. this is done with implicit differentiation

2x + y + xy' + 2yy' = 0

Get terms with y' to one side, and the other terms to the other side of the equals sign...

xy' + 2yy' = -2x - y

Factor out y'...

y'(x + 2y) = -2x - y

Divide both sides by x + 2y

y' = (-2x - y)/(x + 2y)

This is the formula for the slope of the lines tangent to the curve of the original function.

Plug in the given point (1, 1) to find the slope of this

y' = (-2[1] - 1)/(1 + 2([1])

y' = -3/3

y' = -1

To find the equation of the line:

The general form for a linear equation in slope-intercept form is  

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

Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (1, 1), which is (x, y), and we know that  

m = -1

The equation becomes...

1 = -1(1) + b (now solve for b)

1 = -1 + b

2 = b  

Plug that value into the general form...

y = -x + 2

See attached photo for the graphs of the original equation, and the graph of the tangent line at (1, 1)

Ana preparo chicha morada con 30 porciento de maiz concentrado y 70 porciento de agua.Si bebio el 30 porciento de la chicha morada y reemplazo esa cantidad de agua .Que porcentaje de la nueva mezcla es concentrado de maiz morado?

Answers

Answer:

No se, lo siento

Step-by-step explanation:

Answer:

noswe:C  perdon  

Step-by-step explanation:

a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length of the hypotenuse if the triangle? round to the nearest tenth.

Answers

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

By definition, the sine of an angle is:

[tex]sin(x) = \frac{opposite\ side}{hypotenuse}[/tex]

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.

With this information we can find the length of the hypotenuse h

[tex]sin(80\°) =\frac{4}{h}\\\\h = \frac{4}{sin(80\°)}\\\\h = 4.062\ in[/tex]

Finally the length of the hypotenuse is 4.1 in

Answer:

B: 4.1 in.

Step-by-step explanation:

on edge! hope this helps!!~ ⊂((・▽・))⊃

Please help me with this!

Answers

Use Pythagorean theorem

[tex]y=\sqrt{6+10}=\boxed{4}[/tex]

You can solve this using Pythagorean theorem

[tex]\sqrt{10^{2} -6^{2} }[/tex] = 8

Please help me solve this!!

Answers

Answer:

WR = 26

Step-by-step explanation:

Givens

UT = 10

VS = 18

WR = ??

Formula

(WR + UT) / 2 = VS

Solution

Substitute

(WR + 10) /2 = 18

Multiply both sides by 2

(WR + 10/2 * 2 = 18 * 2

Do the multiplication

WR + 10 = 36  

Subtract  10 from both sides

WR + 10 - 10 = 36 - 10

WR = 26

What’s the answer please and thank you!

Answers

Answer:

Subtraction Property on Equality.

Step-by-step explanation:

2. 15x + 6 = -24

15x + 6 - 6 =  -24-6

15x = -30

Subtraction Property on Equality.

A toy store's percent of markup is 40%.A model train costs the store $90. Find the markup

Answers

Answer:

$126

Step-by-step explanation:

First, use the general percent equation (y is x% of z, y being your part percentage, x being your percent, and z being your whole base).

y = 40% x 90 --> .4 x 90 = 36

y = 36

Now, simply add the part percentage (36) to the original whole base.

90 + 36 = 126

The markup price of the model is equal to $126.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a toy store's per cent of markup is 40%. A model train costs the store $90.

First, use the general per cent equation (y is x% of z, y being your part percentage, x being your per cent, and z being your whole base).

y = 40% x 90 --> .4 x 90 = 36

y = 36

Now, simply add the part percentage (36) to the original whole base.

90 + 36 = 126

The markup price of the model is $126.

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Write the equation in standard form for the circle with radius 8 centered at the origin.

Answers

Answer:

x^2 + y^2 = 8^2

Step-by-step explanation:

The general equation in standard form here is x^2 + y^2 = r^2.

Replace r with 8, obtaining:

x^2 + y^2 = 8^2

The standard form equation of a circle with a radius of 8 and centered at the origin is x² + y² = 64.

The equation for a circle centered at the origin with a given radius can be written in standard form. For a circle with a radius of 8, which is centered at the origin, the standard form equation is x² + y² = 64. This equation is derived from the general formula for a circle's equation in standard form, which is (x - h)² + (em)(y - k)² = R², where (h, k) is the center of the circle and R is the radius. Since the center is at the origin, h and k both equal zero.

Please help me out please

Answers

Alright first get the sector formula which is

(3.14)(r)^2(measure of the degrees / 360) now plug it in the formula

(3.14)(8.91)^2(81/360)

3.14 x 79.4 x 81 = 20,194.596/360 = 56.1 cm squared and that I believe should be the answer to that :)

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Which situation involves descriptive statistics?

Answers

Answer:

Step-by-step explanation:

The last three situations involve "descriptive statistics," which could mean measures of central tendency and measures of the spread of data.  The first one does not, since no exploratory work has yet been done.  

It's important that you look up terms such as this one and be able to come up with examples on your own.

Which table does NOT represent a function?
A)
B)
C)
D)

Answers

Answer: D.

Step-by-step explanation: Your Answer Is D. This Does Not Represent A Function.

A table that does not represent a function include the following; D. table D.

What is a function?

In Euclidean Geometry, a function refers to a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set P) to an output variable (Set Q).

In this context, we can logically deduce that table D does not represent a function because the same input value is mapped to different output values;

0 ↔ -1

0 ↔ 4

0 ↔ 6

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