The volume of an object is equal to the ratio of its mass to density, V = StartFraction m Over d EndFraction. The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.

What is the radius of the grape? Round to the nearest tenth of a centimeter.

1.0 cm
1.5 cm
1.9 cm
2.1 cm

Answer:

To find how much money they shared first find the total parts

Which is

5 + 7 + 8 = 20

Deila's share is

5 /20 × £1600

= 1/4 × £1600 = £ 400

Edwin's share is

7/ 20 ×£1600 = £560

Freya's share is

8/20 × £1600

= 2/5 × £1600 = £640

Hope this helps you

Answer:

£ 40,000

Step-by-step explanation:

Given that:

Freya receives 8 parts of the total amount

8 parts = £1600

this means, we can calculate 1 part:

8 parts  = £1600

1 part =£1600/8 = £ 2000

Now, we are able to calculate the total share :

Total number of parts = 8 + 5 + 7 = 20

1 share = £2000

So, 20 shares = £40000

hope this helps,

Good Luck

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Answer:

1458/3456 = 27/64 (simplification)

cube root of 27/64 = 3/4

square of 3/4 = 9/16

9/16 multplied by 1024 = 576.

THIS IS THE REAL WORKING AND ANSWER

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The surface area of the smaller container is 576 cm²

Two shapes or solids are similar if their corresponding sides are in the same proportion and their corresponding angles are equal.

Given that, The two containers are mathematically similar in shape, the larger container has a volume of 3456 cm³ and a surface area of 1024 cm². The smaller container has a volume of, 1458 cm³.

We know, that the cube of scale factor is equal to ratio of volumes of given shape and ratio of surface area is equal to square of scale factor.

1458/3456 = 27/64

∛27/64 = 3/4

Therefore, the scale factor = 3/4

(3/4)² = 9/16

9/16x1024 = 576.

Hence, The surface area of the smaller container is 576 cm²

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Answer:

5 batches of bagels-15 cups of flour

1 batch of bagels - 15 cups is flour/5

=3 cups of flour(ciro)

20 batches of bagels-15 cups of flour ×4

=60 cups of flour(johanna)

Answer:

7 [tex]\frac{37}{55}[/tex]

Step-by-step explanation:

In order to solve an equation like this, you'll need to find a common denominator for your Fraction.

7 [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{11}[/tex]

7 [tex]\frac{22}{55}[/tex] + [tex]\frac{15}{55}[/tex]

7 [tex]\frac{37}{55}[/tex]

Answer:

D. 1800°

Step-by-step explanation:

The given polygon has 12 sides.

The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.

Where n is the number of sides of the polygon.

Thus, the sum of the interior angles of the 12 sided polygon given above is:

(12 - 2) × 180

= 10 × 180 = 1800°

Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°

Answer: After 210 seconds they with next flash at the same time.

Step-by-step explanation:

Given: Ardem has two lights.

One flashes every 15 seconds the other flashes every 42 seconds.

If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42)   [LCM - Least common multiple]

Prime factorization of 15 = 3 x 5

Prime factorization of 42 = 2 x 3 x 7

Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210

i.e. After 210 seconds they with next flash at the same time.

Answer:

the point of intersection would be (2,2)

The point of intersection is at (2, 2)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line with equations:

y = 3 x − 4  and y = 1/ 2x + 1

Plotting the graphs using geogebra online tool, the point of intersection is at (2, 2)

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Answer:

x = Rs 20,833.33

the value of x is Rs 20,833.33

Step-by-step explanation:

Let x,y and z represent the price of the item initially, after one month and after two months respectively.

Given that;

after one month its label price is reduced by 20%

y = x - 20% of x

y = x - 0.20x

y = 0.80x ........1

after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.

z = y - 10% of y

z = y - 0.10y

z = 0.90y ........2

Substituting equation 1 into 2;

z = 0.90(0.80x)

z = 0.72x

Also z = Rs 15000

So,

z = 0.72x = Rs 15000

0.72x = Rs 15000

x = Rs 15000/0.72

x = Rs 20833.33333333

x = Rs 20,833.33

the value of x is Rs 20,833.33

Answer:

5

snake population at time zero, or the initial snake population, is 5

Step-by-step explanation:

Since we see point (0, 5) written on the graph, we see that the y-intercept is 5.

That means that the snake population at time zero is 5. The initial snake population was 5.

Answer:

24 terminal zeros

Step-by-step explanation:

Here, we want to know the number of terminal zeros that the product if the integers above has

Terminal zeros refer to the zeros at the right of the last non zero digits

The product we are dealing with is;

80^16 * 75^8

80^16 itself has 16 terminal zeros

while 75^8 should have 8 terminal zeros

So the total number of expected terminal zeros is simply the addition of both terminal zeros and that gives 16 + 8 = 24 terminal zeros

Answer:

24

Step-by-step explanation:

Answer:

d on edginuity

Step-by-step explanation:

i know for a fun fact

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

Answer: A

Step-by-step explanation: Took the test

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

Answer:

16

Step-by-step explanation:

2x² - 5x - 17

Put x as -3 and solve.

2(-3)² - 5(-3) - 17

2(9) - (-15) - 17

18 + 15 - 17

= 16

Answer:

1.206

Step-by-step explanation:

13.4 × 0.05 × 1.8

= 67/5 × 5/100 × 9/5

= 603/500

= 1.206

Answer:

12a^2+18ab-6ac+25a-3b+c

Step-by-step explanation:

Answer:

[tex]\sqrt{37}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)

d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]

   = [tex]\sqrt{6^2+(-1)^2}[/tex]

   = [tex]\sqrt{36+1}[/tex]

    = [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )

Answer:

2.73

Step-by-step explanation:

2.72(6)03

use 6= 2.73

Answer:

C

Step-by-step explanation:

1÷2×8×3=12

Answer:

The two sides of the triangle are equal so by the property that : If  opposite sides of a triangle are equal then the opposite angles are also equal .

Area of triangle = 1/2 multiplied by base and also multiplied by height

A =1/2*b*h

So, we can conclude that the opposite angles are 90 + 90 degrees = 180 degrees (as the angles are equal)

Therefore, c)1/2 *8*3  is right

Answer:

[tex]x = 2, 12[/tex]

Your correct answer is D, since I don't see a -12.

Step 1: Subtracting 2 from both sides

Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.

[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]

Step 2: Factoring the equation

Part 1

After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:

[tex]x^2-10x-24\\[/tex]

First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):

[tex]-6 * 4=-24\\[/tex]

But:

[tex]4-6\neq 10\\[/tex]

So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.

[tex]-12*2=-24\\2-12=-10[/tex]

Part 2

With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.

[tex](x,?)(x,?)[/tex]

Now, we place -12 and 2 in those places.

[tex](x,-12)(x,2)[/tex]

To find x, we have to plug in the equal sign and 0 from the beginning.

[tex](x,-12)(x,2)=0[/tex]

Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.

To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.

x - 12 = 0

12 - 12 = 0

x - 2 = 0

2 - 2 = 0

12 and 2 are our solutions! Hope this helps :)

Answer:

12  and 2

Step-by-step explanation:

factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2

Answer:

The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.

Step-by-step explanation:

We are given that a new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.

Let the amount of sodium per serving, in milligrams, in the new soup recipe be 'y' and the amount of sodium per serving, in milligrams, in the old soup recipe is given to us as 'x'.

So, according to the question, the condition states that;

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe, that means;

                      [tex]y = x- 33\% \text{ of } x[/tex]

                      [tex]y = x- \frac{33}{100} \times x[/tex]

                      [tex]y = \frac{100x - 33x}{100}[/tex]

                      [tex]y = \frac{67x}{100}[/tex]

                      y = 0.67x

Hence, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.

Answer:

20

Step-by-step explanation:

y = 35x + c

Put x as 1, and y as 55.

55 = 35(1) + c

55 - 35 = c

20 = c

Answer:

substitude (2x+4) for y in the second equation

Answer:

top right

Step-by-step explanation:

Because the first equation is already set up for us in the form "y = something" the easiest way would be to substitute (2x + 4) for y in the second equation.

Answer:

$48

Step-by-step explanation:

$400/24=16

16/6=2

2x24=$48

Answer:

I believe the answer will be $48 dollars

Step-by-step explanation:

Hopefully this helps. see ya later!!!!!

Answer:

Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)

Plab B = 1000 dollars to be invested in an account that pays 5% interests per year  (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)

The correct answer is Plan A will be worth more than plan B after two years.

Step-by-step explanation:

Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)

Plab B = 1000 dollars to be invested in an account that pays 5% interests per year  (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)

Plan A will be worth more than plan B after two years.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, WE get;

For Plan A,

1000 dollars to be invested in an account that pays 100 dollars per year.

Hence, We get;

(1000 + 100 = 1100 dollars in a year

For Plan B;

1000 dollars to be invested in an account that pays 5% interests per year

So, WE get;

(1000 x 0.05 = 50

Hence, Total in a year,

= 1000 + 50

= 1050 dollars per year)

Thus, the correct answer is,

⇒ Plan A will be worth more than plan B after two years.

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Answer:

[tex](x+2)^2} +(y-1)^2}=5[/tex]

Step-by-step explanation:

[tex](x-h)^2} +(y-k)^2}=r^2[/tex]

r=[tex]\sqrt{5}[/tex]

h=-2

k=1

Plug in

[tex](x+2)^2} +(y-1)^2}=5[/tex]

Answer: The answer is B

Step-by-step explanation:

Answer:

Option B is correct

Step-by-step explanation:

cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2

=> Option B is correct

Answer:

the correct answer is

lets say the number xy (x in tens place and y in units place)

first equation (x+y =10 i.e x=10-y

also 3x-2y=15 i.e 2y=3x-15)

second equation

substitution the value of x from first equation in second equation (or you can do vice- versa)gives you 2y=3(10-y)-15 and so,

2y=30-3y-15 i.e5y=15 and y=3

since x=10-y; x=10-3 which is 7

the answer is 73.

Step-by-step explanation:

hope this helps you!!!!

Answer:

Option D.

Step-by-step explanation:

If a number can be written in the form of [tex]\dfrac{p}{q},q\neq 0[/tex], then it is know as rational number.

We know that,  

Terminating decimal is always a rational number. and non-terminating decimals are rational if they are repeating decimals.

From the given options all numbers are non-terminating decimals but 5.3333333... is a number with repeating decimal.

So, 5.3333333... is a rational number.

Therefore, the correct option is D.

Answer:

X=4

Step-by-step explanation:

12x-3=45

12x. =45+3

12x. =48

X=4

The value of x is 10, given that the two triangles are similar to each other.

The corresponding sides of a pair of similar triangles are in proportion.

This can be shown like this:

If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,

AB/XY = BC/YZ = CA/ZX.

In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.

∴ Δ SER ~ Δ GEF.

By properties of similar triangles, we can write that:

SE/GE = ΔER/EF = RS/FG,

or, 45/(12x - 3) = 55/143 = RS/FG.

We can use the first two parts of the relation, to form an equation in x, and solve for it.

∴ 45/(12x - 3) = 55/143

or, 12x - 3 = (45 * 143)/55 =  117

or, 12x = 117 + 3 = 120

or, x = 120/12 = 10.

∴ The value of x is 10, given that the two triangles are similar to each other.

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Answer:

  A)  f'(c) = 3

Step-by-step explanation:

The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...

  a < c < b

  f'(c) = (f(b) -f(a))/(b -a)

__

We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...

  f'(c) = (12 -(-3))/(4 -(-1)) = 15/5

  f'(c) = 3 . . . . for some c in the interval -1 < c < 4