Mrs. Smith bought 6.2 kg of cassava and 1 kg 250 g of bananas. What is the total weight in kg? ​

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

Let's define the variables:

x = number of 10-oz cups of coffee sold.

y = number of 14-oz cups of coffee sold.

z = number of 20-oz cups of coffee sold.

We know that:

Kyle served 21 cups of coffee, then:

x + y + z = 21

He used 294 ounces of coffee, then:

x*10 oz + y*14 oz + z*20 oz = 294 oz

He collected a total of $24.35, then:

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

Then we have a system of 3 equations:

x + y + z = 21

x*10 oz + y*14 oz + z*20 oz = 294 oz

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

To solve this, the first thing we need to do is isolate one of the variables in one of the equations, let's isolate x in the first one.

x = 21 - y - z

Now we can replace this in the other two equations to get:

(21 - y - z)*10 oz + y*14 oz + z*20 oz = 294 oz

(21 - y - z)*($0.95) + y*($1.15) + z*($1.50) = $24.35

Now we can simplify these two equations:

y*4 oz + z*10 oz = 294 oz - 210oz = 84 oz

y*($0.20) + z*($0.55) = $24.35 - $19.94 = $4.40

Now we need to do the same thing, we need to isolate one of the variables in one of the equations, we can isolate z in the first one:

z*10 oz = 84oz - y*4 oz

z = (84oz - y*4 oz)/10oz

z = 8.4 - y*0.4

Now we can replace this in the other equation:

y*($0.20) + ( 8.4 - y*0.4)*($0.55)  = $4.40

Now we can solve this for y.

y*($0.20) + $4.62 - y*$0.22 = $4.40

y*$0.02 = $4.40 - $4.62 = $0.22

y = $0.22/$0.02 = 11

Now that we know the value of y, we can use:

z = 8.4 - y*0.4

z = 8.4 - 11*0.4 = 4

Now that we know the value of z and y we can use:

x = 21 - y - z

x = 21 - 11 - 4 = 6

Then we found:

x = 6

y = 11

z = 4

this means that:

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

If you want to learn more about systems of equations, you can read:

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Step-by-step explanation:

the answer is 640. Hope this helps

The side length of dilated cubes is 10.08 units. Then the surface area of the dilated cube is 609.6384 square units.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

A solid has a volume of 2 cubic units and a surface area of 10 square units.

The solid is dilated, and the image has a volume of 128 cubic units.

Let the original side length of the cube be a and dilated length of the cube be b.

The value of a will be

[tex]a^3 = 2\\\\a \ = 1.26[/tex]

Then the ratio of their volume will be

[tex]\rm \dfrac{b^3}{a^3} = \dfrac{Dilated \ volume }{Original \ volume }\\\\\\\dfrac{b^3}{a^3} = \dfrac{128}{2}\\\\\\\dfrac{b^3}{a^3} = 64\\\\\\\dfrac{b}{1.26} = 8\\\\\\b \ = 10.08[/tex]

Then the surface area of the dilated cube will be

[tex]\rm Dilated \ surface \ area = 6 *10.08^2\\\\Dilated \ surface \ area = 6*101.6064\\\\Dilated \ surface \ area = 609.6384 \ square \ units[/tex]

More about the dilation link is given below.

https://brainly.com/question/2856466

Answer: The coefficient before x^4 is 60

Step-by-step explanation:

Hey! So I am not an expert at this, but you have to use the binomial theorem

I have attached of the Pascals Triangle (one shows the row numbering as well)

Basically in a pascal triangle, you add the two numbers above it to get the next number below

As you can see, the rows start from 0 instead of 1

The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms

NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)

Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)

It would be 15 × 2^4 × (1/2)^2 = 60

The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power

Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)

Answer:

0

Step-by-step explanation:

If you are looking for the x- intercept image is below

if you are looking for the y- intercept its the same as the x. Image is below

5x+3=0

5x=–3

x=–3/5

x=– 0.6

Answer:

x = -3/5

Step-by-step explanation:

0 = 5x + 3

shift 3 to left hand side . when u are shifting 3 to other side it becomes negative

0 - 3 = 5x

-3 = 5x    (5x means 5*x)

now shift 5 to left hand side . multiplication changes to division when u shift.

-3/5 = x

Answer:

y=3/4x-9/2

Step-by-step explanation:

Answer:

[tex]\theta = 64.8^o[/tex]

Step-by-step explanation:

Given

[tex]h = 500m[/tex] --- altitude

[tex]x = 235m[/tex] --- horizontal distance

Required

The angle of elevation [tex]\theta[/tex]

The question is illustrated with the attached image.

From the attachment,

[tex]\tan(\theta) = \frac{h}{x}[/tex]

This gives:

[tex]\tan(\theta) = \frac{500m}{235m}[/tex]

[tex]\tan(\theta) = 2.128[/tex]

Take arctan of both sides

[tex]\theta = \tan^{-1}(2.128)[/tex]

[tex]\theta = 64.8^o[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the numbers of $8 and $7 shirts, respectively. Your system of equations can be written ...

  x + y = 9

  8x +7y = 69

Subtracting 7 times the first equation from the second gives ...

  (8x +7y) -7(x +y) = (69) -7(9)

  x = 6

Then y is ...

  y = 9 -x = 9 -6 = 3

Amanda bought 6 tees costing $8 and 3 tees costing $7.

Answer:

i dont know hahaha

Step-by-step explanation:

soryy

Answer:

20

Step-by-step explanation:

2g =  -3.5x2 = -7

-7 - 5= -12

8 - -12=20

Answer:

Step-by-step explanation:

The curve is symmetric about x = 1

so does not qualify for y-axis symmetry, nor the others.

Answer:

[tex]{ \tt{ {a}^{8} - {12a}^{4} + 36}} \\ = { \tt{ {a}^{4} ( {a}^{2} - 12) + 36 }} \\ = ( {a}^{2} - 12)( {a}^{4} + 36) \\ [/tex]

Answer:

7

Step-by-step explanation:

|-7|  means find the distance from 0

We take the non negative value

|-7| = 7

Answer:

? = 7/2

Step-by-step explanation:

? = x

a denominator can’t be equal to 0

x ≠ 0

14/x = 4

14 = 4x

x = 7/2

Answer:

he would have 74 pennies i think

Step-by-step explanation:

he already has 11 pennies on the first day and each day after he gets 7 more. so putting that into a equation,specifically y=mx+b, the equation would be y=7x+11. since there are 9 days after that,9 would replace the x value. so you would plug 9 in making the new equation y=7×9+11. all u do now is solve, 7×9 is 63,then plus 11 is 74

Answer:

The slope is -2

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,45)[/tex]

[tex](x_2,y_2) = (6,33)[/tex]

[tex](x_2,y_3) = (15,15)[/tex]

Required

The slope (m)

Slope is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{33 -45}{6 - 0}[/tex]

[tex]m = \frac{-12}{6}[/tex]

[tex]m =-2[/tex]

For percentages, we divide the part by the whole. In this case, the part is the number of calories from fat and the whole is the total number of calories.

10 / 210 = 0.0476 = 4.76%

Then, we need to round to the nearest tenth.

The answer is 4.8%

Hope this helps!

Answer:

Step-by-step explanation:

A). "If you do not study and fail the next test"

  Two statements are combined in the given statement.

  "If you don't study" and "fail the next test"

  Second statement is the consequence of the first statement.

  Therefore, events are dependent.

B). If you select a card from a deck and without replacing it, you select another card.

  Here, selection of a card from a deck without replacing it doesn't affects the selection of another card.

  Therefore, both the events are independent.

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {3.82}) }^{2} }} \\ { \tt{ = 45.8 \: {m}^{2} }}[/tex]

Answer:

firstly

we all know that the angles of a triangle they all add up to 180° meaning when you add them all they must give you 180°

88°+33°+L = 180° ( sum of angle in a ∆)

121° + L = 180°

L = 180° - 121°

L = 59°

Step-by-step explanation:

first you you must add all your angles and all equal to 180°

that you add the like terms

than you transpose 121° to the right hand side

Answer:

The campsites can be chosen in 5,765,760 different ways.

Step-by-step explanation:

Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:

16 x 15 x 14 x 13 x 12 x 11 = X

240 x 182 x 132 = X

240 x 24,024 = X

5,765,760 = X

Therefore, the campsites can be chosen in 5,765,760 different ways.

Answer:

The length is 46 inches and the width is 19 inches

Step-by-step explanation:

Let w represent the width.

The length of the rectangle can be represented by 2w + 8, since it is eight more than double the width.

Use the perimeter formula, p = 2l + 2w. Plug in 130 as the perimeter and 2w + 8 as l, then solve for w:

p = 2l + 2w

130 = 2(2w + 8) + 2w

130 = 4w + 16 + 2w

130 = 6w + 16

114 = 6w

19 = w

So, the width is 19 inches. Plug in 19 as w into 2w + 8 to find the length:

2w + 8

2(19) + 8

38 + 8

= 46

The length is 46 inches and the width is 19 inches

Answer:

C. y = 2x - 3

Step-by-step explanation:

you look at the number without the x. and the minus three means it's negative. But if it's a plus three then it's positive

Answer:

The second answer.

Step-by-step explanation:

Tim is correct. Absolute value is just the distance away from 0. In this case, both P and Q are 3/8 away from zero, even though they have opposite signs. In fact, opposites signs of the same number will always have the same absolute value because they are the same distance from 0.

So, it is the second one.

Hope this helps!

Answer:

2nd answer choice:

Tim, because each point is 3/8 unit away from 0

Step-by-step explanation:

The absolute value of a number is how far it is from 0 in the number line, not including direction.

On this number line, point P is -3/8 and point Q is 3/8.

In the number line, count how many units each point is away from 0. You will find that they each have a distance of 3/8 from the number line. Therefore they have the same absolute values.

PS: absolute values are NEVER negative.

Hope this helps!

Answer:

the answer will - 16

Step-by-step explanation:

because 8 minus 1 is 7 and plus 0 is also 7 then you have add 1 means you have to plus 1 and then their will be 8 and then plus another 8 and the answer will be minus 16

The y values of the table for the function will be -2, -1, 0, 1, and 2.

The given function is y = 3✓x. Therefore, for x = -8, y = 3✓-8 = -2. For x = -2, y will be = 3✓-1 = -1.

For x = 0, y = 3✓0 = 0. When x = 1, y = 3✓1 = 1 and lastly when x = 8, y = 3✓8 = 2.

In conclusion, the y values of the table for the function will be -2, -1, 0, 1, and 2.

Learn more about t tables on:

https://brainly.com/question/12488423

Answer:

cosine 44 = 6 / x

x = 6 / cosine 44

x = 6 / 0.71934

x = 8.34097

Step-by-step explanation: