Alma was making soup, her recipe called for 24 potatoes, 15 carrots, and 4 stalks of celery.How many onions should she add, if it needs to be the same amount as the average of the potatoes and carrots?

Answer:

1. x = 6.1

2. x = 95.5

3. x = 0.51

4. x = 94.4

5. x = 5.3

Step-by-step explanation:

I did this in degree mode, with SOH CAH TOA. The * sign represents the degree sign in my explanation.

1. sin 34* = 3.4/x   ->  x(sin34*) = 3.4  ->  x = 3.4/(sin34*) -> 6.1

2. cos 57* = 52/x  ->  x(cos57*) = 52  -> x = 52/cos57* = 95.5

3. tan63* = 1/x  -> x = 1/tan63* = 0.51

4. tan58* = x/59  -> 59(tan58*) = x  -> x = 94.4

5. cos55* = x/9.3  -> 9.3(cos55*) = x  -> x = 5.3

Answer:

a>4

Step-by-step explanation:

Answer:

If a and b are either both positive integers or both negative integers

Step-by-step explanation:

If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.

Integers are numbers without decimal points.

The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0

From the question, we have:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by a

[tex]\mathbf{b > 0}[/tex]

Divide both sides by b

[tex]\mathbf{a > 0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]

Another possible condition is that:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by -a

[tex]\mathbf{b<0}[/tex]

Divide both sides by -b

[tex]\mathbf{a<0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]

Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign

Read more about integers at:

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Answer:

392

Step-by-step explanation:

1 cm is 56, you would multiply that by 7 to get 392.

Answer:

Here is the answer.

Step-by-step explanation:

Answer:

3(x-4)=6x-2(x+3)

3x-12=6x-2x-6

3x-12=4x-6

3x-4x=-6+12

-x=6

:.x=-6

✿[tex]\underline{\textbf{\textsf{ \purple{Solution}:- }}}[/tex]

[tex]\sf{\\}[/tex][tex]\sf3(x - 4) = 6x - 2(x + 3)[/tex] [tex]\longrightarrow \sf3x - 12 = 6x - 2x - 6 [/tex] [tex]\longrightarrow\sf3x - 12 = 4x - 6[/tex] [tex]\longrightarrow\sf3x - 4x = 12 - 6 [/tex]

[tex]\longrightarrow\sf -x = 6[/tex]

[tex]\leadsto \underline{\boxed{\mathfrak{ \pink{x = -6} }}} [/tex]

Answer:

638.33

Step-by-step explanation:

[tex]450(1+.06)^6[/tex]

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Answer:

f(x) → f(x - b) means shift the function b units to right

Therefore x² → (x - 2)² means the function is moved 2 units to the right.

f(x) → a f(x) means a vertical stretch

Therefore (x - 2)² → 2(x - 2)² means the function stretched vertically by a scale factor of 2.

f(x) → f(x) + b means shift the function b units up

Therefore 2(x - 2)² + 1 means the function is moved 1 unit up.

Attached diagram:

f(x) is shown in black, g(x) is shown in red.

Points to help plot graph f(x):

(-3, 9)   (-2, 4)   (0, 0)   (2, 4)   (3, 9)

Points to help plot graph g(x):

(0, 9)  (2, 1)  (4, 9)

Answer: 1182

Step-by-step explanation:

Based on the First image, the correct option is the fourth image while based on the second image, the correct option is the fourth image also.

Given that the pre-image is rotated in the direction of the arrow as seen an the first image.

It is required to find the image formed also in that given direction.

Based on the fact that the arrow is rotating counter-clockwise, we get that, the shape of the pre-image will also rotate upwards towards the left hand side of the image shown.

So, based on the options (Taking the 1st image as pre-image), we have,

The fourth image where the shape is at the highest height will be the the fourth image after rotating the pre-image.

Learn more about image construction  from

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Answer:

A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller).

Step-by-step explanation:

Dilations can also reduce the size of shape. The picture below demonstrations a dilation of 12 Any time that the scale factor is a fraction, the image will get smaller.

It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2, 4) by a scale factor of 12.

Answer:

Equation is 4 p-3=11

Step-by-step explanation:

Barbara is buying 4 binders each cost same amount.

Let the cost of 1 binder is '$p'.

So, cost of 4 binders = $4 p.

Now, a coupon that gives her $3 off.

So, Barb needs to pay 4 p-3 dollars.

Barb pays a total of $11 when the value of the coupon is subtracted.

So, we can set up equation as

4 p-3=11

Answer:

5,200rs

Step-by-step explanation:

Answer:

0.37

Step-by-step explanation:

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Answer:

P=7

Step-by-step explanation:

7-3=4

4/2=2

therefore,

p=7

Answer:440

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) (-1,-6)

The easy way is just plug in the values to see if it's equal to 21

Answer:

for 15 the answer is 61 and

16 the answer is 82

Step-by-step explanation:

First you need to know that these are vertically opposite angles and that the vertical opposite angles are always the same.

therefore in qn 15.

- the 125 degrees angle is vertically opposite to the 64 + x angle therefore we make an equation

64 + x = 125 (then minus 64 on both sides)

(64 - 64)+ x = 125 - 64

x = 125 - 64

x = 61

the same goes for qn 16.

85 + x = 167 (then minus 85 in both sides)

85 - 85 + x = 167 - 85

x = 167 - 85

x = 82

The coordinates of the figure W'X'Y'Z' are W' (5, 4), X' (4, 1), Y' (1, 6) and Z' (3, 8).

The coordinates of the quadrilateral WXYZ is W(-4, 5), X(-1, 4), Y(-6, 1) and Z(-8, 3).

We need to find the coordinates of the figure W'X'Y'Z', in which figure WXYZ is rotated 90° clockwise.

To rotate the figure 90° clockwise about a point, every point (x,y) will rotate to (y, -x). Let's understand the rotation of 90° clockwise about a point visually. So, each point has to be rotated and new coordinates have to be found.

Now,

W (-4, 5)→W' (5, 4)

X (-1, 4)→X' (4, 1)

Y (-6, 1)→Y' (1, 6)

Z (-8, 3)→Z' (3, 8)

Therefore, the coordinates of the figure W'X'Y'Z' are W' (5, 4), X' (4, 1), Y' (1, 6) and Z' (3, 8).

To learn more about the rotation visit:

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Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;

1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;

[tex]6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i[/tex]

The coordinates of checkpoint C is therefore; (5, 0)

2. The easier way to get to checkpoint C from point B is to go south 5 units.

3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.

The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.

Learn more about vectors here:

https://brainly.com/question/24855749

Answer:

5, 0

5 units south

adding motions based on direction

Step-by-step explanation:

Answer:

B. 7(x − 5)(y + 2)

Explanation:

A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)

B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)

C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)

D.  7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)

2nd one

Let's verify

[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]

[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]

[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]

Verified

the right answer is c

Answer:  7

Step-by-step explanation:

To find the value of x, we can set the f(x) of each equation equal, so we get

3x - 4 = 17

    + 4    +4

     3x = 21

       x = 7 [Divide 3 by both sides]

Answer:B

Step-by-step explanation:Why because kinetik energy is moving and since its a curve line instead of straigh the speed will decrease

Sorry if I am wrong

Answer:

40

Step-by-step explanation:

The spinner gives you 5 choices.

The die gives you 8 choices

Answer: The total number of choices is 5* 8 = 40

it is saying that You spin a spinner with five equal spaces so, we have 5

roll an eight - sided die so, we have 8

then, it is saying that

How many possible outcomes are in the sample space

= 5 × 8

= 40

Answer:  [tex]x \le 9[/tex]

x is less than or equal to 9

on a keyboard you would write x <= 9

===========================================

Explanation:

We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.

We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.

So that's why the graph represents [tex]x \le 9[/tex]

----------------

Extra info:

If you want to write that in interval notation, then you would say [tex](-\infty, 9][/tex]

The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.

The square bracket says to include the endpoint.