x-2y=-4
3x+y=9

solve the simultaneous equation (find x & y)

Answer:

1 student

Step-by-step explanation:

From the Vann diagram attached below,

Let x represent the number of students who took 3 subjects.

Therefore,

100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20

100 = 22-x+11+x+9+10+14-x+11-x+20

100 = 97-2x

2x = 100-97

2x = 3

x = 3/2.

x = 1.5

x = 1 student

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

Hope this helps!! :)

Please let me know if you have any questions

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

Answer:

Step-by-step explanation:

I don't see Wen's work, but I'll show you mine!

We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.

At time 0, the temp is 0: (0, 0)

5.75 hours late, the temp is -15.5: (5.75, -15.5)

We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.

[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.

Answer:

- 2 16/23 degrees / hr

Step-by-step explanation:

15 1/2 = 31/2

5 3/4 = 23/4

31/2 ÷ 23/4 =

31/2 ×  4/23 =  124/46 = 62/23 = 2 16/23

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sample space is the set that contain all possible outcomes

B-blue, R-red, G-green

sample space is {B,B,B,R,R,G,G,G,G}

so there are 9 possible outcomes

Answer:

x is ten

Step-by-step explanation:

9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50

The volume of square based pyramid is 4cm³.

A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.

To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.

V=1/ 3×B²×h

where B is the area of the base of the pyramid, and h is its height.

Now in the question,

b = 2cm; h = 3cm

Volume = (1/3 x 2x2x3)cm³

= (1x2x2)cm³

= 4cm³

Therefore, the volume of square based pyramid is 4cm³

To learn more about volumes, visit :-

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Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

Answer:

angles 3&7

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8

Answer:

58.83

Step-by-step explanation:

176.50  ÷ 3 = 58.83333

round down

Answer:

In explanation.

Step-by-step explanation:

If we know that Mrs.Fox makes a consitant rate .

meaning if you divide 176.50 by 3

you get 58.833333 but since money can only go up to two decimal places,

we round and get 58.83 dollars per hour.

Answer:

I believe it is (-8,-9)

Step-by-step explanation:

I plugged the line into desmos then did the rotation

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

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Answer:

5 hours

Step-by-step explanation:

The charge will be the same when what they pay is equal

100 + 25*number of hours = 50 +35 * number of hours

let number of hours =h

100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides

100-50 = 35h -25h, combine like terms

50 = 10h , divide by 10 both sides

5 = h , in 5 hours the companies will charge the same amount

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

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}[/tex]  .

Use distributive property.

[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]

                                         [tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles

If they create 90 degree angles then 7x + 13 = 90

( Note that we've just created an equation that we can use to solve for x )

We now solve for x algebraically using the equation we created

7x + 13 = 90

Step 1 Subtract 13 from both sides

7x = 77

Divide both sides by 7

x = 11