What is the equation of the line that passes through the point (−2,1) and has a slope of -5/2

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Answer:

one forty fifth times five equals one ninth

Step-by-step explanation:

In division, the number being divided is the dividend or numerator, the denominator is the number we use to do the division while the result is the quotient and there may be a reminder.

For example, if

a/b = c

then

a = b * c

hence

1/9  ÷ 5

= 1/9 * 1/5

= 1/45

This means that

1/45 * 5 = 1/9

Hence the related multiplication equation related to the division equation one ninth ÷ 5 is one forty fifth times five equals one ninth

Division expression are the expression in which one number is divided by other. Multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.

The given division equation is the fraction 1/9 divided by the number 5. That is,

[tex]\dfrac{\dfrac{1}{9} }{5} =\dfrac{1}{45} [/tex]

Division expression are the expression in which one number is divided by other

1) Five times one twenty fifth equals one ninth-This can be written as,

[tex]5\times \dfrac{1}{25} =\dfrac{5}{25} [/tex]

[tex]5\times \dfrac{1}{25} =\dfrac{1}{5} [/tex]

Which is not equal to the the given division expression.

2) One forty fifth times five equals one ninth-This can be written as,

[tex]\dfrac{1}{45}\times5 =\dfrac{1}{9} [/tex]

This is equal to the the given division expression.

3) One forty fifth times one fifth equals one ninth-This can be written as,

[tex] \dfrac{1}{45}\times\dfrac{1}{5} =\dfrac{1}{225} [/tex]

Which is not equal to the the given division expression.

4) Five times one fifteenth equals one ninth-This can be written as,

[tex]5\times \dfrac{1}{15} =\dfrac{1}{3} [/tex]

Which is not equal to the the given division expression.

Hence multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.

Learn more about the division expression here;

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Answer:

49

Step-by-step explanation:

For 10 flapjacks we need a total of 100g of ingredients

therefore, we need to get how many gram for 1 flapjacks

that is, for butter 20÷10=2

for sugar 30÷10=3

for rolled oats 50÷10=5

that's a total of 10.

this means it takes 10g of ingredients to make 1 flapjacks

then 140+150+200=490

490÷10=49

The final answer is 49 flapjacks can be made from the above ingredients

x=-1                                                                                                                                                                                  aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

Step-by-step explanation:

Area of circle=Pi times radius^2

Diameter is half of radius=8.4

Pi*8.4^2=221.670777637

Hope this helps!

Answer:

221.56 cm^2 or 70.56pi

Step-by-step explanation:

Area of a circle  = pi*radius^2

Radius = diameter/2, radius = 8.4

3.14(8.4)^2 = 221.56 cm squared, or 70.56pi

Answer:

A

2√2 * 7√18

=84

.................

Answer:

10% of 120 is 12

Step-by-step explanation:

your answer is 12

Answer:

12

Step-by-step explanation:

10% of 120 = 10% x 120

= 0.1 x 120

= 12

Please mark me Brainliestt :)

Answer:

11x+2

Step-by-step explanation:

Answer:

11x=+2

Step-by-step explanation:

5x+2(3x-4)+10

5x+(2*3x-2*4)+10

5x+(6x-8)+10

5x+6x-8+10

=11x=2

Hello!

[tex]\large\boxed{g(5) = 25}[/tex]

If g(x) = 4x + 5, find g(5) by substituting 5 for x:

g(5) = 4(5) + 5

Simplify:

g(5) = 20 + 5

g(5) = 25

Answer:

I am not quite sure but I say 2 quarts and 15 pints.

Answer:

[tex]112\:\mathrm{m}[/tex]

Step-by-step explanation:

If you were to draw a diagram, you could form two similar triangles using the pole and the building (unsolvable otherwise). Since these triangles are similar, we can write the following proportion:

[tex]\frac{3.3}{1.4}=\frac{h}{47.5}[/tex], where [tex]h[/tex] is the height of the building.

Solving, we get:

[tex]h=\frac{47.5\cdot 3.3}{1.4},\\h\approx \fbox{$112\:\mathrm{m}$}[/tex] (rounded to the nearest meter as requested in the problem).

I've drawn the figure below for reference:

Answer:

Yes, it is.

Step-by-step explanation:

Answer:

Yes sir

Step-by-step explanation:

Step-by-step explanation:

(a/b*b/c=1/2*3/4)(a/c=3/8)

Answer:

The slope of the line will change from negative to positive

Step-by-step explanation:

the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive

Answer:

76  14/20

(76  7/10) simplified

Step-by-step explanation:

First we make the denominator of the fraction equal

82  15/20

24  16/20

18   15/20

We then subtract

82 15/20 -  24 16/20

81  35/20 - 24 16/20 =

57  19/20

Then we add

57  19/20 + 18 15/20=

76  14/20

(76  7/10) simplified

Answer:

Help with PROBLEM 3 asap, pls n ty!! for full credit, need calculations, units, results and assumptions

Problem 2 Unsteady state conduction A carbon steel (10 %) panel of a firewall is 5-cm thick and is initially at 25 C. The ext

Answer:

2.9% = 0.029 in decimal form. Percent means 'per 100'. So, 2.9% means 2.9 per 100 or simply 2.9/100. If you divide 2.9 by 100, you'll get 0.029

Step-by-step explanation:

Answer:

0.222222 repeating in decimal

22.22%

Step-by-step explanation:

Answer:

B:25°

Step-by-step explanation:

Now [tex]\angle ABC[/tex] gets bisected by [tex]BD[/tex].

[tex]\angle ABD=25^{\circ}[/tex]

Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.

We know that one of the angles is [tex]25^{\circ}[/tex] so the other angle has to be [tex]25^{\circ}[/tex] also.

Hence, the [tex]m\angle DBC=25^{\circ}[/tex].

Answer:

The probability is ⁹/₆₄

Step-by-step explanation:

Given;

number of red marbles, R = 3

number of green marbles, G = 5

Total number of marbles, T = 8

The probability of choosing two red marbles in a row with replacement;

[tex]P(2 R) = P(R_1 \ n \ R_2)\\\\P(2 R) = \frac{3}{8} \ \times \ \frac{3}{8} \\\\P(2 R) = \frac{9}{64}[/tex]

Therefore, the probability of choosing two red marbles in a row with replacement is ⁹/₆₄

Answer:

12% alkaline

Step-by-step explanation:

The amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.

Given to us

A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution.

She wants to mix the two solutions to get 100 ml of a 4% acid solution.

Assumption

Let the amount of 1% acid solution be x ml, and the amount of 5% acid solution be y ml.

As the chemist wants to mix the two solutions to make 100 ml of solutions, therefore,

amount of 1% acid solution + amount of 5% acid solution = 100ml

x + y = 100.....equation 1

Solving for y,

y = 100 - x

We know that the mixture is having a 4% concentration and is 100 ml in volume.

[tex](1\%)x+(5\%)y = (4\%)100\\0.01x+0.05y=0.04\times 100\\[/tex]

Substitute the value of y,

[tex]0.01x+0.05(100-x)=0.04\times 100\\\\0.01x + (0.05\times 100)-(0.05\times x) = 4\\\\0.01x + 5 -0.05x =4\\\\0.01x-0.05x = 4-5\\\\0.04x = 1\\\\x=\dfrac{1}{0.04}\\\\x = 25\ ml[/tex]

Substitute the value of x in equation y,

[tex]x+y = 100\\25 +y =100\\y = 100-25\\y=75\ ml[/tex]

Hence, the amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.

Learn more about the System of equations:

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Answer:

g(x) = (x – 1)2 + 1

Step-by-step explanation:

Answer:

g(x) = (x – 1)2 + 1

Step-by-step explanation:

Answer:

I-

Step-by-step explanation:

Answer:

$5.95

Step-by-step explanation:

15% of 7 is 1.05, 7-1.05=5.95.

Answer:

$50

Step-by-step explanation:

40x1.25=50

price with discount X Discount price to undo it= Original price

23d = 109

d = 109 ÷ 23

d = 109/23