For his birthday, Torin got $25 more from his grandmother than from his cousin. His uncle
gave him $10 less than his cousin. Torin received $291 total. How much did he receive
from his cousin?

Answer:

[tex]y=-\frac{5}{2}x-24[/tex]

Step-by-step explanation:

[tex]2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\[/tex]

if two lines perpendicular,

[tex]m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}[/tex]

the line perpendicular to this line is

[tex]y=-\frac{5}{2}x+k[/tex] ; k ∈ R

the line passes through the point (10,-1)

so,

[tex]-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24[/tex]

∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is

[tex]y=-\frac{5}{2}x-24[/tex]

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer:

17

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]8^{2}[/tex] +[tex]15^{2}[/tex] =[tex]c^{2}[/tex]

64  + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

17 = c

Answer:

c) 2/15

Step-by-step explanation:

LA= 2/3 = 10/15

S=1/5 = 3/15

15/15 - 13/15 = 2/15

Math books= 2/15

   If the points P, Q, V and K are collinear, they will follow the segment addition postulate.

Measure of segment VP will be 214 units.

   It's given in the question,

By segment addition postulate,

            KQ + VQ + VP = KP

Substitute the values in the expression,

(11x + 5) + (17x + 6) + (14x + 4) = x + 630

(11x + 17x + 14x) + (5 + 6 + 4) = x + 630

42x + 15 = x + 630

42x - x = 630 - 15

41x = 615

x = [tex]\frac{615}{41}[/tex]

x = 15

Therefore, measure of VP = (14x + 4)

                                           = 14(15) + 4

                                          = 214 units

Measure of segment VP will be 214 units.

Learn more,

https://brainly.com/question/628239

First, let's write down what we know.

AB = 3x

AC = 5x+21

Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.

AB + AB = AC

Let's plug in our values.

3x + 3x = 5x + 21

Simplify the left side.

6x = 5x + 21

Subtract 5x from both sides.

x = 21

Now, let's plug in 21 for x in AB

AB = 3x = 3(21) = 63

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

Step-by-step explanation:

a×10⁰×a

Since, m⁰=1 therefore

a×1×a

a²

a × 10⁰ × a = a × 1 × a = a × a = a²

Answer:

3a^2+8/6a^2

Step-by-step explanation:

there ya go hope this helps

Answer:

m is the slope and b is the y intercept

Step-by-step explanation:

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Answer:

12,880

Step-by-step explanation:

You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.

Answer:

1.6667

Step-by-step explanation:

It took awhile to get this

Answer:

95+d

Step-by-step explanation:

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

Answer:

X=-5/3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Step-by-step explanation:

Qualitative data are discrete, for instance, "Yes/No" type questions. They are usually presented in bar charts or pie charts to show the portion of different populations with certain characteristics in a single experiement (e.g. Not allergic to ginger VS allergic to ginger).

Qualitative data are usually continuous, and can show a trend or distribution numerically. They are usually presented by, for instance, line charts (e.g. Distribution of resident age in block E)

Answer:

According to my equation it's 20°

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:

I hope it helps you

An compound inequality that describes the acceptable weights for a 20 oz box is 19.25 ≤ x ≤ 20.75.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To determine the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

We are Given that, cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz.

Let the weight of cereal box be; w

Now, the inequality is

20-0.75 ≤ x ≤ 20+0.75

Add 20 on both sides of an inequality, we get

19.25 ≤ x ≤ 20.75

Here, 19.25 ≤ x ≤ 20.75

Therefore, an absolute value inequality to find the range of acceptable weights is 19.25 ≤ x ≤ 20.75.

To learn more about an absolute value visit:

brainly.com/question/1301718.

#SPJ2

Answer:

a=28, b=-15

Step-by-step explanation:

[tex]Method\ by\ linear\ combinaisons\\\left\{\begin{array}{ccc|c|c|}2a+5b&=&-19&-1&3\\3a+5b&=&9&1&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\5b&=&-75\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\b&=&-15\\\end{array}\right.\\[/tex]

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °