John is twice as old as Mary. The sum of thelr ages is 21. How old Is Mary?

Answer:

Step-by-step explanation:

These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that

sin(4x + 10) = 45 and cos(6x) = 45

If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,

4x + 10 + 6x = 90 and

10x = 80 so

x = 8. Let's try it out:

sin(4(8) + 10) = sin(42) = .6691306064 and

cos(6(8)) = cos(48) = .6691306064

Yay!!!!!

Answer:

I think it is y=√x -5

Step-by-step explanation:

if clt 5wont go with √x

Answer:  Greater than sign

In other words, 11.01 > 11.001

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

Explanation:

For each given number, move the decimal point 3 spots to the right.

The value 11.01 becomes 11010

The value 11.001 becomes 11001

Since 11010 > 11001, this means 11.01 > 11.001

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

As an alternative method, you can subtract the values to see which is larger

The rule or idea is that

For example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.

In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001

Answer:

7/2

Step-by-step explanation:

Answer:

If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Step-by-step explanation:

Answer:

B 5/6 * -11/-7

Step-by-step explanation:

-5 / -7 = 5/7

-11/-6 = 11/6

Multiply

5/7 * 11/6

Rewriting

5/6 * 11/7

We can make  the 11 and the 7 negative (-11/ -7 = 11/7)

5/6 * -11/-7

Answer:

6 days

Step-by-step explanation:

Hi there!

Let d be equal to the number of days that pass.

1) Form expressions

We're told that our sister earns $30 a day, but needs to pay $60 at first:

[tex]30d-60[/tex]

We're also told that we earn $20 a day:

[tex]20d[/tex]

2) Form an equation

We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.

For our income and our sister's income to equal each other, the following must be true:

[tex]30d-60=20d[/tex]

Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.

3) Solve for d

[tex]30d-60=20d[/tex]

Subtract 30d from both sides to isolate d on one side

[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]

Divide both sides by -10 to isolate d

[tex]6=d[/tex]

Therefore, for both our income and our sister's income to become equal, 6 days would pass.

I hope this helps!

Answer:

49 inches

Step-by-step explanation:

since we are talking about squares, and each side in a square has the same length, and all 4 angles are 90 degrees, "similar" did not mean much. every square is similar to every other possible square.

they all are bigger and smaller copies of themselves.

but how much bigger ?

in our case here P is the smaller square and Q the bigger one.

x = side length of P = 3.5"

y = side length of Q

x/y = 2/7

3.5/y = 2/7

7×3.5 = 2y

y = 3.5×3.5 = 12.25"

the perimeter of Q is

4×y = 4×12.25 = 49"

Answer:

[tex]34^{\circ}[/tex]

Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]

What we're given:

The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]

Substituting given values:

[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]

Since [tex]\angle JKP=\angle LKP[/tex],

[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]

Answer:

12600 (ZAR)

Step-by-step explanation:

4.2*3000

Answer:

(A). F(x) = (x+1)^2

Step-by-step explanation:

If you replace x with the values of the axis, you get all the coordinates of the graph.

If this helps you, please give brainliest!

error = 62-60 = 2°

% = (2×100)/60 = 100/30 = 10/3 = 3.333%

Answer:

$45.07

Step-by-step explanation:

46.91-1.84= 45.07

Answer:

La primera es la respuesta la segunda parte es la

Step-by-step explanation:

La que te muestra como va el procedimiento

Answer:

-57x^2-10x+8

Step-by-step explanation:

i just did the test on edmentum

Answer:

X=-1

Step-by-step explanation:

X=-1 is just a vertical line since it only tells where the x point is.

Answer: Thats what the graph would look like hope this helps :)

Step-by-step explanation:

Answer:

see graph.

[tex]\leq[/tex] and [tex]\geq[/tex] are solid lines

< and > are dotted lines

graph inequalities same as regular equations

< shade below

> shade above

Answer:

31/20

Step-by-step explanation:

You need to plug in x as y-3.

so instead of 10x+10y=1 it is 10(y-3)+10y=1

Then just simplify the equation to find the value of y

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer: [tex](-10,-4)[/tex]

Step-by-step explanation:

Given

The points joining line segment are (-10,2) and (-10,-5)

Using section formula, a point joining segment  [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1  has coordinates

[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]

Ratio is 6:1

Coordinates are

[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]

[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]

Thus, the coordinates are [tex](-10,-4)[/tex]

Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

Given:

Growth rate = 30% decrease

To find:

The growth factor associated with the given growth rate.

Solution:

The general exponential function is:

[tex]y=a(1+r)^x[/tex]

[tex]y=a(b)^x[/tex]

Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.

It is given that the growth rate is 30% decrease. So,

[tex]r=-30\%[/tex]

[tex]r=-\dfrac{30}{100}[/tex]

[tex]r=-0.3[/tex]

Now,

[tex]b=1+r[/tex]

[tex]b=1+(-0.3)[/tex]

[tex]b=1-0.3[/tex]

[tex]b=0.7[/tex]

Therefore, the growth factor is 0.7.

Answer:

42.1

Step-by-step explanation:

15.2% = 0.152

277 * 0.152 = 42.104

42.1 megabytes have been downloaded.

Hope this is helpful.

Answer:

42.1

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Answer:

189 inches tall

Step-by-step explanation:

Answer:

Option B  

(B) 2880   Hope this helps <3

Step-by-step explanation: the total number of people affected by flu during  

the 2nd and 3rd week of January, 1200 + 1680  = 2880

Answer:

1,200

Step-by-step explanation:

40%=.4

(3,000)x(.4)=1,200

1,200 more people were more affected in the third week then the first week

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]

[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]