Peter has $12 in nickels and quarters. Altogether, he has 72 coins. Use the variables n and q to write and solve a system of equations to determine how many of each coin she has.

Answer:

1.45

2. 135

Explanation:

1.  With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.

2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

Let, the length of the other diagonal be X

According to the Question:

We know that:

▶ Area of rhombus = ½ × d1 × d2

⇒ 16 = ½ × 4 × d2

⇒ d2 = 32/4

⇒ 8 cm

Hope it helps u!! ✿

Answer:

Step-by-step explanation:

6g - 11=(6 x -5) - 11

=-30 - 11

=-41

Answer:

False

Step-by-step explanation:

It is not because a linear function make a straight line, since it contains [tex]x^{2}[/tex] is is not linear. It creates a parabola.

Answer:

4.5

Step-by-step explanation:

Answer:

329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353

so take that and mutiply it by 17 then you will get 329

Step-by-step explanation:

Answer:

[tex]16^{2} (272)[/tex] is divisible by 17

Proof:

In order to solve this question we will have to factor  [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.

[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]

From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.

Answer:

The solution of [tex]\frac{1}{4}x \leq 2[/tex] is [tex]\mathbf{x\leq 8}[/tex]

Graph of the solution is attached in the figure below.

Step-by-step explanation:

We need to the graph the solution of [tex]\frac{1}{4}x \leq 2[/tex]

First we will solve to find value of x

[tex]\frac{1}{4}x \leq 2[/tex]

Multiply both sides by 4

[tex]\frac{1}{4}x\times 4 \leq 2\times 4 \\x\leq 8[/tex]

So, the solution of [tex]\frac{1}{4}x \leq 2[/tex] is [tex]\mathbf{x\leq 8}[/tex]

Graph of the solution is attached in the figure below.

The graph contains both number line and on graph paper also.

Answer:

y = (1/12)x^2

Step-by-step explanation:

The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).

The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus.  Here that distance is p = 3.

Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.

Have  a good day!

-Millie

Answer:

5x3

Step-by-step explanation:

Answer:

c=59f-1888

f=[tex]\frac{c}{59}+32[/tex]

Step-by-step explanation:

Hope this helps!

Answer:

-1/3

Explanation:

Answer:

Ionk dis buhh i guess it's -1 sum damm i forgot

Step-by-step explanation:

Hope dis helps ighh

Step-by-step explanation:

Every term that has another term preceding it is 4 more than the previous term.

The recursive formula is a(n) = a(n - 1) + 4.

Answer:

A. (1,4)

Step-by-step explanation:

Answer:

(2, 6)

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~~

(12, 4)

(- 8, 8)

( [tex]\frac{-8+12}{2}[/tex] , [tex]\frac{8+4}{2}[/tex] ) = (2, 6)

Answer:

40

Step-by-step explanation:

32/80 = 0.4

0.4 x 100 = 40

Answer:

40

Step-by-step explanation:

it just is

Answer:

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

Answer:

m = 2/3

Step-by-step explanation:

slope is equal to rise/run

rise = y2 - y1 = 7 - 1 = 6

run = x2 - x1 = 3 - (-6) = 9

simplify 6/9 = 2/3

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts?  Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

Answer:  11/18

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

Explanation:

We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18

18 is the LCM of the denominators 6 and 9

The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3

The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2

Therefore,

(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18

So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.

Answer:

Attached is the graph. The x-intercept is -6, and the y-intercept is -6.

Answer:

x = 16

Step-by-step explanation:

71 - 15 = 56

56 ÷ 14 = 4

[tex]\sqrt{16}[/tex] = 4

Check work:

[tex]\sqrt{16}[/tex] = 4

14 x 4 = 56

56 + 15 = 71

Answer: [tex]\sqrt{\frac{A}{\pi } }[/tex] = r

Step-by-step explanation:

The goal in this problem is to isolate the single variable, r. The original equation is A = pir^2. The first step to attempt to get r on its own is to divide each side of the equation by pi.

A = pir^2

A/pi = pir^2/pi

A/pi = r^2

Next, find the square root of each side to get r on its own:

A/pi = r^2

sqrt(A/pi) = sqrt (r^2)

[tex]\sqrt{\frac{A}{\pi } }[/tex]  = r

Answer:

Easy its 64

Step-by-step explanation:

Next time put the eqation in a calculator it will give you the answer trust me

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Given:

Smaller rectangle

length = 5 cm

width = 2 cm

perimeter of smaller rectangle = 2(length + width)

= 2(5 + 2)

= 2(7)

= 14

Larger rectangle

length = 14 cm

width = 7 cm

perimeter of larger rectangle = 2(length + width)

= 2(14 + 7)

= 2(21)

= 42 cm

perimeter of new shape = perimeter of larger rectangle + 2 × 2

= 42 + 4

= 46 cm

Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Learn more about perimeter of a rectangle:

https://brainly.com/question/17297081

Answer:

2.5

Step-by-step explanation:

The slope of the line is; [tex]\frac{rise}{run}[/tex] and can be found using the formula;

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Given the points;

( 6, 3 ) and ( 4, -2)

Substitute the points in and solve;

[tex]\frac{(-2) - (3)}{(4) - (6)}[/tex]

[tex]\frac{-5}{-2}\\\\\frac{5}{2}\\\\= 2.5[/tex]

answer:

step by step explanation:

make all numbers the same decimal,fraction or percentage and then compare

3/8=37.5%

-2.8=20.8%

0.053=5.3%

-2.8%

ascending means from smallest to biggest so the answer would be 0.053

Answer:

(3). h = 4√6 units ; (5). x = 3√21 units

Step-by-step explanation:

(3). "h" is geometric mean

h² = 6 × 16 = 96

h = 4√6 units

(5). h = √(7 × 20) = √140 = 2√35

x² = 7² + 140 = 189

x = 3√21 units