Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have

Answer:

Diagonals of a rhombus intersect at right angles

Therefore, [tex]\angle AOD=90[/tex]

[tex]Now,in\: \bigtriangleup AOD[/tex]

[tex]\angle OAD+\angle AOD+\angle ADO=180[/tex]

[tex]x+90+3x+12=180[/tex] [tex]\leftarrow [combing \: like\: terms][/tex]

[tex]4x+102=180\\-102 \: -102[/tex] [tex]\leftarrow [subtracting \:102 ][/tex]

[tex]\frac{4x}{4} =\frac{78}{4} \leftarrow [dividing \: by\: 4][/tex]

[tex]x=19.5[/tex] [tex]\Longleftarrow[/tex]

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Answer:

65

Step-by-step explanation:

Exterior angle = Sum of 2 interior angles

x + 31 = x + x - 34

x + 31 = 2x - 34

x - 2x = - 34 - 31

- x = - 65

x = 65

Step-by-step explanation:

A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.

[tex]x+x-34+180-x-31=180[/tex]

[tex]x=180-115[/tex]

[tex]x=65[/tex]

Answer:

30 green jolos

Step-by-step explanation:

in the problem itself it states this "Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jolos.".

There are green Jolos are there in Balan's colony are 30 green jolos.

We have given that,

A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed.

Balan, who lives on this planet, does a survey and finds that her colony of 140.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75 one-headed Jolos.One-headed Two-headed Total

            Green      Purple    

               30              45        

Total          75             140          

In the problem itself, states this Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jools.

Therefore there are green Jolos are there in Balan's colony are 30 green jolos.

To learn more about the probability visit:

https://brainly.com/question/25870256

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Answer:

what can i help u with

Step-by-step explanation:

I really can't help u with that sorry i am bad at math

Answer:

1320

Step-by-step explanation:

Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)

The terms increase by 6, so d is 6

a is the first term, -56

n is the terms you want to find, 33

Plug in the numbers, 33/2 (2(-56)+(32)6)

Simplify into 33(80)/2 and you get 1320

Answer:

60

Step-by-step explanation:

Q1 = 12

Q3 = 72

the interquartile range = Q3-Q1 = 72-12 =60

Answer:

sun is the answer to absolutely

Answer:

81

Step-by-step explanation:

The angles shown are formed on a straight line

Angles formed on a straight line add up to 180

So m + m + 18 = 180

We've just created an equation that we can use to solve for m

So we can now solve for m

m + m + 18 = 180

Combine like terms

2m + 18 = 180

Subtract 18 from both sides

2m + 18 - 18 = 180 - 18

2m = 162

Divide both sides by 2

2m/2 = 162/2

m = 81

Answer:

x = [tex]\frac{9+c}{k}[/tex]

Step-by-step explanation:

Given

kx - c = 9 ( add c to both sides )

kx = 9 + c ( isolate x by dividing both sides by k )

x = [tex]\frac{9+c}{k}[/tex]

Answer:

f(3) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 4

Step 2: Evaluate

Step-by-step explanation:

something is missing here.

it is not clear, what exactly is 27 km. only the side of the orange triangle ? or the whole distance to the 90 degree angle ?

but in both cases that is not enough. we need some information about the split ratio of the orange side and the white side. it some angles in the graphic.

otherwise I can simply keep the given sides with their lengths but freely move the line between the orange and white triangles. there are infinite many solutions.

is it meant to be an isoceles triangle (2 equal sides) ? it certainly does not look like it, but that would be the only case where the given information can lead to a solution.

under that assumption the baseline of the white triangle is also 27 km.

the first side is 9km.

the second side we get via Pythagoras :

27² = 9² + x²

729 = 81 + x²

648 = x²

x = 25.46 km

now, since this is a right-angled triangle we can (especially to calculate the area) also consider the two sides enclosing the 90 degree angle as baseline and height.

the area of a triangle is baseline×height/2

area = 9×25.46/2 = 114.55 km²

Answer: 44

Step-by-step explanation:

Sum of all angles is 180 so it is 103+33+x = 180.

so, it is 136+x = 180

x = 180-136 => 44

1. 2

2. The X axis

3. 1 up and 5 left (-5, 1)

Answer:

His average speed for the whole trip is 5km/hr

Step-by-step explanation:

Answer:

4.8 km/hr

Step-by-step explanation:

Assume that the distance is 24 km (evenly divisible by 4 & 6)

then the A-B time would be 24/4 or 6 hrs.

on the return the time would be 24/6  or 4 hrs.

total time 10 hrs total distance 48 km....

48/10 = 4.8 km/hr

Answer:

C. no real number solutions

Step-by-step explanation:

Subtract 10 from both sides.

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: B. no real number solutions

no real number solutions

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]

From the given function, we have;

When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;

[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

From the given function, we have;

When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes,  therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as x increases, the fraction  tends to 0, therefore as x increases, we have;

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Answer:

204

Step-by-step explanation:

600 * .12 = 72

600 * .22 = 132

72 + 132 = 204

Have a great day!

Answer:

let f(m) = u

multipling both sides by 2

We have 2f(m)=m

therefore m=2

Answer:

2×sqrt(34)

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

(10)^2 + (6)^2 = x^2

sqrt( 100 + 36 ) = x

x = 2×sqrt(34)

Answer:

12

Step-by-step explanation:

AC = BD (as the diagonal of the rectangle)

4x-60=30-x

4x+x = 30+60

5x = 90

x = 90/5

x = 18

=> BD = 30-18 = 12

Answer:

11/30

Step-by-step explanation:

Answer:

113.75$

Step-by-step explanation:

I. When a square yard = 9.10

   so 1 * 9.1 = 9.1

   if 12.5 square yard

   then 12.5 * 9.1 = 113.75$

Answer:

There are 72 fligs in 12 flugs

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

Step-by-step explanation:

find the square root

√324

=18

Answer:

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and the denominator by the same table.

a) 5/6

[tex]\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}[/tex]

b) 7/11

[tex]\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}[/tex]

c)9/7

[tex]\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}[/tex]