you have 22 quarters and dimes. They total value is $4.90. How many dimes do you have?

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    [tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]

The determinant

[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]

By using Cramer's Rule

Δ₁ =      [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

y = Δ₂/Δ =  30

 x - 2y = -7

5x - 9y = -5​

[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]

Answer:   x

=

19

1

3

Step-by-step explanation:

6

14

=

7

x

−

3

Rewrite the equation as

7

x

−

3

=

6

14

.

7

x

−

3

=

6

14

Cancel the common factor of

6

and

14

.

Tap for more steps...

7

x

−

3

=

3

7

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

7

⋅

7

=

(

x

−

3

)

⋅

3

Solve the equation for

x

.

Tap for more steps...

x

=

58

3

The result can be shown in multiple forms.

Exact Form:

x

=

58

3

Decimal Form:

x

=

19.

¯

3

Mixed Number Form:

x

=

19

1

3

Answer:

2,-1,-2,-1

Step-by-step explanation:

You just replace x with the given numbers

[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(25) = \frac{35}{b} [/tex]

[tex](b) \sin(25) = \frac{35}{b}(b)[/tex]

[tex](b) \sin(25) = 35[/tex]

[tex] \frac{(b) \sin(25) }{ \sin(25) } = \frac{35}{ \sin(25) } [/tex]

[tex]b = \frac{35}{ \sin(25) } [/tex]

[tex]b = 82.8[/tex]

the length of the rope needs to be around 82.8

Answer:

Step-by-step explanation:

150-20/2

Answer:

0.29

Step-by-step explanation:

12 divide by $3.48 is 0.29

Answer:

C.

Step-by-step explanation:

A negative number divided by a negative number is a positve number.

Answer:

c and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). By applying tangent rule in the triangle,

   tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}[/tex]

   θ = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   θ = 36.87°

   Therefore, θ < 45°

b). By using cosine rule in this triangle,

   cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}[/tex]

   cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]

    θ = 45°

c). By using tangent rule,

  tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}[/tex]

  θ = [tex]\text{tan}^{-1}(4)[/tex]

  θ = 75.96°

  θ > 45°

Answer:

-6

Step-by-step explanation:

4−(3+2)2

Add 3 and 2 to get 5.

4−5×2

Multiply 5 and 2 to get 10.

4−10

Subtract 10 from 4 to get −6.

−6

Answer:

48

Step-by-step explanation:

If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.

Answer: 2x+12y<3000

Step-by-step explanation:

x intercept: (1,500,0)

y intercept: (0,250)

The linear equation that represents the total cost will be 2x + 12y = 3000.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

A mortgage holder is making arrangements to scene her yard. She intends to recruit experts to introduce grass turf in certain pieces of the yard and blossom beds in different parts. Grass turf establishment costs $2 per square foot and blossom bed establishment costs $12 per square foot. Her spending plan for the venture is $3,000.

Let 'x' be the square feet of grass sod and 'y' be the square feet of flower beds. Then the total cost is given as,

2x + 12y = 3000

The linear equation that represents the total cost will be 2x + 12y = 3000.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer: $38.50

Step-by-step explanation: Find 70% of $55.

Answer:

38.5

Step-by-step explanation:

SO U FIND 10% WHICH IS =5.5

THEN U TIMES IS BY 3 AND ITS =16.5

THEN YOU MINUS 55 BY 16.5

AND THAT IS =38.5

Answer:

10=n/5+6

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

                                           6)

Given the line

[tex]y=-\frac{1}{3}x+3[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the line and b is the y-intercept

Thus, the slope of line = -1/3

We know that parallel lines have the same slope.

Hence, the slope of the parallel line is also m=-1/3

So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept

[tex]y=mx+b[/tex]

[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]

Switch sides

[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]

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

[tex]b=2[/tex]

Thus, the equation line in slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=-\frac{1}{3}x+2[/tex]

                                             8)

Given the line

[tex]y=\frac{1}{4}x+1[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the line and b is the y-intercept

so the slope of line = 1/4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -4

Thus, subtituting m = -4 and (-1, 4) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]

writing the point-slope form in the slope-intercept form

[tex]y-4=-4\left(x+1\right)[/tex]

add 4 to both sides

[tex]y-4+4=-4\left(x+1\right)+4[/tex]

[tex]y=-4x[/tex]                                

Answer:

x=1

Step-by-step explanation:

_3× +1=2(4×_5)

_3×+1=8×_10

-3×_8×=_10-1

11×=_11

=1

Answer: 48 feet

In order to get the answer you have to plug 12 into the equation you made in part a.

Firstly, let's check your answer to part A.

We know that there is no y-intercept because the line crosses the origin (0,0).

Let's use the slope formula to find the slope:

[tex]\frac{y2 - y1}{x2 - x1} = \frac{20 - 0}{5-0} = \frac{20}{5} = 4[/tex]

So, the slope is actually 4x.

Now, we go on to answer part b.

y = 4x

Plug in the 12

y = 4(12)

y = 48

Therefore Kelvin will have walked 48 feet after 12 seconds.

I hope this helps!!

- Kay :)

Answer:

The answer is below

Step-by-step explanation:

Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:

money spent by Jake = 7.65 + 5p

The money spent by Tina who bought 4 pounds of Turkish delight is:

Money spent by Tina = 2.45 + 4p

The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p

Answer:

2.13% (rounded to nearest thousandth)

Step-by-step explanation:

You subtract 24 from 23.5 to get 0.5

Then you divide 0.5 by 23.5 to get 0.02127

Then you multiply that by 100 to get your percent error

Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off

Answer:

(See the attachment)

Step-by-step explanation:

None

Solution,

y = -x-4......(i)

3x + y =- 16.......(ii)

Now,

Substituting the value of y in equation (ii)

or, 3x + (-x-4)= -16

or,3x - x - 4 = -16

or, 2x= -16 +4

or, x = -12/2

: x = -6

Then,

Substituting the value of x in (i) equation;

or,y= -(-6) - 4

or,y= 6 - 4

: y =2

Answer:

[tex](\frac{-1}{2},-1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-6, 5)

Point (5,  -7)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

Please show the graph, and i will be able to answer it for you.

Step-by-step explanation:

Answer:

nothing

Step-by-step explanation:

there was no mistake at all he did it all correct he subtract 11 from both sides the divided by 2 correctly.