triangle ABC is similar to triangle JKL match each part of ABC with the corresponding part of JKL

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

subtract 2x from both side

change the sign of both side of equation

rewrite

Solve for x

substitute the value of y in the equation

distribute 3

combine like terms

Add 33 on both side

divide both side by 7

Answer:

The point can either lie on the second quadrant or the third quadrant

Step-by-step explanation:

Mathematically, we have the ordinate and the abscissa

The ordinate represents the y axis while the abscissa represents the x axis value

For the abscissa to be negative, it means we are talking about the negative x axis

Now, the y axis can either be positive or negative too

When it is positive , we are referring to the point lying on the second quadrant

when it is negative, we are referring to the point lying on the third quadrant

Answer:

No Solution

Step-by-step explanation:

because both of them have same gradient or slope.

we can say that those linear equations are parallel

Answer:

21

Step-by-step explanation:

goes up by 7

Answer:

x > 12

Step-by-step explanation:

[tex]x+6->18-6\\=>x>12[/tex]

That's it for the workout. Hope it helps.

Answer:

.25

Step-by-step explanation:

there are 13 clubs

13/52= 1/4

Answer:

Step-by-step explanation:

mean = sum of data / no of data

20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10

760 / 10

76

to find median u should arrange the data from ascending to descending order.

since the given data is already arranged u dont need to change.

median = (N + 1)/2     (N means no of data)

=10 + 1 / 2

=11 / 2

=5.5

= 5 th term + 6 th term /2

=77 + 85 /2

=162 / 2

=81

mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.

Mode = 77

Answer:

B.

Step-by-step explanation:

Answer:

D, 143.

Step by step explanation:

Answer:

a=[tex]\frac{c-by}{x}[/tex]

Step-by-step explanation:

To find a, we need to change the equation so a is the variable that is left by itself. So...

ax+by=c   Get rid of anything else besides the x and its coefficient.

   -by -by

ax=c-by    Because a has to be completely isolated, get rid of its coefficient.

/x   /x

a=[tex]\frac{c-by}{x}[/tex]

Hope this helps and have a great day :D

Answer:

[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]

Answer:

[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]

Step-by-step explanation:

[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]

[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]

Answer:  $8.97

Step-by-step explanation:

he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three

$0.75 * 3 = $2.25

so henri saved $2.25 in total

we can add that to what he paid to find the original cost

$6.72 + $2.25 = $8.97

so the original price was $8.97 :)

Answer:

wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to

Answer:

part 2 of 3 means is it ans

Step-by-step explanation:

I don't understand ur question can u explain me then I I will ans

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

Which graph?

___________

Answer:

7/12

Step-by-step explanation:

fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans

sum of fraction of farm planted with maize and beans  =

[tex]\frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2 + 3}{12} = 5/12[/tex]

1 - 5/12 = 7/12

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

1 cubic metre requires 106 x 20 kg bags.

106 * 2.8275 = 299.715 ≈ 300bags

Answer:

Rs 6800

Step-by-step explanation:

Hope this helps

Answer:

f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2

Step-by-step explanation:

Answer:

382=380

Step-by-step explanation:

l don't know the answer but just trying

Rounding to one significant figure is to round the given number into a number where the first digit is a number and the remaining digits are all zeroes.

The number after rounding 382 to 1 significant figure is 400.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

382

We will round to 1 significant figure.

This means the hundred place value must be the only number remaining while keeping all the place values as zero.

Since the tens place value is more than 4.

We can round the hundred place value 3 into 4.

Now,

382 will be 400 when rounded to 1 significant figure.

Thus,

The number after rounding 382 to 1 significant figure is 400.

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

Step-by-step explanation:

perimeter = 2(lenth + base)

perimeter-2b = 2(length)

Area=length×breadth

Answer:

bouton

Step-by-step explanation:

Answer:

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

The ratios of corresponding sides:

On the other hand:

Answer:

4628

I hope it will help you all

Step-by-step explanation:

The given equations are :

-x+6y = 16 ...(1)

8x-6y = -2 ...(2)

The y-variable will be eliminated when adding the system of  equations.

Adding equations (1) and (2).

-x+6y+8x-6y = 16+(-2)

7x = 14

x = 2

Put the value of x in equation (1).

-2+6y = 16

6y = 16+2

y = 3

There is only one solution to the system of equations i.e. (2,3).

Answer:

N=15

Step-by-step explanation:

N=numerator

D=denominator

(1+N)/(1+D)=4

(N-1)/(D-1)=7

(1+N)=4(1+D)

N=4D+3

(4D+3-1)/(D-1)=7

4D+2=7(D-1)

4D-7D=-2-7

D=-9/-3=3

N=4D+3=15