Four friends raised a total of $730 for a local charity. Each friend raised the same amount of money. Model the total amount that the friends raised using the least number of base-ten blocks possible.

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

[tex]\frac{sin55}{3.5} =\frac{sinx}{4}[/tex] and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

[tex]sinx=\frac{4sin55}{3.5}[/tex] so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

Answer:

It is 70

Step-by-step explanation:

Khan Academy

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

Answer:

4562.50 per month

Step-by-step explanation:

To find the monthly salary, divide by the number of months ( which is 12)

54750/12

4562.50 per month

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

Answer:

3.

Step-by-step explanation:

R = √[(2)^2 + (√5)^2]

= √(4 + 5)

= √9

= 3.

Answer:

3

Step-by-step explanation:

[tex]R =\sqrt{a^{2}+b^{2}}\\\\= \sqrt{2^{2}+(\sqrt{5})^{2}}\\\\= \sqrt{4+5}\\\\=\sqrt{9}\\\\= \sqrt{3*3}\\\\= 3[/tex]

Hint:  (√5)² = [tex]\sqrt{5}*\sqrt{5} = \sqrt{5*5}=5[/tex]

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

6t - 20 - 32u

t = 6

u = 1/4

Step 2: Evaluate

Answer:

8

Step-by-step explanation:

Given

6t - 20 - 32u ( substitute the given values into the expression )

= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )

= 36 - 20 - 8

= 16 - 8

= 8

Answer:

x = 4.5

Step-by-step explanation:

thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:

4/9 = 2/x

cross-multiply:

4x = 18

x = 4.5

Answer:

9x-7

Step-by-step explanation:

2(3x-5) = 6x - 10

3(x+3) = 3x + 3

= 9x-7

Answer:

Step-by-step explanation:

2*(3x-5)+3(x+3)=2*3x - 5*2 + x*3 + 3*3

                         = 6x - 10 + 3x + 9

                         = 6x + 3x - 10 + 9   {Combine like terms}

                         = 9x - 1

Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

Answer:

Option C is the correct one

Step-by-step explanation:

given equation of a line is y=-1/3x+1

comparing the given equation with y=mx+c

therefore,slope(m)=-1/3

then,

slope of line perpendicular to the line having slope -1/3 is (m2)=3

Equation of line having slope (m2)=3 and passing through point (2,7) is

y-y1=m2*(x-x1)

or,y-7=3(x-2)

or,y-7=3x-6

or,3x-y-6+7=0

or,3x-y+1=0

or,3x-y=-1 is the req.equation.

Answer:

-9≤y≤5

Step-by-step explanation:

The range is the values that the output can take

The smallest value that the output takes is -9 and the largest value is 5

-9≤y≤5

Answer:

I would roll with option B.

Step-by-step explanation:

If I understand it correctly, I would opt for option B here's why:

Suppose the pizza or pie is $20 each.

For option A,  If me and two of my friends order individually we would each only get 10% discount. So 10% of 20 is $2 so we would each pay $18 for each pizza ($54 in total for all of us).

For option B, if we order in same check that means we get 30% of our total order. Our total order is $60 (b/c each pizza is $20 so 20*3= 60). Taking 30% off of $60 is getting discount of $18 bucks which means we would pay $42 only.

Hence, comparing option A and option B, we can clearly see that opting for option B, will save 54-42 = $12.

Step-by-step explanation:

P O R N G I R L S O N L Y

xni-jwtm-twb

Answer:

32 is rational number.

Step-by-step explanation:

Because it can be expressed as the quotient of two integers : 32/1

85%

Hope this helps! :)

______________

Answer:

68/80×100%=85%

hope it helps!!!

Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

Answer:

raj

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Have a nice day

Answer:

[tex]y=\frac{15}{18} x+13[/tex]

Step-by-step explanation:

Use a graphing calculator,

hope it helps

Answer:

The intersection point is (2, 3)

Step-by-step explanation:

The given (linear) equations for the point of intersection is required are;

y = x + 1...(1)

3·y + 2·x = 13...(2)

To find the point of intersection without using graph, we note that the point of intersection is the point at which the values of both equations are equal

We find the values of 'x' and y-coordinates at the point of intersection as follows;

Making 'y' the subject of equation (2) gives;

y = (13 - 2·x)/3

When both lines intersect, the 'x' and y-values are the same;

y = x + 1 for the first line, and y = (13 - 2·x)/3 for the second line, therefore, at the intersection point, we have;

y = y

x + 1 = (13 - 2·x)/3

3·(x + 1) = 13 - 2·x

3·x + 3 = 13 - 2·x

3·x + 2·x = 13 - 3

3·x + 2·x = 5·x = 13 - 3 = 10

∴ 5·x = 10

Therefore, at the point of intersection, x = 10/5 = 2

x = 2

'y' is given in equation (1) by y = x + 1, therefore, at the point of intersection, 'x = 2', we get;

y = x + 1

∴ The value of 'y' at the point of intersection is y = 2 + 1 = 3

y = 3

Therefore, the (x, y) coordinate at the point of intersection is (2, 3) which can be written as follows;

The point of intersection = (2, 3).

Answer:

-3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:  6  23  17  30

the length CD is  the square root of the delta X value squared + the delta Y value squared

a² + b² = c²   is the common form for this problem use

ΔX² + ΔY² = CD²

ΔX = X2 - X1        ΔY = Y2 - Y1

ΔX = 2 - (-2)        ΔY = 5 - (-5)

ΔX = 4                ΔY = 10

4² + 10² = CD²

16 + 100 = CD²

116  = CD²

√116  =  √CD²  = CD

√(4 × 29)  = CD

2√29  = CD    the first option

Answer:

[tex]\frac{3y+2}{6y^2}\\[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{3y+2}{3y}/\frac{6y^2+4y}{3y+2} \\= \frac{3y+2}{3y} * \frac{3y+2}{6y^2+4y}\\= \frac{3y+2}{3y} * \frac{3y+2}{2y(3y+2)}\\= \frac{3y+2}{3y} * \frac{1}{2y}\\= \frac{3y+2}{6y^2}\\[/tex]

Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11

hope it helps you ♡

see the attachment for further information

Answer: The estimated product is 81

8.82 and 9.41 are both 9 rounded to the nearest whole number

Therefore, 9*9=81.

Step-by-step explanation:

the answer is in the above image

but I do not get the meaning of Dy