The sale price of a wedding cake after being discounted 20% is $315.60. Write an equation you can use to find the original cost of the wedding cake c?

Answer:

Yes, they are congruent.

Step-by-step explanation:

Reflected triangles can be congruent

To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other.

Answer:

Step-by-step explanation:

Two sides and the included angle are congruent:

Postulate: SAS

Congruence Statement: ΔRED ≅ ΔSOX

9514 1404 393

Answer:

  P(Red) = 0.44

Step-by-step explanation:

There are 3 (mutually exclusive) ways to get red. The probability of red is the sum of the probabilities of the different ways to get there:

  P(red) = (0.35)(0.6) + (0.45)(0.2) + (0.20)(0.7) = 0.21 + 0.09 + 0.14 = 0.44

The probability a player will select a red ball is 0.44.

Answer:

96

Step-by-step explanation:

40=4x+8

32=4x

x=8

other side x+4 is 12

area is 12×8

96

Answer:

Step-by-step explanation:

hope it helps:)

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

644

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: you get 72 from multiplying the width plus length so there is your real answer

Answer:

c=50

Step-by-step explanation:

Answer:

c = 50

Step-by-step explanation:

-0.2 multiplied by 50 would give you -10.

Kelvin's new account balance is, $402.25

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Kevin has a checking account. This month he deposits three paychecks.

Here, Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125.

Hence, Kevin's new account balance is,

⇒ 3 × $225.75 - 2 × $75 - $125

⇒ $677.25 - $150 - $125

⇒ $402.25

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

B

Step-by-step explanation:

:)

Answer:

y=x+1

Step-by-step explanation:

4x-4y= -4

-4x         -4x

-4y = -4x-4

divide all by -4

y= x+1

Answer:

[tex]y=(-4/3)x+5[/tex]

Step-by-step explanation:

so you want to start by using y=mx+b

step one: find the slope (remember m is the slope in this)

m= [tex]\frac{y2-y1}{x2-x1}[/tex]

m= [tex]\frac{5+3}{0-6}[/tex]

m= [tex]\frac{8}{-6}[/tex]

m= - [tex]\frac{4}{3\\}[/tex]

step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.

y=mx+b

5= -4/3(0)+b

5=b

step three: rewrite y=mx+b with the values we found for m and for b

[tex]y=(-4/3)x+5[/tex]

Answer:

1.22 dollars after sales tax

Answer:

4

Step-by-step explanation:

that is the answer

x( -2 + 3x^4) -4 =0

x1 = 0

x2 =

-2 + 3x^4 = 0

3x^4 = 2

x^4 = 2/3

x2 =

[tex] \sqrt[4]{ \frac{2}{3} } [/tex]

Answer:

x= 6.25

Step-by-step explanation:

The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.

[tex]a^{2} = b^{2} + c^{2}[/tex]

In this shape the formula will be:

[tex]TU^{2} = JT^{2} + JU^{2}[/tex]

Substitute the given values in the shape into the formula.

TU = 34

JT = 27

TU = Lets take 'y'

[tex]34^{2} = 27^{2} + y^{2}[/tex]

1156 = 729 + [tex]y^{2}[/tex]

[tex]y^{2}[/tex] = 1156 - 729

[tex]y^{2}[/tex] = 427

y = [tex]\sqrt{427}[/tex] = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).

So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:

-4 + 4x = 21

4x = 21 + 4

4x = 25

∴ x = [tex]\frac{25}{4}[/tex] = 6.25

x= 6.25

Answer:

Step-by-step explanation:

Add 196 to both sides, then take the square root

[tex]k^2=196\\[/tex]

k = ±14

Answer:

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x       -5x

4y=-5x+16

÷4   ÷4  ÷4

y=[tex]\frac{-5}{4}[/tex]+4

or

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

or

y= 5[tex]\frac{1}{4}[/tex]

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4([tex]\frac{-5}{4}[/tex]+4)=16

5x-5+16=16

5x+11=16

    -11 -11

5x=5

÷5 ÷5

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Answer:

52.91 pounds

Step-by-step explanation:

Answer:

35% of 80 is 28

Step-by-step explanation:

Answer:

99inches

Step-by-step explanation:

The ratio of the sides of a triangle =2:4:9.

perimeter = 165 inches,

Total ratio= 2+4+9=15

perimeter = 165

Divide the perimeter by total ratio

165/15=11

Each of the sides

= (2×11) =22

(4×11) =44

(9×11)=99

the length of the longest side= 99inches

Step-by-step explanation:

1A (3,-2)

1B

By substitution

[tex]4x - 3y = 18 \\ 2x + y = 4 \\ y = 4 - 2x \\ 4x - 3(4 - 2x) = 18 \\ 4x - 12 + 6x = 18 \\ 10x = 30 \\ x = 3 \\ y = 4 - 2(3) \\ y = 4 - 6 = - 2[/tex]

1C

By elimination

[tex](4x - 3y = 18) -2 \times (2x + y = 4) \\( 4x - 3y = 18) - (4x + 2y = 8) \\ - 5y = 10 \\ y = - 2 \\ 4x - 3 \times ( - 2) = 18 \\ 4x + 6 = 18 \\ 4x = 12 \\ x = 3[/tex]

Answer:

1/6

Step-by-step explanation:

hope this helps :)

1/6

divide both by 2 and you get 1/6

Answer: D: x ∈ [0, 4)

Step-by-step explanation:

For a function:

y = f(x)

The range is the set of the outputs, the possible "y" values

The domain is the set of the inputs, the possible "x" values.

Now, we want to see the domain in which the function increases.

First, we can see that the whole domain of the graph is the interval:

[0, 9]

And a function is increasing if, reading from left to righ, the graph goes upwards.

In the image, we can see that the graph increases in the segment:

[0, 4)

Where we have an open segment because in the point x = 4 the graph stops increasing.

Then the domain where the function increases is:

D: x ∈ [0, 4)

Answer:

for f(3)=2 is y=(2/3)x

Step-by-step explanation:

y=ax

and plug x and y into the parent function.

Answer:

Step-by-step explanation:

f(0) = 6 means y-intercept b = 6

So we have:

                  f(x) = mx + 6     and   f(3) = 2

        So:

                2 = m×3 + 6

                  3m + 6 = 2

                   3m = 2 - 6

                   3m = -4

                    m = -⁴/₃

Therefore the function:

Answer:

1) 2

2) [tex]\frac{3}{2}[/tex] or [tex]1\frac{1}{2}[/tex]

3) 5

4) 3

5) [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex]

6) [tex]\frac{4}{5}[/tex]

7) [tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex]

8) [tex]\frac{7}{3}[/tex] or [tex]2\frac{1}{3}[/tex]

9) [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The reciprocal is the fraction flipped. To make sure it is a reciprocal though, multiply the original and the reciprocal. If it is the correct reciprocal, you will get 1 as your answer.

Hope it helps!

Answer: 12.70 cm

Step-by-step explanation:

12.70 is the correct answer

Answer:

56

Step-by-step explanation:

corresponding angle to 56 is also opposite to x which means it is also 56

Angle opposite to 56 be a

So

a and x are corresponding angles

so

Answer:

a=4  b = -16  c=9

Step-by-step explanation:

4(x-2)^2 -7

We need to FOIL out the (x-2) ^2

( x-2)^2 = (x-2) (x-2) = x^2 -2x -2x+4 = x^2 -4x+4

Replace this in the equation

4( x^2 -4x+4) -7

Distribute

4x^2 -16x +16 -7

Combine like terms

4x^2 -16x +9

a=4  b = -16  c=9

Answer: a= 4 b=-16 c=9

Step-by-step explanation:

My teacher told me the answer