Martha ordered 3 cheesecakes. She will cut each cake into fourths. How many pieces of cake will she have?

Answer:

b. (4,2)

Step-by-step explanation:

step one: isolate x in the first equation

substitute x=6-y: [tex]\begin{bmatrix}2\left(6-y\right)-2y=4\end{bmatrix}[/tex]

[tex]\begin{bmatrix}12-4y=4\end{bmatrix}[/tex]

[tex]-4y=-8[/tex]

[tex]y=2[/tex]

step two: isolate y in the second equation, substitute y=2

[tex]x=6-y[/tex]

[tex]x=6-2[/tex]

[tex]x=4[/tex]

Answer:

b

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (2)

2x - 2y = 4 → (2)

Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term

6x + 6y = 36 → (3)

6x - 6y = 12 → (4)

Add (3) and (4) term by term to eliminate y

12x + 0 = 48

12x = 48 ( divide both sides by 12 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

3(4) + 3y = 18

12 + 3y = 18 ( subtract 12 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (4, 2 ) → b

Answer:

Step-by-step explanation:

C

Answer:

plz send full question

Step-by-step explanation:

according to your book

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

We need to determine how many centimeters represents 600 km. We will use the following formula:

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

Answer:

5 meters

Step-by-step explanation:

40/8=5

Answer:

area of rectangle =length ×width

40m² = 8m × width

40m²/8m = width

5m = width.

Answer:

b

Step-by-step explanation:

The closed circle indicates that the -6 is included

and the arrow is going to the bigger numbers

Answer:

The probability is 4/16 = 1/4

Step-by-step explanation:

To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped

Answer:

1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.

Step-by-step explanation:

Answer:

Area=1/2 b×h

A1=1/2×8×14

=56m²

A2=1/2 ×16×14

=112m²

therefore total area

=56+112

168m²

Answer:

k

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so

if one jar of coffee costs y$ then 4 jars of coffee costs

4y$

have a nice day

Answer:

Total cost = $a + 0.06a

Total cost = a(1 + 0.06)

Step-by-step explanation:

Given that :

Cost of item = $a

Sales tax = 6%

Total cost = cost of item + sales tax

Total cost = $a + (6% of a)

Equation 1:

Total cost = $a + 0.06a

Equation 2:

Total cost = $a + 0.06a

Total cost = a(1 + 0.06)

Answer:

x=3

Step-by-step explanation:

so in order to solve this question we are going to plug in u for 2^x

3((2^x)/2)=2^x+4

3u/2=u+4

3u=2u+8

u=8

we can put 2^x back into the equation in order to find x

2^x=8

2^x=2^3

x=3

Answer:

2.1

Step-by-step explanation:

Answer:

GH = 4

Step-by-step explanation:

GH = AB due to congruency markings therefore

5y - 8 = 3y

-8 = =2y

4 = y

Answer:

GH=12

Step-by-step explanation:

You use what this other solution to the answer was. However, they did not include that GH is 3y, so while one y=4, 3y=12. Therefore, GH=12

Answer:

m∠E = 113

Step-by-step explanation:

Given that ΔDEF ≅ ΔPQR

We know that the following angles are congruent

∠D ≅ ∠P

∠E ≅ ∠Q

∠F ≅ ∠R

Now how do we know how these angles are congruent?

Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent

Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.

So we are also given that

∠R = 13 and ∠D = 54

and we need to find ∠E

Remember like stated previously ∠R ≅ ∠F so ∠F = 13°

Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)

Using the triangle angle rule (the angles in a triangle add up to equal 180)

so ∠E = 180 - ∠D - ∠F

now we plug in the given information

∠E = 180 - 54 - 13

180 - 54 = 126

126 - 13 = 113

so ∠E = 113

Answer:

72% increase

Step-by-step explanation:

688-400= 288 increase

288/400= 0.72

0.72x100=

72% increase

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The ratio is 6:2:1.

Step-by-step explanation:

Let's denote:

Blue counter b

Red counter r

Yellow counter y.

There is given

r=3b (three times more red as blue) [1]

and

b=2y (twice more blue as yellow.) [2]

Now, replacing [2] to [1] gives

3*2y=r

6y=r.

Hence, the ratio is 6:2:1, because r=6y and b=2y.

Answer:

840 Gallons

Step-by-step explanation:

Answer:

840 gal

Step-by-step explanation:

Answer:

Step-by-step explanation:

S(peed) = 10 mph

time = 1.5 hours

distance = s * time

distance = 10 * 1.5 = 15 miles

s = 7.5 mph

t = 2 hours

d = s * t

d = 7.5 * 2 = 15

Here total distance = 15 + 15 = 30 miles.

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

Answer:

the real answer is 379in³

Answer: 390

Step-by-step explanation:

To find the surface area of the box, you need to find the area of each face of the box. So the front face is 9*14 equals 126. The side of the cube that has the lightest color is 9 times 3 equals 27. Then the last side you can see, is 3 times 14 equals 42. Because this is a rectangular prism, the front face is the same as the back face, the top face is the same as the bottom face, and the left side face is the same as the right side face. So adding all of the faces together you get 42+42+126+126+27+27=390.

Answer:

c

Step-by-step explanation: