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Lorico [155]
3 years ago
9

Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slic

es, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.
Luke cut his cake into how many slices?

Kira cut her cake into how many slices? and

Ali cut her cake into how many slices.
Mathematics
2 answers:
Tanzania [10]3 years ago
5 0
It would be 6;9;12 hope this helps
Allisa [31]3 years ago
4 0

Answer:

6; 9; 12

Step-by-step explanation:

It's possible because they cut cakes into different no. of slices

Luke: 2/3 of the cake are 4 slices

Entire cake 4/(2/3) = 4×3/2 = 6 slices

Kira: 2/3 of the cake are 6 slices

Entire cake 6/(2/3) = 6×3/2 = 9 slices

Ali: 2/3 of the cake are 8 slices

Entire cake 8/(2/3) = 8×3/2 = 12 slices

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The sum of twice a number and 3 times the same number as 40. What is the number?
Gnom [1K]

Answer:

Let the number be x

According to Question ,

2x + 3x = 40

5x = 40

x = 8

therefore , the number is 8

hope that helps uh...☺

6 0
2 years ago
Read 2 more answers
Jeff wants to save $4000 to buy a used car. He has already saved $850. He plans to save an additional $150 each week. write and
kupik [55]

Answer:

21 weeks

Step-by-step explanation:

150*21=3150

3150+850=4000

8 0
2 years ago
Solve the system of equations using matrices. x+7y=02x−8y=22 Question 7 (Mandatory) (1 point) Step 1. Find the coefficient matri
Alex Ar [27]

Answer:

x=7

y =-1

Step-by-step explanation:

Given is a system of equations in x and y as

x+7y=0\\2x-8y =22

This can be written in matrix form as

Ax = B

\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}0\\22\end{array}\right]

Let us find inverse of A

|A| = -8-14 =-22

A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]

X= A ^(-1) B

x=7, y =-1

4 0
3 years ago
Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.
maw [93]

Answer:

a) 7a/8; b) 5a/8  

Step-by-step explanation:

Given:

AP = 2PQ = 2QB

Calculations:

1. A to the midpoint of QB

        a = AP + PQ + QB

If 2PQ = 2QB.

    PQ = QB and

    AP = 2PQ

∴      a = 2PQ + 2PQ = 4PQ

    PQ = a/4

    AP = 2PQ = a/2

Let M be the midpoint of QB.

AM = AP + PQ + QM

     = a/2 + a/4 + a/8

     = 7a/8

2. Midpoints of AP and QB

Let N be the midpoint of AP

NM = NP + PQ + QM

      = a/4 +a/4 + a/8 =

      = 5a/8

 

5 0
2 years ago
Lucy is a dress maker. She sews \dfrac47
Strike441 [17]

Answer:

\frac{16}{21} dresses

Step-by-step explanation:

We are given that

Lucy sews dress in 3/4 hours=\frac{4}{7} of dress

Lucy sews at constant rate.

We have to find the number of dresses sewed by Lucy in hour.

To find number of dress sewed by Lucy in 1 hour we will use unitary method.

By using unitary method

Lucy sews in 3/4 hours=\frac{4}{7} dress

Lucy sews in 1 hour=\frac{\frac{4}{7}}{\frac{3}{4}}

Lucy sews in 1 hour=\frac{4}{7}\times \frac{4}{3}

Lucy sews in 1 hour=\frac{16}{21} dresses

Hence, Lucy sews \frac{16}{21} dresses in 1 hour.

5 0
3 years ago
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