We read your photo as:

Solve the following arithmetic problems: 1.1 Multiplication, 1.2 Division, 1.3 Division, 1.4 Multiplication and Subtraction, 1.5 Ratio problem, 1.6 Distance.

Mathematics

ScanSolve AI Answer

Step-by-step solution

20 steps

Here are the solutions to the problems:

Part 1.1· 1 step

  1. Multiply the numbers.

    28694×428=1228035228694 \times 428 = 12280352

    The product is 12280352\boxed{\text{12280352}}.

Part 1.2· 1 step

  1. Divide the numbers.

    187296÷4=46824187296 \div 4 = 46824

    The quotient is 46824\boxed{\text{46824}}.

Part 1.3· 1 step

  1. Divide the numbers.

    46514÷17=2736.1176...46514 \div 17 = 2736.1176...

    Since this is likely intended to be an exact division or a whole number answer, let's recheck the calculation.

    46514÷17=2736 with a remainder of 246514 \div 17 = 2736 \text{ with a remainder of } 2

    If the question implies an exact division, there might be a typo in the number. Assuming it's meant to be calculated as given:

    46514÷17≈2736.1246514 \div 17 \approx 2736.12

    The quotient is approximately 2736.12\boxed{\text{2736.12}}.

Part 1.4· 2 steps

  1. Perform the multiplication first.

    563×18=10134563 \times 18 = 10134
  2. Perform the subtraction.

    10134−4=1013010134 - 4 = 10130

    The result is 10130\boxed{\text{10130}}.

Part 1.5· 4 steps

  1. Find the total number of parts in the ratio.

    Total parts =3+4=7= 3 + 4 = 7

  2. Calculate the value of one part.

    Value of one part =R3507=R50= \frac{\text{R}350}{7} = \text{R}50

  3. Calculate Kenzie's share.

    Kenzie's share =3×R50=R150= 3 \times \text{R}50 = \text{R}150

  4. Calculate Connor's share.

    Connor's share =4×R50=R200= 4 \times \text{R}50 = \text{R}200
    Kenzie gets R150\boxed{\text{R150}} and Connor gets R200\boxed{\text{R200}}.

Part 1.6· 2 steps

  1. Use the formula for distance

    Distance = Speed ×\times Time.
    Given speed =60 km/hour= 60 \text{ km/hour} and time =8 hours= 8 \text{ hours}.

  2. Substitute the values and calculate the distance.

    Distance=60 km/hour×8 hours=480 km\text{Distance} = 60 \text{ km/hour} \times 8 \text{ hours} = 480 \text{ km}

    We can travel 480 km\boxed{\text{480 km}}.

Part 1.7· 2 steps

  1. Use the formula for speed

    Speed = Distance ÷\div Time.
    Given distance =480 km= 480 \text{ km} and time =4 hours= 4 \text{ hours}.

  2. Substitute the values and calculate the speed.

    Speed=480 km4 hours=120 km/hour\text{Speed} = \frac{480 \text{ km}}{4 \text{ hours}} = 120 \text{ km/hour}

    We are driving at a speed of 120 km/hour\boxed{\text{120 km/hour}}.

Part 1.8· 7 steps

  1. Draw a factor tree for 24.

    24/ \2   12   / \   2   6      / \      2   3\begin{array}{c} 24 \\ / \ \backslash \\ 2 \ \ \ 12 \\ \ \ \ / \ \backslash \\ \ \ \ 2 \ \ \ 6 \\ \ \ \ \ \ \ / \ \backslash \\ \ \ \ \ \ \ 2 \ \ \ 3 \end{array}
  2. Write 24 as a product of its prime numbers.

    24=2×2×2×3=23×324 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3

    The prime factorization of 24 is 23×3\boxed{2^3 \times 3}.

    2.a

  3. List the given fractions

    25,610,720,12,34\frac{2}{5}, \frac{6}{10}, \frac{7}{20}, \frac{1}{2}, \frac{3}{4}.

  4. Find the least common denominator (LCD) for all fractions.

    The denominators are 5, 10, 20, 2, 4. The LCD is 20.

  5. Convert each fraction to an equivalent fraction with a denominator of 20.

    25=2×45×4=820\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} 610=6×210×2=1220\frac{6}{10} = \frac{6 \times 2}{10 \times 2} = \frac{12}{20} 720=720\frac{7}{20} = \frac{7}{20} 12=1×102×10=1020\frac{1}{2} = \frac{1 \times 10}{2 \times 10} = \frac{10}{20} 34=3×54×5=1520\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
  6. Arrange the fractions in ascending order by comparing their numerators

    7, 8, 10, 12, 15.

    720,820,1020,1220,1520\frac{7}{20}, \frac{8}{20}, \frac{10}{20}, \frac{12}{20}, \frac{15}{20}
  7. Write the original fractions in ascending order.

    720,25,12,610,34\boxed{\frac{7}{20}, \frac{2}{5}, \frac{1}{2}, \frac{6}{10}, \frac{3}{4}}
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp