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Sedaia [141]
4 years ago
15

Write a real-world problem that could be represented by the expression 3(23). Then explain how you could solve the problem menta

lly.
Mathematics
1 answer:
Natalija [7]4 years ago
5 0
3(23) really means 3*23, or just 3 multiplied by 23.  For example: "Jana has 23 dollars.  Her friend John has $23, and his friend Jacob also has 23 dollars.  How much money do they have all together?"  To solve this problem mentally, you could break 3*23 into two numbers you're familiar with multiplying, like 20 and 3, and then add the numbers together.  For example: 3*20 + 3*3.  3*20=60, 3*3=9, and 60+9=69.  So, 3*23=69.
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6383 to the nearest hundred<br>​
olasank [31]

Answer:

6400

Step-by-step explanation:

its 6400 to the nearest hundred

3 0
3 years ago
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Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

6 0
3 years ago
Paul bought a package of 6 spiral notebooks for a total cost of $13.50. which equation represents p, the cost, in dollars, of ea
jek_recluse [69]
6p=13.50

there are 6 notebooks and it costs $13.50 altogether. P represents the cost of one notebook, therefore the equation would be 6p=13.5. It can be rearranged to p=13.5/6
5 0
3 years ago
8x = 8+2(x-10)+3x hurry please ill give you brain lesst
rewona [7]

Answer:

x = -4

Step-by-step explanation:

8x = 8 + 2(x-10) + 3x

simplify

8x = 8 + 2x - 20 + 3x

simplify again

8x = 5x - 12

subtract 5x from both sides

3x = -12

divide both sides by 4

x = -4

7 0
3 years ago
What is the following sum? Assume x &gt; 0 and y &gt; 0 sqrt x^2y^2+2 sqrt x^3y^4+xy sqrt y
Gwar [14]

Answer:

xy(1+2y\sqrt{x}+\sqrt{y})

Step-by-step explanation:

Given expression,

\sqrt{x^2y^2}+2\sqrt{x^3y^4}+xy\sqrt{y}

=(x^2y^2)^\frac{1}{2} + 2(x^3y^4)^\frac{1}{2} + xy\sqrt{y}

\because (\sqrt{x}=x^\frac{1}{2})

=(x^2)^\frac{1}{2} (y^2)^\frac{1}{2} + 2(x^3)^\frac{1}{2} (y^4)^\frac{1}{2} + xy\sqrt{y}

(\because (ab)^n=a^n b^n)

=x^{2\times \frac{1}{2}} y^{2\times \frac{1}{2}} + 2(x^{3\times \frac{1}{2}})(y^{4\times \frac{1}{2}})+xy\sqrt{y}

\because (a^n)^m=a^{mn}

=x^1 y^1 + 2x^{1\frac{1}{2}} y^2 + xy\sqrt{y}

=xy+2x.(x)^\frac{1}{2} y^2 + xy\sqrt{y}

=xy+2xy^2\sqrt{x}+xy\sqrt{y}

=xy(1+2y\sqrt{x}+\sqrt{y})

8 0
3 years ago
Read 2 more answers
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