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Katarina [22]
3 years ago
15

Four times the sum of a number and 3 is 5 times that number

Mathematics
1 answer:
Mila [183]3 years ago
6 0
<span>Four times the sum of a number and 3 is 5 times that number

4 (n + 3) = 5n

hope that helps</span>
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Two boys on bicycles, 45 miles apart, began racing directly toward each other. The instant they started, a fly on the handle bar
BlackZzzverrR [31]

Complete question is: Each bicycle have speed 10 mi/h and fly flies at 21 mi/h. How far the fly flies?

Answer:

47.25 mi

Step-by-step explanation:

The relative velocity of the bicycles is 10+10 = 20 mi/h

Time in which the two bicycles meet:

t=\frac{45}{20} = 2.25 h

Distance covered by fly:

d=vt\\d=21mi/h\times 2.25h \\d=47.25 mi

3 0
3 years ago
Write an equation in slope intercept form for a line that passes through the origin with a slope of 3/2
mrs_skeptik [129]

Answer: y = (3/2)x

m = 3/2 is the slope

(x1,y1) = (0,0) is the point we want the line to go through, aka the origin

Use point slope form, plug in the given values, and convert to slope intercept form

y - y1 = m(x - x1) .... point slope form

y - 0 = (3/2)*(x - 0) .... substitution

y = (3/2)x .... final answer in slope intercept form

4 0
2 years ago
Please help with this question​
ioda

Answer:

25

Step-by-step explanation:

\frac{5^8 \times 5^{-2}}{5^4}

\frac{5^{8+-2}}{5^4}

\frac{5^{6}}{5^4}

5^{6-4}

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=25

3 0
3 years ago
Which equation demonstrates the additive identity property?
Mrrafil [7]

Answer:

Step-by-step explanation:

Solve for o in the equation (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 41o(7 + 4)(1) = 7 + 41o(7 + 41) + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 41o(7 + 4): Distribute the 41o to each term in (7+4)

41o * 7 = (41 * 7)o = 287o 41o * 4 = (41 * 4)o = 164o

Our Total expanded term is 287o + 164o

Simplify 41o(7 + 41): Distribute the 41o to each term in (7+41)

41o * 7 = (41 * 7)o = 287o 41o * 41 = (41 * 41)o = 1681o

Our Total expanded term is 287o + 1681o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o(1) = 7 + 287o + 1681o + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 164o(1): Distribute the 164o to each term in (1)

164o * 1 = (164 * 1)o = 164o Our Total expanded term is 164o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o = 7 + 287o + 1681o + ( - 7 - 41) = 0

Step 1: Group variables: We need to group our variables (7 and 14©(7. To do that, we subtract 14©(7 from both sides (7 - 14©(7 = 14©(7 - 14©(7

Step 2: Cancel 14©(7 on the right side: 0o = 0 Step 3: Divide each side of the equation by 0

5 0
3 years ago
A. No; Each side of triangle PQR is not the same length as the corresponding side of triangle STU.
ruslelena [56]
B yes both triangles have an obtuse angle
7 0
2 years ago
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