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Len [333]
2 years ago
12

Eric plays piano and guitar. He practiced on both instruments for a total of 8 hours this week. He practiced the piano for 3/4 o

f that time. For how many hours did Eric practice the piano this week?
Mathematics
1 answer:
Ivan2 years ago
7 0
If you would like to know how many hours did Eric practice the piano this week, you can calculate this using the following steps:

the piano: 3/4 of 8 hours = 3/4 * 8 hours = 6 hours

The correct result would be 6 hours.
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A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and
9966 [12]

Step-by-step explanation:

The area of a rectangle is 171 m²

Let l is the length and b is the width of the rectangle

It width is 10 m less than the length. So,

b = l-10 ...(1)

Area of a rectangle is given by :

A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0

or

l = 9 m or l = 19 m

If l = 9 m,

b = 9-10 = -1 m (can't be possible)

If l = 19 m

b = 19-10 = 9 m

So, the length an the breadth of the rectangle is 19 m and 9 m respectively.

8 0
2 years ago
Susan plans to add $4.23 per week to her savings . how much money will she have after 12 weeks? Create a table showing how much
balu736 [363]

Week 1: 4.23

———————

Week 2: 8.46

Week 4: 16.92

Week 6: 25.38

Week 8: 33.84

Week 10: 42.30

Week 12: 50.76

I can’t draw a graph on here but it’s basically a straight line.

Equation: y=4.23x

y is the amount of money she has at x weeks

5 0
3 years ago
Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?
mestny [16]

Answer:

<h3>77</h3>

Step-by-step explanation:

If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC

Given

<ABC = 10x - 7,

<ABD = 6x + 5

<DBC = 36

Substituting the given parameters into the formula above;

ABD+<DBC = <ABC

6x + 5+ 36 = 10x-7

6x+41 = 10x-7

collect like terms

6x-10x = -7-41

-4x = -48

divide both sides by -4

-4x/-4 = -48/-4

x = 12

To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5

<ABD = 6(12)+5

<ABD = 72+5

<ABD =77

Hence the value of <ABD is 77

5 0
2 years ago
Write and evaluate the expression. Then, check all that apply.
Elena L [17]

Answer:

The correct expression is n + 8

The value of the expression = 5.3 + 8

The answer is 13.3

Step-by-step explanation:

The expression for eight increased by a number

Assume that the number is n

Increased eight by n means add n to eight

The correct expression is n + 8

When n = 5.3

Substitute 5.3 for the variable n

The value of the expression = 5.3 + 8

Simplify by adding 5.3 and 8

5.3 + 8 = 13.3

The answer is 13.3

8 0
3 years ago
Read 2 more answers
John wants to plant some flowers in a cube shaped planter box if one edge of the box measures 4 inches how much soil will be nee
Lynna [10]
About 4 inches of soil is needed
7 0
2 years ago
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