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GaryK [48]
3 years ago
10

What is 1.5( 3a - 12b + 10) equal to?

Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0
1.5(3a-12b+10)=4.5a-18b+15
ki77a [65]3 years ago
3 0
4.5a-18b+15
Hope this helps!
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8(h-1)=6h+4+2h solve for h
Dima020 [189]

Answer:

No Solution

Explanation:

Given the equation:

8\mleft(h-1\mright)=6h+4+2h

Step 1: Distribute the terms in the left-hand side.

8h-8=6h+4+2h

Step 2: Collect like terms.

\begin{gathered} 8h-6h-2h=4+8 \\ 0=12 \\ \text{But:} \\ 0\neq12 \end{gathered}

Therefore, the equation has No Solution.

8 0
1 year ago
Find the tenth term of an arithmetic sequence if the third term is 19 and the sixth term is 37.
larisa [96]

\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_3&19\\ a_4&19+d\\ a_5&19+d+d\\ a_6&19+d+d+d\\ &19+3d\\ &\\ \cline{1-2} \end{array}~\hspace{5em} \begin{array}{llll} \stackrel{a_6}{37}=19+3d\implies 18=3d \\\\\\ \cfrac{18}{3}=d\implies 6=d \end{array}


since we know the <u>common difference</u> is d is 6, then to get from the 6th term to the 10th term, we use d 4 more times.

6th term..................37

7th term...................37 + 6

8th term...................37 + 6 + 6

9th term...................37 + 6 + 6 + 6

10th term...................37 + 6 + 6 + 6 + 6

.....................................61.

7 0
3 years ago
Read 2 more answers
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is
xenn [34]

Answer:

Option A is correct

3.33 ft wide should the metal piece be.

Step-by-step explanation:

Area of rectangle(A) is given by:

A =lw              .....[1]

l is the length and w is the width of the rectangle respectively.

As per the statement:

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²

⇒A = 30 ft²

It is also given that the length is 1 less than 3 times the width

⇒l = 3w -1 ft

Substitute the given values in [1] we have;

30 = (3w-1) \cdot w

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

then;

30 = 3w^2-w

We can write this as:

3w^2-w-30 = 0

Factorize this equation:

Split the middle term we have;

3w^2-10w+9w-30 = 0

⇒w(3w-10)+3(3w-10=0)

⇒(3w-10)(w+3)=0

By zero product property we have;

3w-10 = 0 and w+3 = 0

Since, w cannot be negative;

so,

w = \frac{10}{3} = 3.3333.. ft

Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.

7 0
3 years ago
Read 2 more answers
A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability th
xenn [34]

Answer:

1)0

2)3/8

Step-by-step explanation:

2)total number of participants who are at least 20 years old = 3

Total number of participants= 8

8 0
3 years ago
Find the area and perimeter
mihalych1998 [28]

Answer:

Area=2232 square ft

Perimeter=206 ft

Step-by-step explanation:

given

the diagram is a rectangle

length=72 ft

width=31 ft

we know that

formula of the area of rectangle= length × width

Area=72×31 square ft

Area=2232 square ft

Now calculate the perimeter

perimeter of rectangle=2(length+width)

perimeter=2(72+31)

perimeter=2(103)

perimeter=206 ft

6 0
2 years ago
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