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2 years ago

How many different 5-digit whole

Mathematics

1 answer:

Lerok [7]2 years ago

4 0

Answer:

120

Step-by-step explanation:

this 5 interrogative marks are our 5 digit number

for the first place you have 5 choices(2, 3, 4, 5, 6)

for the second:4

for the third:3

for the fourth:2

and for the fifth:1

you multiply this choices

5×4×3×2=120

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3 years ago

Read 2 more answers

The width of a rectangle field is 3h yards and its length is 3 yards longer than the width. The field has a fence around its per

d1i1m1o1n [39]

Answer:

Part a) $P=(12h+2)\ yd$

Part b) The expression that represent the cost of fencing the field is $(336h+56)$

Part c) $\$1,736$

Step-by-step explanation:

<u>The complete question in the attached figure</u>

Part a) we know that

The perimeter of the rectangular field (excluding the width of the gate) is equal to

$P=2(L+W)-4$

we have

$L=(3h+3)\ yd\\W=3h\ yd$

substitute the given values

$P=2(3h+3+3h)-4$

$P=2(6h+3)-4\\P=12h+6-4\\P=(12h+2)\ yd$

Part b) we know that

To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard

$28(12h+2)=336h+56$

Part c) we have

h=5

substitute the value of h in the expression of the cost

$336(5)+56=\$1,736$

8 0

3 years ago

Factor and solve 121r^2-64t^2

dexar [7]

Answer:

(11r + 8t)(11r - 8t)

Step-by-step explanation:

difference of two squares

6 0

2 years ago

Select the best answer for the question

Klio2033 [76]

Answer:

C. $\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]$

Step-by-step explanation:

The given matrices are;

$F=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]$

and

$C=\left[\begin{array}{ccc}12&0&\frac{3}{2}\\1&-6&7\end{array}\right]$

$FC=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]\left[\begin{array}{ccc}12&0&\frac{3}{2}\\1&-6&7\end{array}\right]$

$FC=\left[\begin{array}{ccc}12(-2)+0(1)&0(-2)+-6(0)&\frac{3}{2}(-2)+7(0)\\12(0)+8(1)&0(0)+8(-6)&0(\frac{3}{2})+8(7)\\2(12)+1(1)&2(0)+1(-6)&2(\frac{3}{2})+1(7)\end{array}\right]$

This simplifies to;

$FC=\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]$

The correct answer is C

5 0

2 years ago