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son4ous [18]
3 years ago
14

Identify the 33rd term of the arithmetic sequence 9, 7 and one half, 6...

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

  -39

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...

  a33 = 9 -1.5(33 -1) = 9 -48 = -39

The 33rd term is -39.

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A can of tuna has a shape similar to the shape of a large water take the can of tuna has a diameter of 3 inches and a height of
ankoles [38]
6 yards = 216 inches

make a proportion and cross multiply:

3/216 = 2/x
*cross multiply*
3x = 216(2)

x = 144 inches or 4 yards
5 0
3 years ago
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3. How much is withheld for Medicare each week for all three of<br> Dr. Olson's employees?
Natalija [7]

Answer: Do you have a picture of the questions??

Step-by-step explanation:

7 0
3 years ago
Which expression is equivalent to the given expression using the commutative property of addition.​
9966 [12]

The given question is wrong.

Question:

Which expression is equivalent to the given expression using commutative property of addition? 2(x + b) + 3(xa).

Answer:

Option C:

3(xa) + 2(x + b)

Solution:

Given expression is 2(x + b) + 3(xa).

To find the equivalent expression using commutative property of addition.

Let us first define the commutative property of addition.

a + b = b + a

You can add in any order.

Now, write the given expression using commutative property.

2(x + b) + 3(xa) = 3(xa) + 2(x + b)

Option C is the correct answer.

Hence 3(xa) + 2(x + b) equivalent expression using commutative property of addition.

8 0
3 years ago
The length of a rectangle is 3 less than 2 times its width. The area of the rectangle is 77 squared feet.
larisa86 [58]

Answer:

Let the Width(W) =X feet

then Length(L) = (2X-3)feet

Area of the rectangle (A)=77 square feet

A = L× W

L×W=A

(2X-3) × X = 77

2X²- 3X =77

2X²-3X -77=0

Solving it using the factorization method

2X²-14X+11X-77=0

(2X²-14X)+(11X-77)=0

2X(X-7) + 11(X-7)=0

(2X+11)(X-7) =0

When 2X+11=0

X= -11/2

When X-7=0

X = 7

Therefore X= 7

Width = X feet

= 7feet

The width is 7feet

Length = (2X-3)feet

= (2×7) -3)feet

=(14-3)feet

=11feet

3 0
2 years ago
PLEASE HELP!! URGENT!!!! UNIT TEST!!!!
slavikrds [6]

ANSWER

y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16


EXPLANATION


Let us find the gradient of the line:

-3x+4y=4 by rewriting it in the slope intercept form.


\Rightarrow 4y=3x+4


We divide through by 4 now;


\Rightarrow y=\frac{3}{4}x+1


This is now in the form;

y=mx+c

where

m=\frac{3}{4} is he slope.


This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of m=\frac{3}{4} .


Thus the perpendicular line has slope,

m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}.


Let the perpendicular line have equation,


y=mx+c

When we substitute the slope we have;


y=-\frac{4}{3}x+c

We substitute the point. (4,0) to find c.


0=-\frac{4}{3}(4)+c


0=-\frac{16}{3}+c


\frac{16}{3}=c

We substitute c to obtain;


y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16

7 0
3 years ago
Read 2 more answers
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