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Andrew [12]
3 years ago
13

The first two terms of 1/8 an 19/24 arithmetic sequence are and . What is the difference between every pair of consecutive terms

in the sequence? Express your answer in lowest terms.
Mathematics
1 answer:
zlopas [31]3 years ago
8 0
Have a look at 1/8 and 19/24.
Convert 1/8 to 3/24.
Note that 19/24 is obtained by adding 16/24 to 3/24. 
Thus, the common difference is 16/24, or 8/12, or 4/6, or 2/3.
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2 1/4 x 3 2/5<br> show all your work
monitta

Answer:

153/20

Step-by-step explanation:

I assume you're asking

2 \frac{1}{4}  \times 3 \frac{2}{5}

So

\frac{9}{4}  \times  \frac{17}{5}

=

\frac{153}{20}

5 0
3 years ago
Marcus can walk 1 mile to the library in the same time he can bicycle 2.5 miles to the sporting goods store. His speed on the bi
Maksim231197 [3]
Let
x------> <span>speed on the bicycle
y------> </span><span>speed walking

we know that
</span>x=6+y------> equation 1<span>
speed=distance /time-------> time=distance/speed
1/y=2.5/x-------> y=x/2.5------> x=2.5y-------> equation 2

equals 1 and 2
6+y=2.5y-----> 2.5y-y=6------> 1.5y=6-----> y=6/1.5-----> y=4 mi/h
x=6+y-----> x=6+4-----> x=10 mi/h

the answer is
the speed walking is 4 mi/h

</span><span>
</span>
6 0
4 years ago
The parallelogram ABCD below, line AC is a diagonal, the measure of angle ABC is 40, and the measure of angle ACD is 57. What is
Strike441 [17]

Answer:

Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment

In parallelogram ABCD, AC is a diagonal.

Given:  \angle ABC = 40^{\circ} and \angle ACD= 57^{\circ}

As, we know that opposite angles in parallelogram are equal.

therefore,

\angle ABC =\angle ADC= 40^{\circ}

Now, in ΔADC

Sum of the measures of angles in a triangle is 180 degree.

\angle ACD+ \angle ADC+\angle DAC =180^{\circ}

Substituting the values of \angle ADC= 40^{\circ} and  \angle ACD= 57^{\circ}  we have;

57^{\circ}+40^{\circ}+\angle DAC =180^{\circ}

or

97^{\circ}+\angle DAC =180^{\circ}

Subtract 97^{\circ} from both sides we get

\angle DAC =180 -97 =83^{\circ}

Therefore, the measure of angle CAD is 83^{\circ}.









3 0
3 years ago
Xác suất để một máy sản xuất ra sản phẩm loại I là 0,3. Cho máy đó sản xuất ra 3 sản
Neko [114]

Answer:

paki ayus po nang question ⁉️

7 0
3 years ago
What is the exact factorization of 12x+3xy+2zy+8z​
Kipish [7]

Answer:

3x2y−3xy+12x−12

Take out 3xy common from first two terms and 12 from last two terms.

3xy(x−1)+12(x−1)

(x−1)(3xy+12)

4 0
3 years ago
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