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Murljashka [212]
2 years ago
14

What is the answer to this equation

Mathematics
1 answer:
julia-pushkina [17]2 years ago
6 0

Answer:

x = - \frac{494}{3} = - 164\frac{2}{3}

Step-by-step explanation:

75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}

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The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. ​What is the 1st term of the sequence.
Ostrovityanka [42]

Answer:

<h3>             a₁ = -1</h3>

Step-by-step explanation:

a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1

6 0
3 years ago
Please answer ASAP ......
svetoff [14.1K]
10 cm same length as UT
3 0
3 years ago
A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted
Julli [10]
Since there are 360^{\circ} in a circle, and central \angle AOB = 90^{\circ}, you can see that the part "sliced out" by the central angle is \frac{90^{\circ}}{360^{\circ}} = \frac{1}{4} of the whole circle.

This means that the length of the intercepted arc \stackrel{\frown}{AB} is \frac{1}{4} of the circumference of the circle. So,

\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm



6 0
3 years ago
Find the perimeter of the semicircle when diameter is 3.5 cm. (1 Point)
Feliz [49]

● Answer:

8.995 cm

● Step-by-step explanation:

P = d + L/2

d = 3.5 cm

L/2 = 2pi×r/2

= pi×d/2

= 3.14×3.5/2

= 5.495 cm

P = 3.5cm + 5.495

= 8.995 cm

8 0
3 years ago
What number is 1/10 as great as 7,962
yanalaym [24]
Assuming your question can be rewritten as:
"What number is 10% greater than 7,962"

7962 * 110% = itself + 10%
= 7962 * 1.10   <----- (1.10 = 110%)
= 8758.2
5 0
3 years ago
Read 2 more answers
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