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Hatshy [7]
2 years ago
9

Arithmetic sequence, help with #18 plz

Mathematics
1 answer:
GREYUIT [131]2 years ago
6 0

Answer:

15th term is 29/4

Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

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Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how m
artcher [175]

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

Since she bought 12 boxes , each box cost =$36/ 12=$3

5 0
3 years ago
Rewrite the equation 4x + 5x2 = 8x – 7 in standard form and
Makovka662 [10]

Answer:

The correct option is a=5, b = -4, c=7 ....

Step-by-step explanation:

The standard form is ax²+bx+c=0

where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

The given expression is:

4x + 5x2 = 8x – 7

To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.

4x+5x²-8x+7=0

Now solve the like terms and arrange the equation according to the standard form:

ax²+bx+c=0

5x² - 4x +7 =0

Here a = 5

b = -4

c= 7

Thus the correct option is a=5, b = -4, c=7 ....

4 0
3 years ago
How to solve this please help me 2/3×1/2(3/4÷1 2/5)​
Damm [24]

Answer:

0.624999999(repeating) so i would round it to 0.625 or 0.63 (both work and are rounded, its really up to wherever your teacher wants you to round it to if they want you to round it)

Step-by-step explanation:

2/3 x 1/2 (3/4 ÷ 2/5)=

simplify the parentheses (3/4 ÷ 2/5) to 1.875

2/3 x 1/2 x 1.875=

simplify 2/3 x 1/2 to 0.333333(repeating)

0.3333333333 x 1.875 = 0.6249999999(repeating)

round it to 0.625 or 0.63 (which ever one your teacher wants you to round it to)

3 0
4 years ago
How many feet is 2678 cm?
Tpy6a [65]
87 feet 10.331 inches
5 0
3 years ago
Find an equation of the circle that has center (-1, 3) and passes through (-4, -2)
shepuryov [24]

Answer:

Your answer would be    (x + 1)^{2}   + (y - 3)^{2}  = {34} .

Step-by-step explanation:

The formula for the equation of a circle is (x - h)^{2}  + (y - k)^{2}  = r^{2}, where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is (x + 1)^{2}  + (y - 3)^{2}. Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get  d = \sqrt{34}, so the radius is \sqrt{34}. But, we want the radius squared, which is 34. So, the final answer is what I wrote above.

Hope that helped! :)

3 0
4 years ago
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