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3 years ago

(It's a fraction). 5/2 + 5/7

Mathematics

2 answers:

xxMikexx [17]3 years ago

8 0

Answer:

3 3/14

Step-by-step explanation:

First look for the LCM of the denominators 2 Andy 7. The LCM is 14.

then , divide the denominators by 14 and add the results to the numerators of both fractions divided by 14.

you‘ll have something like this 35+10/14

=45/14

= 3 3/14

STALIN [3.7K]3 years ago

4 0

5/2 + 5/7
2*7=14
35/14+10/14
45/14 or 3 3/14

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Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.

wolverine [178]

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve $5x^{2}$ + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

$5x^{2}$ + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± $\sqrt{b^2 - 4 (ac)}$ / 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2± $\sqrt{2^2 - 4(5 - 1)}$ / 2 ⋅ 5

Simplify.

x = -2 ± 2 $\sqrt{6}$ / 10

x = -1 ± $\sqrt{6}$ / 5

Exact Form:

x = -1 ± $\sqrt{6}$ / 5

4 0

3 years ago

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

4 0

3 years ago

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1

scoundrel [369]

Answer:

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .

Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:

n α t

=> n = kt

where k = constant of proportionality

She can make 4 baskets in every 1/2 hour.

This means that:

4 = k * 1/2

=> k = 4 * 2 = 8 baskets per hour

The time is now 5 hours (t = 5). Therefore:

n = 8 * 5 = 40 baskets

She can make 40 baskets in 5 hours.

8 0

3 years ago

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

SVEN [57.7K]

(g-f)(x)=g(x)=f(x)

(g-f)(x)=6x-4+x^2

(g-f)(x)=x^2+6x-4 then:

(g-f)(3)=3^2+6*3-4

(g-f)(3)=9+18-4

(g-f)(x)=23

7 0

3 years ago

How many ways can nine trophies be arranged on a shelf

irga5000 [103]

Answer:

it depends on the shelf

Step-by-step explanation:

6 0

3 years ago