Ask question

Ask question

All categories

4 years ago

8

A girl gave her cousin $2.15 in nicels and dimes . Altogether, she gave her cousin 28 coins . How many of them were dimes? How m

any were nickels?

1 answer:

mart [117]4 years ago

7 0

Answer: 15 dimes and 13 nickels

Step-by-step explanation:

You might be interested in

Brennan is planting seeds. He has 1/5 of a pack of seeds and 555 flower pots. He wants to use the same amount of seeds in each p

Darina [25.2K]

I think it is B or C because they are very similar.

5 0

3 years ago

How many pairs (a, b), where a and b are positive integers, satisfy the equation a2−b2=105? PLS HELP

Vlad [161]

Answer:

4

Step-by-step explanation:

The left side of the equation can be factored as the difference of squares:

(a -b)(a +b) = 105

The right side of the equation can be factored to 4 different pairs of factors:

105 = 1·105 = 3·35 = 5·21 = 7·15

For each of the factor pairs, we can match factors to get, for example, ...

a -b = 1

a +b = 105

The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...

(a, b) = (53, 52)

For the other factor pairs, the solutions are ...

(a, b) = (19, 16), (13, 8), (11, 4)

There are a total of 4 positive integer solutions.

6 0

3 years ago

7 adult tickets and 7 kids tickets equal 50 dollars. Adult tickets are twice as expensive as the kid’s ticket. How much do the t

Shalnov [3]

Answer:

Cost Of Kid's tickets =16.66

Cost of Adult's tickets=33.34

Step-by-step explanation:

5 0

3 years ago

All three sides of a triangle are initially 4 m in length. One of the triangle's sides is oriented horizontally. The triangle is

Arlecino [84]

Answer:

the new height of the triangle = 2.449

Step-by-step explanation:

Given that:

the sides of the triangle are 4m in length i.e they are equal. It shows that the triangle is known to be an equilateral triangle.

Let say the triangle is a triangle IJK

Let the length of the side to be i = 4

Definitely

IJ = JK = IK = i = 4

If a midline is drawn and cuts the equilateral triangle in two equal halves of a right-angle triangle. Then, suppose the midline is L

Then ;

$JL = \dfrac{1}{2} JK$

$JL = \dfrac{1}{2} i$

Let consider triangle IJL

(IL)² = (IJ)² - (JL)²

$(IL)^2 = i^2 - \dfrac{i^2}{4}$

$(IL)^2 = \dfrac{3i^2}{4}$

$(IL) =\sqrt{ \dfrac{3i^2}{4}}$

$IL =\sqrt{3} \dfrac{i}{2}$

Area of triangle IJK can be expressed as:

$Area = \dfrac{1}{2}\times Base \times Height$

$Area = \dfrac{1}{2}\times i \times \sqrt{3}\dfrac{i}{2}$

$Area = \sqrt{3}\dfrac{i^2}{4}$

where, i = 4

Then:

$Area = \sqrt{3}\dfrac{4^2}{4}$

$Area = \sqrt{3} \dfrac{16}{4}$

$Area =4 \sqrt{3}$

when the area is exactly half of the original triangle's area, the new height is :

$A = \dfrac{1}{2} \times Area$

$\sqrt{3} \dfrac{i^2}{4} = \dfrac{1}{2} \times 4\sqrt{3}$

$\dfrac{i^2}{4} = \dfrac{1}{2} \times 4$

$\dfrac{i^2}{4} =2$

$i^2 = 8$

$i= \sqrt{8}$

$i= \sqrt{4 \times 2}$

$i= 2 \sqrt{2}$

Finally, the new height of the new triangle is:

$IL =\sqrt{3} \dfrac{i}{2}$

$IL =\sqrt{3} \dfrac{2 \sqrt{2}}{2}$

$IL =\sqrt{3 \times 2}$

$IL =\sqrt{6}$

IL = 2.449 m

6 0

4 years ago

PLEASE HELP I NEED THE ANSWER ASAP PLEASE PLEASE !! ILL GIVE BRAINLIEST.

soldier1979 [14.2K]

Answer:

10 + 5i & 10 - 5i

Step-by-step explanation:

10 + 5i is still just 10 + 5i because we treat i like it's x.

Complex conjugate if I remember correctly is like a + or - form, so I believe 10 - 5i is correct?

Hope this helped.

8 0

3 years ago