Question

1. Периметра прямокутника дорівнює 18 дм, одна з його сторін на 1,5 дм більша за сусідню. Знайдіть площу прямокутника? 2. Пачка паперу дорожча за набір олівців на 7,2 грн. Скільки коштує пачка паперу і скілки - набір олівців, якщо за 4 пачки папіеру заплатили стільки ж, скільки за 10 наборів олівців? 3. За 5 шоколадних цукерок і 6 льодяників заплатили 13 грн. 40 к. Скільки коштує цукерка і скільки - льодяник, якщо цукерка дорожча за льодяник на 70 к.? Мне очень надо до завтра, пожалуйста

Answer 1

Ответ:

1) задача:

18×1,5=27 м²

ответ:27 м²

2) задача:

олiвцi-4,8грн

папер-12грн

10х=4(х+7,2)

10х=4х+28,8

10х-4х=28,8

6х=28,8

х=28,8:6=4,8-олiвцi

х+7,2=4,8+7,2=12-папер

3) задача

шоколадная конфета-х

сосательная -у

5х+6у=13,4

х=у+0,7

5х+3,5+6у=13,4

11у=9,9

у=0,9

х=1,6

Answer 2

1. To find the area of a rectangle, we need to know the length and width of the rectangle. In this case, we are given the perimeter of the rectangle, which is 18 dm, and the information that one side is 1.5 dm longer than the other side. Let's denote the shorter side as x dm.

The perimeter of a rectangle is given by the formula: perimeter = 2(length + width). Since we know that one side is 1.5 dm longer than the other, we can express the length and width in terms of x:

Length = x + 1.5 dm Width = x dm

Substituting these values into the perimeter formula, we get: 18 dm = 2((x + 1.5 dm) + x dm)

Simplifying the equation: 18 dm = 2(2x + 1.5 dm) 9 dm = 2x + 1.5 dm 7.5 dm = 2x x = 3.75 dm

Now that we know the width of the rectangle, we can find the length: Length = x + 1.5 dm = 3.75 dm + 1.5 dm = 5.25 dm

To find the area of the rectangle, we multiply the length by the width: Area = Length * Width = 5.25 dm * 3.75 dm = 19.6875 dm²

Therefore, the area of the rectangle is approximately 19.6875 dm².

2. Let's denote the cost of a pack of paper as P and the cost of a set of pencils as C. We are given that a pack of paper is more expensive than a set of pencils by 7.2 UAH. Additionally, we know that the cost of 4 packs of paper is the same as the cost of 10 sets of pencils.

From the given information, we can set up the following equations: P - C = 7.2 UAH (Equation 1) 4P = 10C (Equation 2)

We can solve this system of equations to find the cost of a pack of paper and the cost of a set of pencils.

From Equation 2, we can express P in terms of C: P = (10/4)C = 2.5C

Substituting this into Equation 1, we get: 2.5C - C = 7.2 UAH 1.5C = 7.2 UAH C = 7.2 UAH / 1.5 C ≈ 4.8 UAH

Now that we know the cost of a set of pencils, we can find the cost of a pack of paper: P = 2.5C = 2.5 * 4.8 UAH ≈ 12 UAH

Therefore, the cost of a pack of paper is approximately 12 UAH and the cost of a set of pencils is approximately 4.8 UAH.

3. Let's denote the cost of a chocolate candy as C and the cost of a lollipop as L. We are given that a chocolate candy is more expensive than a lollipop by 70 kopeks. Additionally, we know that the cost of 5 chocolate candies and 6 lollipops is 13.40 UAH.

From the given information, we can set up the following equations: C - L = 70 kopeks (Equation 1) 5C + 6L = 13.40 UAH (Equation 2)

We can solve this system of equations to find the cost of a chocolate candy and the cost of a lollipop.

From Equation 1, we can express C in terms of L: C = L + 70 kopeks

Substituting this into Equation 2, we get: 5(L + 70 kopeks) + 6L = 13.40 UAH 5L + 350 kopeks + 6L = 13.40 UAH 11L + 350 kopeks = 13.40 UAH 11L = 13.40 UAH - 350 kopeks 11L = 13.40 UAH - 3.50 UAH 11L = 9.90 UAH L = 9.90 UAH / 11 L ≈ 0.90 UAH

Now that we know the cost of a lollipop, we can find the cost of a chocolate candy: C = L + 70 kopeks = 0.90 UAH + 70 kopeks = 0.90 UAH + 0.70 UAH = 1.60 UAH

Therefore, the cost of a chocolate candy is approximately 1.60 UAH and the cost of a lollipop is approximately 0.90 UAH.

I hope this helps! Let me know if you have any other questions.