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vova2212 [387]
2 years ago
11

Need some help with the question in the image​

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
6 0

Step-by-step explanation:

cost of 1 kg of jam = x

cost of 1 kg of butter = y

3x + 2y = 29 .....1

6x + 3y = 54 .....2

.....1 × 2 both sides of equation

6x + 4y = 58 .....3

.....3 - ......2

y = 4

replace y = 4 in 1......

3x + 8 = 29

x = 7

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Leslie ran 4 1/2 laps around the park in 3/4 hour. Kayla ran 3 1/2 laps around the same park in the same amount of time. How man
Arte-miy333 [17]
Leslie:
h= hours
3/4h=4 1/2 laps
divide both sides by 3/4 or .75
1 hour = 6 laps
Kayla:
3/4h= 3 1/2 laps
divide both sides by 3/4
1 hour = 4 2/3 laps
Leslie can do C
1_ 1/3 more laps in an hour than Kayla
5 0
3 years ago
Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify
Lena [83]

The expression of all the algebra as single rational exponent are; As written below.

<h3>How to Express Exponents?</h3>

1) We want to express ⁴√x³. This can be expressed as;

x^(3/4)

2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x

3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)

We add the exponents to get;

¹⁰√(x¹¹) = x^(¹¹/₁₀)

4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)

We just add the exponents to get;

x¹ = x

Read more about Exponents at; brainly.com/question/11761858

#SPJ1

3 0
2 years ago
A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
3 years ago
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo
Digiron [165]

Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

(x,y)\to(kx,ky) , where k = scale factor

Given : Scale factor = -\dfrac13

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)

(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)

(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

8 0
3 years ago
The base of a triangle is x in. The area is 14 in2. What is the height of the triangle?
ddd [48]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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