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4 years ago

6

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?

2 answers:

Misha Larkins [42]4 years ago

8 0

Answer:

D. No, the system of equations has no solution.

Step-by-step explanation:

To find out whether Lisa is correct, lets solve by following the steps below;

x=4y-4 -------------------------------------------------------------------(1)

2x-8y=-24--------------------------------------------------------------(2)

Lets rearrange equation (1)

x - 4y = -4 ------------------------------------------------------------------(1)

2x-8y=-24--------------------------------------------------------------(2)

Multiply through equation (1) by 2

2x-8y=-24--------------------------------------------------------------(2)

2x - 8y = -8 --------------------------------------------------------(3)

subtract (2) from equation (1)

0 =-16

but 0 ≠ -16

This implies that the system of equations has no solution.

Nookie1986 [14]4 years ago

6 0

Answer:

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?

x=4y-4

2x-8y=-24

A.Yes, Leslie is correct.

B. No, the solution is (-8,-24)

C. No, the solution is (0,-16)

<u>D. No, the system of equations has no solution. </u>

Step-by-step explanation:

you have to solve they as a pair of simultaneous equations and their is no solutions

if you need a more detailed explanation post the question again and i will write a detailed explanation

plz mark as brainliest

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Mom wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 20% syrup?

Wittaler [7]

Answer:

Let x pound of the sugar to make 20% syrup.

As per the statement:

Mom wants to make 5 Ibs of the sugar syrup.

We have to find how much water and sugar does she need to make 20% syrup.

By definition of proportion; we have

$\frac{x}{5} = \frac{20}{100}$

Simplify:

$\frac{x}{5} = \frac{1}{5}$

Multiply both sides by 5 we get;

$x = 1$

Remaining = 5 -1 = 4 pounds of water

Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.

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Answer:

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Step-by-step explanation:

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3 years ago

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Y=-1/3x-9 in standard form

Slav-nsk [51]

Answer:

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Step-by-step explanation:

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4 years ago

Can you please help me

Ket [755]

Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is $\frac{3}{4}$ ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means $\frac{L_{1} }{L_{2}}$ = $\frac{W_{1} }{W_{2}}$ , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L $_{1}$ = 14 and W $_{1}$ = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L $_{2}$ = 10.5 and W $_{2}$ = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

corresponding dimensions in the two rectangles (image/pre-image)

∵ $\frac{L_{2} }{L_{1}}$ = $\frac{10.5}{14}$ = $\frac{3}{4}$

∵ $\frac{W_{2} }{W_{1}}$ = $\frac{4.5}{6}$ = $\frac{3}{4}$

∴ The scale factor for the dilation is $\frac{3}{4}$

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is $\frac{3}{4}$

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3 years ago

A car travels 21 km in 16 minutes. What is its average speed in km/h?

bekas [8.4K]

Answer:

78.6km/h

Step-by-step explanation:

<em><u>Speed=distance÷time</u></em>

<u>distance</u>=21km

<u>time</u>=16 minutes<u>(convert into hour by dividing it</u> <u>with 60)</u>

=16÷60=0.267

Speed=21÷0.267=78.65km/h

$speed = \frac{distance }{time}$

$speed = \frac{21}{0.267} = 78.6km(h$

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3 years ago