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zmey [24]
3 years ago
7

Which equation has infinitely many solutions?

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0

Answer:

<h2>5(2x + 4) = 10(x + 2)</h2>

Step-by-step explanation:

An equation has infinitely many solutions when they end in 0 = 0, that is, both sides are exactly equivalent. In this case, basically, all real numbers are solution, it's like a line under the same line, it's like the reflexive property, every number is equal to itself.

The expression that fulfil that definition is the second one, because:

<h3>5(2x + 4) = 10(x + 2)</h3><h3>10x + 20 = 10x + 20</h3><h3>10x - 10x = 20 - 20x</h3><h3>0 = 0</h3>

Therefore, it's demonstrated that the second equation has infinite solutions, that is, all numbers are solutions.

luda_lava [24]3 years ago
3 0

Answer:

the answer is B

Step-by-step explanation:

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Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring
Andrei [34K]

Answer:

Matt will need 10176  square quilts to cover the wall

Step-by-step explanation:

To answer this perfectly, we will have to first convert everything to the same unit.

dimensions of the quilt squares = 3 inches

Length of the wall = 1 yard = 36 inches

Breadth of the wall = 212 feet = 2544 inches.

The next step, is to find the area of the wall that Matt is covering.

Area of wall = length X breadth = 36 X 2544 = 91584in ^{2}

We will also find the area of the square quilts. This is given as length X length = 3^{2}=9 in^{2}

to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts

= 91584 /9 = 10176 quilts

Matt will need 10176 quilts to cover the wall

5 0
3 years ago
The equation for the cross section of a parabolic satellite television dish is y = 1/45 x2, measured in inches. How far is the f
patriot [66]

Answer:

11.25

Step-by-step explanation:

The equation for a parabola is:

y − k = 1/(4p) (x − h)²

where (h, k) is the vertex and p is the distance from the focus to the vertex.

1/(4p) = 1/45

4p = 45

p = 11.25

The distance from the vertex to the focus is 11.25 inches.

3 0
3 years ago
What is the scale factor solve of x
Natasha_Volkova [10]
The scale factor is 2

x = 11.5

14/7 = 2

23/x = 2

x = 11.5

3 0
3 years ago
Read 2 more answers
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0
3 years ago
The ratio of rabbits to guinea pigs in a shop is 2:7. The ratio of brown rabbits to grey rabbits is 2:3.What fraction of the ani
Arturiano [62]
Answer: 2/15
Explanation: 2/9 x 3/5 then simplify it
8 0
3 years ago
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