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3 years ago

5. Draw the number line graph of -3.

Mathematics

1 answer:

lana [24]3 years ago

4 0

Answer:

9, 7,-8.3,>

Step-by-step explanation:

5)-3 is marked exactly 3 units to the left of origin 0.

(since negative sign we mark on left of 0)

6) |-9| = absolute value of 9 = 9

7) y-11=-4

Add 11 to both the sides

WE get y =7 is the solution

8) a + b when a = 2.5 and b = -10.8.

= 2.5+(-10.8) = -(10.8-2.5) = -8.3

9) 0.4 is positive hence lies to the right of origin.

Partition the space between 0 and 1 into 10 equal subparts and mark 4th subdivision to get 0.4

10) -1.8>-2.5

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Create an equation that has exactly one real solution. 6(3x+4)-x=_x+3

OleMash [197]

Answer:

$x(x+5)=x^2-3x+8$

Step-by-step explanation:

There are infinite cases of equations with exactly one real solution. To create something worth the space, this one should suffice

$x(x+5)=x^2-3x+8$

Operating

$x^2+5x=x^2-3x+8$

Simplifying

$5x=-3x+8$

Joining like terms

$8x=8$

Solving

x=1

Testing the result

$1(1+5)=1^2-3(1)+8=>6=6$

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3 years ago

Y=2x−1

lord [1]

Answer:

(1,1) is a solution of the system.

Step-by-step explanation:

Let's solve the system.

y = 2x - 1

5x - 4y = 1

In the first equation, y is already separated as a function of x. So we replace in the second equation;

5x - 4(2x - 1) = 1

5x - 8x + 4 = 1

4 - 1 = 8x - 5x

x = 1

y = 2x - 1 = 2(1) - 1 = 1

(1,1) is a solution of the system.

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3 years ago

A recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart. If 1 cup of hazelnuts weighs 4 ounces, w

DerKrebs [107]

Answer:

The amount is sufficient to make 75 tarts.

Step-by-step explanation:

We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.

The half cup of hazelnuts will weigh 2 ounces $(\frac{4}{2}=2)$ .

1 kg equals 35.274 ounces.

$\text{5 kg}=5\times 35.274\text{ ounces}$

$\text{5 kg}=176.37\text{ ounces}$

Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.

$\frac{176.37}{2}=88.185\approx 88$

Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.

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3 years ago

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kogti [31]

We have

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Then,

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D = 2.95;

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