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3 years ago

Is 7 1/5 a rational number

Mathematics

2 answers:

kolbaska11 [484]3 years ago

7 0

Yes because when you turn into a decimal it's 7.2

Gre4nikov [31]3 years ago

4 0

Yes..............
It turns to decimal

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1. 15 is what percent of 40? 2. 15 is 30% of what number? 3. What number is 120% of 70?

Elis [28]

1. 15 is what percent of 40?
15 * 100 / 40 = 37.5
answer is 15 is 37.5% of 40

2. 15 is 30% of what number?
15 / 0.3 = 50
answer : 15 is 30% of 50

3. What number is 120% of 70?
120% = 1.2
1.2 + 1 = 2.2

2.2 * 70 = 154
answer: 154 is 120% of 70?

5 0

2 years ago

Q1. A fluorescent lamp takes in energy from the electricity supply at the rate of 18 joules each second. It gives out 3 joules o

Dmitrij [34]

Answer:

15 joules

Step-by-step explanation:

SUBTRACT 3 FROM 18

18 JOULES-3 JOULES=15 JOULES

HOPE IT HELPS

8 0

2 years ago

Hi how do I solve this simultaneous equation

WITCHER [35]

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

8 0

2 years ago

Which of the following statements are true of the parabola shown?

Vesna [10]

True statements are:

It has a directrix of x = - 4.
It has a focus at (4, 0).

Step-by-step explanation:

We have the following statements to check on whether it's right or wrong:

1. It has a directrix of x = -4:

According to figure , parabola directrix is at -4 i.e. at x = -4 , Therefore this statement is true!

2. It opens to the left:

In figure, Parabola opens to right not left , Therefore this statement is wrong!

3. It has a vertex at the origin:

Vertex of Parabola is at what points not shown in figure. Therefore this statement cannot be confirmed as true.

4. The axis of symmetry is the y-axis:

Axis of symmetry for above parabola is x-axis as it cuts parabola into two equal halves , y-axis doesn't do this ! Therefore this statement is wrong!

5. It has a focus at (4, 0):

Parabola focus is at $F(4,0)$ on x-axis . And so, Therefore this statement is true!

3 0

3 years ago

Read 2 more answers

A quality engineer measured 75 bolts. The length (in mm) and the number of flaws on each of 75 bolts is recorded.

andre [41]

Answer:

Variables: length of bolt, number of flaws of bolt

ii)

Length of bolt: Quantitative continuous

number of flaws of bolt: Quantitative discrete

iii)

Observational unit: Bolts

iv)

sample size=75

Step-by-step explanation:

The variables in the conducted study are "length of bolt" and "number of flaws on each bolt" because quality engineer is interested in evaluating the length of bolt and the number of flaws each bolt is having. Thus, the length and number of flaws for each bolt varies and we can say that "length of bolt" and "number of flaws on each bolt" are two variables in the conducted study.

ii)

The length of bolt can be presented numerically and further that the length of a bolt is measurable and thus, the length of bolt is a quantitative continuous variable.

The number of flaws of each bolt can be presented numerically and further that the number of flaws of each bolt can be counted and thus, the number of flaws of each bolt is a quantitative discrete variable.

iii)

The conducted study indicates that observational units are "bolts" because for each bolt its length and flaws are determined.

iv)

The sample size is 75 because a quality engineer selected 75 bolts and then measured its length and flaws.

6 0

3 years ago