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3 years ago

16.2 Jumping Rope

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

Percentage of Diego's time is 75%.

Step-by-step explanation:

Given : Jumping Rope hool held a jump-roping contest. Diego jumped rope for 20 minutes. A school held a jur Jada jumped rope for 15 minutes.

To find : What percentage of Diego's time is that?

Solution :

Diego jumped rope for 20 minutes.

Jada jumped rope for 15 minutes.

Percentage of Diego's time is given by,

$\text{Percentage change}=\frac{\text{Jada time}}{\text{Diego time}}\times 100$

$\text{Percentage change}=\frac{15}{20}\times 100$

$\text{Percentage change}=75\%$

Therefore, percentage of Diego's time is 75%.

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Please urgently please❤️ Please help

irinina [24]

Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

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

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

4 0

3 years ago

If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

Leno4ka [110]

Answer:

$A = 6$ .

Step-by-step explanation:

Let $a$ denote a constant (a number, rather than a variable like $x$ .)

Let $f(x)$ denote an expression about $x$ (for example,

By the factor theorem, if $(x - a)$ is a factor of $f(x)$ , then $f(a) = 0$ . In other words, if all mentions of $x$ in the expression $f(x)\!$ are replaced with $a$ , then the expression should evaluate to zero.

$(x + 3)$ is equivalent to $(x - (-3))$ . That is: $a = -3$ .

Replace all mentions of $x$ in $x^3 - x^2 - 10\, x + A$ by $(-3)$ to get:

$(-3)^3 - (-3)^2 - 10\times (-3) + A$ .

That should evaluate to zero. Therefore: $-27 - 9 + 30 + A = 0$ . Solve for $A$ to get $A = 6$ .

7 0

3 years ago

Can someone help me with this please

e-lub [12.9K]

Answer: y=-2x+6

Step-by-step explanation:

$m=\frac{6-2}{0-2}=\frac{4}{-2}=-2$

So $y=2x+b$ . We can substitute (0, 6) to get:

6 = 2(0)+b

b=6.

Meaning y=-2x+6.

8 0

3 years ago

For what value of p makes this equation true?

Naya [18.7K]

Step-by-step explanation:

Multiplication property of order

answer:C

p=-45

3 0

2 years ago

Short Response To earn a varsity letter on the baseball team, you must play in 60% of the games. Derek played in 11 out of 18 ba

Alla [95]

Answer:

Yes, he earned a Varsity letter because he played in 61% of the games.

Step-by-step explanation:

To know the percent of games he played out of the total, we can do it by dividing the games he played by the total of games and multiply this by 100% to get the percent of games he played:

$\frac{11}{18}*100%$

We solve:

0.611111*100% = 61.11%

So we know that he earned a letter because he played in 61.11% of the games, more than he needed.

7 0

3 years ago