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2 years ago

Heidi is training for a marathon. her training started at 5km and increased by 1.5km every week.

Mathematics

1 answer:

Zigmanuir [339]2 years ago

3 0

22222443kmggggghhhhhuuuu

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Absolute value inequalities. 10-4|9y-10|<-94

Ivahew [28]

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:y4\:\\ \:\mathrm{Decimal:}&\:y4\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{16}{9}\right)\cup \left(4,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$10-4\left|9y-10\right|$

$10-4\left|9y-10\right|-10$

$-4\left|9y-10\right|$

$\left(-4\left|9y-10\right|\right)\left(-1\right)>\left(-104\right)\left(-1\right)$

$4\left|9y-10\right|>104$

$\frac{4\left|9y-10\right|}{4}>\frac{104}{4}$

$\left|9y-10\right|>26$

$9y-1026$

$y4$

5 0

2 years ago

In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the

horrorfan [7]

We can use ratios and the cross-multiply-divide to find this.

The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.

21/5 = x/100

We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

7 0

2 years ago

rene charges $2.25 for gasoline plus $8.50 per hour for mowing lawns what is x the number of hours he has to mow lawns to earn t

Black_prince [1.1K]

2.25 + 8.50x = 50

8.50x = 50 - 2.25

8.50x = 47.75
——— ———
8.50. 8.50

x = 5.6 hours

Hope that helps :)

4 0

3 years ago

The product of negative six and the sum of q plus two is twenty.

marshall27 [118]

Answer:

q=24

Step-by-step explanation:

2+-6=-4

20+4=24

The 24 is the sum of the 20 and to turn the negative into 0 plus the 20 equals 24

8 0

3 years ago

Solve the given system of equations2y=x+93x-6y=-15

attashe74 [19]

Answer:

No solutions

Explanation:

The given system of equations is

2y = x + 9

3x - 6y = -15

To solve the system, we first need to solve the first equation for x, so

2y = x + 9

2y - 9 = x + 9 - 9

2y - 9 = x

Then, replace x = 2y - 9 on the second equation

3x - 6y = -15

3(2y - 9) - 6y = -15

3(2y) + 3(-9) - 6y = -15

6y - 27 - 6y = -15

-27 = -15

Since -27 is not equal to -15, we get that this system of equation doesn't have solutions.

5 0

6 months ago