Distribute - 10 (1 + 3x).

Mathematics

2 answers:

Keith_Richards [23]3 years ago

8 0

Answer:

10 + 30x

Step-by-step explanation:

melamori03 [73]3 years ago

7 0

Answer:

-10 - 30x

Step-by-step explanation:

-10 (1 + 3x)

(-10 · 1) + (-10 · 3x)

-10 + -30x

-10 - 30x

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In wxy x=y, wx= 9x-11, xy= 4x-1, and wy= 7x-3, find x and the measure of each side

worty [1.4K]

Answer:

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that

2x - 11 = -3..........Then add 11 to both sides such that

2x = 8...........Then divide 2 such that

x = 4

Now we can find each side such that

WX = 9(4)-11 = 25

WY = 7(4)-3 = 25

XY = 4(4)+1 = 17

5 0

3 years ago

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

klio [65]

$y = - 2x + 53x - 4y = 2 \\ y = 51x - 4y = 2 \\ > y = 51 x - 4y \\ > 51x - 4y = 2$
$y = 51x - 4y \\ 5y = 51x \\ y = \frac{51}{5} x$
Substitute 51/5x into
$51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times \frac{10}{102} \\ x = \frac{10}{51} \: aka \: 0.196$
Substitute that into
$y = \frac{51}{5} \times \frac{10}{51} \\ y = 2$
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.

8 0

3 years ago

The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th

Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

$s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16$