Help me make 5 quests for 30 points please !!

1) Eliot and William went hiking. They went at the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It too

Vitek1552 [10]

Answer:

1) 2 hours

2) 96 miles

Step-by-step explanation:

1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.

Elliot:

Distance = 8 miles

Speed = x mph

Time $=\dfrac{8}{x}$ hours

William:

Distance = 12 miles

Speed = x mph

Time $=\dfrac{12}{x}$ hours

It took Eliot $40\ min=\dfrac{40}{60}\ hour=\dfrac{2}{3}\ hour$ less than William, then

$\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph$

So, William's hike was

$\dfrac{12}{6}=2$

hours long.

2) Initially:

Distance = 120 miles

Speed = 55 mph

Time $=\dfrac{120}{55}=2\dfrac{10}{55}=2\dfrac{2}{11}\$ hours

Final:

Speed = 44 mph

Time $=2\dfrac{2}{11}$ hours

Distance $=44\cdot 2\dfrac{2}{11}=44\cdot \dfrac{24}{11}=4\cdot 24=96\ miles$

8 0

3 years ago

A student says that the measures of coterminous angles are never opposites of each other. Is the student correct?Explain

sweet [91]

A student says that the measures of coterminal angles are never opposites of each other, the student is wrong because Coterminal angles are angles in standard position (angleswith the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.

5 0

4 years ago

Read 2 more answers

A person's blood pressure is monitored by taking 4 readings daily. The probability distribution of his reading had a mean of 13

ss7ja [257]

Answer:

a) Mean = 133, Standard deviation = 2.5

b) Normal distribution

c) 0.0026

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 4