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2 years ago

6

The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount

of rain in Houston?
a 8g

b g + 8

c g - 8

d g ÷ 8

1 answer:

yarga [219]2 years ago

7 0

The correct answer is b

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Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile

Olenka [21]

Answer:

$1\frac{9}{91}\ hours$

Step-by-step explanation:

we know that

30 and one-third miles is equal to

$30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi$

one-third of an hour is equal to

$\frac{1}{3}\ h$

Applying proportion

$\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h$

Convert to mixed number

$\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h$

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3 years ago

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Divide 270 in the ratio 3:2:1

Contact [7]

3 + 2 + 1 = 6

270 ÷ 6 = 45

45 × 3 = 135

45 × 2 = 90

45 × 1 = 45

3 : 2 : 1

135 : 90 : 45

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3 years ago

Simplify <br>#hope <br>need your help

EleoNora [17]

Answer: brainliest please

Step-by-step explanation:

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What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49

alisha [4.7K]

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

= -(x² + 8x - 33)

= -(x² + 8x + 16 - 49)

= -[(x + 4)² - 49]

= -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

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3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the

sineoko [7]

Answer:

$h= 1500\,*\,sin(43^o)$

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

$sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)$

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