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3 years ago

Which expression is the best estimate of 1 1/4 • 3 2/3 ? A) 2 •4 B) 1 •4 C)2•3 D) 1•3

Mathematics

2 answers:

Margarita [4]3 years ago

7 0

Answer:B

Step-by-step explanation:

Estimate it

Levart [38]3 years ago

4 0

Answer:

B) 1·4

Step-by-step explanation:

When you are estimating with mixed numbers, you should round them off to the closest integers that you can work with in your head.

1¼ is close to 1

3⅔ is close to 4

1¼ × 3⅔ is close to 1 × 4

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A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy during off-season. If 80 ro

kkurt [141]

double occupancy room=x

single occupancy room=y

x + y = 80,

90x + 80y = 6930

x=53

y=27

5 0

3 years ago

Complete the point-slope equation of the line through (1,3) (5,1) y-3=?

MaRussiya [10]

Answer:

$\huge\boxed{y-3=-\frac{1}{2}(x-1)}$

Step-by-step explanation:

Point-slope is:

$y-y_1=m(x-x_1)$

$m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}$

We have to complete the point-slope equation of the line through (1,3) (5,1).

--------------------------------------------------------

We have a incomplete equation of the line.

$y-3=m(x-x_1)$

We need to find the <u>slope</u> of the line, and the <u>value</u> of $x_1$ .

--------------------------------------------------------

<h3>Finding 'x1':</h3>

It seems that the value of 3 was used to be $y_1$ . This means that the point $(1,3)$ was used for the equation. This means that $x_1$ would have to be 1.

<h3>Finding Slope:</h3>

Slope is rise over run.

$m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$

We are given the points (1,3) and (5,1).

$m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}$

The slope is one-half.

--------------------------------------------------------

We now have enough information to complete the point-slope equation.

${\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}$

Our final equation is:

$y-3=-\frac{1}{2}(x-1)$

6 0

2 years ago

PLZ HELP I don't get this y-5=1/3(x+12)

Anna [14]

Answer:

If solving for slope

y = 1 /3 x + 9

7 0

2 years ago

Read 2 more answers

A recipe calls for 1 1/2 gallons of chopped onions.How many pounds of onions should you use if one cup of chopped onions weigh 6

Dvinal [7]

Answer:

15 pounds of onions are needed in the recipe.

Step-by-step explanation:

Total gallon of chopped onion needed for the recipe = 1 1/2 gallons

Solving the mixed fraction, we get

$1\frac{1}{2} = 1 + \frac{1}{2} = 1 + 0.5 = 1.5$

So, the chopped onion needed = 1.5 gallons

Also, 1 gallon = 160 ounces

So, 1.5 gallon = 1.5 x (160) ounces = 240 ounces

⇒ 1.5 gallon = 240 ounces

Now, 1 ounce = 0.0625 pounds

⇒ 240 ounces = 240 x 0.0625 pounds = 15 pounds

Hence, 15 pounds of onions are needed in the recipe.

6 0

3 years ago

What is the definition of Standard Deviation?

aleksandrvk [35]

Answer:

b. Square root of the variance

Step-by-step explanation:

The standard deviation measure how scattered the data of the set is, in other words, measure the dispersion. A low value is found when the points are close to the mean, and when the value is high the data uses a wider range of values. To calculate its value, the simple way, you need the variance because the standard deviation is the square root of the variance.

6 0

2 years ago