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2 years ago

Emily wants to watch her intake of fat per day.

Mathematics

2 answers:

gavmur [86]2 years ago

6 0

Answer:

68.5%

Step-by-step explanation:

We are given that Emily estimates that her dinner will have 48 grams of fat.

From the given guideline of the recommended daily allowances, we can see that the recommended allowance of fat is 70 grams.

We are to find the percentage of her total daily allowance of fat will the dinner be.

$\frac { 4 8 } { 7 0 } \times 100 =$ = 68.5%

Harman [31]2 years ago

6 0

Answer:

The answer is 69%.

Step-by-step explanation:

Emily wants to watch her intake of fat per day.

She estimates that the dinner will have 48 grams of fat.

As per the guidelines given, the fat intake of women can be 70 grams.

Emily will be taking 48 grams of 70 grams.

So, the percentage of her total daily allowance of fat that she will consume for dinner will be = $\frac{48}{70}\times100= 68.57$

And rounding this to whole number we get 69%.

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I need the answer on number 5

luda_lava [24]

I believe Z=18
Example:
2/3z + 1 = 13
Multiply both sides: 2/3z * 3 + 1 * 3 = 13 * 3
Refine: 2/3z + 3 = 39
Subtract from both sides: 2z + 3 - 3 = 39 - 3
Refine: 2z=36
2z/2 = 36/12
Z=18

6 0

2 years ago

On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is

sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

Point P is at (4, 2),
Point Q is at (8, 5),
Point R is at (5, 9), and
Point S is at (1, 6)

Midpoint of SQ $=\frac{1}{2}(1+8,5+6)=(4.5,5.5)$

Midpoint of PR $=\frac{1}{2}(4+5,2+9)=(4.5,5.5)$

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

Slope of RP =7

Slope of SQ $=-\dfrac17$

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0

2 years ago

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

Given that:

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$