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2 years ago

6

Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c= 5 1 c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=

15d, equals, 15.

2 answers:

earnstyle [38]2 years ago

5 0

Answer:

4

Step-by-step explanat5 1/5 adding c+cd =4

Illusion [34]2 years ago

3 0

5c + cd when c=1/5 and d=15 is ...
5(1/5) + (1/5)(15) = 1 + 3 = 4

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The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to

Elenna [48]

Answer:

$y = -\frac{4}{3}x + 9$

Step-by-sep explanation:

To create an equation that represents the shortest oath of the swimmer that is perpendicular to the shoreline, we need to find the slope, m, and the y-intercept, b.

The slope of the path would be the negative reciprocal of the slope of the shoreline, since they are perpendicular.

Let's find the slope of the shoreline.

Using two points on the shoreline, (0, 1) and (4, 4),

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}$

Therefore the slope, m, of the swimmer's path that is perpendicular to the shoreline would be -⁴/3.

Use the point of the swimmer and the slope of the path to find b.

Substitute m = -⁴/3, (x, y) = (6, 1) in $y = mx + b$

$1 = (-\frac{4}{3})(6) + b$

$1 = -8 + b$

Add 8 to both sides

$1 + 8 = b$

$9 = b$

$b = 9$

Now that we know the slope, m = -⁴/3, and the y-intercept, b = 9, plug in their values into $y = mx + b$ .

The equation of the path would be:

$y = -\frac{4}{3}x + 9$

5 0

2 years ago

Given: LMNB is a square, LM = 20cm, P∈ LM , K ∈ PN , PK = 1 5 PN, LP = 4 cm Find: Area of LPKB

Bad White [126]

Answer:

80 cm²

Step-by-step explanation:

Trapezoid LPKB has area ...

A = (1/2)(b1 +b2)h = (1/2)(4 +20)(20) = 240 . . . . cm²

Triangle BPN has area ...

A = (1/2)bh = (1/2)(20)(20) = 200 . . . . cm²

Triangle BKN has a height that is 4/5 the height of triangle BPN, so will have 4/5 the area:

ΔBKN = (4/5)(200 cm²) = 160 cm²

The area of quadrilateral LPKB is that of trapezoid LPNB less the area of triangle BKN, so is ...

240 cm² - 160 cm² = 80 cm²

6 0

2 years ago

Solve for the value<br> 14/5 = z/25

Sladkaya [172]

Answer:

z = 70

Step-by-step explanation:

Multiply by 25 on both sides:

14/5 = z/25

25(14/5) = (z/25)

25(14/5) = z

Divide:

25(14/5) = z

25(2.8)‬ = z

Multiply:

25(2.8)‬ = z

70 = z

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2 years ago

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julie jot 21 of the 23 questions of her math test correct she got 29 of the 32 questions on her science test correct on which te

Alenkasestr [34]

$Make\ a\ common\ denominator:\\\\\frac{21}{23}\ \ \ \ \ \ \ \ \frac{29}{32}\\\\\frac{21\cdot32}{23\cdot32}\ \ \ \ \ \ \ \frac{29\cdot23}{32\cdot23}\\\\\frac{672}{736}\ \ \ > \ \ \ \frac{667}{736}$

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2 years ago

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Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

LenKa [72]

Answer:

The cost of per kilogram of salami is = $9.1

Step-by-step explanation:

Given:

Hailey paid $13 for $1\frac{3}{7}$ kg of sliced salami.

To find cost per kilogram of salami.

Solution:

We will apply unitary method to find per kilogram cost of salami.

If $1\frac{3}{7}$ kg of salami costs = $13

Then 1 kg of salami will cost in dollars will be = $13\div 1\frac{3}{7}$

In order to divide by mixed numbers, we will convert mixed numbers to fractions.

⇒ $13\div \frac{(7\times1)+3}{7}$

⇒ $13\div \frac{10}{7}$

In order to divide by fractions we will take reciprocal of divisor and then multiply.

⇒ $13\times \frac{7}{10}$

⇒ $\frac{13\times7}{10}$

⇒ $\frac{91}{10}$

⇒ $9.1$

Thus, cost of per kilogram of salami is = $9.1

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2 years ago

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