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2 years ago

6

from her home ciera traveled 5.8 miles north to the grocery store then 2.1 miles west to the library what is the distance from h

er home to the library

1 answer:

alex41 [277]2 years ago

4 0

Answer:

i believe it’s 7.9 miles

Step-by-step explanation:

if there’s no specific location of the house then 7.9 must be the answer

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Which property is shown in the following statement? 7 · 1 = 7 A. identity property of multiplication B. associative property of

Elan Coil [88]

Answer:

identity property of multiplication

Step-by-step explanation:

Identity property of multiplication means the identity stays the same. in other words to multiply by 1.

7 0

2 years ago

Read 2 more answers

Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

$\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt$
$\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k$

Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$

8 0

3 years ago

Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a

LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- $5x+2y=50$

Equation 2- $x+2y=30$

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- $5x+2y=50$

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- $x+2y=30$

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

$5x+2y-x-2y=50-30$

$4x=20$

$x=\frac{20}{4}$

$x=5$

Put value of x in equation 2

$x+2y=30$

$5+2y=30$

$2y=25$

$y=\frac{25}{2}$

$y=12.5$

Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5

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2 years ago

Read 2 more answers

If y varies inversely as x, and y=6 when x=3. Then find the value of y when x=32

s2008m [1.1K]

Answer: y = 18/32

Step-by-step explanation: Okay the equation is xy = k

You plug in x and y.

(3)(6) = k

18 = k

To get the value of y when x = 32 you plug in 32.

Use this equation now y = k/x

Now it is y = 18/32

And that is your answer!

7 0

2 years ago

The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.

mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

$A=\frac{k}{B}$

Where k is the proportionality constant [that we need to find]

For this problem, we can write the ratio as:

$N=\frac{k}{C}$

Now given N = 480 and C = 4.90, we first find k:

$N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352$

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

$N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55$

Rounding to next whole number, we have 436 items

5 0

2 years ago