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4 years ago

PLEASEEE HELP!!! Find value of y!

Mathematics

1 answer:

Romashka-Z-Leto [24]4 years ago

6 0

Step-by-step explanation:

9x+21=11x-1 (corresponding angle)

-2x=-22

x=11

11x-1+5y-5=180

11*11+5y-6=180

121+5y-6=18

5y+115=180

5y=180-115

5y=65

y=13

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Buddy the elf and Jovie are planning to start running together for a few days per week. In order to estimate how far they could

eduard

Answer:

a) Buddy's Unit rate is 11 minutes per 1 mile.

Jovie's unit rate is 10 minutes and 30 seconds or 10.5 per 1 mile.

A unit rate is the amount per one unit.

b) 5 miles. Or if Buddy and Jovie count their miles separately then 10 miles together since each runs 5 miles.

Step-by-step explanation:

a) A unit rate is the amount per one unit. At a grocery store, the unit rate is dollar cost per 1 unit bought. In a race, the unit race is the time it takes to one 1 mile.

Since Buddy can run 1/2 a mile in 5 minutes and 30 seconds, we can double his time for a full mile. 2*5 min is 10 minutes and 2*30 sec is 60 seconds or 1 minute. Buddy runs 11 minutes per mile.

Since Jovie can run 1/2 a mile in 5 minutes and 15 seconds, we can double the time for a full mile. 2*5 min is 10 minutes and 2*15 sec is 30 seconds. Jovie runs 10 minutes and 30 seconds per mile. This can also be written as 10.5 mins per mile.

b) Because we know how long it takes to run 1 mile, we can calculate how many miles can be run in a specific time frame by dividing it by the unit rate. An hour has 60 minutes. Divide 60 by Buddy's unit rate. 11 minutes per 1 mile. 11 divides into 60 to give 5.4545454....miles. We round up or down to the nearest mile to give 5 miles completed in 1 hour. If each runs 5 miles then together they run 10 miles.

3 0

3 years ago

A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

Can you simplify this?

Brilliant_brown [7]

144 - 12g^2.

Because we don't know the value of g, there's nothing else we can do.

8 0

3 years ago

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

kati45 [8]

Answer:

Option: D is correct.

Step-by-step explanation:

since we are given a inequality as:

$y$

Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.

Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.

Hence, option D is true.

6 0

4 years ago

Will pay $5 to whoever solves this :)

Nataly [62]

Can u send a better picture pls

8 0

3 years ago