mr. Hightower recorded the amount of each project that had been completed at the end of the week. the line plot describes the information he record ed. what fraction of the projects were 3/4 complete?

Answers

Answer 1

Answer: where's the line plot?

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The label on a 1 and 1/2 -pound bag of wildflower seeds states that it will cover an area of 375 square feet. Based on this information, what is the number of square feet that1 pound of wildflower seeds will cover?

a) 1/250 b) 250 c) 562.5 d)750 SHOW WORK

Answers

Answer: b) 250 square feet.

Step-by-step explanation:

Given: Area covered by $1(1)/(2)$ pounds of wildflower seeds =375 square feet

First we convert $1(1)/(2)$ into improper fraction i.e. $1(1)/(2)=(3)/(2)$ , then multiply 375 with the reciprocal of $(3)/(2)$ .

Now, Area covered by 1 pounds of wildflower seeds $=375*(2)/(3)$ square feet

Thus , Area covered by 1 pounds of wildflower seeds $=250$ square feet.

so a 1 and 1/2 bag will cover 375

1=2/2
1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375
2/2 pounds covers x
3/2pound=375
multiply both sides by 2 to get rid of the fraciton
3pound=750
divide both sides by 3
1pound=250 square feet so the answer is c. 250 square feet

There are 150 trees in the park. Mark noticed that 120 of them are maple trees. What percent of the trees are maple?

Answers

maple/total * 100 = percentage
120/150 * 100=80
80% of the trees are maple

80%. 120/150. divide 120 by 150 to get .8. .8 also is 80%

Z=sqrt 2[cos(-pi/4)+isin(-pi/4)]=a+bi what is a and b?

Answers

Answer:

$\boxed{\boxed{a=1,b=-1}}$

Step-by-step explanation:

The given expression is,

$z=√(2)\left[\cos(-(\pi)/(4))+i\sin (-(\pi)/(4))\right]$

According to Distributive property,

$=√(2)\cos(-(\pi)/(4))+i√(2)\sin (-(\pi)/(4))$

we know that,

$\cos(-(\pi)/(4))=\cos((\pi)/(4))=(1)/(\sqrt2)$

and

$\sin(-(\pi)/(4))=-\sin((\pi)/(4))=-(1)/(\sqrt2)$

Putting these,

$=√(2)\cdot (1)/(\sqrt2)-i√(2)\cdot (1)/(\sqrt2)$

$=1-i\cdot 1$

$=1-i$

Comparing this to $a+bi$ , we get

$a=1,b=-1$

Answer: a=1, b=-1

Step-by-step explanation: I got this right on Edmentum

Audrey drove 200 miles in 3.5 hours. Which equation can be used to find the rate "r" at which Audrey was traveling? (A) 200=3.5r
(B) 200x3.5=r
(C) r/3.5=200
(D) 200r=3.5