Zoey made 5 and 1/2 cups of trail mix for a camping trip. She wants to divide the trial mix into 3/4 cup servings. Ten people are going on the camping trip. Can Zoey make enough 3/4 cup servings so each person on the trip has one serving?

Answers

Answer 1

Answer: No she can't. We could divide 5 1/2 cups by 3/4 cups but there is an easier way.

Let's change 3/4 to .75 and multiply by 10 since we need 10 servings.

.75 x 10 = 7.5 so she would need 7.5 cups or 7 1/2 cups
Since she only has 5 1/2 cups, she does not have enough.

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Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x=8

Step-by-step explanation:

This isosceles triangle is composed of two right triangles with sides 8, $√(80)$ , and y

As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem

$(√(80) )^2=8^2+y^2\n\n80=64+y^2\n\ny^2=16\n\ny=4$

As this is an isosceles triangle, these two right triangles are equal, this means that x=2y

Therefore, x=2(4)=8

Answer:

x=8

Step-by-step explanation:

5/2=d−2/4

What does d=?

Answers

Use GCF to find the denominator, then solve by adding 4/8 to the other side and simplify.

Answer:

d = 3

Step-by-step explanation:

$(5)/(2)=d-(2)/(4)\qquad\left/(2)/(4)=(2:2)/(4:2)=(1)/(2)\right/\n\n(5)/(2)=d-(1)/(2)\qquad\text{add}\ (1)/(2)\ \text{to both sides}\n\n(5)/(2)+(1)/(2)=d-(1)/(2)+(1)/(2)\n\n(5+1)/(2)=d\n\n(6)/(2)=d\to d=3$

7) Given that Sn=3-2^(-4n)is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.

Answers

Answer:

Step-by-step explanation:

$s_(n)=3-2^(-4n)\ns_(n+1)=3-2^(-4(n+1))=3-2^(-4n) *2^(-4)\ns_(n+1)-s_(n)=3-2^(-4n)*2^-4-3+2^(-4n)$

$=2^(-4n)-2^(-4n)*2^(-4)\n=2^(-4n)(1-2^(-4))\n=2^(-4n)((2^4-1)/(2^4))\n=2^(-4n)(15)/(16)\nU_(n+1)=15*2^(-4(n+1))$

a circular ink spot has a circumference of 25.12 millimeters, a minute later it has a circumference of 75.63 mm estimate the diameter of the ink spot each minute

Answers

well u will have to round those numbers and then multiply them wich will give u your answer

Zulfiya earns her regular pay $7.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Zulfiya is paid 1.5 times her regular pay. How much does Zulfiya earn for a week in which she works 46 hours? The answer is $367.5

Please show me the way of your solution

Answers

Zulfiya get $7.5 for each hour.
If she works more than 40 hrs she gets 1.5 times her regular pay.
She works for 46 hrs.
7.5×40=300
For next six hrs she gets 1.5 times her pay i.e. 7.5×1.5=11.25 for one hr.
for 6 hrs she gets 11.25×6=67.5
For 46 hrs she earns 300+67.5= $367.5

Edward buys a novel for $8.40 and a bookmark for $1.20 from a bookstore. The store is having a sale, and everything is 35% off! How much does Edward pay for both items ( not including tax )?

Answers

Let's start with calculating the $8.40 novel with the 35% off.

First, we need to convert the percentage (35%) into a decimal. We can do this by dividing the percentage over 100.

35/100 = 0.35

Now, our next step is to find 0.35% of $8.40 (original price of the novel). To do this, you need to multiply the percentage by the original price.

0.35% × $8.40 = 2.94

What we recently received (2.94), is the amount of money that we are saving from the sale. The original price of the novel was $8.40, and with the 35% off, we are saving $2.94 on it.

Our last step is to subtract the original price and the sale.

$8.40 - $2.94 = $5.46

Now - we know that our new cost just for the novel is $5.46.

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Moving on to the bookmark which costs $1.20, we can start by taking our percentage from last time (0.35) and instantly start multiplying just like we did on the novel.

0.35% × $1.20 = $0.42

So, with the 35% discount, you are saving $0.42 on the bookmark. Let's subtract and find the total amount Edward is having to pay now.

$1.20 - $0.42 = $0.78

He will purchase the bookmark for only $0.78.

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Our final step is to add both the novel and bookmark up to find the total price overall.

$5.46 + $0.78 = $6.24

Edward will have to pay $6.24 for both the novel and bookmark.

$8.40*0.65(the new price 65% of the original price that Edward needs to pay)=$5.46 $1.20*0.65=$0.78 5.46+0.78=$6.24

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