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Sphinxa [80]
3 years ago
9

Uses 10 4/5 oz of icing for every 1/4 of a cake what is the unit rate in ounces of icing for cake

Mathematics
1 answer:
Anton [14]3 years ago
4 0
1 whole cake= 1/4 + 1/4 + 1/4 + 1/4
1/4= 0.25

So we multiply 10 4/5oz per 1/4 cake by four to find out how many ounces are needed for 1 whole cake.

T= total ounces for 1 whole cake
T= (1 ÷ cake portion)(# ounces)
T= (1/0.25)(10 4/5)
change mixed fraction to improper
T= (4)(54/5)
multiply 4 by the numerator
T= (4*54)/5
T= 216/5 ounces for whole cake

T= 43 1/5 ounces for whole cake

Hope this helps! :)
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2. The German Shepard actually weighs 28 pounds. Lisa thought the
I am Lyosha [343]

Answer:

Lisa's percentage of error regarding the weight of the dog was 57.14%.

Step-by-step explanation:

Given that the German Shepard actually weighs 28 pounds, but Lisa thought the dog weighed 44 pounds, to determine what is the percent error the following calculation must be performed:

28 = 100

44 = X

(44 x 100) / 28 = X

4,400 / 28 = X

157.14 = X

157.14 - 100 = 57.14

Thus, Lisa's percentage of error regarding the weight of the dog was 57.14%.

8 0
3 years ago
Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2
victus00 [196]

Answer:

B)313 ft

Step-by-step explanation:

Hello,I think I can help you with this

to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey

Step 1

define

triangle

Hypotenuse=300 feet

opposite side=y

adjacent side=x

angle of depression =30°

Step 2

find the distances

cos\alpha =\frac{adjancent\ side}{hypotenuse}\\\\hypotenuse*cos\alpha =adjancent\ side\\ so\\x=adjancent\ side=hypotenuse*cos\alpha\\\\x=300\ft*cos 30 \\\\x=259.8076

so,  the point on the surface of the sea just above hailey is 259.8076 ft from the boat

sin\alpha =\frac{opposite\ side}{hypotenuse}\\\\hypotenuse*sin\alpha \\y=opposite\ side\\ so\\y=opposite\ side=hypotenuse*sin\alpha\\\\y=300\ft*sin 30 \\\\y=150

hailey is at a depth of 150 feet

Step 3

now,her partner is 25 feet directly below her,it is

partner's depth is =hailey is at a depth of 150 feet+25

Y=175

he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.

X=259.80

Step 4

to find  the distance between the partner and the boat we can use  

Pythagoras theorem

adjacentside^{2} +opposite side^{2} =hypotenuse^{2} \\\sqrt[2]{adjacentside^{2} +opposite side^{2}} =Hypotenuse\\Hypotenuse=\sqrt[2]{175^{2} +259.8076^{2}} \\\\Hypotenuse=313.24 ft

so, Hailey's diving partner is 313 ft away from the boat(B)

Have a great day.

3 0
3 years ago
A shirt is 39 dolars and on sale for 33% off and what is the discount and sale price
DanielleElmas [232]
33%=0.33

33% of 39=0.33*39=12.87
discount is 12.87
minus
39-12.87=26.13


sale price=$26.13
discount=$12.87
4 0
3 years ago
Read 2 more answers
How do you round a decimal to the nearest hundredth.
Dafna11 [192]
Rounding decimals is very similar to rounding other numbers. If the thousandths place of a decimal is four or less, it is dropped and the hundredths place does not change. For example, rounding 0.843 to the nearest hundredth would give 0.84.

If the thousandths place is five through nine, the hundredths place is increased by one. The decimal 0.846 rounded to the nearest hundredth is 0.85.

29/337 is not a decimal and I'm not sure why you are dividing it. Please specify. :-)
5 0
3 years ago
Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to d
PSYCHO15rus [73]

Answer:

Probably because learning to do polynomials by hand boosts understanding of the topic and improves general algebraic solving ability,both of which are required in further topics like advanced calculus and algebra

3 0
3 years ago
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