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3 years ago

I have a daily allowance of 70grm but have only used 48 what percentage do i have left

Mathematics

1 answer:

ladessa [460]3 years ago

4 0

Answer:

You have 31.43% of your allowance left.

Step-by-step explanation:

This question can be solved using a rule of three.

Your initial amount, of 70, is 100%.

The remaining amount, of 70 - 48 = 22, is x%. So

70 - 100%

22 - x%

$70x = 100*22$

$x = \frac{100*22}{70}$

$x = 31.43$

You have 31.43% of your allowance left.

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Consider the two triangles.

GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

Step-by-step explanation:

In Triangles WUV and XZY:

$\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.$

Therefore:

$\triangle UWV \cong \triangle XZY$

To show that the triangles are similar by the SSS similarity theorem, we have:

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

As a check:

$\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25$

The correct option is A.

4 0

3 years ago

Dave Flip a coin 20 times and got heads on eight of the flips Based on Dave's results what is the experimental probability of th

Elodia [21]

Four tenths, .4 or 8/20

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3 years ago

The following conditional statement true. what is the statements converse and is the converse true?

Lera25 [3.4K]

A converse is when we switch the hypothesis and conclusion, so "if a figure is a square then it has four right angles" the converse would be "If a figure has four right angles then it is a square" Which is false because of rectangles, your answer is D.

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3 years ago

A chemist is using 381 milliliters of a solution of acid and water. If 17.4% of the solution is acid, how many milliliters of ac

Romashka-Z-Leto [24]

Answer:

66.3 mL

Step-by-step explanation:

17.4% of 381 mL is ...

0.174 × 381 mL = 66.3 mL

7 0

4 years ago

2. An exam readiness awareness taskforce at a Fremont National university sampled 200 students after the midterm to ask them whe

k0ka [10]

Answer:

c) (40+60+25)/200 or 63%

Step-by-step explanation:

n= 200 students

Did Well on the Midterm and Studied for the Midterm = 75

Did Well on the Midterm and Went Partying = 40

Did Poorly on the Midterm and Studied for the Midterm = 25

Did Poorly on the Midterm and Went Partying = 60

The number of students that did poorly on the midterm or went partying the weekend before the midterm is given by the sum of all students who did poorly to all students who went partying minus the number of students who did Poorly on the Midterm and Went Partying:

$N=(25+60)+(40+60) - 60\\N= 125$

The probability that a randomly selected student did poorly on the midterm or went partying the weekend before the midterm is given by:

$P = \frac{N}{n}=\frac{125}{200} = 0.63 = 63\%$

3 0

3 years ago