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aliya0001 [1]
3 years ago
7

Betty has 741 coins in her piggy bank, worth a total of 10,725 cents. The piggy bank only contains quarters and dimes. How many

dimes does Betty have?
Mathematics
1 answer:
quester [9]3 years ago
6 0
Let quarters = q and
Dimes = d

We have 741 coins total so q + d = 741

Since quarters are 25 cents and Dimes are 10 cents then

25q + 10d = 10725 cents

Now we have 2 equations that we can solve using addition or substitution.

Using addition, first multiply the first equation by -10

-10 (q+d) = 741 (-10)
-10q - 10d = -7410

Now add the equations together

(-10q -10d = -7410)
+ (25q + 10d =10725)
________________
15q = 3315
q = 3315 / 15
q = 221
this is the number of quarters

Now plug this back into the original equation

q + d = 741
221 + d = 741
d = 741 - 221
d = 520

There are 520 dimes

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Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income
zvonat [6]

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

<h3>What is the amount withheld?</h3>

The amount withheld is a credit against the income taxes the employee must pay during the year.

The amount withheld from his paycheck for income tax in all is given by;

Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)

Where:

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Percentage of federal income tax=23%

Substitute all the values in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Learn more about income tax here:

brainly.com/question/25641320

6 0
2 years ago
1. A jeepney driver claims that his average monthly income is Php 3000.00 with a standard deviation of Php 300.00. A sample of 3
nydimaria [60]

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ = 3000

H0 : μ ≠ 3000

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 3500

μ = 3000

σ = 300

n = 30

(3500 - 3000) ÷ (350/√(30))

Test statistic = 7.824

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Lesson Posttes
joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

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