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jeka57 [31]
3 years ago
8

Julia owes her dad $12. She wants a new blouse that just went on sale, so she borrows $20 from her sister. She pays her father $

5 and spends the rest on the blouse. Which statement is true?
Mathematics
2 answers:
QveST [7]3 years ago
6 0
12+20, $32 - 5 = $27 for the blouse, assuming she borrowed $20 from her sister for the blouse, you can say that she gained $27.
guajiro [1.7K]3 years ago
4 0
The blouse cost $15 and she was supposed to over Dad $12 so she has to work for $7
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Solve |x – 4| + 6 = 17.
const2013 [10]

Answer:

\mathrm{C)\:}x=15,\:-7

Step-by-step explanation:

For |a-b|=c, there are two possible cases:

\begin{cases}a-b=c\\a-b=-c\\\end{cases}

Solving for both cases, we get:

\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}

6 0
3 years ago
What’s the correct answer?
nikdorinn [45]

Answer:

the triangle above is an isoceles triangle

therefore the base angles are equal

So we have:

X + X + 38= 180

2x = 180-38

2x = 142

X = 71°

6 0
2 years ago
Read 2 more answers
Annie spent $20.02 at the post office. She bought 2 times as many 32-cent stamps as 13-cent stamps. How many of each did she buy
ivolga24 [154]

Answer:

52 32- cent stamps and 26 13-cent stamps

Step-by-step explanation:

Let x be the 32-cent stamps and y be the 13-cent stamps then...

x=2y

32x+13y=2002 (note that $20.02 is 2002 cents)

We can solve using substitution (substitute 2y for x)

32(2y)+13y=2002

64y+13y=2002

77y=2002

y=26

x=2(26)

x=52

She bought 52 32-cent stamps and 26 13-cent stamps.

8 0
2 years ago
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
The number of pepperoni slices that kim puts on a pizza varies directly as the square of the diameter of the pizza. If she puts
seropon [69]
You can make this into a fraction, and then simplify it.

15/10, right?

15/10 = 3/2

Then compare 3/2 to the rest of the equation

3/2 = x/16

2 * 8 = 16
so
3 * 8 = x
x = 24

Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.
6 0
3 years ago
Read 2 more answers
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