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Levart [38]
3 years ago
14

If Elisa gets an allowance of $35 per week and spends $10 of it on food and drink, $5 on entertainment and $5 on miscellaneous t

hings, how much does she have available to put aside for savings each week?
Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

15$

Step-by-step explanation:

35-10=25$

25-5=20$

20-5=15$

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Trigonometry... hellpp plzzz​
rjkz [21]

Answer:

17.1 degrees

Step-by-step explanation:

This is a tangent question because angle XYZ is adjacent to 13 and opposite of 4. This means that we will have to use opposite/adjacent. This is very simple if you know the formula. Just plug those numbers in to get 4/13 = 0.3076923076923077. However, now we need to find it in degrees. If you have an inverse calculator near you, you would plug it in to get about 17.10, which rounds to 17.1.

8 0
3 years ago
Read 2 more answers
Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.
miv72 [106K]

Answer:

C. (-7x+60)(x+4)

Step-by-step explanation:

Consider the expression -7x^2+32x+240.

First, note that

a=-7\\ \\b=32\\ \\c=240

Find the discriminant

D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88

Now,

x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}

Write the factored form:

-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)

8 0
3 years ago
The common ratio of a geometric series is 3 and the sum of the first 8 terms is 3280.
Pavlova-9 [17]

Answer:

The first term of the geometric series is 1

Step-by-step explanation:

In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.

Mathematically, the sum of terms in a geometric series can be calculated as;

S = a(r^n-1)/( r-1)

where a is the first term that we are looking for

r is the common ratio which is 3 according to the question

n is the number of terms which is 8

S is the sum of the number of terms which is 3280 according to the question

Plugging these values, we have

3280 = a(3^8 -1)/(3-1)

3280 = a( 6561-1)/2

3280 = a(6560)/2

3280 = 3280a

a = 3280/3280

a = 1

6 0
3 years ago
Improper fraction for 3 1/14
TEA [102]

Answer: 43/14

Step-by-step explanation: You take you 3 and times it by 14 and + 1 because the equation is saying 14/14 3 times plus the 1/14,

So 3 times 14=42

42+1=43 and then you take the 43 and put it over the 14 so now you have your answer: 43/14

5 0
3 years ago
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1/2 ln(x + 3) - lnx = 0 solve for x
rusak2 [61]
1

 

Simplify \frac{1}{2}\imath n(x+3)​2​​1​​ın(x+3) to \frac{\imath n(x+3)}{2}​2​​ın(x+3)​​

\frac{\imath n(x+3)}{2}-\imath nx=0​2​​ın(x+3)​​−ınx=0


2

 

Add \imath nxınx to both sides

\frac{\imath n(x+3)}{2}=\imath nx​2​​ın(x+3)​​=ınx


3

 

Multiply both sides by 22

\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2


4

 

Regroup terms

\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı


5

 

Cancel \imathı on both sides

n(x+3)=nx\times 2n(x+3)=nx×2


6

 

Divide both sides by nn

x+3=\frac{nx\times 2}{n}x+3=​n​​nx×2​​


7

 

Subtract 33 from both sides

x=\frac{nx\times 2}{n}-3x=​n​​nx×2​​−3


6 0
3 years ago
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