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sertanlavr [38]
3 years ago
9

What is the solution to the system of equations?

Mathematics
2 answers:
Butoxors [25]3 years ago
4 0

Answer:

y=2/3

y=4

x=1

Step-by-step explanation:

y=2/3

y=x+3

x= -2x+3

x+2x=3

3x=3

x=3/3

x=1

jonny [76]3 years ago
4 0

Answer:

(-2, 5/3)

Step-by-step explanation:

Taking the test right now lol i hope i pass

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Marcy wants $205 in her bank account. If she has $85 now and adds $10 per week, how many weeks will it take her to reach her goa
DIA [1.3K]

Answer:

^^1 week and 5 days

Explanation:

If she has $85 now, and gains $10 per week, by the next week and 5 days, she should have her goal of $205. Hope it helps!

5 0
3 years ago
What is 3 times the sixth power of 10
sergey [27]
3000000...........
10^6 =1000000 (3) = 3000000
7 0
2 years ago
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As an estimation we are told 5 miles is 8 km. <br> Convert 27.4 miles to km.
kicyunya [14]

Answer:

43.8 km to the nearest tenth.

Step-by-step explanation:

5 miles is 8 km

so 1 mile = 8/5 km

and 27.4 miles = 27.4 * 8/5

= 43.84 km

7 0
3 years ago
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The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

<u>The final equation is:</u>

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0
3 years ago
Verify the identity. <br><br> sin (x+pi/2)=cos x
hram777 [196]
Given data 
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

<span>sin (x+pi/2)=cos x</span>
4 0
3 years ago
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