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Elodia [21]
3 years ago
12

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to the number o

f quarters,q, and the number of dimes,d, she has shown
Mathematics
1 answer:
Luden [163]3 years ago
7 0
<span>q + d=19 0.25q + 0.1d=4 
</span><span> (d) -0.1(q + d=19) 0.25q + 0.1d=4 Opposites cancel -0.1q -0.1 d=1.9 0.25q + 0.1d=4</span>
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(01.01 MC)Which number line shows the solution to 4 + (−4)?
Rasek [7]

The solution to the statement 4 + (-4) is correctly given by the third number line.

  • The solution given by plot 1 is : (-4) + (-4) as both arrows points 4 units to the left.

  • The solution given by plot 2 is : ( 4 + 4) as both arrows points 4 units to the right.

  • The solution given by plot 3 is (4) + (-4) as one arrow points 4 units to the left and the other points 4 units to the right.

  • The solution given by the plot 4 is (-4 + 8) as one arrow points 4 units to the left and the other points 8 units to the right.

Therefore, the Number line which shows the solution 4 + (-4) is the third number line.

Learn more :brainly.com/question/16191404

6 0
3 years ago
Which of the following,is a factor of 3x^2-9x^2+3x
Savatey [412]

Answer:

-3x(x-1)

Step-by-step explanation:

-6x^2 +3x

-3x(x-1)

Hope this helps!

If you think i helped, please mark brainliest! Would really appreciate!

5 0
3 years ago
Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation from bottle to bottle because
marshall27 [118]

Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

Step-by-step explanation:

From data and excel (or any statistics calculator) we get:

X = 249,6 ml         and       s  1,26 ml

Sample mean and sample standard deviation respectively.

Population mean  μ₀  = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis       H₀    X = μ₀

Alternative Hypothesis                                 Hₐ     X ≠ μ₀

We also know that sample size is 8  therefore df  =  8 - 1   df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n)   ⇒   249,6 ±  2,365 * ( 1,26/√8 )

 249,6 ±  2,365 * (1,26/2,83)  ⇒ 249,6 ±  2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being  fill withing the spec. We accept H₀

7 0
3 years ago
Ali has put his coins into 7 stacks. Each stack has the same number of coins. There are 70 coins total. How many coins are in ea
Nana76 [90]
10 coins wooooshgabanayafcsbs
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I’ll give the crown <br><br> Which triangle’s unknown side length measure 53 units
Dmitrij [34]
The orange (second) one. Using Pythagorean theorem the side is sqrt(100-47) which is sqrt(53)
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