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Alina [70]
2 years ago
14

only number 4, and please include the working. also do it with the substitution method not elimination or any other.​

Mathematics
1 answer:
sergiy2304 [10]2 years ago
6 0

Answer:

x = -2 and y = 1

Step-by-step explanation:

→ Rearrange x - y = -3 to make y the subject

-y = - x - 3 so y = x + 3

→ Substitute into 2x + y = -3

2x + x + 3 = -3

→ Simplify

3x + 3 = -3

→ Minus 3 from both sides

3x = -6

→ Divide both sides by 3

x = -2

→ Substitute x value into first equation

-4 + y = -3

→ Add -4 to both sides

y = 1

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In two hours Holden completed 3/4 of his race how long will it take Holden to complete the entire race?
vivado [14]

Answer:

\frac{1}{4} = 50 Minutes

Whole Race Time : 2 Hour and 50 Minutes

Step-by-step explanation:

so 2 Hour = \frac{3}{4} Race completed

we need to find what 1/4 Race = x Hours

so 200 divided by 4 because \frac{3}{4} Race is done.

we need to find how long to finish the whole race also known as \frac{4}{4}.

200 divided by 4 = 50

so Holden still need 50 Minutes to finish the race.

8 0
2 years ago
PLease help i think it is c
Zanzabum

Answer:

a, b and c

Step-by-step explanation:

in my opinion, I think its a, b and c...

7 0
2 years ago
Please help!! Write in simplest radical form: √7/8 Show how you figured it out
12345 [234]

Given expression: \sqrt{\frac{7}{8}}.

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

=\frac{\sqrt{7}}{\sqrt{8}}

\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}

\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}

=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}

=\frac{\sqrt{14}}{4}

=\frac{\sqrt{14}}{4}.

3 0
3 years ago
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste
Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0
2 years ago
Complete the equation of the line through (−8,8), and (1,-10 ). Use exact numbers. Help me please my dog just died and I want to
katrin2010 [14]

Answer: (Mayadc821 wrote this anwser check theyre account for more)

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

-10 = m(1) + b

m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b

8 = -8m + (-10 - m)

8 = -9m -10

18 = -9m

m = -2

Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m

b = -10 -(-2)

b = -10 + 2

b = -8

Our final equation is y = -2x - 8

6 0
3 years ago
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