A garden table and a bench cost $ 1045 combined. The garden table costs $95 more than the bench. What is the cost of the bench?

Answer:

[tex]s = 1[/tex]

Step-by-step explanation:

Given

[tex]s - \frac{1}{2} = \frac{1}{2}[/tex]

Required

Solve for s

[tex]s - \frac{1}{2} = \frac{1}{2}[/tex]

Add [tex]\frac{1}{2}[/tex] to both sides

[tex]s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}[/tex]

Take LCM

[tex]s + \frac{-1+1}{2} = \frac{1+1}{2}[/tex]

[tex]s + \frac{0}{2} = \frac{2}{2}[/tex]

[tex]s +0 = 1[/tex]

[tex]s = 1[/tex]

Answer:

5

Step-by-step explanation:

Given:

[tex]4x-6=14[/tex]

Add both sides by 6:

[tex]4x-6=14[/tex]

    [tex]+6=+6[/tex]

[tex]4x=20[/tex]

Divide by 4:

[tex]\frac{4x}{4} =\frac{20}{4}[/tex]

Solve for x

[tex]x=5[/tex]

The value of x in the equation is 5.

Given is an equation 4x - 6 = 14, we need to find the value of x,

To find the value of x in the equation 4x - 6 = 14, we can follow these steps:

Add 6 to both sides of the equation to isolate the term with x:

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 20/4

x = 5

Therefore, the value of x in the equation 4x - 6 = 14 is 5.

Learn more about equation click;

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Answer:

a) [tex]x=2p-4[/tex]

b) our team scored 44 points

Step-by-step explanation:

Your basketball team scored 4 fewer than twice as many points p as the other team.

a) Write algebraic expression

Let x is your basketball team score, the expression will be:

[tex]x=2p-4[/tex]

b) The other team scored 24 points. How many points did your team score?

p=24

we need to find x

[tex]x=2p-4\\Put \ p=24\\x=2(24)-4\\x=48-4\\x=44[/tex]

So, our team scored 44 points

Answer:

No,

Step-by-step explanation:

No, GCF is not a root, it is the coefficient of x.

Answer:

3. a. 10:35= 2:7

b.35:45=7:9

c.40:50=4:5

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

Answer:

the first option

Step-by-step explanation:

the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept

Answer:

f(6)=2

f(2)=4

f(0)=7

f(5)=1.5

f(x)=1 x=4

Step-by-step explanation:

f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.

Answer:

5

Step-by-step explanation:

cuz 12 +16 is 28, 140÷28 is 5

Answer:

16h + 12 = 140

Step-by-step explanation:

She can ride the bike for 8 hours.

Answer:

32

Step-by-step explanation:

its just 50 minus 18 and dont forget to borrow

Answer:

32mph

Step-by-step explanation:

So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph

So in conclusion the giraffe can run 32mph if a lion is running at 50mph

Answer:

Can you import the progress report picture please

Step-by-step explanation:

So we can solve it

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

Answer:

419,920 is the new value when it's increased by sixteen percent

Answer:

There would be 42 girls and 18 boys.

Step-by-step explanation:

Multiply7 by 6 since 7 + 3 is 10 x 6 = 60.

Answer:

18, 14, 20

Step-by-step explanation:

Answer:

I got A 18,14, and 20

Step-by-step explanation:

PLZ CORRECT ME IF I AM WRONG PLZ AND THANK YOU

Answer:

a b

Step-by-step explanation:

Answer:

The answer is "0.9217".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\mu = 218.4 \\\\ \sigma = 25\\\\\bar{x}= 224 \\\\ n = 40 \\\\[/tex]

[tex]z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\\[/tex]

[tex]= \frac{224 - 218.4}{\frac{25}{\sqrt{40}}} \\\\= 1.4167\\\\\to P( \bar{x}< 224) = P(z< 1.4167) = 0.9217[/tex]

Answer:

Carly is wrong. The correct answer is 4:3

Step-by-step explanation:

40/10=4

30/10=3

Answer:

Carlie is wrong

Step-by-step explanation:

The correct answer is 4:3

12 ft maybe? i dunno im sorry if this is wrong

Options:

H0 :

H0 : µ =12

H0 > 12> H1

None of these

Answer:

None of these

Step-by-step explanation:

The answer is

H0 : µ ≧ 12

Ha : µ<12

We formulate the null and alternative hypothesis here to state that battery life of the laptop lasts at least 12 hours(more than but not less, null hypothesis) or that it lasts less than 12 hours(alternative hypothesis).

The null hypothesis is the one being tested to know whether we would reject it or not in which case we choose the alternative hypothesis. To test the hypotheses, we do a t test using a significance level of say 0.05(95% confidence interval) and find our p value in order to compare and decide if the null hypothesis would be rejected or not based on statistical significance.

Answer:

(-2,10)

(-1,7)

(0,4)

(1,1)

(2,-2)

(3,-5)

Step-by-step explanation:

Answer:

your anwer is x=-1/3y+4/3

Step-by-step explanation:

Answer:

2/5 I think I'm not sure tho :/

Answer:

Slope is -1/2 this is the answer 1 down and 2 across.

Step-by-step explanation:

Can I have brainiest

Answer:

£196

Step-by-step explanation:

1) 180/24=7.5

2) 40-24=16

3) 180+16=196

so he has to pay £196

Answer:

D 7a - 11b

Step-by-step explanation:

9a- b -2a - 10b

7a - b -10b

7a - 11b

Answer:

I believe the correct answer is D.

Step-by-step explanation:

Answer:

The answer to this question is 49＋2m.

Answer:

49 + 2m

Explanation:

49 is being Increased by so you would be adding a certain ammount to 49

Answer:

Square root 112 Units.

Step-by-step explanation:

See the image attached for the work.