If the perimeter of the triangle is 60, what is the value of y?

Answer:

y = 70x

Step-by-step explanation:

Note that d = rt where d is the distance, r is the rate/speed, and t is the time. Since we are given that the variable x is the time, 70mph is the speed, and the variable y is the distance, we can substitute these into d = rt, which we get y = 70x.

I hope this helps! :)

Answer:

x = -9

Step-by-step explanation:

Applying midsegment theorem, we would have the following:

CB = ½(RT)

CB = x + 19

RT = x + 29

Plug in the values

x + 19 = ½(x + 29)

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

-60

Step-by-step explanation:

5(-1 times 2 -7 -3) = 60

The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Important information:

Substitute [tex]x=-1,y=-3[/tex] in the given expression.

[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]

[tex]5((-1)^2-7+(-3))=5(-9)[/tex]

[tex]5((-1)^2-7+(-3))=-45[/tex]

Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

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Answer:

a- $37.50

b- $39.75

Step-by-step explanation:

Hope this helped!

Answer:

a) 37.5

b) 39.75

Step-by-step explanation:

a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5

b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75

Answer:

-10/3 or -3 and 1/3

Step-by-step explanation:

you can do y1-y2 over x1-x2 of two points

or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3

but its negative slope cause your going back 3 to the left

Answer:

$71.44

Step-by-step explanation:

Answer:

54 kg

Step-by-step explanation:

x - regular boy

y - special boy who's weight we're counting

The mean mass of 5 boys:

(4x+y)÷5=62

The mean mass of 4 boys:

4x÷4=64

x=64kg

the mass of y boy:

(4×64+y)÷5=62

(256+y)÷5=62 |×5

256+y=310

y=310-256

y=54

Answer:

x=12

Step-by-step explanation:

Im not sure which measure you're talking about, but I'll show you what I did here:

A triangle = 180 degrees.

4x + 8x + 4x =16x

-8 - 1 - 3 = -12

180 = 16x - 12        -Add 12 to both sides

192 = 16x               -divide by 16 to get x by itself

12 = x

Angle A = 88 degrees (8 times 12 then subtract 8)

Angle B = 47 degrees (4 times 12 then subtract 1)

Angle C = 45 degrees (4 times 12 then subtract 3)

Answer:

0.75

Step-by-step explanation:

The missing quantity is 100 books in the double number line.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

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Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]

Answer:

x=6

Step-by-step explanation:

work is shown in picture

Answer:

2.333 repeating

Step-by-step explanation:

you divide 2 by 6 (srry i neede more characters)

you can do the repeat symbol by placing a slash over top of the 3rd 3

Step-by-step explanation:

Radius of the conical part = radius of cylindrical part r=

2

3

m

Slant height of the cone l=2.8 m

Height of the cylinder, h=2.1 m

Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.

Curved surface area of conical part = πrl=

7

22

×

2

3

×2.8=13.2

Curved surface area of cylindrical part =2πrh=2×

7

22

×

2

3

×2.1=19.8

Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part

=13.2+19.8=33 m

2

Cost of 1 m

2

canvas = Rs. 500

Cost of 33 m

2

canvas =33×500=16500

Therefore, it will cost Rs. 16500 for making such a tent.

Answer:

-0.45, 2/5, 54%

Step-by-step explanation:

54%=54/100

=87/50

2/5=20/50

-0.45 must be the smallest as it is negative

I have attached an image of the complete question.

Answer:

Options A & F are correct

Step-by-step explanation:

From the image attached, we have the following recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

Wednesday: 3° F

Thursday: 5° F

Option A is correct because the temperature on Monday and Tuesday is negative and thus below zero.

Option B is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively

Option C is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures

Option D is not correct because the lowest temperature below zero is on Monday and not Thursday

Option E is not correct because the temperature on Wednesday and Thursday are positive and not below zero.

Option F is correct because Monday had a temperature of -5° F which is the lowest gotten below zero

The temperature on Monday and Tuesday is negative and thus below zero.

The temperature on Monday had a temperature -5F which is the lowest value below zero.

Given,

Jane recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

 Wednesday: 3° F

 Thursday: 5° F

According to the question,

Compare the temperature from the given value of the temperature.

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Answer:

area es 48 cm

el perimetro es 144cm

Step-by-step explanation:

Answer:

The answer is "0.36".

Step-by-step explanation:

we assume, that they are not blood-relatives, then we need both the dates (birth and death)

Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.

Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])

Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]

S Year of birth'

After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.

Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):

[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]

For just a mathematician, are using the same rationale 2.

By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):

[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Answer:

Is Something supposed to be attached?

Step-by-step explanation:

Answer: x ≥ 17

Step-by-step explanation:

We know that she worked 7 hours at a dinner, for $10 per hour last week.

Then in the last week, she did make:

7*$10 = $70

Now she babysits, she wins $8 per hour, then if she works x hours, she will win:

w(x) = $8*x

if we add the $70 that she already had, we have:

$70 + $8*x

And we know that she wants to have, at least, $206, then we can write the inequality.

$70 + $8*x ≥ $206.

Now let's solve this for x.

first, we can subtract $70 in both sides:

($70 + $8*x) - $70 ≥ $206 - $70

$8*x ≥ $136

now we can divide by $8 in both sides:

($8*x)/$8 ≥ $136/$8

x ≥ 17

This means that she must babysit for at least 17 hours if she wants to buy the dress.

Answer: n = 267

Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.

It can be calculated as

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

in which

z is z-score related to the confidence interval, which is this case is 1.96;

s is standard deviation;

n is the number in a sample;

So, the number of mice must be:

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]

[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]

[tex]\sqrt{n}=16.33[/tex]

n = 267

For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.

The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:

[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]

where z is the z-score, s is the standard deviation, and n is the sample size.

Now, substitute the known values in the above formula.

[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]

Simplify the above expression in order to determine the value of 'n'.

[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]

n = 267

Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.

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Answer:

dumyemimynumifgmfdhum

Answer:

a=-10

Step-by-step explanation:

y=2x+a ,at x=5

y=2(5)+a

y=10+a

where y=0

10+a=0

a= -10

Answer:118

Step-by-step explanation:

Trust me

In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the measure of angle ∠M, we need to use the law of cosines, which states that:

c² = a² + b² - 2ab cos(C)

To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:

m²= n² + o² - 2no cos(∠M)

Substituting the given values, we get:

89² = 30² + 71² - 2(30)(71) cos(∠M)

Simplifying and solving for cos(∠M), we get:

cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))

cos(∠M) = -0.4402

To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:

∠M = 118.7 degrees

Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

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Answer:

-3 1/3

Step-by-step explanation: