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hammer [34]
1 year ago
15

What is d if

itle="\frac{3d-2}{8} = -d+16\frac{1}{4}" alt="\frac{3d-2}{8} = -d+16\frac{1}{4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Harlamova29_29 [7]1 year ago
8 0

Answer: d=12

Step-by-step explanation:

\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}

Multiply both parts of the equation by 8:

\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\

Divide both parts of the equation by 11:

d=12

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GEOMETRY. PLEASE HELP. I'M STUMPED!!!
tatiyna
Given the triangles ABC and PQR.
Angle A = Angle P
Angle B = Angle Q
Angle C = Angle R

Angle B = 3v+4
Angle Q = 8v-6
Let's find v

3v+4 = 8v-6
-5v = -10
v = 2

Angle B = 3v + 4
Angle B = 3(2) + 4
Angle B = 10.

The correct answer is letter C. 10


8 0
3 years ago
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1
Luden [163]

Answer:

229.5cm^{2}

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 cm^{2}

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = \frac{h * b}{2}

At = \frac{15cm * 13cm}{2}

At = \frac{195cm^{2} }{2}

At = 97.5cm^{2}

Now we simply add both areas together to calculate the total area of the arrow...

132cm^{2} + 97.5cm^{2} = 229.5cm^{2}

6 0
3 years ago
Read 2 more answers
Find the value of x. If​ necessary, write your answer in the simplest radical form.
Paul [167]

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5}

3 0
2 years ago
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Help?????............
GREYUIT [131]
I’m not really for sure...but
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x is negative and y is negative

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5 0
2 years ago
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3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
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