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Naya [18.7K]
3 years ago
7

What is the value of the expression?

Mathematics
1 answer:
serious [3.7K]3 years ago
7 0
B. -10.6

5 + (-11.3) Is the same thing as 5 - 11.3, which equals -6.3
-6.3 + (-4.3) = -10.6

Hope I helped!
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What is 49% of $201.13
Nookie1986 [14]

Answer:

98.5537

Step-by-step explanation:


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Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. Suppose there are twice as many student tickets sol
nikitadnepr [17]

Answer: the number of adult tickets sold is 400

the number of student tickets sold is 200

Step-by-step explanation:

Let x represent the number of adult tickets sold at the play.

Let y represent the number of student tickets sold at the play.

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $1,700, it means that

1.75x + 1.25y = 1700 - - - - - - - - - -1

Suppose there are twice as many student tickets sold as adult tickets. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

1.75x + 1.25 × 2x = 1700= 1700

1.75y + 2.5y = 1700

4.25y = 1700

y = 1700/4.25 = 400

x = y/2 = 400/2 = 200

8 0
3 years ago
Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.
VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0
3 years ago
Read 2 more answers
A hotel is in the shape of a​ cylinder, with a circular foundation. the circumference of the foundation is 4 times the​ radius,
Marat540 [252]
Let
C-------> the length of a circumference

C=2*pi*r-----> equation 1

we know that
in this problem-----> <span>the circumference of the foundation is 4 times the​ radius, increased by 114 ft
</span>so
C=4*r+114------> equation 2
(1)=(2)
2*pi*r=4*r+114------> 2*pi*r-4*r=114-----> r*[2*pi-4]=114---> r=114/[2*pi-4]
r=114/[2*pi-4]-----> 50 ft

the answer is
r=50 ft

3 0
3 years ago
Find the logarithm of 10​
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It is one

step by step explanation:
calculator
5 0
2 years ago
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