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Neporo4naja [7]
2 years ago
11

Evaluate the expression when a= 4, b= - 2, and c= 7 - -> 5a - 9 (b - c)

Mathematics
1 answer:
ollegr [7]2 years ago
8 0

Answer:

65

Step-by-step explanation:

Given the following question:

5a-9(b-c)
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

5\times4-9\times(2-7)
2-7=-5
5\times4-9\times-5
5\times4=20
20-9\times-5
9\times-5=-45
20--45
20+45=65
=65

Hope this helps.

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What is the slant height for the given pyramid to the nearest whole unit height
charle [14.2K]

Answer:

Step-by-step explanation:

The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.

base of right triangle = 6 cm

height of right triangle = 8 cm

hypotenuse = √(6²+8²) = √100 = 10 cm

7 0
2 years ago
What is the measure of ZXYZ in the diagram below?
MaRussiya [10]
116 + 38 = 78
78 / 2 = 39
The Answer: 39
3 0
2 years ago
What is the factor of 25a2+b2?
Neko [114]

Answer:

(5a+b)⋅(5a−b)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 52a2 -  b2

STEP

2

:

Trying to factor as a Difference of Squares

2.1      Factoring:  25a2-b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (5a + b)  •  (5a - b)

7 0
3 years ago
PLEASE HELP
Rudik [331]
y=75\ \ \ \ x=5\\\\
y=?\ \ \ \ \ x=3\\\\
proportion:\\
\frac{75}{y}=\frac{5}{3}\ \ \ | cross\ multiplication\\\\
75*3=5y\\\\
225=5y\ \ \ | divide\ by\ 5\\\\
y=45

5 0
3 years ago
A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

q is the probability of failure q=1-p, q=1-\frac{2}{7}=\frac{5}{7}

n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}

P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

5 0
3 years ago
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