There are 12 people on the jury. There are 4 more men than women. How many men were there

Answers

Answer 1

Answer: In order to solve this problem you need to set up an equation.

12 = x + (x + 4)

x will represent the number of women, and (x+4) will represent the number of men, because there are 4 more men than women.

12 = x + x + 4
12 = 2x + 4
8 = 2x
x = 4

This is the answer to how many women there are, but your question is asking for the number of MEN, so we have to go one more step farther. Like stated before, the expression for the number of men is shown like so: (x +4). Now we just need to plug in the number for x.

(x+4)
4+4
8

There were 8 men on the jury.

Answer 2

Answer: There are 8 men.

Because there are only 12 people, 12 – 4 = 8. 8 is 4 more than 4.

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Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 80 in² 135 in² 160 in²

Answers

Answer:

Option 1st is correct

area of a triangle is, 80 in²

Step-by-step explanation:

Area of triangle(A) is given by:

$A = (1)/(2) b \cdot h$

where,

b is the base

h is the height or altitude of the triangle respectively.

As per the statement:

Base of a triangle(b) = 10 inches and

Height = altitude(h) = 16 inches

Substitute these in [1] we get:

$A = (1)/(2)(10) \cdot 16$

⇒ $A = 5 \cdot 16 = 80$ in²

Therefore, the area of a triangle is, 80 in²

10 × 16 = 160
160 / 2 = 80

Your answer would be 80in²

Hope that helps!

The answer to the problem 5 x (4 + 1) is called a _____.A) sum
B) difference
C) product
D) quotient

Answers

The answer to the problem 5 x (4 + 1) is called a C) product.

Given is an expression 5 x (4+1), we need to tell which mathematical operation dose it shows.

In mathematics, the term "product" refers to the result obtained when two or more numbers are multiplied together.

In this case, the numbers involved are 5 and (4 + 1). The expression (4 + 1) is first evaluated inside the parentheses, which results in 5.

Then, the multiplication is performed: 5 x 5 = 25.

So, the correct answer is C) product.

Learn more about multiplication click;

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Remember in PEMDAS (P = Parenthesis, E = Exponent, M = Multiplication, D=Division, A= Addition, S= Subtraction), you always do the Parenthesis or Brackets first. So your equation will become 5 x 5 in the end. Therefore the answer is "C) product".

Please help me out!!!!!!

Answers

9/6 = 3/2

24/16 = 3/2

21/14 = 32

So the triangles are similar by SSS

How can you tell when a quadratic equation has no real solutions? . . A. when the radicand is negative. B. when b in the quadratic formula is greater than the radicand. C. when the radicand equals zero. D. when the radicand is not a perfect square

Answers

The nature of the roots of a quadratic equation may be readily determined through the use of its discriminant,
D = sqrt (b² - 4ac)
We can tell if the quadratic equation does not have a real root it the radicand is negative. Therefore, the answer is letter A.

The answer is option A.

The grocery store sells kumquat for $4.50 a pound and Asian pears for $3.75 a pound write an equation in standard form for the weight of kumquat k and Asian pears p that a customer could buy with $16

Answers

Answer:

let k represents the kumquat weight(in pound) and p represents the Asian pears weight respectively.

As per the given conditions,

The grocery store sells kumquat for $ 4.50 a pound

⇒ for 1 pound $\rightarrow$ $4.50

then, in k pound = $4.50 k$

similarly,

The Asian pears for $3.75 a pound

⇒ for 1 pound $\rightarrow$ $3.75

then, in p pound = $3.75 k$

Standard form of the equation is in the form of Ax + By = C:

The weight of kumquat k and Asian pears p that customer could buy with $ 16,

then the standard form of equation is: 4.50k +3.75p = 16

1 pound kumquat = 4.50
1 pound pear = 3.75
4.50k + 3.75p = 16

2.15 as an equivalent mixed number

Answers

Answer:

43/20 = 2 3/20

Answer:

2 3/20

Step-by-step explanation:

First you would write 2.15/1 ; Next, multiply both the bottom and the top by 100 because of the decimal placement. This gives you 215/100. Find the GCF (which is 5) and divide. This leaves you with 43/20, and when simplified, gives you 2 as the whole number and 3/20.

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tyler wants to use $300 he has saved to buy a new guitar and join a music club. the guitar costs $140. the music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. tyler can afford the music club membership for ____ months, after which he will have ____ left.