All categories

3 years ago

Solve for x. 24 = − 3 8 x A) −56 B) −64 C) −72 D) −84

Mathematics

2 answers:

Crank3 years ago

5 0

B -64

I got -6.4 which means its most likely -64

d1i1m1o1n [39]3 years ago

4 0

Answer:

−64

Step-by-step explanation:

24 = −

192 = −3x

64 = −x

−64 = x

x = −64

You might be interested in

A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?

Westkost [7]

Answer:Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

6 0

2 years ago

Use the distributive property to express 15+45

Nuetrik [128]

Answer:
15(1+3)

Explanation:
The distributive property can be generally expressed as follows:
ab + ac = a(b+c)

The given expression is:
15 + 45

We know that:
15 = 1*15
45 = 3*15

Therefore, the given expression can be written as:
1*15 + 3*15

Taking 15 as a common factor and applying the above rule, we will reach the following expression:
15(1+3)

Hope this helps :)

5 0

3 years ago

Need help simplifying this

diamong [38]

The simplified answer is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$ .

Step-by-step explanation:

$$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term $(\frac{3x+y}{3x+y})$ and 2nd term by $(\frac{z+2x}{z+2x})$

= $\frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= $\frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}$

Now, the denominators are same, you can subtract it.

= $\frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

= $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

Thus the simplified solution is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

4 0

3 years ago

The sum of three consecutive odd numbers in 177. What is the largest of the three numbers?

Vikentia [17]

Answer:

1st odd = 57

2nd odd = 59

3rd odd = 61

Step-by-step explanation:

Suppose the numbers to be:

1st odd = x -2

2nd odd = x

3rd odd = x +2

Now according to given conditions:

1st odd + 2nd odd + 3rd odd = 177

x - 2 + x +x + 2 = 177

By add -2 and + 2 will be cancelled

Adding all x

3x = 177

Dividing both sides by 3 we get

x = 177 / 3

x = 59

Now putting x = 59 to get three consecutive odds:

1st odd = x -2 = 59 - 2 = 57

2nd odd = x = 59

3rd odd = x +2 = 59 + 2 = 61

Proof:

1st odd + 2nd odd + 3rd odd = 177

57 + 59 + 61 = 177

177 = 177

hence proved

I hope it will help you!

6 0

2 years ago

Read 2 more answers

Suppose that the water level of a river is 34 feet and that it is receding at a rate of her foot per day right in equation and h

Ghella [55]

Answer: it will take 9 days

Step-by-step explanation:

The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as

Tn = a+(n-1)d

Where

a is the first term if the sequence

d is the common difference

n is the number of terms.

From the information given,

a = 34 feet because it is the initial height

n is the number of days it will take to get to 26 ft

d = -1 because it is decreasing by 1 foot per day.

Tn = T26 = 26 feet. Therefore, the equation will be

Tn = 34 -1(n-1)

To find for T26,

26= 34 + (n - 1)-1

26 - 34 = -n + 1

n - 1 = 8

n = 8 + 1 = 9

8 0

2 years ago