A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.

A valuable asset pledged to a lender as security for a loan is called:

irina [24]

B. Collateral
is the answer

5 0

3 years ago

The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7

il63 [147K]

Answer:

x ≤ 3764.72

Step-by-step expl anation:

The Montanez family cannot use more than 7250.50 gallons, this means that they can use less than or equal to 7250.50 gallons, this tells you which sign to use. The variable x can be used to describe how much water they have left to use and then you add 3,485.78 gallons to x.

x + 3485.78 ≤ 7250.50 This inequality means that the amount of water the family has yet to use added to 3485.78 gallons cannot exceed 7250.50 gallons.

Next, you simplify the inequality using the property of inequalities.

x ≤ 7250.50 - 3485.78

x ≤ 3764.72

5 0

4 years ago

Two customers went to a post office. First customer paid $12 for 14 and 5 envelopes the second paid 24.80 for 10 postcards and 1

lidiya [134]

Answer:

Each envelope is $1.42

Step-by-step explanation:

Let, the cost of postcards = x and the cost of envelopes = y, in dollars.

It is given that,

First customer paid $12 for 14 postcards and 5 envelopes.

This gives, 14x + 5y = 12.

Second customer paid $24.8 for 10 postcards and 15 envelopes.

This gives, 10x + 15y = 24.8

We get the system of equations,

14x + 5y = 12

10x + 15y = 24.8

We multiply 1st equation by 3. This gives us the equations,

42x + 15y = 36

10x + 15y = 24.8

Subtracting both equations, we get,

32x = 11.2

i.e. $x=\frac{11.2}{32}$

i.e. x = 0.35

Which gives,

10 × 0.35 + 15y = 24.8

i.e. 15y = 24.8 - 3.5

i.e. 15y = 21.3

i.e. $y=\frac{21.3}{15}$

i.e. y = 1.42

Hence, the cost of each postcard is $0.35 and each envelope is $1.42.

3 0

3 years ago

Select all expressions that represent a correct solution to the equation 6(x+4)=20. copied for free from openupresources.Org Sel

baherus [9]

Option D: $20 \div 6-4$ is the correct solution to the equation $6(x+4)=20$

Option E: $\frac{1}{6} (20-24)$ is the correct solution to the equation $6(x+4)=20$

Option F: $(20-24) \div 6$ is the correct solution to the equation $6(x+4)=20$

Explanation:

The expression is $6(x+4)=20$

Let us find the value of x.

$\begin{aligned}6(x+4) &=20 \\6 x+24 &=20 \\6 x &=-4 \\x &=-\frac{2}{3}\end{aligned}$

Now, we shall find the expression that is equivalent to the value $x=-\frac{2}{3}$

Option A: $(20-4) \div 6$

Simplifying the expression, we have,

$\frac{16}{6}=\frac{8}{3}$

Since, $\frac{8}{3}$ is not equivalent to $x=-\frac{2}{3}$ , the expression $(20-4) \div 6$ is not equivalent to the equation $6(x+4)=20$

Hence, Option A is not the correct answer.

Option B: $16(20-4)$

Simplifying the expression, we have,

$16(16)=256$

Since, 256 is not equivalent to $x=-\frac{2}{3}$ , the expression $16(20-4)$ is not equivalent to the equation $6(x+4)=20$

Hence, Option B is not the correct answer.

Option C: $20-6-4$

Simplifying the expression, we have,

$20-10=10$

Since, 10 is not equivalent to $x=-\frac{2}{3}$ , the expression $20-6-4$ is not equivalent to the equation $6(x+4)=20$

Hence, Option C is not the correct answer.

Option D: $20 \div 6-4$

Using PEMDAS and simplifying the expression, we have,

$\begin{aligned}(20 \div 6)-4 &=\frac{10}{3}-4 \\ &=\frac{10-12}{3} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $20 \div 6-4$ is equivalent to the equation $6(x+4)=20$

Hence, Option D is the correct answer.

Option E: $\frac{1}{6} (20-24)$

Simplifying the expression, we have,

$\begin{aligned} \frac{1}{6}(20-24) &=\frac{1}{6}(-4) \\ &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $\frac{1}{6} (20-24)$ is equivalent to the equation $6(x+4)=20$

Hence, Option E is the correct answer.

Option F: $(20-24) \div 6$

Simplifying the expression, we have,

$\begin{aligned}(20-24) \div 6 &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $(20-24) \div 6$ is equivalent to the equation $6(x+4)=20$

Hence, Option F is the correct answer.

6 0

3 years ago

Solve for g.<br> g/6 - -53 = 57

Mashcka [7]

Step-by-step explanation:

g/6 - -53 = 57

g/6 + 53 = 57

g/6 = 4

g = 4×6 = 24

5 0

3 years ago