Answer:
x = -3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+2(3x−7))=22x−65
Step 1: Simplify both sides of the equation.
4(x+2(3x−7))=22x−65
(4)(x)+(4)(2(3x−7))=22x+−65(Distribute)
4x+24x+−56=22x+−65
(4x+24x)+(−56)=22x−65(Combine Like Terms)
28x+−56=22x−65
28x−56=22x−65
Step 2: Subtract 22x from both sides.
28x−56−22x=22x−65−22x
6x−56=−65
Step 3: Add 56 to both sides.
6x−56+56=−65+56
6x=−9
Step 4: Divide both sides by 6.
6x = -9
6 6
x = -3/2
Answer:
Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left
Step-by-step explanation:
we have

Divide the compound inequality into two inequalities
-----> inequality A
Multiply by -1 both sides

Divide by 5 both sides

The solution of inequality A is the interval ----> (-∞,10]
All real numbers less than or equal to 10
-----> inequality B


Multiply by -1 both sides

Divide by 5 both sides

Rewrite

The solution of the inequality B is the interval ----> (4,∞)
All real numbers greater than 4
The solution of the compound inequality is
(-∞,10] ∩ (4,∞)= (4,10]
All real numbers greater than 4 and less than or equal to 10
A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left
Answer:
18
Step-by-step explanation:
you times it
Let's translate each sentence into "Math".
Pineapple = p
Orange = x
is means equal
Pineapple is 7 times as heavy as an orange: p = 7x
Pineapple weighs 870 grams more than orange. p = 870 + x
Substitute p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
divide by 6
x = 145
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
Answer:
3,125 i think sorry if this is incorrect....
Step-by-step explanation:
Answer:
P = $ 3,125.00
Equation:
P = I / rt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year,
then, solving our equation
P = 500 / ( 0.08 × 2 ) = 3125
P = $ 3,125.00
The principal required to
accumulate interest of $ 500.00
on a rate of 8% per year for 2 years is $ 3,125.00.