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What is the opposite reciprocal of 2/3?

Gekata [30.6K]

Answer:

$\frac{3}{2}$ if you're asking for the reciprocal.

$\frac{2}{3}$ if you're asking the opposite of a reciprocal.

Step-by-step explanation:

The reciprocal is the number flipped or in this case $\frac{3}{2}$

6 0

3 years ago

Read 2 more answers

Ten times the sum of half a number and 6 is 8

nexus9112 [7]

Let the required number is 2x ,

According to the condition,

➡ 10 times the sum of half of 2x and 6 = 8

$= > 10 \times ( \frac{2x}{2} + 6) = 8 \\ \\ \\ = > 10 \times (x + 6) = 8 \\ \\ \\ = > 10x + 60 = 8 \\ \\ \\ = > 10x = 8 - 60 \\ \\ \\ = > 10x = - 52 \\ \\ \\ = > x = - \frac{ 52}{10} \\ \\ \\ = > x = - 5.2$

Therefore the value of x is -5.2

And, required number is -5.2

3 0

3 years ago

a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas

My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = $\frac{y}{20}$ ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = $\frac{x}{20}$ ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

$z^{2}$ = $y^{2}$ + $(40+x)^{2}$

= $14.14^{2}$ + $(40+14.14)^{2}$

= 3131.08

$z^{2}$ = $\sqrt{3131.08}$

z = 55.96 miles

6 0

4 years ago

Caleb borrowed $1500 from his aunt. He plans to pay his aunt back in 9 months. If he

sergeinik [125]

Answer:

A = $1,545.00

(I = A - P = $45.00)

Equation:

A = P(1 + rt)

Explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Putting time into years for simplicity,

9 months / 12 months/year = 0.75 years.

Solving our equation:

A = 1500(1 + (0.04 × 0.75)) = 1545

A = $1,545.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 4% per year for 0.75 years (9 months) is $1,545.00.

4 0

3 years ago

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$