Here's a subtraction problem that has been solved incorrectly.

Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12

Digiron [165]

Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

4 0

2 years ago

It cost you $12 to start up your

brilliants [131]

Step-by-step explanation:

let no. of hours be x.

45x - 12 ≥ 117

45x ≥ 129

x ≥ 2.8667 (5sf)

therefore, 3 hours (round up to next whole number).

Topic: inequalities

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

6 0

3 years ago

Find the integer that makes this subtraction statement true -3 - ? = -5

Elenna [48]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}$

Step-by-step explanation:

Let the missing integer be x

Solve for x

$\sf{ - 3 - x = - 5}$

Move 3 to right hand side and change it's sign

$\dashrightarrow{ \sf{ - x = - 5 + 3}}$

The negative and positive integers are always subtracted but posses the sign of the bigger integer

$\dashrightarrow{ \sf{ - x = - 2}}$

Change the signs of both sides

$\dashrightarrow{ \boxed{ \sf{x = 2}}}$

Hope I helped!

Best regards! :D

7 0

3 years ago

A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36

stepan [7]

Answer:

$13a.\ The \ probability\ of \ scoring\ a\ goal\ in\ a\ game\ is\ 0.36\\\\b. 3 \ games$

14.

$a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860$

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

$Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3$

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

$C_g=0.15\times 600\\\\=\£90$

Hence, the 15% deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

$t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26$

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

$100\%=\frac{540}{0.1}\\\\=\£5400$

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

$=540\times 10\\\\=\£5400$

We subtract the discount amount for the per-discount price:

$Cost=Total -discount\\\\=5400-540\\\\=\£4860$

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

$P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)$

Hence, this is impossible since 0.10<0.35

7 0

3 years ago

a rectangle is a four sided flat shaped where every interior angles is a right angle. Therefore, opposite sides aRE PARALLEL and

Schach [20]

This is true. There is no question connected which is why there are no answers!

5 0

3 years ago