Determine the value of x. images attached.

Answer:

The school is 1.5 miles away from Jonathan's home

Step-by-step explanation:

Let D be the distance remaining after 1  mile

We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.

So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance

Speed of Jonathan bike = 15 mph

Speed of Mother's bike = 25 mph

So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]

25D=15D+15

10D=15

D=1.5

So, the school is 1.5 miles away from Jonathan's home

Answer:

positive

Step-by-step explanation:

Answer:

It means it is usually positive

Step-by-step explanation:

The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.

Answer:

6 more teachers are required.

Step-by-step explanation:

Total number of students = 616

No of teachers = 616/28= 22

Increase in students = 18%

                                = 18/100*616= 110.88= 111

Total number of students = 616+111= 727

Decrease in teachers = 9%

                                 = 9/100*22= 1.98= 2

New number of teachers= 20

Now Average is 28 students per teacher so

727/28= 25.96= 26 teachers are required for the total number of 727 students. The school has already 20 teachers so they need 6 more teachers.

B is the answer.............

Answer:

3x2 - x + 10 when x=-4 plug in -4 for x 3(-4)^2 -(-4)+10

3(16)+4+10

3x16= 48

48+4+10= 62

Suzie's work is incorrect because of her negative distributions

Step-by-step explanation:

Answer:

No it's not

Step-by-step explanation:

The reason is because 8/1 becomes a whole number unlike the other.

Answer:

10

Step-by-step explanation:

All other tens values are too far

Answer:

10

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

If bus A arrives after 14 minutes and bus B arrives after 20 minutes, then both buses will arrive at 140 minutes.

Given:

Find the least common multiple of 14 minutes and 20 minutes

14 minutes = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280....

20 minutes = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220.....

Therefore, the least common multiple of 14 minutes and 20 minutes is 140 minutes.

Learn more about LCM:

https://brainly.com/question/10749076

Answer:

the correct answer is 2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Answer:

13x + 5= -12

hope this helps :)

Answer:

It’s it shows that Reece could work around his disadvantages

Step-by-step explanation:

Answer:

the 3 one xD

Step-by-step explanation:

i know i am bulted       D I F F E R E N T   ~(T-T)~

answer:

5.33333333333

Answer:

[tex]x = - 1.[/tex]

Step-by-step explanation:

[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]

♨Rage♨

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{x} = \frac{1}{2} [/tex]

We know that (1/2) can be written as 2^-1. So, it will be;

[tex] {2}^{x} = {2}^{ - 1} [/tex]

Looking on both sides we find that both have same base. So,

x = -1

(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)

Hope it helps...

Answer: it’s C

Step-by-step explanation: I took the test :)

Answer:

C

Step-by-step explanation:

mark the other guy

:)

Answer:

[tex]-0.375[/tex]

For more help, take a look at this chart.

Answer:

x=8, y=0, z=-3

Step-by-step explanation:

Preferable is substitution because there is less room for mistakes but its long so here goes bare with me on this one :D

Name your equations

4x+2y-5z=47 (first eq)

x-2y+6z=-10 (second eq)

9x-7y-z=75 (third eq)

Lets take the easiest eq to isolate one variable lets take 2nd eq

[tex]x-2y+6z=-10\\x=2y-6z-10[/tex]

now this becomes our fourth eq

now again take the easiest eq to isolate another variable lets take the 3rd eq

[tex]9x-7y-z=75\\9x-7y-75=z[/tex]

now this becomes our fifth eq

and now plug in our fifth eq in the fourth eq because we now have z in terms of x and y

[tex]x=2y-6z-10\\x=2y-6(9x-7y-75)-10\\x=2y-54x+42y+450-10\\x+54x=2y+42y+450-10\\55x=44y+440\\\\x=\frac{44y+440}{55}[/tex]

and now we got our sixth equation which is x only in terms of y.

now we plug in our sixth equation in our fifth eq to get z in terms of y only

[tex]z=9x-7y-75\\\\z=9(\frac{44y+440}{55}) -7y-75\\z=\frac{396y+3960}{55} -7y-75\\z=\frac{396y+3960-385y-4125}{55} \\z=\frac{11y-165}{55}[/tex]

now we have our seventh eq and x &z in terms of just one variable y , now we put equation of z and x which is our sixth eq and seventh eq in our first eq.

[tex]4x+2y-5z=47\\\\4(\frac{44y+440}{55})+2y-5(\frac{11y-165}{55}) =47\\\\\frac{176y+1760}{55} +2y-47=\frac{11y-165}{11} \\\\\frac{176y+1760}{55} -\frac{11y-165}{11} -47=-2y\\\\\frac{176y+1760}{55}-(y-15) -47=-2y\\\\\frac{176y+1760}{55} -y-32=-2y\\\\\\frac{176y+1760}{55}=-2y+y+32 \\\\176y+1760=55(-y+32)\\176y+1760=-55y+1760\\176y-55y=1760-1760\\121y=0\\y=0[/tex]

and now finally we got y=0 now we need the value of x and z, put the value of y=0 in our seventh eq (z equation)

[tex]z=\frac{11y-165}{55} \\\\z=\frac{11(0)-165}{55} \\\\z=\frac{-165}{55}\\\\z=-3[/tex]

and now we put the value of y=0 in our sixth eq (x equation)

[tex]x=\frac{44y+440}{55} \\\\x=\frac{44(0)+440}{55} \\\\x=\frac{440}{55} \\\\x=8[/tex]

and now we got all the three values and hence the solution of the system of equation is

x=8, y=0, z=-3

Answer:

504 * 0.12 = 60.48

Step-by-step explanation:

math

Answer:

its 60.48

Step-by-step explanation:

Convert 12% to a decimal which is 0.12

then do the sum 0.12x504

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

[tex]6 \times ( - 4) \\\blue{ = - 24}[/tex]

[tex] \\[/tex]

[tex] \frac{ - 20}{ - 5} \\ = \frac{20}{5} \\ \blue{= 4}[/tex]

[tex] \\[/tex]

[tex] \frac{ - 60}{6} \\\blue{ = - 10}[/tex]

[tex] \\[/tex]

[tex] - 2 \times 9 \\ \blue{ = - 18}[/tex]

[tex] \\[/tex]

[tex] \frac{20}{ - 4} \\ \blue{ = - 5}[/tex]

[tex] \\[/tex]

[tex] - 2 \times - 5 \\ \blue{= + 10}[/tex]

[tex] \\[/tex]

[tex] \frac{ - 49}{7} \\ \blue{ = - 7}[/tex]

[tex] \\[/tex]

[tex] - 10 \times - 7 \\ \blue{= + 70}[/tex]

[tex] \\[/tex]

[tex] \frac{36}{ - 6} \\ \blue{= - 6}[/tex]

[tex] \\[/tex]

[tex] - 10 \times 8 \\ \blue{ = - 80}[/tex]

[tex] \\[/tex]

[tex](2 \times - 3) - ( - 7\times - 10) \\ = - 6 - ( + 70) \\ = - 6 - 70 \\ \blue{ = - 76}[/tex]

Answer:

Step-by-step explanation:

SV is correct because it is the same

length of UT. You can check by using

your fingers to check the length of

UT then turn the picture around to

see if it is equal.

Hope this helps! <3

Answer:

S is the midpoint of UT

Step-by-step explanation:

US = ST   -----> from the picture

So, S is the mid point

Answer:

1. 35 2. 145 3. 35 4. 90 5. 145

Step-by-step explanation:

Answer: Kylie did better in the second one than she did in the first one

Step-by-step explanation:

If you do 19 divided by 25 you will get 0.76 so she got a 76% on the first test. Then if you do 16 divided by 20 you will get 0.8 so she got a 80% on the second test.

Answer:

g(6)=-22

Step-by-step explanation:

g(6)=-4(6)+2

g(6)=-24+2

g(6)=-22