Which is more heavy a pound of bricks or a pound of feathers

Zachary and his children went into a grocery store and will buy bananas and peaches.

stealth61 [152]

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

The inequality function is as follows:

Let us assume the number of bananas acquired be b

And, the number of peaches acquired be p

Cost of each banana be $0.50

ANd, the cost of each peach be $1.50

Also the total would be $8

The possible values of banana is 0.5b

And, for peaches it would be 1.5p

So, the inequality function is

0.5b + 1.5p ≤ 8

7 0

3 years ago

9 is the difference between two numbers, and their sum is 31. Find the numbers.

algol [13]

Answer:

The first number is 20, the second one is 11

Step-by-step explanation:

Let the first number be x and the second number be y

Since it says "9 is the difference between two numbers", the first equation will be x-y=9

It also says that "their sum is 31". That means the second equation will be x+y=31

here are the two equations:

x-y=9

x+y=31

You can solve this any way you like, but I'll show elimination

add the two equations

x-y=9

x+y=31

2x=40

divide by 2

x=20

Substitute 20 as x in one of the equations

20+y=31

subtract 20 from both sides

y=11

That means the two numbers are 20 and 11

Hope this helps!

4 0

3 years ago

Solve for a and b<br> (6a-3)=(7b-10)

Free_Kalibri [48]

Answer:

for A= $\frac{7b-7}{6}$ and for B= $\frac{6a+7}{7}$

Step-by-step explanation:

For A

$\left(6a-3\right)=\left(7b-10\right)$

$6a-3+3=7b-10+3$

$6a=7b-7$

$\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}$

$a=\frac{7b-7}{6}$

For B

$\left(6a-3\right)=\left(7b-10\right)$

$7b-10=\left(6a-3\right)$

$7b-10=6a-3$

$7b-10+10=6a-3+10$

$7b=6a+7$

$\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}$

$b=\frac{6a+7}{7}$

3 0

3 years ago

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

STatiana [176]

Answer:

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

$A=P(1+r)^x$

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

$1000=P(1+r)^0\implies P = 1000$

A = 1900 when x = 1,

$1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9$

Thus, the required function that represents the population after x days,

$A=1900(1+0.9)^x=1900(1.9)^x$

If x = 4,

The number of mosquito after 4 days,

$A=1900(1.9)^4 = 24760.99\approx 24761$

If A = 60,000,

$60000 = 1900(1.9)^x$

$\frac{600}{19}=1.9^x$

Taking log both sides,

$\log(\frac{600}{19})=x\log 1.9$

$\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4$

Thus, there will 60,000 mosquitoes after 5 days.

6 0

3 years ago

Help, my daughter is learning about finding lengths of unknown sides. I have no idea how to help on these three homework problem

Lyrx [107]

BC = 4
GE= 23
QR = 7
TR = 11
BD = 22
FG = 6

explanation: you have to look at the numbers at the opposite side of where it’s asking, for example the first one; on the opposite side of BC it’s 12 and other side is 8 and you have to find the space in between so to find BC you would have to subtract 12-8 and you’ll get 4
basically a bunch of subtraction and addition, just look at the numbers on the opposite side. hope this helps !

5 0

3 years ago

Which is more heavy a pound of bricks or a pound of feathers​

Which is more heavy a pound of bricks or a pound of feathers