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vova2212 [387]
3 years ago
13

Jasmine is going on a diet and wants to lose 5 pounds a month. She currently weighs 180 pounds. Write and solve an equation to d

etermine how many months she must diet is her goal weight is 145. Plzzz I will give you 100 points
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

7 months

Step-by-step explanation:

An equation which gives us J's weight after any particular month is

W(m) = 180 lb - (5 lb/mo)t

Her goal weight is 145 lb.

Therefore, write:

W(m) = 145 lb = 180 lb - (5 lb/mo)t.

We must solve this equation.  To do so, subtract 180 lb from both sides of the equation:

145 lb - 180 lb =  - (5 lb/mo)t

-35 lb =  - (5 lb/mo)t

t = 35 lb   /   (5lb/mo) =  7 mo

J. must diet for 7 months to get her weight down to 145 lb from 180 lb.

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This morning, some dragons, horses, and chickens were playing in my backyard. I counted 15 heads, 50 legs, and 4 wings. How many
klasskru [66]

We are given

number of heads =15

we know that

any healthy dragon has three heads

horse has 1 head

chicken has 1 head

Let's assume

number of dragons is x

number of horses is y

number of chickens is z

so, we will get

first equation:

3x+y+z=15

number of legs =50

any healthy dragon has four legs

chicken has 2 legs

horse has four legs

so, we can get second equation as

4x+4y+2z=50

we can simplify it

2(2x+2y+z)=50

2x+2y+z=25

now, we can find third equation

dragon has two wings

horse has no wings

chicken has two wings

so, we will get third equations as

2x+0y+2z=4

now, we can simplify it

2x+2z=4

2(x+z)=4

x+z=2

so, we will get system of equations as

3x+y+z=15

2x+2y+z=25

x+z=2

now, we can use substitution

We can find for z from third equation

z=2-x

we can plug this in first equation

3x+y+2-x=15

now, we can solve for y

2x+y+2=15

y=13-2x

now, we can plug this z and y into second equation

2x+2(13-2x)+2-x=25

now, we can solve for x

x-4x+26=23

-3x=-3

x=1

now, we can find y and z

y=13-2x

we can plug x=1

y=13-2*1

y=11

z=2-x

we can plug x=1

z=2-1

z=1

Hence ,

number of dragons is 1

number of horses is 11

number of chicken is 1............Answer

7 0
3 years ago
Is 65 greater than 344? explain?.
miskamm [114]

Answer:

No

Step-by-step explanation:

65 is closer to 0 on the number line. Therefore 65 has a lower value the 344.

6 0
3 years ago
What expression is equivalent to 3(x+4)^2
eimsori [14]

Hello there,

Well we are given with 3(x + 4)² and we need to simplify this expression...

  1. write out the expression: 3(x + 4)(x + 4)
  2. then we distribute the parentese: 3(x² +4x +4x +16)
  3. combine like terms: 3(x² + 8x + 16)
  4. distribute the 3 in the parentese: 3x² + 24x + 48

So another way to express this would be 3x² + 24x + 48.

Hope I helped,

Amna

8 0
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NemiM [27]

A negative number is always less than a positive number.

When comparing two negative numbers, the smaller negative number is the greater value.


The answer would be 5. -5 > -18

6 0
3 years ago
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What is the derivative of sqrt7 times x +sqrt2x
castortr0y [4]
I guess you mean the derivative of:

√7x + √2x, if so then:

Remember that the derivative of √u = 1/(2√u) . u'

if 7x = u, then u' = 7 , hence the derivative of √7x is 7/(2√7x)
Use same logic for √2x and you will find:

y' = 7/(2√7x) + x/√2x

4 0
4 years ago
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