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Nina [5.8K]
3 years ago
12

Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.​

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

X=44/7

Step-by-step explanation:

4x-8+3x=36

7x-8=36

7x=36+8

7x=44

X=44/7

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A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of sta
nalin [4]

Answer:

Option 2 - Approximately 24–36 pounds

Step-by-step explanation:

Given : A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed.

To find : What range of weights would 99.7% of the dogs have?

Solution :

The range of 99.7% will lie between the mean ± 3 standard deviations.

We have given,

Mean weight of Eskimo dogs is \mu=30

Standard deviation of Eskimo dogs is \sigma=2

The range of weights would 99.7% of the dogs have,

R=\mu\pm3\sigma

R=30\pm3(2)

R=30\pm6

R=30+6,30-6

R=36,24

Therefore, The range is approximately, 24 - 36 pounds.

So, Option 2 is correct.

5 0
4 years ago
Allan borrows 1870 dollars from his uncle. Two years later, he borrows another 1240 dollars. If his uncle charges him 8 percent
Anna11 [10]
For t=0
<span>Allan borrows--------------------------- > 1870 dollars

for t=6 years
</span>F1 = P*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*6=6
we have
P1=1870
r=8%
m=1
t=6 years
F1 = 1870*(1 +(0.08/1))^6------------------ >2967.45 dollars

for t=2
Allan borrows--------------------------- > 1240 dollars

for t=6 years
F2 = P2*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*4=4
we have
P2=1240
r=8%
m=1
t=4 years------------> (6-2)=4 years
F2 = 1240*(1 +(0.08/1))^4------------------ >1687 dollars

F1+F2=2967.45+1687=4654.45 dollars
the answer is 4654.45 dollars


3 0
3 years ago
The booster club needs to raise at least $6,000 for new football uniforms. So far, they have raised $1,200.
lana66690 [7]

Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

{ \underline{ \mathfrak{ \: answer : }}}

{ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}

• To get the average, substitute for x as 99 and amount collected by each member

3 0
3 years ago
If AB=2(x+1) BC=3x+1 and AC=4(x+2) then find the value for x,AB,BC and AC
taurus [48]

Givens

AB + BC = AC

AB = 2(x + 1)

BC = 3x + 1

AC = 4(x + 2)

Substitute and Solve

AB + BC = AC

2(x + 1) + 3x + 1 = 4(x + 2)     Remove the brackets on the left

2x + 2 + 3x + 1 = 4(x + 2)      Collect the like terms on the left

5x + 3  = 4(x + 2)                  Remove the brackets on the right.

5x + 3 = 4x + 8                     Subtract 4x from both sides.

5x - 4x + 3 = 8            

x + 3 = 8                               Subtract 3 from both sides

x =8 - 3

x = 5

Answers

AB=2(5 + 1) = 2 * 6 = 12

BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16

AC = 4(5 + 2) = 4*7 = 28


7 0
3 years ago
Amy is six years older than her brother Leo. Leo is seven years old. If n stands for Amy's age, which of these sentences could b
egoroff_w [7]

Answer:

n = 6+x

Step-by-step explanation:

Given that:

Amy is 6 years old than her brother Leo

Let consider the age of Leo to be x since we are not yet told how old is Leo

Then Amy is 6+x

Now, we know that Leo is seven years old,

i.e x = 7

If n stands for Amy's age,

Then, the algebraic expression showing how old is Amy's age can be expressed as n = 6+x

Amy's age (n) = 6+7

Amy's age (n) = 13

8 0
3 years ago
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