Answer:
24 feet
Step-by-step explanation:
According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench
So, she needs 13 yards
converting into feet
1 yard = 3 feet
13 yards x 3 = 39 feet
Now, she already has 15 feet of fabric.
Finding out the difference : 39 - 15= 24 feet
Therefore, she needs 24 feet more of fabric
For the first question, all you need to know is that the (amount you want) divided by (the amount of cards total) is the probability of getting the amount you want at random. for example, if there are 3 red marbles in a bag of ten marbles, you divide 3 by 10 (0.30) the probability of picking up a red marble is 30%. try adding up how many cards you want to pick up by the number of cards total.
Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
Answer:
The second answer - 40, 10, 20, 50
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.
The solution is (5,2)
Step-by-step explanation:
From the third column the equation for sum of equivalent system is given as;
8x = 40
divide both sides by 8 to get value of x
8x/8 = 40/8
x=5
Using the value of x in the fifth column's first equation will be;
4x +4y =28
4(5) + 4y =28
20 +4y =28
4y= 28-20
4y=8
divide both sides by 4 to get y
4y/4 =8/4
y=2
The solution is x=5 and y=2 written as (5,2)
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Solving simultaneous equations : brainly.com/question/12647791
Keywords: table, solution, column, original system
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