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eduard
3 years ago
11

jane is making a suit which requires 25/8 yards for the jacket and 1 3/4 yards for the skirt. what's the total amount of materia

l she needs?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0
We add 25/8 yards and 1 3/4 yards together.

First we convert 1 3/4 to an imp. fraction 7/4.

In order to add fractions, they must have the same common denominator. So we multiply both sides of the fraction 7/4 by 2 to get 14/8.  Now we can add 25/8 yards and 14/8 yards together to get 39/8 yards.
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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

3 0
2 years ago
GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1
MakcuM [25]

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

−

2

y

=

−

2

+

5

y

=

3

Or

(

−

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

6 0
2 years ago
Read 2 more answers
There is 1in. of water in a pool. The water level is increasing at 0.75in./min. Which linear equation represents the total depth
mixas84 [53]

Answer:

b i believe

Step-by-step explanation:

because you would multiply the speed over time the add what you started with

8 0
3 years ago
Read 2 more answers
In this fulcrum, for the weights to be balance, what do the distances d1 and d2 have to be if the overall length is 12 feet?
mel-nik [20]
For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.

Let d1= x. since total distance is 12, we can write d2 = 12 - x

for the fulcrum to balance:

60x = 50(12 - x)

60x = 600 - 50x

110x = 600

x = 5.45

Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55

d1 = 5.45
d2 = 6.55
5 0
3 years ago
Read 2 more answers
HELP ME PLEASE! HALF-DONE ANSWERS WILL BE DELETED! 15 POINTS!
Leni [432]

Answer:

G) Yes, because the plots and the linear model both align to produce a similar calculated sum.

H) I need to see the data table again for step 2d.

Step-by-step explanation:

1.) You scatter plot should be off by 6.97, since that was the first difference in your data table set of terms.

Basically subtract all of the GPAs from the Hours in the table.

Ex). Hours - GPA = Difference

or like before,

      9.2 - 2.23 = 6.97

Do the rest of the numbers like this then plot the answers.  I'd advise you plot your second set of scatter plot points in a different color.

6 0
3 years ago
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