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givi [52]
3 years ago
11

Write as an equation: Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years young

er than Carol. Together the sisters are 68 years old. How old is Barbara? (Let b = Barbara)
Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

a+b+c=68

b-3=a

c-5=b

now just solve the system of equations, substitue so that there are only b's in the equation:

a+b+c=68

(b-3) + b + (b+5) = 68

3b=66

b=22

Therefore Barbara is 22

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A jar contains 0.75 liter of blackberry juice and 0.60 liter of blueberry juice. Patrick poured 0.25 liter of guava juice into t
mixas84 [53]

Answer:

1.40 litres; order of operations

Step-by-step explanation:

Part A:

First, write it out in the full form.

#1 (.75 litres of blackberry juice + .60 litres of blueberry juice + .25 litres of guava juice) - .20 litres drank = 1.4 litres of juice remaining in the jar

Part B:

Removing the wordy descriptions from the expression, we get the following:

#2 (.75 + .60 +.25) - .20

or, by adding the numbers in the parentheses first:

#3 (1.60) - .20 = 1.40

#4 1.40 litres of juice left in the jar

The order of operations was used in moving from step #2 to step #3, as operations within the parentheses were conducted before subtracting the .20 litres of juice which were drank.

8 0
3 years ago
Can a 3 foot-by-9 foot rectangle be a scaled copy of a 3 foot-by-1 foot rectangle? Explain
Bumek [7]
No,because 9 feet is way bigger than 1 foot.
7 0
3 years ago
. If you saved $2.00 on january 1, $4.00 on february 1, $8.00 on march 1, $16.00 on april 1, and so on. how much money would you
SIZIF [17.4K]
=2+4+8+16+32+64+128+256+512+1024+2048+4096
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4 0
3 years ago
Read 2 more answers
Plot the following points to create a rectangle.
Tanya [424]

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be (x, y).

Let us recall the properties of a rectangle.

The <em>opposite sides</em> of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = -5-x

Change in x coordinate from A to B = -5-5 =-10

Equating them:

-5-x=-10\\\Rightarrow x = 5

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

-1-3=y-3\\\Rightarrow y =-1

Missing vertex is <em>(5, -1)</em>.

Please refer to the attached image for the rectangle.

3 0
3 years ago
Y= 2x +2
Airida [17]

Answer:

The system has one solution, at a single point of intersection.

Step-by-step explanation:

I'm going to assume that g and y are the same thing here, on a normal xy-coordinate plane. If there is actually a third dimension, 'g', then I am probably wrong, and I apologize.

For a system of 2 linear equations, a 'solution' is a point of intersection for the two lines.

If the two lines are parallel, they will have no intersection. These two equations are in the form y = mx + b, where m is the slope. <u>If their slopes are the same, then the lines are parallel.</u> The first equation has a slope of 2. The second equation has a slope of 6. 2 ≠ 6, obviously. They are are <u>not </u>parallel, so there is <u>at least one</u> solution (intersection)

If two equations are 'equivalent', then they represent the same exact line and you cannot find a unique solution to the system because there is no single point where they intersect. They intersect at <u>all </u>points, so there are an infinite number of solutions. Two equations in the same format (like point-slope) will be equivalent if you see that one is just a multiple of the other. That is not the case here. They are not equivalent, so there are not an infinite number of solutions.

For the intersection of two lines in a plane, that intersection is no point, 1 point, or infinite points.

We have ruled out no point and we have ruled out infinite points.

There must be a solution of one point where the two lines intersect.

That would be consistent with answers B and E as shown in your Brainly question.

4 0
3 years ago
Read 2 more answers
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