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aivan3 [116]
3 years ago
7

Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than

1 1/4 times the number of shells Mary has. Nancy has 1 more than 1 1/2 times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution. (isnt fraction is one and one fourths, second fraction is 1 and one halfs)
Mathematics
2 answers:
adelina 88 [10]3 years ago
6 0
X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n

1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
Tema [17]3 years ago
5 0
X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n

1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
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Please help
Andreyy89

9514 1404 393

Answer:

  y -1 = -1(x -2)

Step-by-step explanation:

The slope of the line through the two points can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(-2 -2) = 4/-4 = -1

The point-slope equation for a line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...

  y -1 = -1(x -2)

_____

<em>Additional comment</em>

Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.

5 0
3 years ago
Name the types of angles shown
Karo-lina-s [1.5K]

Answer:

B) supplementary angles

C) straight angle

Step-by-step explanation:

There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.

There are no angles that are 90 degrees so its not complementary or a right angle.

8 0
3 years ago
Describe how the transformed function below is obtained from its parent function.
Debora [2.8K]
Answer is D... the -3 outside the absolute/parenthesis shifts is down
3 0
3 years ago
What are the missing parts that correctly complete the proof
bonufazy [111]

Answer:

2. \overline{AX}\cong \overline{BX}

3. PX \perp AB - definition of perpendicular

4. \angle PXA \cong \angle PXB - all right angles are congruent

6. \triangle AXP\cong \triangle BXP

7. \overline{PA} \cong \overline{PB}

Step-by-step explanation:

<u>Given: </u>Point P is the perpendicular bisector of AB

<u>Prove: </u>P is equidistant from the endpoints AB

<u>Proof.</u>

1. Point P is on the perpendicular bisector of AB - given

2.\overline{AX}\cong \overline{BX} - definition of bisector

3. PX \perp AB - definition of perpendicular

4.  \angle PXA \cong \angle PXB - all right angles are congruent

5. \overline{PX} \cong \overline{PX} - reflexive property of congruence

6. \triangle AXP\cong \triangle BXP - SAS congruency postulate

7. \overline{PA} \cong \overline{PB} - corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the endpoints of AB - definition of equidistant

5 0
3 years ago
I have chosen 4 MYSTERY INTEGERS. At least one is positive and one is negative. <br> Follow these clues to figure out my integer
kirill [66]
Let the four numbers be A,B,C,D in ascending order.

The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.

Given that the product of the two greatest numbers is 6, we have C*D=6, or 
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3  ok.

So the numbers are
A=-9, B=-2, C=2, D=3.


4 0
3 years ago
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