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inna [77]
2 years ago
7

Diana received 98,719 from her grandmothers inheritance. Her brother, Tim, got 10,803 more than Diane and her sister, Chole, rec

eived 10,255 less than Tim. How much did Chloe receive from her grandmother inheritance?
Mathematics
1 answer:
cupoosta [38]2 years ago
6 0

Answer:

She received 99,267

Step-by-step explanation:

First you would add 10,803 to 98,719. You get 109,522. Now subtract 10,255 from that to get your answer.

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A straight line y = mx + c is parallel to y = 3x +2
Anna11 [10]

Answer:

m = 3 and c = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with m = 3

• Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = 3x - 1 ← equation of parallel line

with m = 3 and c = - 1

4 0
3 years ago
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Area of a rectangle 12 by 10
Schach [20]

Answer:

120

Step-by-step explanation:

The area of a rectangle is its width multiplied by its length, which in this case is 12*10=120.

8 0
3 years ago
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Andrew had $50 and saved x dollars in a month. Anne had $60 and saved half as many dollars in a month as Andrew. How many did An
Amanda [17]

Answer:

$20

Step-by-step explanation:

Set up an equation where x is the number of dollars Andrew saved in a month:

50 + x = 60 + 0.5x

Solve for x:

50 + 0.5x = 60

0.5x = 10

x = 20

So, Andrew saved $20

6 0
3 years ago
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Simplify the expression by arranging the steps in sequence based on the order of operations 1/6(30x+24)-1/7(63-7×)
alex41 [277]

Answer:

6x-5

Step-by-step explanation:

We apply distributive property to get rid of the first parenthesis, by multiplying each term inside by the factor 1/6:

\frac{1}{6} (30x+24)-\frac{1}{7} (63-7x)\\\frac{30}{6} x+\frac{24}{6} -\frac{1}{7} (63-7x)\\5x+4-\frac{1}{7} (63-7x)

now we get rid of the second parenthesis by multiplying the factor "-\frac{1}{7}" times each of the terms inside the parenthesis (notice here that this factor is negative , so it will flip the signs of the terms it multiplies):

5x+4-\frac{1}{7} (63-7x)\\5x+4-\frac{63}{7} +\frac{7}{7} x\\5x+4-9+x

Next we combine like terms:

5x+4-9+x\\5x+x+4-9\\6x-5

7 0
2 years ago
Compare a dilation to the other transformations: translation, reflection, rotation.
inysia [295]

Answer:

We know that there are four types of rigid transformations namely Dilation, Translation, Reflection and Rotation.

Now, Dilation is the transformation that changes the size of the figure by some scale factor i.e. it is the transformation that increases or decreases the size of the given figure.

We can see in the first figure that the triangle ABC is dilated ( increased by some scale factor ) to form A'B'C'.

Further, Translation is the transformation that slides the figure horizontally or vertically to a fixed distance.

The second figure shows the change of position of the solid ABCD to the position of A'B'C'D'.

Now, Reflection is the transformation that flips the image about a straight line.

During reflection, the size of the figure remains same but the it goes to the opposite side of the line.

We can see from the third figure the reflection of ABC about the y-axis to form A'B'C'.

Finally, Rotation is the transformation that turns the image about a fixed point called the center of rotation to a certain degree.

So, in the last figure, we see that the image A is rotated about the center of rotation by 120° to form A'.

Hence, we see that Dilation is different from the other transformations.

7 0
3 years ago
Read 2 more answers
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