MATHEMATICS MIDDLE SCHOOL

Monica paid sales tax of $2.80 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge for the bike helmet before tax?

Answers

Answer 1

Answer:

7 % of cost price is 2.80 , What about 1%?

7 = 2.80

1 = x (where x is the price value of 1% in dollars)

We simplify the above equation, so:

7 × x = 2.8 × 1 → 7x = 2.8 → x = 2.8 / 7 → x = 0.4 dollars

We know that 100% represents the whole price,

so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars

Therefore the store charged $40 dollars for the helmet before tax

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Someone help please, anyone!
is this correct?: data can be arranged in visual displays called _graphs_ to make identifying trends easier. (or would it be bar graphs..?
Convert 17/100 into a decimal
What is 2&2/3 divided by 4?

Simplify using exponent rules:3^3×3^4/3^10

Answers

$\bf ~\hspace{7em}\textit{negative exponents} \n\n a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n \cfrac{3^3 \cdot 3^4}{3^(10)}\implies \cfrac{3^3 \cdot 3^4\cdot 3^(-10)}{1}\implies 3^(3+4-10)\implies 3^(-3)\implies \cfrac{1}{3^3}\implies \cfrac{1}{27}$

On a straight road, Luis is 10 km south of a water tower and Don is 15 km north of the same water tower. Relative to the water tower, where is the midpoint of the positions of Luis and Don? Please answer I really need help!

Answers

Answer:

The midpoint of the positions of Luis and Don would be 5 km North of the water tower.

Step-by-step explanation:

CeeCee recorded the number of necklaces for sale at 10 different locations and then arranged the numbers from smallest to largest. The numbers of necklaces for sale at the locations were 4, 4, 4, 5, 8, 9, 9, 9, 9, and 9.The mean number of necklaces for sale at the locations was 7.What is the mean absolute deviation?

Answers

Ok screw it, I went and watched a video on it
You calculate MAD by working out the absolute value that each data point is away from the mean
To do so, subtract each point from the mean, and then you don't care if the result is positive or negative, you just write it as positive
So
4 - 7 = -3, deviation is 3
4 - 7 = -3, deviation is 3
4 - 7 = -3, deviation is 3
5 - 7 = -2, deviation is 2
8 - 7 = 1, deviation is 1
9 - 7 = 2, deviation is 2
9 - 7 = 2, deviation is 2
9 - 7 = 2, deviation is 2
9 - 7 = 2, deviation is 2
9 - 7 = 2, deviation is 2
Now, you add up all the deviations, and divide them by the number of points of data you have, so
(3 + 3 + 3 + 2 + 1 + 2 + 2 + 2 + 2 + 2)/10, or simply
22/10
So the MAD is 2.2
I think

Answer: 2.2

This ilshoulf be right

6. Use the graph that shows the percent of cat ownerswho train their cats in each category. (Examples 3 and 4)a. Out of 255 cat owners, predict how manyowners trained their cat not to climb onfurniture.b, out of 316 cat owners, predict how many catowners trained their cat not to claw on furniture.Climbing onFurnitureClawingO FurnitureFightingwith otherAnimalsTraining Cats43%29%17%10 2030 40 50Percent Quick please

Answers

Answer: a) 110 b) 92

Step-by-step explanation:

Since we have given that

Percentage of animals not to climbing on furniture = 43%

Percentage of animals not to clawing on furniture = 29%

Percentage of animals not to fighting with other animals training cats = 17%

If the number of cat owners = 255

Number of owners trained their cat not to climb on furniture is given by

$(43)/(100)* 255\n\n=0.43* 255\n\n=109.65\approx 110$

If the number of cats owners = 316

Number of owners trained their cat not to claw on furniture is given by

$(29)/(100)* 316\n\n=0.29* 316\n\n=91.64\approx 92$

Hence, a) 110 b) 92

A. 110 owners
B. 92 owners

A plane starts at the origin of the coordinate plane. The plane flies 0.5 units left and 3.5 units up to point X. What are the coordinates of point X?

Answers

Answer:

Point X =(-0.5,3.5)

Step-by-step explanation:

We are given that A plane starts at the origin of the coordinate plane.

Thus the point X = (0,0)

Now we are given that The plane flies 0.5 units left

Thus x coordinate becomes -0.5

We are also given that point X , 3.5 units up

So, y coordinate become 3.5

So, Point X =(-0.5,3.5)

Refer the attached figure

explain how to use the missing pieces strategy to compare two fractions. include a diagram with your explanation.

Answers

To tell which fraction is larger, we need to understand which one is "missing" less.
For example, we have 3/4 and 7/8.
3/4 misses 1/4.
7/8 misses 1/8.
According to the rule, we choose 7/8 as a larger one because it "misses" less then 3/4. (1/8 < 1/4)

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