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Alex17521 [72]
2 years ago
7

Barry’s pet turtle, Turtlelini, escaped from his backyard. Barry found Turtlelini by the creek and wanted to determine how far T

urtlelini had walked. On the map, Barry’s house is 0.6 inch from the creek. If the scale on the map shows that 1.5 inches are equivalent to 0.8 mile, how far did Turtlelini walk, to the nearest tenth of a mile?
Mathematics
1 answer:
Mashcka [7]2 years ago
4 0

Answer:

On the map:

0.8 mile / 1.5 inches

=  0.533 mile / 1 inch

Total distance on the map:

0.6 inches

distance travelled in miles:

0.6 * 0.533 = 0.32 miles

please mark brainly if you want

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The railing of a wheelchair ramp is parallel to the ramp. Find x and y in the diagram.
yKpoI14uk [10]

Given:

The wheel chair ramp is parallel to the ramp.

To find:

The value of x and y.

Solution:

If two lines are parallel, then the alternate interior angles are congruent.

4x° + 6y° = 86° --------- (1)

Similarly,

5x° + 6y° = 94°

Subtract 5x° from both sides.

5x° + 6y° - 5x° = 94° - 5x°

6y° = 94° - 5x° --------- (2)

Substitute (2) in (1).

4x° + 94° - 5x° = 86°

94° - x° = 86°

Subract 94° on both sides.

94° - x° - 94° = 86° - 94°

- x° = 86° - 94°

- x° = -8°

Multiply by -1 on both sides, we get

x = 8

Substitute x = 8 in (2).

6y° = 94° - 5(8)°

6y° = 54°

Divide by 6 on both sides, we get

y = 6

The value of x is 8 and y is 6.

5 0
2 years ago
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos
RideAnS [48]

Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

x+y=24...(1)

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be 3.50x and cost of y 16-oz bags would be 5y.

At the end of one week, she collected $97.50. We can represent this information in an equation as:

3.5x+5y=97.50...(2)

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

y=24-x

Substitute this value in equation (2):

3.5x+5(24-x)=97.50

3.5x+120-5x=97.50

-1.5x+120=97.50

-1.5x+120-120=97.50-120

-1.5x=-22.5

\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}

x=15

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute x=15 in equation (1) to solve for y.

15+y=24

15-15+y=24-15

y=9

Therefore, the number of 16-oz boxes sold be Jillian is 9.

8 0
2 years ago
Jada and Tonya ran 400-meter race. Jada ran the race in 75.2 seconds. Tonga ran the race 69.07 seconds. How much faster did Tony
Ksenya-84 [330]
Tonya beat Jada by 5.13 seconds
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Tonya is going 13 MPH
Tonya is going 1.1 MPH faster than Jada

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8 0
2 years ago
Find the sum of the first 63 terms of –19, -13, -7 …
boyakko [2]

The Given Sequence is an Arithmetic Sequence with First term = -19

⇒ a = -19

Second term is -13

We know that Common difference is Difference of second term and first term.

⇒ Common Difference (d) = -13 + 19 = 6

We know that Sum of n terms is given by : S_n = \frac{n}{2}(2a + (n - 1)d)

Given n = 63 and we found a = -19 and d = 6

\implies S_6_3 = \frac{63}{2}(2(-19) + (63 - 1)6)

\implies S_6_3 = \frac{63}{2}(-38 + (62)6)

\implies S_6_3 = \frac{63}{2}(-38 + 372)

\implies S_6_3 = \frac{63}{2}(-38 + 372)

\implies S_6_3 = \frac{63}{2}(334)

\implies S_6_3 = {63}(167) = 10521

The Sum of First 63 terms is 10521

4 0
2 years ago
The sixth grade is charging $9 per car to wash cars. The fifth grade is charging $8.50 per car. Suppose each grade washes 50 car
ArbitrLikvidat [17]
6th graders make $9 per car. $9 times 50 cars
5th graders make $8.50 per car. $8.50 times cars

6th graders earn $450 after washing 50 cars.
5th graders earn $425 after washing 50 cars

$450-$425=$25

The 6th graders make $25 more than the 5th graders.
8 0
2 years ago
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