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Sergeu [11.5K]
3 years ago
7

Dylan and Javier had the same size serving of vegetables for dinner. Dylan finished 2/3 of his vegetables. Javier ate 4/6 of his

serving. Who ate more vegetables? Draw two number lines to justify your answer.
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
They ate the same amount of vegetables. Because if you simply 4/6 it becomes 2/3 which is equal to Dylans serving.


!____!____!____!____!___!
1/6   2/6    3/6     4/6    5/6   1

!_________!____________!
1/3             2/3                    3/3
Bond [772]3 years ago
7 0
Both because 2 x 3 is 6 2x2 is 4 and you get 4/6 so both have the same amount of vegetables
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Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities
Juli2301 [7.4K]

Answer:

x + y <u>></u> 15

10x + 5y <u><</u> 100

we will put it in terms of y

y <u>></u> 15 - x

and

5y <u><</u> 100 - 10x

y <u><</u> 20 - 2x

<u>-TheUnknownScientist</u>

4 0
3 years ago
Pls help someone pls
Ber [7]

Answer:

Step-by-step explanation:

Find the are by multiplying all of the sides    together, and you wil  get your answer.  

5 0
3 years ago
In circle P with mNRQ = 60°, find the angle measure of minor arc NQ
Galina-37 [17]

Given:

m∠NRQ = 60°

To find:

The angle measure of minor arc NQ

Solution:

The inscribed angle is half of the intercepted arc.

$\Rightarrow m\angle NRQ =\frac{1}{2} m(ar NQ)

Multiply by 2 on both sides.

$\Rightarrow 2 \times m\angle NRQ =2 \times \frac{1}{2} m(ar NQ)

$\Rightarrow 2 \ m\angle NRQ =m(ar NQ)

Substitute m∠NRQ = 60°.

$\Rightarrow 2\times 60^\circ=m(ar NQ)

$\Rightarrow 120^\circ=m(ar NQ)

The measure of minor arc NQ is 120°.

8 0
3 years ago
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
3241004551 [841]

Answer:

There is sufficient evidence that fuel economy goal has been attained.

Step-by-step explanation:

The hypothesis :

H0 : μ < 30.2

H1 : μ ≥ 30.2

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 32.12 ; s = 4.83 ; n = 50

Test statistic :

(32.12 - 30.2) ÷ (4.83/√(50))

1.92 ÷ 0.6830651

T = 2.811

Using the Pvalue from test statistic calculator :

Since we used the sample standard deviation, we use the T distribution

df = n - 1 = 50 - 1 = 49

Pvalue(2.811, 49) ; one tailed = 0.00354

At α = 0.05

Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained

4 0
3 years ago
A=244in2<br> H=<br> B=12.6in<br> (1in=2.54cm)
pshichka [43]
Although there is no picture, I will assume this is a triangle we are talking about since the terms base and height are being used. If that is the case, the height is roughly 38.72in. 

To find this, we will use the area of a triangle formula. 

1/2bh = a ---> plug in known values. 
1/2(12.6)(h) = 244 ---> multiply to simplify
6.3(h) = 244 ----> divide both sides by 6.3
h = 38.73
6 0
3 years ago
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