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Eduardwww [97]
3 years ago
8

The sum of two numbers is 56. the first number is 2/5 of the second number. Let x represent the first number and y represent the

second number. choose the correct system of equations.
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0
I believe it would be x + y = 56
SpyIntel [72]3 years ago
4 0
Hello, 

x= first number
y= second number

their sum is 56, so:
x+y=56

The first number is 2/5 of the second number, so:
x= \frac{2}{5}y

Those are the two equations.
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Use mulipation to find 2 equivalent fractions
laila [671]
1/2 is equivalent to 2/4 because,

2(1/2) = 2/4 

So as you can see if you multiply the numerator(top) and the denominator(bottom) by the same number, you get an equivalent fraction! In my example you can see that I multiplied both by 2.
5 0
3 years ago
What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
olga_2 [115]

Answer:

\boxed{\text{51.71 cm}^{2}}

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}

Data:

θ = 49°

r = 11 cm

Calculation:

\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}

4 0
3 years ago
Jessica and Maria got to the supermarket to buy fruit. Jessica
Burka [1]

Answer:$0.25 per apple

$0.30 per orange

Step-by-step explanation:

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people

3 0
3 years ago
4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a
s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

Principal=24000-1000\\\\=23000

Knowing that n=12\times 6=72,P=23000, r=7.99\%/12=0.006658, the monthly payments can be calculated using the formula:

M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15

Hence, the monthly payment is $403.15

3 0
3 years ago
What is the solution to the system of equations
ExtremeBDS [4]

Answer:

Y = 2

X = 3

Step-by-step explanation:

Substitution:

6(4y-5) - y = 16

24y-30-y=16

23y=46

Y = 2

So then:

6x-2 = 16

6x = 18

X = 3

8 0
2 years ago
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