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erastova [34]
3 years ago
13

Two brothers went shopping at a back-to-school sale where all shirts were the same price, and all the shorts too. The younger br

other spent $76 on 8 new shirts and 3 pairs of shorts. The older brother purchased 3 new shirts and 9 pairs of shorts and paid a total of $123. How much did each item cost?
Mathematics
1 answer:
liraira [26]3 years ago
4 0
Ach item cost $9.50 .... hope this helps u 
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5+5-6+10-100 what is the answer
timama [110]

Answer:

-86

Step-by-step explanation:

5+5=10

10-6=4

4-100=-86

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3 years ago
Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.<br>​
sp2606 [1]

Answer:

\large\boxed{f(x)+(x-3)^2-7}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7

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3 years ago
Write the following in standard form: (x-4)^2 = 49
Korolek [52]

Answer:

I have made it in picture hope it helps

8 0
3 years ago
Need help ASAP! What is this
ikadub [295]

180 - 64= 116

116 divided by 4 = 29

x=29

Have a good day:>

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3 years ago
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