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OlgaM077 [116]
3 years ago
12

4. Two more than a certain number is 15 less 7 8 than the product of and the number.

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

<u>Answer</u><u>:</u>

Equation: x + 2 = 7/8x - 15

Solution: x = -136

<u>Explanation</u><u>:</u>

x + 2 = 7/8x - 15

2 + 15 = 7/8x - x

17 = 7/8x - 8/8x

17 = -1/8x

17 × -8 = x

-136 = x

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Step-by-step explanation:

The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.

for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.

The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.

substituting 36 for x and 10 for y in eq 1;

3(36) + 10 = 108 + 10 = 118 total students for Green High School

substituting 36 for x and 10 for y in eq2;

4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school

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2 years ago
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Answer:

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3 years ago
Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length
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Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

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and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

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"baseline 2" × "height 2" / 2 =

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so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

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