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IgorLugansk [536]
1 year ago
6

What is the value of 8b - 3c when b = 3 and c = 4? ​

Mathematics
2 answers:
katrin2010 [14]1 year ago
6 0

Answer:

the answer is 12

Step-by-step explanation:

8×3-3×4=

=24-12

=12

Ber [7]1 year ago
3 0

Answer:

12

Step-by-step explanation:

substitute b = 3 and c = 4 into the expression

8b - 3c

= 8(3) - 3(4)

= 24 - 12

= 12

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Aleks [24]

Answer:

<u>The number of pens = 120 and the number of pencils = 200</u>

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

y = 300/1.5 = 200

x = y - 80 = 200 - 80 = 120

<u>So, the number of pens = 120 and the number of pencils = 200</u>

7 0
3 years ago
1. If quadrilateral ABCD is rotated 270° clockwise about the origin, find the coordinates of B'.
Zielflug [23.3K]

Answer:

The coordinates of B' are (-3, 5).  

Step-by-step explanation:

For every 90 degrees rotated, the coordinate numbers switch and one is multiplied by -1, when clockwise it's the 2nd one, and when counterclockwise, it's the 1st.

4 0
3 years ago
The base of a trinagle is increased by 20% and it’s height is increased by 30%. By what percent is the area of the triangle incr
Molodets [167]

Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y

Area of a triangle is base times height divided by 2:

1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy

But a normal area would be 50% of xy

78% - 50% = 38%

ANSWER: 38% increase

4 0
3 years ago
Work out the value of: 3x + 2y when x equals -3 and y equals -4
Mazyrski [523]

replace the numbers given for x & y so

the equation becomes 3*(-3) + 2*(-4) =

3*-3 = -9

2*-4 = -8

-9 + -8 = -17

6 0
2 years ago
Can someone double check this please
Dmitry [639]

Answer: c. 29.65 + 0.90r ≤ 41

5 0
3 years ago
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