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S_A_V [24]
4 years ago
11

Which number replaces the box to make this a true number sentence? 4 × (8 – 5) = (4 × 8) – ( × 5) A. 4 B. 5 C. 12 D. 32

Mathematics
1 answer:
Andre45 [30]4 years ago
3 0
The answer is A: 4. This is easy once you know the order of operations, aka PEMDAS. Parentheses, exponents, multiplication/division, and addition/subtraction.
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Bob's truck averages 23 miles per gallon. If Bob is driving to his mother's house, 72 miles away, how many gallons of gas are ne
anyanavicka [17]

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

4 0
3 years ago
41/x=5/2 x=____ solve for the proportion
Tatiana [17]
Start by cross multiplying:
41*2 = 5x
Simplify:
82 = 5x
Final answer:
x = 82/5 = 16.4
5 0
3 years ago
Read 2 more answers
Pls solve quickly !!
Eva8 [605]

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

5 0
3 years ago
What is the sum of the infinite geometric series? -3-3/2
Juliette [100K]

Answer:

To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.

6 0
3 years ago
Read 2 more answers
The point (4,5) is translated two units left and eight units down. What is the y-coordinate of the image?
Alexeev081 [22]

Answer:

-3

Step-by-step explanation:

5 0
4 years ago
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