Evaluate the following expression 5 + 3 x 7 + (5 - 3)² ÷ (7 - 3)
Answers
= 5 + 21 + 2² ÷4
=5 + 21 + 4 ÷ 4
=5 + 21 + 1
=27
Related Questions
4 An alloy is a mixture of metals. Most of the gold used in jewellery is an alloy of pure gold and other metals which are added to make the gold harder. Pure gold is 24 carats (ct), so 18 carat parts pure gold 18 gold is an alloy of gold and other metals in the ratio 18:6. In other words, 18/24 parts pure gold and 6/24 other metals. a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add? b . An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain? c. What is the ratio of gold to other metals in 14 ct gold? d. What is the ratio of gold to other metals in 9 ct gold?
Jasmine is building birdhouses. it takes her 3 1/2 hours to build 4 birdhouses. which of the following is a equivalent rate?a. 14 hours to build 18 birdhouses b. 28 hours to build 35 birdhouses c. 7 hours to build 8 birdhouses d. 21 hours to build 28 birdhouses plz help quick
In the function f(x) what is f(3)
For the following set of data, find the percentage of data within 2population standard deviations of the mean, to the nearest percent.58, 77, 31, 54, 58, 54, 56, 58, 56
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, the minimum production cost for company :blank:is greater.
[Put 1 or 2 in the blank space]
Answers
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 = 25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537
company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
The minimum production cost of company 2 is greater than the minimum production cost of company 1.
How to find Production Cost?
Using the given input values, we have;
For Company 1, the respective productioncosts are;
f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 537
For company 2, we are given the various production costs as;
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
From the above production cost values, we can deduce that the minimum productioncost of company 2 is greater than the minimum production cost of company 1.
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Answers
Answer:
1.2 seconds
Step-by-step explanation:
The height of the diving board above water is 12 feet.
The person dives with an initial velocity of 10 feet per second.
The time taken is gotten by dividing the height jumped by the velocity at which the person dived.
That is:
t = d / s
where d = height jumped = 12 ft
s = velocity = 10 ft/s
Therefore:
t = 12 / 10 = 1.2 seconds
It took the person 1.2 seconds to hit the water.
B) f(x) represents the total number of weeks that he has exercised; x represents the number of hours
C) f(x) represents the number of hours he exercises per day; x represents the number of weeks
D) f(x) represents the total number of hours that Luke has exercised; x represents the number of weeks he exercises per day
Answers
f(x) = 7x + 15
7 hours each week
x ... the number of weeks
f(x) ... the total number of hours Luke exercises
The correct result would be A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.
f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.
Which of the following correctly shows the steps to solve this equation?
Step 1: 12x − 2 = 1; Step 2: 12x = 3
Step 1: 12x − 6 = 1; Step 2: 12x = 7
Step 1: 7x + 1 = 1; Step 2: 7x = 0
Step 1: 7x − 5 = 1; Step 2: 7x = 6
Answers
12x=7
---------
Answer:
1: 12x − 6 = 1
2: 12x = 7
✔
Step-by-step explanation:
{x | x ≤ -8}
{x | x ≥ -8}
{x | x ≥ 8}
Answers
The solution is Option A.
The value of the inequality equation is {x | x ≤ -8}
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
-7x ≥ 56 be equation (1)
On simplifying the equation , we get
Divide by -1 on both sides of the equation , we get\
7x ≤ -56
Divide by 7 on both sides of the equation , we get
x ≤ -8
Therefore , the value of A is x ≤ -8
Hence , the inequality equation is x ≤ -8
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Hope I helped : )
Answers
its general formula is
So, the 9th term is