6 stools and 4 chairs cost $58 but 5 stools and 2 chairs cost $35 find the coast of each stool and each chair
Answers
We can write -
Cost of stool = $3
Cost of chair = $8
What is a expression? What is a mathematical equation? What is Equation Modelling?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have 6 stools and 4 chairs cost $58 but 5 stools and 2 chairs cost $35
Assume that the cost of a stool is $x and of a chair is $y. Then -
6x + 4y = 58 ..[1]
5x + 2y = 35 ..[2]
Eq[2] x 2, we get -
10x + 4y = 70 ..[3]
Eq[3] - Eq[1], we get -
10x - 6x = 70 - 58
4x = 12
x = 3
Cost of stool = $3
Cost of chair -
4y = 70 - 38
4y = 32
y = 8
Cost of stool = $3
Cost of chair = $8
Therefore, we can write -
Cost of stool = $3
Cost of chair = $8
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Let c = price of charis
6s + 4c = $58 - Equation 1
5s + 2c = $35 - Equation 2
Take Equation 2 from Equation 1: s + 2c = $23 - Equation 3
Take Equation 3 from Equation 2: 4s = $12
Therefore, s = $3
Sub s into Equation 2: $15 + 2c = $35
2c = $20
c = $10
Therefore, a chair costs $10, a stool costs $3
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Brianna has 4 pink bracelets One third of all her bracelets are pink.How many bracelets does Brianna have?
Answers
Answer:
She earned $229.50
Step-by-step explanation:
1 hr = $18
12.75 hrs = $18 × 12.75
= $229.50
This is the answer
Enter your answer to the nearest tenth of a percent.
Answers
25.2% of the boys surveyed prefer to playinside.
What is a percentage?
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentagechange is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
To find the percentage of boys surveyed who prefer to playinside, we need to look at the frequency table and locate the value for boys who prefer to play inside, which is 0.252.
To convert this value to a percentage, we need to multiply by 100:
= 0.252 x 100
= 25.2%
Therefore,
25.2% of the boys surveyed prefer to playinside.
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43.4%
Is correct. Have a good day!!
Answers
11x - 4 = 2x - 8
11x - 4 (-2x) = 2x - 8 (-2x)
9x - 4 = -8
9x - 4 (+4) = -8 (+4)
9x = -4
9x (/9) = -4 (/9)
x =
11x-4=2x-8~~~Now add 4 to both sides
+4 +4
11x=2x-4~~~~Remove 2x from both sides now.
-2x -2x
9x=-4~~~~Now divide by 9x
÷9x ÷9x
x= -4/9
10⁻⁵ · 10⁴ · 10⁸ = 10⁻⁵⁺⁴⁺⁸ = 10⁷
Answers
The product rule for exponents allows you to add the exponents together when multiplying numbers with the same base. In the example, 10⁻⁵ · 10⁴ · 10⁸, you added -5, 4 and 8 to get 10⁷. This rule is useful in scientific notation for simplifying multiplication.
The product rule for exponents states that for any base (in your case it's 10), the product of two exponents with the same base equals to the base raised to the sum of the exponents. Essentially, you just add the exponents together. If you have 10⁻⁵, 10⁴, and 10⁸, you simply find your answer by doing 10⁻⁵⁺⁴⁺⁸. This is equal to 10⁷, so your initial calculation was correct. An example of this rule can be seen with smaller numbers. If you take 5² (equal to 5x5 which equals 25) and multiply it by 5³ (equal to 5x5x5 which equals 125), using the product rule of exponents, you would add 2 and 3 (the exponents) to get 5⁵ (equal to 3125). To further apply this rule, you could have scientific notation; for multiplying two numbers represented in this system (like 3 × 10⁵ and 2 × 10⁰) you multiply the coefficients (3 and 2) and combine it with 10 raised to the sum of the exponents.
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Answer:The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents
Step-by-step explanation:
Answers
you can't go over budget
cost=cost per backetball times number of basketbals
cost=15 times b
cost≤130
15b≤130
divide both sides by 15
b≤8 and 10/15
b≤8 and 2/3
round down because you can't buy 2/3 basketball
buy 8
the remainder means you have 2/3 of $15 left or $10
Answer:
8$
Step-by-step explanation:
Answers
Answer:
4c < 28
divide by 4 both sides
x < 7