Solve the inequality. Graph the solution.
z - 4.7 ≥ -1.6

Answer:-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 78x from both sides.

Step 3: Add 30 to both sides.

Step 4: Divide both sides by -30.

x=−2

The expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Given ;

8/9(54x−36)+2=−34(−40+16x)+90x

First we need to use the distributive property

48x-32+2=30-12x+90

Now then add or subtract like terms,

48x-30=30+78x

Then subtract 48x

-30=30 +30x

Now, then -30

-60=30x

then multiply by 30

We get the value of x

x=−2

Therefore, the expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.

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Final answer:

Sarah estimated that she could make at least 4,000 bracelets from 214 bags of beads by simplifying the calculation to 200 bags with enough beads for 20 bracelets each. Her estimate was conservative, as the calculation of 214 bags multiplied by 22 bracelets per bag totals 4,708 bracelets, which is greater than her estimate.

Explanation:

To critique Sarah's reasoning, we need to compare her estimate with the actual number of bracelets that can be made with the beads she has. She has 214 bags of beads, each with enough beads for 22 bracelets. To find the actual number of bracelets possible, we multiply the number of bags by the number of bracelets each bag can make:

214 bags × 22 bracelets per bag = 4,708 bracelets.

Sarah estimated that there were enough beads for at least 4,000 bracelets, based on the approximation that 200 bags with enough beads for 20 bracelets each would yield 4,000 bracelets. Although her estimation method simplifies the calculation by rounding down to manageable numbers, the actual total (4,708 bracelets) is greater than her estimate. By using this estimation method, Sarah has effectively ensured she will have more than enough beads for her classes, as her estimate is lower than the actual number.

Dominic's total earnings for the week are calculated by adding his fixed salary of $285 to his commission, which is 8% of his sales. The commission on $4,213 worth of sales is $337.04, resulting in total earnings of $622.04.

The question requires us to calculate Dominic's total earnings for the week based on his fixed salary and the commission he makes from sales. Dominic earns a fixed amount of $285 per week plus an 8% commission from his sales. To find his total earnings, we need to calculate his commission from the $4,213 worth of merchandise he sells.

Firstly, we convert the 8% commission rate into decimal form by dividing by 100, which gives us 0.08. Then, we multiply the total sales amount by this decimal to find the commission amount:

Next, we add the commission to Dominic's fixed salary to get his total earnings for the week:

Therefore, Dominic's total earnings for the week will be $622.04.

Final answer:

To express [tex]1.230 \times 10^3[/tex] as a decimal, you move the decimal point three places to the right, resulting in the number 1230.

Explanation:

The question asks how the number [tex]1.230 \times 10^3[/tex] should be properly expressed as a decimal. To convert from scientific notation to decimal form, we multiply the numerical part of the expression by 10 raised to the power indicated by the exponent. In this case, 1.230 is multiplied by  [tex]10^3,[/tex] which means 1.230 needs to be multiplied by 1000 (because 103 = 1000). Therefore, we move the decimal point three places to the right (since the exponent is positive), transforming  [tex]1.230 \times 10^3[/tex] into 1230.

The written form of 7.007 is "seven and seven thousandths." It is derived from the digit 7 representing the units place, and the last digit 7 representing the thousandths place.

The written form of 7.007 is "seven and seven thousandths." To understand the structure of this decimal:

The digit 7 before the decimal point represents the units place, or 'seven'.

The first digit 0 after the decimal point represents the 'tenths' place, which is zero in this case.

The second digit 0 after the decimal point represents the 'hundredths' place, which is also zero.

The third digit 7 after the decimal point is in the 'thousandths' place, which means we have seven thousandths.

Combining these, we get the phrase "seven and seven thousandths," which is the written form of the number 7.007.

Matrix-chain-multiply is a recursive algorithm used to find the optimal matrix multiplication for a chain of matrices.

Matrix chain multiplication is a dynamic programming problem that aims to find the most efficient way to multiply a chain of matrices. We can solve this problem using a recursive algorithm called matrix-chain-multiply.

The algorithm takes four parameters: the matrix chain a, an array s to store the optimal split points, and indices i and j that determine the subchain to be multiplied. The base case of the recursive algorithm is when i and j are equal, in which case we simply return a[i].

For any other case, we iterate through all possible split points and recursively calculate the number of scalar multiplications required. We then select the split point that minimizes the required scalar multiplications. The overall complexity of the algorithm is O(n^3), where n is the number of matrices in the chain.

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When you cut 20 sandwiches into thirds, you will end up having 60 pieces of sandwiches.

The question you're asking requires a simple multiplication. Given that you have 20 sandwiches and you're cutting each sandwich into thirds, you need to multiply the number of sandwiches (20) by the number of cuts (3). The equation is 20 sandwiches * 3 pieces/sandwich.

So, when you multiply 20 by 3, you end up with a total of 60 pieces of sandwich. Therefore, after cutting all the sandwiches into thirds, you should have 60 pieces of sandwich for the party.

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Answer:

(C)

Step-by-step explanation:

The given expression is :

[tex]0.00055[/tex]

which on simplifying, we get

[tex]\frac{55}{100000}=55{\times}10^{-5}[/tex]

The given expression can be easily rewritten as:

[tex]5.5{\times}10^{-4}[/tex] and [tex]0.55{\times}10^{-3}[/tex]

but [tex]5.5{\times}10^{4}=55000{\neq}0.00055[/tex]

Thus, Option (C) is the expression which is not equal to the given expression.

Answer:

[tex]C=0.2RA+0.3A[/tex]

Step-by-step explanation:

To solve the equation [tex]R=5(\frac{C}{A}-0.3)[/tex] for [tex]C[/tex] you must:

[tex]\mathrm{Switch\:sides}\\\\5\left(\frac{C}{A}-0.3\right)=R[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5\left(\frac{C}{A}-0.3\right)}{5}=\frac{R}{5}[/tex]

[tex]\mathrm{Simplify}\\\\\frac{C}{A}-0.3=\frac{R}{5}[/tex]

[tex]\mathrm{Add\:}0.3\mathrm{\:to\:both\:sides}\\\\\frac{C}{A}-0.3+0.3=\frac{R}{5}+0.3[/tex]

[tex]\mathrm{Simplify}\\\\\frac{C}{A}=0.2R+0.3[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}A\\\\\frac{CA}{A}=0.2RA+0.3A[/tex]

[tex]\mathrm{Simplify}\\\\C=0.2RA+0.3A[/tex]

Answer:

i would say part to whole

Step-by-step explanation:

The correct answer is A. (0,5)

Answer:

(goh) (4) = 7

Step-by-step explanation:

g(x) =5x-3 and h(x) = sqrt x

[tex]g(x)= 5x-3[/tex] and [tex]h(x)= \sqrt{x}[/tex]

WE need to find (g o h)(4)

[tex](g o h)(x) = g( h(x))[/tex]

Plug in h(x) in g(x)

we know  [tex]h(x)= \sqrt{x}[/tex]

Plug it in g(x)

[tex](g o h)(x) = g( h(x))=g(\sqrt{x})[/tex]

Now plug in sqrt(x) in g(x)

[tex](g o h)(x) = g( h(x))=g(\sqrt{x})= 5\sqrt{x} - 3[/tex]

To find (g o h)(4), plug in 4 for x

[tex](g o h)(4) = g( h(4))=g(\sqrt{4})= 5\sqrt{4} - 3= 5(2)-3= 7[/tex]

(goh) (4) = 7