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saveliy_v [14]
3 years ago
5

Tell whether the ratios are proportions: 4/7,24/35

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

To find whether or not the ratios are proportional, simplify. The first ratio is already simplified, so simplify the second one. to do this, find what factors 24 and 35 have in common.

Factors of 24: 1, 2, 3 ,4, 6, 8, 12, 24

Factors of 35: 1, 5, 7, 35

It looks like there are now common factors between 24 and 35. For the ratios to be proportional, they have to have the same value. If 24/35 can't be simplified to 4/7, the factors are not proportional.

So, to answer the question: No, the ratios are NOT proportions. I hope this helps and have a great rest of your day!

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How much will you pay when a $54<br> shirt has a 5% tax?
vladimir1956 [14]

54.00 of subtotal

+2.70 of tax

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$56.70   Total

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The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant
ira [324]
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4 0
3 years ago
How do you add and subtract decimals as easily as you do whole numbers?
777dan777 [17]

If you know how to add and subtract whole numbers, then you can add and subtract decimals! Just be sure to line up the terms so that all the decimal points are in a vertical line.
To add decimal numbers:

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Add each column of digits, starting on the right and working left. If the sum of a column is more than ten, "carry" digits to the next column on the left.
Place the decimal point in the answer directly below the decimal points in the terms.
To subtract decimal numbers:

Put the numbers in a vertical column, aligning the decimal points.
Subtract each column, starting on the right and working left. If the digit being subtracted in a column is larger than the digit above it, "borrow" a digit from the next column to the left.
Place the decimal point in the answer directly below the decimal points in the terms.
Check your answer by adding the result to the number subtracted. The sum should equal the first number.

To add these numbers, first arrange the terms vertically, aligning the decimal points in each term. Don't forget, for a whole number like the first term, the decimal point lies just to the right of the ones column. You can add zeroes to the right of the decimal point to make it easier to align the columns. Then add the columns working from the right to the left, positioning the decimal point in the answer directly under the decimal points in.

To subtract these numbers, first arrange the terms vertically, aligning the decimal points in each term. You can add zeroes to the right of the decimal point, to make it easier to align the columns. Then subtract the columns working from the right to the left, putting the decimal point in the answer directly underneath the decimal points in the terms. Check your answer by adding it to the second term and making sure it equals the first.










· Place value

· Decimal numbers

· Estimating and
rounding

· Adding / subtracting
decimals

· Multiplying decimals

· Dividing decimals

· Percent

· Exponents

· Square roots

· Signed integers

· Adding and
subtracting integers

· Multiplying and
dividing integers

· Properties of integers








First Glance In Depth Examples Workout
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Adding and subtracting decimals
4 0
3 years ago
Read 2 more answers
Can someone please help me?
Katyanochek1 [597]
The matrix represents the system:

-3x+5y=15

2x+3y=-10, which is choice c. 


We can see it more clearly from the way we multiply matrices, as follows:

\[&#10;  \left[ {\begin{array}{cc}&#10;   -3 & 5 \\&#10;    \ 2  & 3 \\&#10;  \end{array} } \right]&#10;\] \cdot  \[&#10;  \left[ {\begin{array}{c}&#10;   x \\&#10;    y \\&#10;  \end{array} } \right]&#10;\]= \left[ {\begin{array}{c}&#10;   -3\cdot x+5\cdot y \\&#10;    2\cdot x+3\cdot y \\&#10;  \end{array} } \right]&#10;\]= \[ \left[ {\begin{array}{c} 15 \\ -10 \\ \end{array} } \right] \]

Answer: C
7 0
3 years ago
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
2 years ago
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