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2 years ago

PLEASE HELP ME!!Write the quotient as a mixed number. 46 divided by 9 = 5 R1

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

Answer:

$5\frac{1}{9}$

Step-by-step explanation:

When dividing 46 by 9 quotient is 5 and remainder is 46 - 45 = 1

$5\frac{1}{9}$

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Solve the following using Substitution method 2x – 5y = -13 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

1 year ago

3/4 page per 2 minutes how much of a page in 1 minute?

marishachu [46]

Answer:

3/8

Step-by-step explanation:

0.75/2=x/1. Solve proportion: 0.75*1/2=x x=0.375 or 3/8.

Hope this helps plz mark brainliest :D

8 0

2 years ago

Consider the two functions. F(x)=x^2-8x+7

Tpy6a [65]

(X-7)(x-1)

Minimal x values=7,1
Not the same x value
7 is the greater minimal value

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2 years ago

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probabili

VMariaS [17]

Binomial formula is :
$P ( k = 4 ) = nCk * p ^{k}(1-p) ^{n}= \\ =495 * 0.4 ^{4}* ( 0.6 ) ^{8}=$
= 495 * 0.0256 * 0.0167961 =
= 0.21284 ≈ 0.213
Answer: C ) 0.213

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2 years ago

Read 2 more answers

What percent of 56 is 35 shirts

9966 [12]

62.5% of 56 is 35

Divide 35 and 56:
$35 \div 56 = 0.625$

Convert the decimal to a percentage:
$0.625 \times 100 = 62.5$

8 0

2 years ago