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3 years ago

5 2/3 + 7 5/9 ples I nnmed help

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Answer:

Step-by-step explanation:

Solution

=5 2/3 + 7 5/9

=3×5+2/3+9×7+5/9

=17/3+68/9

=119/9

=13.22

Hope it helped you.

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The sum of the interior angles of a polygon is

Crank

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

$(n - 2) \times 180$

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

$(n - 2) \times 180 = 26 \times 90$

Divide through by 90

$2(n - 2) = 26$

Divide through by 2

$n - 2 = 13$

$n = 13 + 2$

$n = 15$

6 0

3 years ago

On a coordinate plane, a dashed straight line with negative slope goes through (0, 1) and (2, negative 2). Everything to the lef

charle [14.2K]

Answer:

$y$

Step-by-step explanation:

The straight line passes through (0,1) and (2,-2).

Equation of a straight line passing through two points (x1,y1) and (x2,y2)

is given by:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$

$y-1=\frac{-2-1}{2-0}(x-0)$

$y=-\frac{3}{2}x+1$

Everything to the left of the line is shaded.

We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.

From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.

LHS=y=0

RHS= $-\frac{3x}{2}+1=1\ (x=0)$

LHS<RHS as 0<1

Hence , the inequality is:

$y$

8 0

3 years ago

Read 2 more answers

Find the distance between the

Dovator [93]

Answer:

$\displaystyle d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{5^2 + 2^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25 + 4}$
[√Radical] Add: $\displaystyle d = \sqrt{29}$

7 0

3 years ago

Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months

lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

$A =P(1+\frac{r}{n})^n*t$

Where

A = Accumulated amount

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)

A = $7100(1+\frac{2.8}{100} )$ ^17

= 7100( 1 + 0.028)^17

= 7100(1.028)^17

= 7100 * 1.599

= 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0

3 years ago

19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p

Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0

3 years ago