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3 years ago

Mathematical phrases

Mathematics

2 answers:

Reil [10]3 years ago

7 0

Answer:

Sum

Difference

product

square root

Quotient

Mashutka [201]3 years ago

7 0

Answer:

PEMDAS

Step-by-step explanation:

P(Arenthesis)

E(xponents)

M(ultiply)

D(Ivide)

A(dd)

S(ubtract)

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Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2

Aleksandr [31]

Answer:

a= $\frac{3}{x^{2} }$

b=5

Step-by-step explanation:

we are given

$\frac{3}{x} }$ + $\frac{5}{x^{2} }$ =ax+ $\frac{b}{x^{2} }$

we will compare both sides of equaion

$\frac{b}{x^{2} }$ = $\frac{5}{x^{2} }$

comparing both sides we get

b=5

and

$\frac{3}{x} }$ =ax

a= $\frac{3}{x^{2} }$

hence

a= $\frac{3}{x^{2} }$

and b=5

4 0

3 years ago

How much does 4 5/7 kg of candy cost if 5/6 kg costs $7.50

Aliun [14]

Answer:

It costs $42.43

Step-by-step explanation:

Lets explain how to solve the problem

- The cost of $\frac{5}{6}$ kilogram of candy is $7.5

- We need to find the cost of $4\frac{5}{7}$ kilogram

We can use the ratio to find the answer

======= Dollar : Kilogram

======= 7.5 : $\frac{5}{6}$

======= c : $4\frac{5}{7}$

By using cross multiplication

∴ c × $\frac{5}{6}$ = 7.5 × $4\frac{5}{7}$

∵ $4\frac{5}{7}$ = $\frac{4*7+5}{7}$

∴ $4\frac{5}{7}$ = $\frac{33}{7}$

∴ c × $\frac{5}{6}$ = 7.5 × $\frac{33}{7}$

∴ c × $\frac{5}{6}$ = $\frac{495}{14}$

Divide both sides by $\frac{5}{6}$

∴ c = $\frac{495}{14}$ ÷ $\frac{5}{6}$

Change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∴ c = $\frac{495}{14}$ × $\frac{6}{5}$

∴ c = $\frac{297}{7}$ = 42.43 dollars

∵ c represents the cost of $4\frac{5}{7}$ kg

∴ It costs $42.43

7 0

3 years ago

Use substitution to solve the system. -5x + 3y = 19 x = 3y - 11

telo118 [61]

Answer:

x = -2

y = 3

Step-by-step explanation:

-5x + 3y = 19

x = 3y - 11

-5x + 3y = 19

-5(3y - 11) + 3y = 19

-15y + 55 + 3y = 19

-15y + 3y + 55 = 19

-12y + 55 = 19

-12y = 19 - 55

-12y = -36

y = -36/-12

y = 3

x = 3y - 11

x = 3(3) - 11

x = 9 - 11

x = -2

5 0

3 years ago

7. What is the volume of the prism? 8 cm 5.8 cm A. 29 cm B. 87 cm3 15.2 cm C. 512.3 cm3 D. 705.3 cm

bija089 [108]

The volume of the rectangular prism is

$V=L\times W\times H$

Where:

L is its length

W is its width

H is its height

From the given figure

L = 15.2 cm

W = 8 cm

H = 5.8 cm

Substitute them in the rule above

$\begin{gathered} V=15.2\times8\times5.8 \\ V=705.28\operatorname{cm}^3 \end{gathered}$

Round it to the nearest tenth

$V=705.3\operatorname{cm}^3$

Answer D

5 0

1 year ago

Three cylinders have bases that are the

lys-0071 [83]

SA: 2pi (r^2)+2pi(r)(h)
In order to find radius (r) of the base you must divide 10 by pi then find the square root of the result
√(10/pi)=r: 1.784cm
h: a) 8.0cm
b) 6.5cm
c) 9.4cm
2pi (3.183)+2pi(1.784)(8)=109.673cm^2
2pi (3.183)+2pi(1.784)(6.5)=92.859cm^2
2pi (3.183)+2pi(1.784)(9.4)=125.366cm^2

7 0

3 years ago