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3 years ago

What is 7x-5 = -2x+13

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

7x - 5 = -2x + 13 Add 2x to both sides
9x - 5 = 13 Add 5 to both sides
9x = 18 Divide both sides by 9
x = 2

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Jake and his dad are making flags for a scouting project.They are going to make(6,12,18) flags . Each flag takes (2/3,3/4,5/6) o

evablogger [386]

Answer:

The total yards of cloth needed for the flags = 28

Step-by-step explanation:

Given:

Jake and his dad are making (6,12,18) different types of flags.

Each flag takes $(\frac{2}{3},\frac{3}{4},\frac{5}{6})$ of a yard of cloth.

To find the total yards of cloth needed in all.

Solution:

Flag A :

Each flag requires = $\frac{2}{3}$ of a yard of cloth

Total number of this flag = 6

Total cloth required for this flag = $\frac{2}{3}\times 6 = 4\ yd$

Flag B:

Each flag requires = $\frac{3}{4}$ of a yard of cloth

Total number of this flag = 12

Total cloth required for this flag = $\frac{3}{4}\times 12 = 9\ yd$

Flag C:

Each flag requires = $\frac{5}{6}$ of a yard of cloth

Total number of this flag = 18

Total cloth required for this flag = $\frac{5}{6}\times 18 = 15\ yd$

Thus, total yards of cloth needed for the flags = $4\ yd+9\ yd+15\ yd =28\ yd$

8 0

4 years ago

Hey Mahfia, please help! Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at

Dafna1 [17]

Answer:

$\huge\boxed{ \red{ \boxed{ \tt{ \frac{ {y}^{2} }{ {10}^{2} } - \frac{ {x}^{2} }{ {12}^{2} } = 1}}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

conic sections
PEMDAS

<h3>tips and formulas:</h3>

$\sf hyperbola \:equation : \\ \sf \frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1$
vertices of hyperbola:(±a,0) and (0,±b) if reversed
$\sf \: asymptotes : \\ y = \pm\frac{b}{a} x$

<h3>given:</h3>

vertices: (0,±10)
the hyperbola equation is inversed since the vertices is (0,±10)
asymptotes: $\pm \frac{5}{6}x$

<h3>let's solve:</h3>

the asymptotes are in simplest and we know b is ±10

according to the question

$y = \sf \frac{5 \times 2}{6 \times 2} x \\ y = \frac{10}{12} x$

therefore we got

a=12
b=10

note: the equation will be inversed

let's create the equation:

$\sf substitute \: the \: value \: of \: a \: and \: b : \\ \sf \frac{ {y}^{2} }{ {10}^{2} } - \frac{ {x}^{2} }{ {12}^{2} } = 1$

3 0

3 years ago

Prove that the point [1,2] is equidistance from the point [4,-2], [5,-1] and [-2,6]

fgiga [73]

Step-by-step explanation:

Proof: equidistance means at an equal distance from two points

so: Take the distance formula and then plug the values in and compare.

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2 years ago

Please helpppppp i will mark you braliest

notsponge [240]

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

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3 years ago

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The quotient of a number r and 7 is no more than 18 inequality?

saveliy_v [14]

Answer:ikkdrrrrr

Step-by-step explanation:

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3 years ago