Ask question

Ask question

All categories

3 years ago

7

Write the equation or inequality : in order to take honors level math , Lisa must have an average of 85 on her math tests. Her s

cores so far are 85, 70, and 98. What is the minimum score Lisa needs on the fourth test to get into honors math class ?

1 answer:

Minchanka [31]3 years ago

4 0

Answer:

Lisa must score 89 in fourth test.

You might be interested in

Evaluate the following

IRINA_888 [86]

(a) $[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

Answer:

$[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5*2.5 }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5}{1} ]^{2}$

*canceling 2.5 in numerator and denominator*

$= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925$

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) $[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3} ] ^{2}$

Answer:

$[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\$

*using $[x^{a}]^b = x^{ab}$ *

$= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}$

*Again, using $[x^{a}]^b = x^{ab}$ *

$= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} } \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1$

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0

3 years ago

List the correlation coefficients in order from least to greatest: 0.79,-0.43,-0.4,0.82,0.08

Mars2501 [29]

-0.43,-0.4,0.08,0.79,0.82

6 0

3 years ago

Read 2 more answers

A theater has 1200 seats. Each row has 20 seats. Write and solve and equation to find the number x of rows in the theatre

vfiekz [6]

Answer:

1200÷20=x and x=60

Step-by-step explanation:

60

x 20

---------

1200

8 0

3 years ago

Help me again pls :D sorry for the bother

matrenka [14]

Answer:

A

Step-by-step explanation:

2x2.5x3= 15

2x2.5x4.5=22.5

2.5x3x4=30

2.5x2x4=20

6 0

3 years ago

Read 2 more answers

A new bank account is opened on week 1 with a $200 deposit. After that first week, weekly deposits of $55 are made in the accoun

inysia [295]

Y=55x+200, you multiply the number of weeks by the amount of money, and add 200 because they started with that.

7 0

3 years ago

Read 2 more answers