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2 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]2 years ago

4 0

Answer:

Lisa must score 89 in fourth test.

You might be interested in

What is n in the equation 12 + 12n = -48

Liula [17]

Hello!

To solve an algebraic equation, you must isolate the variable on one side. We’ll begin by restating the given equation:

12 + 12n = -48

Now subtract 12 from both sides of the equation:

12n = -60

Divide both sides by 12:

n = -5

We have now proven that “n” is equal to (-5).

I hope this helps!

3 0

3 years ago

Find the missing side of this right<br> triangle.<br> 19<br> X<br> X =<br> 16<br> ✓[?]

julia-pushkina [17]

Answer:

x = sqrt(105)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

16^2 + x^2 = 19^2

256 + x^2 = 361

x^2 = 361 -256

x^2 =105

Take the square root of each side

sqrt(x^2) = sqrt(105)

x = sqrt(105)

8 0

2 years ago

Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

2 years ago

Harry is riding a train that goes 70 miles an<br> hour. How far will he travel is 3.5 hours?

alexdok [17]

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

4 0

2 years ago

Read 2 more answers

A vendor converts the weights on the packages she sends out from pounds to kilograms (1kg approximately equals 2.2 pounds).

Alexxx [7]

Answer:

a) b) the standard deviation and the mean is affected by the conversion factor as well

c) the mean is displaced by b units

Step-by-step explanation:

for a new variable

Y=a*X , where a= constant (conversion factor= 1 kg/2.2 pounds)

then

p(y)= p(a*X) = p(X)

a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)

mean =μ=a*μₓ

b) σ² = ∑ (Y-μ)²* p(y) = ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²

then

standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ

standard deviation = σ= a*σₓ

then the standard deviation and the mean is affected by the conversion factor as well

c) nevertheless for a displacement b

Y₂=X + b (b= constant= 50 gr)

p(Y₂)= p(X + b) = p(X)

then

mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -

mean =μ=μₓ - b

then the mean is displaced by b units

7 0

3 years ago