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igomit [66]
3 years ago
10

In order to take honors-level math, Lisa must have an average of 85 on her math tests. Her scores so far are 85, 70, and 98. Wha

t is the
minimum score Lisa needs on the fourth test to get into honors math dass?
A 80
B 84
C. 85
D. 87
Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

d) 87

Step-by-step explanation:

to solve this lets set up the equation

\frac{85+70+98+x}{4} =85\\\frac{253+x}{4} =85

then we multiply 4 on both sides

253+x=340

and subtract 253 on both sides

x=87

to double check take the averages

(87+85+70+98)/4=85

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Why is isolating the y-variable to graph is important
dusya [7]

Answer:

It is the easiest way to graph an equation.

Step-by-step explanation:

Isolating the y variable is also slope-intercept form.

Slope intercept form is the easiest form to use when graphing.

y = mx + b

m is the slope, b is the y-intercept.

it makes it way easier to graph an equation when it is in slope intercept form.


I hope that helps! =)

6 0
3 years ago
Find the value of X in X-X³=17​
Karolina [17]

Answer:

Step-by-step explanation:

Step1: find the interval of roots. Consider -3 and -2

f(-3) = -7

f(-2) = 18 >0

Hence, the root must be on [-3,-2]

Step2:  consider the middle point -2.5

f(-2.5) = 3.875 >0

Then, the root must be on [-3, -2.5]

Step 3: Repeat step 2 by finding the value of f at the middle point -2.75

f(-2.75) = -1.0468

Step 3: Repeat step 2 by finding the value of f at the middle point of the interval [-2.75,-2.5] which is -2.625

f(-2.625) = 1.537 >0

Step4: Repeat step 2 on [-2.75, -2.625]

Repeat step 2 until you got the root which is -2.701

5 0
3 years ago
Shelly can cut a lawn with a riding mower in 22 hours less time than it takes william to cut the lawn with a push mower. if they
umka2103 [35]
Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount  of time Shelly takes working alone
☺☺☺☺
7 0
3 years ago
If two trucks leave a given city on highways making an angle of 132 degrees with one another, traveling at 45 and 55 miles per h
Law Incorporation [45]

Answer:

183 miles to the nearest mile.

Step-by-step explanation:

Distance =Speed X Time

Distance of Truck B from point A=45 X2 =90 miles

Distance of Truck C from point A=55 X2 =110 miles

Angles between them, BAC=132°

We want to find the Distance BC denoted by a between the trucks.

Using Cosine Rule,

a²=b²+c²-2bcCos A

=90²+110²-(2X90X110XCos132°)

=33448.79

a=√33448.79

BC=182.89 miles

The distance between the trucks is 183 miles to the nearest mile.

3 0
3 years ago
Read 2 more answers
Don Fenley bought a motorcycle that cost $1,250. He paid $250 down and the remainder in 18 monthly payments of $60 each. How muc
topjm [15]

Answer:

80

Step-by-step explanation:

60x18= 1080-1000 = 80

4 0
3 years ago
Read 2 more answers
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