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Gekata [30.6K]
3 years ago
7

Thanh has scores of 54, 83, 67, and 73 on his first four math exams. What score must he make on the fifth exam to have an averag

e of 70 or better for the five exams?
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
To solve this, you would set up the equation to find the arithmetic mean of the data. This equation is (53+83+67+73+x)/5=70, where x=the score of the fifth exam. First, you combine the constants to get (276+x)/5=70. Then, multiply both sides by 5 to get rid of the denominator, to give you 276+x=350. Then subtract 276 from each side to get x=74. So, Thanh needs to score a 74 on his last exam to get a 70 in the class.
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Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right
Ivan

The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

<h3>What is a factor of polynomial?</h3>

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

x^2+ 3x-18=(x+  \;\;)(x-\;\;)

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
1 year ago
A recipe has a ratio of 2 cups of sugar to 6 cups of flour. How many cups of flour are used for each cup of sugar in the recipe?
statuscvo [17]
The ratio 2 to 6 can be reduced to 1 to 3. That means for every 3 cups of flour there is one cup of sugar. 
6 0
3 years ago
Read 2 more answers
What is the value of f(3)?
Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

5 0
2 years ago
Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to
Levart [38]
The answer is 98 small and 57 large cups.

s - the number of small cups
l - the number of large cups

<span>Ashley sold a total of 155 cups: s + l = 155
</span><span>Ashley earned</span><span>for $265: 1.25 * s + 2.50 * l = 265

</span>s + l = 155
1.25 * s + 2.50 * l = 265
________
s = 155 - l
1.25 * s + 2.50 * l = 265
________
1.25 * (155 - l) + 2.50 * l = 265
193.75 - 1.25 * l + 2.50 * l = 265
193.75 + 1.25 * l = 265
1.25 * l = 265 - 193.75
1.25 * l = 71.25
l = 71.25 / 1.25
l = 57

______
s = 155 - l
l = 57

s = 155 - 57
s = 98

5 0
2 years ago
Solve the system ... y=3x-8 and y=-9x+4
natita [175]
1] y - 3x = -8
[2] y + 9x = 4

-3x + y = -8 9x + y = 4

Solve equation [2] for the variable y


[2] y = -9x + 4

// Plug this in for variable y in equation [1]

[1] (-9x+4) - 3x = -8
[1] - 12x = -12
// Solve equation [1] for the variable x


[1] 12x = 12

[1] x = 1
// By now we know this much :

y = -9x+4
x = 1
// Use the x value to solve for y

y = -9(1)+4 = -5

{y,x} = {-5,1}
7 0
2 years ago
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