2X + 4Y = 100 is the equation.
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Let's assume that X is the quantity of multiple-choice questions and Y is the quantity of short-answer questions.
Given that the short-answer questions are worth four points and the multiple-choice questions are for two, the equation is 2X + 4Y = 100.
Thus the equation for 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points where x represent the number of multiple-choice questions, and let y represent the number of short-response questions.
2X + 4Y = 100.
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Using 3.14 for n, what is the volume, to the nearest tenth, of a cone that has a height and of 16 feet and a base with radius 5 feet
Answer: 418.7
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/geometry-solids/cone.php
Name the quadrilateral that has a right angle and four congruent sides.
A. Parallelogram
B. Rectangle
C. Rhombus
D. Square
Answer:
D. Square
It is the only one with all right angles and sides the same length
Someone help please !!
Answer:
what grade is this?
44% of what number is 11?
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How many ten thousand are there in 50,000
Answer:
5 ten thousands
Step-by-step explanation:
Ten thousands: 10,000
So...
50,000/10,000=5
5 ten thousands
Why is it easier to add fractions when the denominators are the same?
Answer:
so you wont have to find the LCD (least common denomonatoir )
Step-by-step explanation:
In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.
Answer:
<P = 56 degrees
Step-by-step explanation:
Given the following
m<R = 90 degrees
QR = 61feet = Adjacent
RP = 90 feet= Opposite
Required
tan<P = opp/adj
Tan<P = 90/61
<P = arc tan (90/61)
<P = arctan 1.4754
<P = 55.9
<P = 56 degrees to the nearest degree
Find the 53rd term of the arithmetic sequence -12, -1, 10
440 is the answer
Tn=a+(n-1)d
Tn=53
a= -12
n=53
d= 11
-12+(53-1)11 = 440
Answer:
560Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
Since we're finding the 53rd term
a = - 12
n = 53
d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11
d = 11
So we have
A(53) = - 12 + (11)(53 - 1)
= - 12 + 11(52)
= -12 + 572
= 560
We have the final answer as
560Hope this helps you
21 = -3c + 7 -5c -2
i need help with this multi step equation question
Answer:
c=-2
Step-by-step explanation:
Subtracting fractions with unlike denominators
Answer:
[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
LCD(9/4, 5/10) = 20
[tex](\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?[/tex]
Complete the multiplication and the equation becomes
[tex]\frac{45}{20} - \frac{10}{20}[/tex]
The two fractions now have like denominators so you can subtract the numerators.
Then:
[tex]\frac{45 - 10}{20} = \frac{35}{20}[/tex]
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using
GCF(35,20) = 5
[tex]\frac{35 / 5 }{20 / 5} = \frac{7}{4}[/tex]
The fraction
[tex]\frac{7}{4}[/tex]
is the same as
7 ÷ 4
Therefore:
[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]
Apply the fractions formula for subtraction, to
[tex]\frac{9}{4} - \frac{5}{10}[/tex]
and solve
[tex]\frac{(9 * 10)- (5* 4) }{4 * 10}[/tex]
[tex]= \frac{90-20}{40}[/tex]
[tex]= \frac{70}{40}[/tex]
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10
[tex]\frac{70/ 10 }{40 / 10} = \frac{7}{4}[/tex]
Convert to a mixed number using
long division for 7 ÷ 4 = 1R3, so
[tex]\frac{7}{4} = 1\frac{3}{4}[/tex]
Therefore:
[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]
Plz help a person in need :)
Step-by-step explanation:
You have 90° angle and you will get x if you:
x=90°-25°
x=65°
answer:
x= 60 degrees
Step-by-step explanation:
90-25= 65
Looke
ook at the inequality below.
-84-2v <-46
Which of the following possible
values for v would make this
inequality truc?
A -13, -5,0,3,4
B -19, -6, -1,3,6
C -46, -23, 0, 23, 46
D-60, -30, -10, 5, 25
A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
The question is incomplete:
A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
She sold 4.86 kg of pears at the farmer's market.
Step-by-step explanation:
With information provided, you know the amount of kilograms of apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:
2/5*8.1=3.24 kg
Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:
8.1-3.24=4.86 kg
According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.
please help me i really need the answer to this question
(06.02)
A scatter plot and a possible line of best fit is shown:
A scatter plot is shown. Data points are located at 2 and 3, 4 and 3, 4 and 5, 6 and 5, 6 and 6, 8 and 7. A line passes through 1 and 1 connecting to 8 and 7.
Is the line of best fit accurate for the data shown? (4 points)
Group of answer choices
Yes, because it touches the y-axis
Yes, because it passes through the center of the data points
No, because the line does not touch any points
No, because the line should touch every point
Answer:
B. Yes, because it passes through the center of the data pointsStep-by-step explanation:
Refer to attached.
The given points are plotted and the line of best fit is added:
y = 6/7x + 1/7From the graph It is clear that the line passes through the center of the data points.
Correct choice is B
Answer:
Step-by-step explanation:
Answer B!
6) Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Answer:
Step-by-step explanation:
Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Factor completely:
3x2 - 75
Answer:
3(x + 5)(x − 5)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula:
a² − b² = (a + b)
(a − b)
where a = x and b = 5.
3(x + 5)(x − 5)
Or
Search it up for a more detailed answer through Goo gle.
At a local toy store, extra-large stuffed bears had a price of $40 each.
In December, the price was raised by 30%. In January, the price was
lowered by50%. What is the price of an extra-large toy stuffed bear now?
Answer:
26
Step-by-step explanation:
40x30%=12
40+12=52
52x50%=26
At a local toy store, extra-large stuffed bears had a price of $40 each.
The price of an extra-large toy stuffed bear is $26.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
At a local toy store, extra-large stuffed bears had a price of $40 each.
In December, the price was raised by 30%.
40 x 30%
= 1200/100
= 12
40 + 12 = 52
In January, the price was lowered by 50%.
52 x 50%
=2600/100
= 26
Thus, the price of an extra-large toy stuffed bear is $26.
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please help me please will give brainliest
Answer:
it's the 3rd option (eeeexxxxttteeennndddeeerrr)
Answer:
the correct answer is c i hoped this helped
the cost of a customer smartphone bill can be modeled by the equation c=10g+50
Answer:
c=10(g+5)
Step-by-step explanation:
Given that,
The cost of customer smartphone bill is given by the equation as follows :
c=10g+50
Where
g is the number of gigabits of data the customer per month
We need to factor this cost polynomial
The common between 10 and 50 is 10
Taking 10 common. So,
c=10(g+5)
Hence, the required factor is equal to c=10(g+5).
Which greatest integer function matches the graph?
A) f (x) = -[x] + 1
B) f(x) = [x] + 1
C) f(x) = [x] - 1
D) f(x) = [x]
twenty and thirty-six thousandths in standards form
Answer:
twenty and thirty-six thousandths in standards form is 20.036
Answer:
20.006
Step-by-step explanation:
I think this is what you need but not a lot of info. sorry if it's not
What is 7.37 as a fraction
Answer:
737/100
Step-by-step explanation:
PLS HELP! I WILL GIVE SOOOOO MANY POINTTSSSS and a brainly!!!
Answer:
5
Step-by-step explanation:
You have to remember :
125
45
16
What is the selling price per widget as a function of the
number of widgets produced, and what should the
selling price be if 15 widgets are produced?
Answer:
1240 widgets
Step-by-step explanation:
The value of the function at 870, the local maximum, is
= -0.02(870)2 + 34.80(870) - 4700
= -0.02(756900) + 30276 - 4700
= -15138 + 25576
= 10438
So the vertex is (870, 10438)
The cost t the company to produce 870 widgets is
C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224
So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.
(10438 + 9224)/870 = 19662/870 = $22.60
P(x) = 7700
- 0.02x2 + 34.80x - 4700 = 7700
-0.02x2 + 34.80x -12400 = 0
x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)
x = [-34.80 ± √(1211.04 - 992)]/(-0.04)
x = (-34.80 ± √219.04)/(-0.04)
x = (-34.80 ± 14.8)/(-0.04)
x = 870 ± 370
so, $7700 in profits will be earned at either 500 widgets or 1240 widgets
Applying Math
4. Explain Look at the
problem about the jogger.
Why does (3 m/s)
become (9 m/s2)?
9. The gradient of the curve y=kx⁴ at the point x = 2 is 128. Find the value of k.
Answer:
k = 4
Step-by-step explanation:
Here, we want to find the value of k
Mathematically, the gradient of a curve is same as the first derivative
so the first derivative here is;
dy/dx = 4kx^3
Now, the value of x here is 2 while the value of y is 128
Substituting these values;
128 = 4k(2)^3
128 = 32k
k = 128/32
k = 4
Name the two angles adjacent to 21 below:
<1
<4
<2
<3
Answer:
∠4 & ∠2
Step-by-step explanation:
adjacent angles:
HELP ASAP THIS IS DUE IN A LIVE CLASS DONT GUESS ITS QUESTION 4
Answer:
2 answers
Step-by-step explanation:
factor: 2π(hr+π)
evaluate: 2π(hr+π)
hope that helps
Directions: Find the complemen
ANGLE
EXAMPLE: 54°
1. 63°
2. 87°
3. 45°
4. 72°
5. 5°
Given:
The angles are:
Example [tex]54^\circ[/tex]
1. [tex]63^\circ[/tex]
2. [tex]87^\circ[/tex]
3. [tex]45^\circ[/tex]
4. [tex]72^\circ[/tex]
5. [tex]5^\circ[/tex]
To find:
The complimentary angle of the given angles.
Solution:
If two angles are complimentary, then their sum is 90 degrees.
Example: Let x be the complimentary angle of [tex]54^\circ[/tex], then
[tex]x+54^\circ=90^\circ[/tex]
[tex]x=90^\circ -54^\circ[/tex]
[tex]x=36^\circ[/tex]
Similarly,
1. The complimentary angle of [tex]63^\circ[/tex] is:
[tex]90^\circ -63^\circ=27^\circ[/tex]
2. The complimentary angle of [tex]87^\circ[/tex] is:
[tex]90^\circ -87^\circ=3^\circ[/tex]
3. The complimentary angle of [tex]45^\circ[/tex] is:
[tex]90^\circ -45^\circ=45^\circ[/tex]
4. The complimentary angle of [tex]72^\circ[/tex] is:
[tex]90^\circ -72^\circ=18^\circ[/tex]
5. The complimentary angle of [tex]5^\circ[/tex] is:
[tex]90^\circ -5^\circ=85^\circ[/tex]
Therefore, the complimentary angles of [tex]54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ[/tex] are [tex]36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ[/tex] respectively.
2x + 46 + 3x - 6
I forgot how to do math
Answer: hope this helps
Step-by-step explanation:
5 (x + 8)
Root:
x = -8
Derivative:
d/dx(2 x + 46 + 3 x - 6) = 5
Indefinite integral:
integral(40 + 5 x) dx = (5 x^2)/2 + 40 x + constant
Answer:
5x-40=0
5x=40
x=40/5
x=8