The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x + 5y > 80.
If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?
Sydney must have answered at least
7
⇒ 8 questions correctly in the second section of the test.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
8 to 30
A - 4/15
B - 104/9
C - 104/13
D - 72/104
Pleaaase explain how you do it!
The volume of wax used in making a cylindrical candle is given by the formula v=nr2h what is the height of the candle in terms of the volume and radius?
How many watches must he repair to have the lowest cost?
The area of greenland is 840,000 square miles. what is this number in scientific notation?
Final answer:
The area of Greenland in scientific notation is 8.4 x 10⁵ square miles.
Explanation:
The area of Greenland is 840,000 square miles. Writing this number in scientific notation involves expressing it as the product of a number between 1 and 10 and a power of 10.
To convert 840,000 to scientific notation, first identify the coefficient that is between 1 and 10. In this case, it is 8.4. Next, count how many places you move the decimal point to get from 840,000 to 8.4. You move the decimal five places to the left, so the exponent for 10 will be 5. Thus, the scientific notation for 840,000 is 8.4 × 10⁵.
Aisha is buying corn seed packs sold in boxes of 100. She has 400 packs, but she needs a total of 600
Help ME PLEASE
The table below represents ordered pairs of a function. Which change could be made so that the relation in the table is no longer a function
A) Replace (4,3) with (4,5)
B) Replace (-2,3) with (-2,-5)
C) Replace (6,4) with (7,3)
D) Replace (6,4) with (2,5
Solve the inequality -24<×-3-8×
Stacey is selling tickets to the school play. the tickets are $6 for adults and $3 for children. she sells twice as many adult tickets as children's tickets and brings in a total of $360. how many of each kind of ticket did she sell?
The distance between New York City, New York and Los Angeles, California is approximately 4485 kilometers. What is the distance between these two major cities in miles? Use the conversion equivalency of 1 mile = 1.609 kilometers and round to the nearest mile.
Answer:
The answer is 2788 miles.
Step-by-step explanation:
The distance between New York City, New York and Los Angeles, California is approximately 4485 kilometers.
The given conversion rate is:
1 mile = 1.609 kilometers
or 1.609 km = 1 mile.
So, 1 km = [tex]\frac{1}{1.609}[/tex] miles
And 4485 km = [tex]\frac{1}{1.609}*4485[/tex] miles
= 2787.45 miles.
In nearest miles we can round this to 2788 miles.
A person has two times as many nickels as quarters. if the total face value of these coins is $4.55, how many of each type of coin does this person have?
if a triangle has one right angle then the other two angles are complementary
What is 2^3 * 2^2
You don't have to show work
In 2009, the world's largest pumpkin weighed 1,725 kilograms. An average-sized pumpkin weighs 5,000 grams.
The 2009 world-record pumpkin weighs _____ kilograms more than an average-sized pumpkin. (Write your answer as a numeral.)
Answer:
The 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.
Step-by-step explanation:
In 2009, the world's largest pumpkin weighed 1,725 kilograms.
An average-sized pumpkin weighs 5,000 grams.
As the answer is needed in kilograms, we will convert 5000 grams in kilograms.
1 gram = 0.001 kilogram
So, 5000 grams = [tex]5000\times0.001[/tex] =5 kilograms.
Difference between weigh = [tex]1725-5=1720[/tex] kilograms
So, the 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.
The table shows the number of minutes Jalen talks on his mobile phone and the cost of the phone calls. Jalen’s Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?
Answer:
[tex]y=0.05x[/tex]
Step-by-step explanation:
Given :
x Cost, y
150 $7.50
220 $11.00
250 $12.50
275 $13.75
To Find: If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?
Solution:
To find equation we will use two point slope form.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(150,7.50)[/tex]
[tex](x_2,y_2)=(220,11.00)[/tex]
Substitute the values in the formula.
[tex]y-7.50=\frac{11-7.5}{220-150}(x-150)[/tex]
[tex]y-7.50=0.05(x-150)[/tex]
[tex]y-7.50=0.05x-7.50[/tex]
[tex]y=0.05x[/tex]
Hence the equation which represents the variation is [tex]y=0.05x[/tex]
find x and y
x+y=5
x=y+7
1st equation: x +y =5
2nd equation: x = y +7
replace x in 1st with 2nd
y +7 +y =5
2y+7 =5
2y =-2
y = -1
now replace y in 2nd with -1
x = -1 +7
x = 6
answer:
x = 6
y = -1
Graph the equation
Do number 25,26,27
Solve for x. -x + 4 = 32 x = -36 x = -28 x = 28 x = 36
Simplify the product.
8x2(4x2 + 4y6)
a. 32x4 + 32x2y6
b. 12x4 + 12x2y6
c. 32x4 + 32xy8
d.12x4 + 12x2y6
Answer:
A
Step-by-step explanation:
My number is a multiple of 2 & 7 my number is less than 100 but greater than 50 my number is the product of three prime numbers what number am i?
There is a step missing from the solution below. Which equation is the missing step?
P=17-√0.025x+7
25=17-√0.025x+7
8=-√0.025x+7
?
57=0.025x
2280= x
A. 64=0.025x+49
B. 8=0.025x+7
C. -8= √0.025x+7
D. 64=0.025x+7
Answer:
option: D is the correct answer.
( D. 64=0.025 x+7 )
Step-by-step explanation:
We are given step as:
[tex]P=17-\sqrt{0.025x+7}\\\\25=17-\sqrt{0.025x+7}\\\\8=-\sqrt{0.025x+7}------(1)[/tex]
?
57=0.025x
-----------(2)
2280= x.
We are asked to find the missing step.
Clearly after equation (1)
They have squared the equation both side to obtain:
[tex]64=0.025x+7[/tex]
and then they took the constant term to the left hand side to obtain equation (2).
[tex]64-7=0.025x\\\\57=0.025x[/tex]
Hence, the correct option is:
Option: D
D. 64=0.025 x+7
Answer: 64=0.025x+7
Step-by-step explanation:
a p e x
Find measure of angle d A. 122 degrees B. 61 degrees C. 238 degrees D. Not enough information
Answer:
B. [tex]61^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a quadrilateral. We are asked to find the measure of angle D.
We can see that angle A and angle D are equal, so we can represent measure of both angles as [tex]2D[/tex].
We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:
[tex]2D+98^{\circ}+140^{\circ}=360^{\circ}[/tex]
[tex]2D+238^{\circ}=360^{\circ}[/tex]
[tex]2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}[/tex]
[tex]2D=122^{\circ}[/tex]
[tex]\frac{2D}{2}=\frac{122^{\circ}}{2}[/tex]
[tex]D=61^{\circ}[/tex]
Therefore, the measure of angle D is 61 degrees and option B is the correct choice.
Prove n choose k equals (n choose k - 1) (n-k+1/k)
Triangle 1 is transformed as shown in the diagram, resulting in triangle 3. Describe the transformations.
A) dilation, then reflection
B) rotation, then translation
C) reflection, then translation
D) translation, then reflection
Answer:
D) translation, then reflection
Step-by-step explanation:
First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.
So, the correct answer is - translation, then reflection
In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.
If the greatest integer function is called the floor function because it rounds any number down to the nearest integer, what would you presume about the ceiling function?
for example--
If -2 ≤x <-1 then value of function is -2
If -1 ≤x < 0 then value of function is -1
If 0 ≤x < 1 then value of function is 0
If 1 ≤x < 2 then value of function is 1
and so on.
Similarly the least integer function which is also known as a ceiling function rounds any number up to the nearest integer.for example--
If -2 < x ≤ -1 then value of function is -1
If -1 < x ≤ 0 then value of function is 0
If 0 < x ≤ 1 then value of function is 1
If 1 < x ≤ 2 then value of function is 2
and so on.
Solve the equation 3a - 2b + 7 = 4a + 10 for a. Then solve the equation for b. I need all the steps tho. Does anyone know it?
I need help!! can someone please help me
Answer:
D
Step-by-step explanation:
The missing step is to perform the inverse of a square root by squaring both sides of the equation. This means to multiply 18*18=324 and the square root expression leaving just the inside untouched. The correct step is D.
Answer:
answer is d
Step-by-step explanation:
solve for the variable r in this equation.
[tex] s=2 \pi rh[/tex]
Please and thanks! Also, it would help if you explained how you got your answer! (: ^-^
What is the equation for a circle centered at the origin
Answer: The equation of the circle is [tex]x^2+y^2=r^2.[/tex]
Step-by-step explanation: We are given to write the equation of a circle centered at the origin.
We know that the standard equation of a circle with center at the point (g, h) and radius 'r' units is given by
[tex](x-g)^2+(y-h)^2=r^2~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The co-ordinates of the origin are (0, 0).
So, if the center of the circle is at the origin, then we have
(g, h) = (0, 0).
Therefore, from equation (i), we have
[tex](x-0)^2+(y-0)^2=r^2\\\\\Rightarrow x^2+y^2=r^2.[/tex]
Thus, the required equation of the circle is [tex]x^2+y^2=r^2.[/tex]
How to calculate variance of negative binomial distribution?