Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.
Missing part of question
(a) If all matching cards will increase her score by 18, what are the matching cards
(b) If all matching cards will decrease her score by 12, what are the matching cards
See attachment for cards
Answer:
(a) 9 card number 2 or 6 card number 3
(b) 6 card number -6
Step-by-step explanation:
Given
The number on the cards are: 2, 3, -6 and 4
Solving (a): An increment of 18
From the card numbers attached, there are 3 positive numbers and 1 negative number
If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.
Next, for a card number to give an increment of 18; the card number must be a factor of 18.
So, we have:
[tex]\frac{18}{2} = 9[/tex]
[tex]\frac{18}{3} = 6[/tex]
[tex]\frac{18}{4} = 4.5[/tex]
Only 2 and 3 are factors of 18.
So, Natalie cards are: 9 card number 2 or 6 card number 3
Solving (b): A decrement of 12
If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.
Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)
So, we have:
[tex]\frac{-12}{-6} = 2[/tex]
So, Natalie cards are: 6 card number -6
7. Angles that are complementary
add up to 90 degrees. If two
complementary angles are in the
ratio of 4:1. how large is the larger
angle?
Answer:
72 degrees is the larger angle
Step-by-step explanation:
SImple ratio problem
So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.
4*18: 1*18
72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.
HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute
The machine can make __ soda bottles each minute.
Answer:
Step-by-step explanation:
1
make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.
A line has a slope of zero. Which of the following points could this line pass through?
A.(-9, 7) and (9,-7)
B(1, 4) and (3,7)
C. (2,-5) and (6,-5)
D.(1, 2) and (10, 12)
Answer:
C
Step-by-step explanation:
slope 0 means same y
so C (y is -5 for both)
if my answer helps please mark as brainliest.
Answer:
C
Step-by-step explanation:
A line with slope of zero means that the y value doesn't change like the x axis. so we'll need to find points that even though they have different x values, they have the same y value. That. being said C is the answer
Please help me in math
1. x[tex]\\1. x_{1}=-4, x_{2}=-3\\2. x_{1}=-4, x_{2}=9\\3. x_{1}=-5, x_{2}=8\\4. x_{1}=-4, x_{2}=1.5\\5. x_{1}=-4, x_{2}=4\\6. x_{1}=2, x_{2}=4\\7. x_{1}=1.75, x_{2}=1.75\\8.x_{1}=-\sqrt{7}-6 , x_{2}=\sqrt{7} -6\\9. x_{1}=-2, x_{2}=1\\1. x_{1}=-8, x_{2}=8[/tex]=-4, x2=-3
2.
How can this expression be written another way?
30x + 100
Factor using the distributive property and the greatest common factor to write an equivalent expression.
options:
10 (3x + 10)
30 (x + 100)
100 (30x)
100x + 30
Answer:
option 1:
Step-by-step explanation:
10 (3x + 10)
Evaluate the expression (3 + m)^3 , when m=2
Answer:
the answerrrrrrrrrrr is 27+54m+36m^2+8m^3
volume of cylinder in terms of pi
6cm radius
5cm height
Answer: V≈565.49
Step-by-step explanation:
V=πr2h=π·62·5≈565.48668
JT
Evaluate cot
3
0
2-3
3
V2
0 2
V3
3
Answer: D
Step-by-step explanation:
The solution is, the required value is cot(π/3) = √3/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
we know that,
note :
cot a = cosa /sina
here,
so : cot(π/3) = cos(π/3)/sin(π/3)
but : cos(π/3) = 1/2
and sin(π/3) = √3 /2
now, we get,
cot(π/3) = (1/2) / (√3 /2)
= (1/2)×(2/√3 )
= 1/√3
= (1×√3)/( √3 ×√3)
= √3/3
Hence, The solution is, the required value is cot(π/3) = √3/3
To learn more about trigonometric relations click :
brainly.com/question/14450671
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Show me how to solve step by step please
Answer:
188
Step-by-step explanation:
88 + 6= 94
94 + 94 = 188
188 divided by 2 = 94
94 - 6 = 88
88 was how much Paula paid
Find the midpoint of the segment below.
Plz help me
Answer:
0.5 , 1
Step-by-step explanation:
Find the value of t if the value of 3x+5x –2t equals to 8, when x=- 1
Answer:
t=-8
Step-by-step explanation:
-3+-5-2t = 8
-8 -2t = 8
t = -8
PLSS ANSWER WILL GIVE BRAINLIEST IF RIGHT
3 presents.
Reason:
12 divided by 2 is 6, and 18 divided by 3 is also 6, meaning that he will be able to wrap 3 presents.
Answer:
Answer is 3 presents
Step-by-step explanation:
12 centimeter tape used for 2 presents
1 centimeter tape used for [tex]\frac{2}{12}[/tex] presents
18 centimeter tape used for 18 × [tex]\frac{2}{12}[/tex] presents
= 3 presents
In a class there are x amount of students. z amounts of these students are ( y+1 ) years old. The rest of the students are y years old. Write an expression for the sum of all their ages. Simplify.
x = y + z
To simplify,
substitute z = y + 1
x = y + y + 1
x = 2y + 1
A cone with a volume of 1152π cubic meters has a radius of 12 meters. Which of these statements is correct?
Select one:
Its height is two thirds the length of its radius.
The length of its radius is twice its height.
The length of its radius is two thirds its height.
Its height is twice the length of its radius.
Answer:
Step-by-step explanation:
B
Answer: it’s hight is twice the length of its radius
Step-by-step explanation:
Write an equation in point-slope form.
a. m= -3, (-2,-1)
Find the area of the polygon.
Answer:400
Step-by-step explanation: 400
Answer:
Solution given:
diagonal 1=AC=5+5=10 units
diagonal 2=BD=4+5=8units
area of polygon (rhombus)=½*(diagonal 1*diagonal 2)
=½(10*8)=40square units
Area=40square units
what is the greatest common multiple of 96,48,84
Answer: 12
Step-by-step explanation: 96-84=12
I dont really know how i did it I just did.
If there are 420 woman and 330 men what are their %?
Answer:
Answer: Pct women = 56%; pct men = 44%
Step-by-step explanation:
Pct men = total men/total people * 100
men = 750-420 = 330
Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%
.
Pct women = 100% - 44% = 56%
.
Check the answer by checking the percentage of women.
women = 420
Pct women = 420/750 * 100 = 14/25 = 56%
Correct.
.
Answer: Pct women = 56%; pct men = 44%
In Las Vegas, a particular sports bet has about a 30% chance of winning. If the bet wins, the bettor will win 15
dollars. If the bet loses, the bettor will lose 10 dollars.
The expected return of placing one of these bets is -2.50 dollars.
Which of the following statements are true?
Choose all answers that apply:
The average return per bet from 2 of these bets must be exactly -2.50 dollars.
It is possible for a bettor to place 2 of these bets and win both of them.
If a bettor places a large number of these bets, they should expect to average a return of about
-2.50 dollars per bet.
Answer:
b and c
Step-by-step explanation:
i got it right on my khan academy
Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"
Answer:61
Step-by-step explanation:
Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode in the trail for 5 5/6 miles and then rode back home. Which addition sentence shows many miles Gretchen rode in all?
Answer:
85/12. figure out which one the answer is now, just convert 85/12 to a mix number
Step-by-step explanation:
5/4 + 35/6 = 85/12.
Answer:
The correct answer is D
Step-by-step explanation:
Divide. Write your answer as a fraction or a mixed number in simplest form.
3 3/4 divided by 1 1/8
Answer:
I used a calculator.
Step-by-step explanation:
mixed number form 3 1/3
exact form 10/3
What is the sum of the interior angles of the following convex polygon?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.......
Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.
Hope it helps!
mark me as the brainliest.....
Follow me! :)
easy question answer plssss
Answer:
Y = 1
Step-by-step explanation:
Proportional
Answer:
y=1
Step-by-step explanation:
Because they are proportional, the two points have to be equal if they were like a fraction. This means (15,3) would be 15/3 which is equal to 5. The other point is (5,?), so that means that the point will have to be 1. This is because then the point will be equal to 5.
Hope this helps
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry I
Answer:
4/8.1 is the answer.
Step-by-step explanation:
sin Θ = opposite side / hypotenuse
sin ∠F = 4/8.1
Answer: 4/8.1
Step-by-step explanation:
SOH CAH TOA
So son uses opposite and hypotenuse
Opposite from the angle of DFE is 4 and hypotenuse is 8.1 so
sin-1(4/8.1)= angle DFE
hi please help i’ll give brainliest please
Step-by-step explanation:
B ANSWER OOOOOKKKKKKKKK
Describe how to find what value of x must be to minimize the function f(x) = 9x^{2} - 36x + 32 using factoring.
Answer: x=2, f(x)=-4
Step-by-step explanation:
Given
[tex]f(x)=9x^2-36x+32[/tex]
Solving it, add and subtract 4 to it
[tex]\Rightarrow f(x)=9x^2-36x+36-4\\\Rightarrow f(x)=(3x)^2+(6)^2-2\times 3x\times 6-4\\\Rightarrow f(x)=(3x-6)^2-4\\\\\text{here minimum value of }\ (3x-6)^2\ \text{is 0 for x=2}\\\text{so mnimum value of }\ (3x-6)^2-4\ \text{is}\ -4[/tex]
Answer: after you factor use the results (3x-6)^2 - 4 to find the minimum X value but picking a number for the X value to solve to 0.
Step-by-step explanation:
Plug x=2 into the equation and it solves to 0 leave out the -4 because this is the y value
ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?
Answer:
In short, they are all quadrilaterals.
Step-by-step explanation:
Rectangle:
- Every angle equals 90 degrees
- Opposite sides are equal and parallel
Square:
- Every angle equals 90 degrees
- Opposite sides are equal and parallel
- Diagonals within the square are perpendicular
Parallelogram:
- Opposite sides are equal and parallel
- Opposite angles are equal
- Any two angles next to each other have to equal 180 degrees, since it would be a line
Rhombus:
- Opposite angles are equal
- All sides are equal
- Opposite sides are parallel
- Diagonals within the square are perpendicular
- Any two angles next to each other have to equal 180 degrees, since it would be a line
Trapedzoid:
- There is only one pair of parallel lines
Kite:
- There are two pairs of equal signs
- There are two equal angles
- You can look at it like two equal triangles glued together
Really hope this helped you!