Answer:
No
Step-by-step explanation:
Reduce each fraction to find if they are equal to the same ratio.
2/4 reduces to 1/2
14/20 reduces to 7/10
They do not form a proportion.
Answer:
No
Step-by-step explanation:
2/4 reduced is 1/2
14/20 reduced is 7/10
1/2 is not equal to 7/10
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
1. >
2.>
3.>
4.>
5.<
6.<
7.>
8.<
b.
1.>
2.<
3.>
4.<
5.>
6.>
7.>
8.>
Which of the following equations describes the graph?
1/2x^2 - 2x +1
Step-by-step explanation:
it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)
as it is -1 there has to be a negative sign in equation
so the right one is 2nd one
Answer:
Step-by-step explanation:
the graph is clearly that of a parabola that opens up and has its vertex at (2, -1). The coefficient of x^2 must be + because the parabola opens up.
Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:
y + 1 = a(x - 2)^2 or y = a(x - 2)^2 - 1
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12x-15
Step-by-step explanation:
In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked) then subtracted 15, which was the fine she had to pay.
Answer:
12x-15
Step-by-step explanation:
I took the test
2x - 5y = 10
solve for Y
i’ll give brainliest
Answer:
y = 2/5x - 2
Step-by-step explanation:
Step 1: Subtract 2x on both sides
-5y = 10 - 2x
Step 2: Divide everything by -5
y = -2 + 2/5x
Step 3: Rearrange
y = 2/5x - 2
Match each unit rate to the graph that represents it. 1/5. 2/5. 3/7. 1/3. 2/9.
Answer:
First graph = 2/9
Second graph = 3/7
Third graph = 1/5
Step-by-step explanation:
Unit rate can be defined as number of y units changed with respect to the number of x units changed.
Consider the first graph, we can see that for x=9, the change that occurs in y is equals to 2 units. So its units can be given as 2/9
Consider the second graph, we can see that for x=7, the change that occurs in y is equals to 3 units. So its units can be given as 3/7
Consider the third graph, we can see that for x=5, the change that occurs in y is equals to 1 units. So its units can be given as 1/5.
Find the value of the trigonometric ratio, tan X.
Answer:
A. 24/7
What are sine, cosine, and tangent?
SOH - CAH - TOA
sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent (that is not hypotenuse)
Step-by-step explanation:
tanX = ZY/XY = 48/14 = 24/7
Answer:
24/25
Step-by-step explanation: opposite side
The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25
adjacent side
What is the answer for x
Answer:
x = 4
Step-by-step explanation:
By the Alternate Exterior Angles Theorem, we know that the 2 given angles are equal to each other:
22x + 2 = 90
22x = 88
x = 4
Answer:
x = 4
Step-by-step explanation:
When lines are parallel, alternate exterior angles are congruent. That means that the bottom left angle is 90 degrees. Thus, 22x + 2 = 90. Basic math then proves that x = 4.
Type the correct answer in each box. If necessary use / for fraction bars.
Answer: Bill has 12 cards
Alan and Calvin both have 19 cards each.'
Step-by-step explanation:
Let x= Number of cards Bill has.
Then Alan has cards = [tex]2\dfrac{1}{2}x-11=\dfrac{5}{2}x-11[/tex]
Calvin has cards = [tex]1\dfrac{1}{2}x+1=\dfrac{3}{2}x+1[/tex]
Since Alan and Calvin has equal number of cards.
Then, [tex]\dfrac{5}{2}x-11=\dfrac{3}{2}x+1[/tex]
[tex]\Rightarrow\ \dfrac{5}{2}x-\dfrac{3}{2}x=1+11\\\\\Rightarrow\ \dfrac{5-3}{2}x=12\\\\\Rightarrow\ \dfrac{2}{2}x=12\\\\\Rightarrow\ x=12[/tex]
So, Bill has 12 cards
Then, Alan has cards = [tex]\dfrac{5}{2}(12)-11=30-11=19[/tex]
Calvin has cards = [tex]\dfrac{3}{2}(12)+1=18+1=19[/tex]
So, Alan and Calvin both have 19 cards each.
If P(x)= x3 –x2+1, Then P(0)+P(1) =
Answer:
[tex]p(0) + p(1) = 2[/tex]
Step-by-step explanation:
=> [tex]p(x) = x^3-x^2+1[/tex]
Putting x = 0 in p(x)
=> [tex]p(0) = (0)^3-(0)^2+1[/tex]
=> [tex]p(0) = 0-0+1[/tex]
=> [tex]p(0) = 1[/tex]
Putting x = 1 in p(x)
=> [tex]p(1) = (1)^3-(1)^2+1[/tex]
=> [tex]p(1) = 1-1+1[/tex]
=> [tex]p(1) = 1[/tex]
So,
=> [tex]p(0)+p(1) = 1+ 1[/tex]
=> [tex]p(0) + p(1) = 2[/tex]
The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
3. If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypotenuse in centimeters?
O A. 573
OB. 5
C.3V5
D. 9
Answer:
C.
Step-by-step explanation:
if you have a square that has sides measuring 5 inches what is the measure of its diagonal
Answer:
5√2 Inches
Step-by-step explanation:
By definition of a square, all it's sides are the same measurement (typically signified by the variable s on all sides).
In a triangle (as with a intersection from one corner to the other (diagonal), It would create a right triangle. Remember, the two leg sides are the same measurement (typically placed as 1). There is one triangle side measurement rule:
1 , 1 , √2
Plug in the corresponding numbers to the corresponding units. the 5 inches is a side (not the hypotenuse), so it belongs in the 1:
1 x 5 = 5
1 x 5 = 5
√2 x 5 = 5√2
The measurement of it's diagonal (hypotenuse) is 5√2.
~
Answer:
5[tex]\sqrt{2}[/tex].
Step-by-step explanation:
The angles of a square are right angles. If you draw a diagonal, you'll see that it forms a right triangle. Since the sides of a square are congruent, the right triangle will be a 45-45-90 right triangle. The hypotenuse of a 45-45-90 right triangle is [tex]\sqrt{2}[/tex] times the length (5) .
The measure of the hypotenuse is 5[tex]\sqrt{2}[/tex].
The hypotenuse = diagonal.
The diagonal is 5[tex]\sqrt{2}[/tex].
Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?
Answer:
The expected value of the points earned on a single roll in this game is [tex]\dfrac{1}{6} = 0.1667[/tex] .
Step-by-step explanation:
We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.
Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).
Here, the prime numbers are = 1, 2, 3 and 5
Numbers which are not prime = 4 and 6
This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.
Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.
Note that the probability of getting any of the specific number on the dice is [tex]\dfrac{1}{6}[/tex] .
Numbers on the dice (X) P(X)
+1 [tex]\frac{1}{6}[/tex]
+2 [tex]\frac{1}{6}[/tex]
+3 [tex]\frac{1}{6}[/tex]
-4 [tex]\frac{1}{6}[/tex]
+5 [tex]\frac{1}{6}[/tex]
-6 [tex]\frac{1}{6}[/tex]
Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.
Now, the expected value of X, E(X) = [tex]\sum X \times P(X)[/tex]
= [tex](+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}[/tex]
= [tex]\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}[/tex]
= [tex]\frac{1+2+3-4+5-6}{6}[/tex]
= [tex]\frac{11-10}{6}= \frac{1}{6}[/tex]
Hence, the expected value of the points earned on a single roll in this game is [tex]\frac{1}{6} = 0.1667[/tex] .
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. The endpoints of AB are A(1,4) and B(6,-1). If point C divides AB in the ratio 2 : 3, the coordinates of point C are (_,_). If point D divides AC in the ratio 3 : 2, the coordinates of point D are (_,_). help plz!
Answer:
- The coordinates of C is (3,2)
- The coordinates of D is (11/5,14/5)
Step-by-step explanation:
Given
A(1,4) and B(6,-1)
Required
a. Point C divide AB in ratio 2:3
b. Point D divide AC in ratio 3:2
When endpoints are divided into ratios, the formula to calculate the coordinates is;
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Solving for (a): Point C divide AB in ratio 2:3
The ratio;
[tex]m : n = 2 : 3[/tex]
For Point A;
[tex]A(x_1,y_1) = (1,4)[/tex]
For Point B;
[tex]B(x_2,y_2) = (6,-1)[/tex]
Substitute m,n,x1,x2,y1,y2 in the ratio formula given above;
[tex]C(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex]C(x,y) = (\frac{2 * 6 + 3 * 1}{3+2},\frac{2 *-1 + 3 * 4}{3+2})[/tex]
[tex]C(x,y) = (\frac{12 + 3 }{5},\frac{-2 + 12}5})[/tex]
[tex]C(x,y) = (\frac{15 }{5},\frac{10}5})[/tex]
[tex]C(x,y) = (3,2)[/tex]
The coordinates of C is (3,2)
Solving for (b): Point D divide AC in ratio 3:2
Using the same steps as (a) above;
The ratio;
[tex]m : n = 3:2[/tex]
For Point A;
[tex]A(x_1,y_1) = (1,4)[/tex]
For Point C;
[tex]C(x_2,y_2) = (3,2)[/tex]
Substitute m,n,x1,x2,y1,y2 in the folowing ratio formula;
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex]C(x,y) = (\frac{3 * 3 + 2 * 1}{2+3},\frac{3 *2 + 2 * 4}{2+3})[/tex]
[tex]D(x,y) = (\frac{9 + 2}{5},\frac{6 + 8}{5})[/tex]
[tex]D(x,y) = (\frac{11}{5},\frac{14}{5})[/tex]
The coordinates of D is (11/5,14/5)
Answer:
3,2 and 2.2,2.8
Step-by-step explanation:
got a 100 on plato
3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)
Answer:
n = 8.15
Step-by-step explanation:
3/8 is 4 & 3/5 % of what number?
Rewrite this as: 3/8 is (4 3/5)% of what number?
Convert 4 3/5% into a decimal: 0.046
Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.
Dividing both sides by 0.046, we get n = 8.15
For her phone service, Kala pays a monthly fee of $10 , and she pays an additional $0.04 per minute of use. The least she has been charged in a month is $69.48. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .
Answer:
1487
Step-by-step explanation:
The inequality is 0.04m + 10 ≥ 69.48. We use ≥ and not > because it says "least", indicating that we need to use the ≥ sign. Solving for m we get:
0.04m + 10 ≥ 69.48
0.04m ≥ 59.48
m ≥ 1487
The smallest integer that satisfies this inequality is 1487 minutes.
10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?
Answer:
2 1/3 hours or 2 hours 20 minutes.
51.4 mph to 1 decimal place.
Step-by-step explanation:
Time = distance speed
First 50 miles time taken = 50 / 60 = 5/6 hours
Second 50 miles - time = 50/40 = 5/4 hours.
Final 20 miles - time taken = 20 / 80 = 1/4 hours.
Total time taken = 5/6 + 5/4 + 1/4
= 5/6 + 6/4
= 10/12 + 18/12
= 28/12
= 7/3 or 2 1/3 hours or 2 hours 20 minutes.
Average speed = total distance / total time
= 120 / 7/3
= 120 * 3/7
= 51.4 mph to 1 decimal place.
will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18
Answer:
5+10/6+12
Step-by-step explanation:
5+10 is 15
6+12 is 18
so that would be 15/8 which is equal to 15/18
That is the best answer but this question doesn't really make sense.
Hope this helps!
Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!
actually 5/6 and 15/16 are not in proportion
since 6*15 is not equal to 16*5
State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!
Answer:
acute
Step-by-step explanation:
Can someone help? Two players take turns placing multiple chess kings on the cells of a 9×9 chess board, one king per move, so that the kings do not beat each other. (The color of a king piece does not matter.) The player who cannot make a move loses. Which player is the winner?
Answer:
the first player wins
Step-by-step explanation:
The first player can always win if they adopt this strategy:
1. make the first move in the center of the board
2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.
Hence if the 2nd player can make a move, so can the first.
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
hope it will help u .....
Please help me prove that AÊD = B
Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)
Answer:
D.(1,-1)
Step-by-step explanation:
A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both
Answer:
D. 1, -1
Step-by-step explanation:
Trust me g
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
Answer:
D. The coefficient of the x^2-term must be positive.
Step-by-step explanation:
A. The coefficient of the x2-term can't be zero.
B. There can be no term whose degree is higher than 2.
C. One side of the equation must be zero.
D. The coefficient of the x2-term must be positive.
Quadratic equation is given as:
y=ax^2+bx+c
To use the quadratic formula,we have
ax^2+by+c=0
Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0
There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2
One side of the equation must be 0, that is ax^2+by+c=0
Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a
recyclers pay five cents for every two aluminum cans. How much are 200 cans worth?
Answer:
200 cans are worth $5
Step-by-step explanation:
0.05 : 2
x : 200
2x = 0.05*200
2x = 10
x = 5
pls help me with 15 and 16 I will make u brianlist thank u:)
Answer:
15. c
16. b
i hope you figure out later in life how to solve.
Answer:
A, D
Step-by-step explanation:
When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.
Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.
Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.
Translate this sentence into an equation.
75 is the product of Greg's score and 5.
Use the variable g to represent Greg's score.
Answer:
5g = 75
Step-by-step explanation:
Another algebra question i cant solve
Answer:
(-5,0)
Step-by-step explanation:
Answer:
(-5,0)
Hope this help!
The sequence 15, 21, 27, 33, 39, ...., 75 has 11 terms. Evaluate the related series.
a.) 0420
b.) 495
c.) 0210
d.) 480
Answer:
b. 495
Step-by-step explanation:
Given
15, 21, 27, 33, 39, ...., 75
Number of terms = 11
Required
Evaluate
To evaluate means to add up all term of the series above;
The first step is to determine if the series is arithmetic or exponential;
If its arithmetic, then the difference between successive terms must be equal;
In other words;
21 - 15 = 27 - 21 = 33 - 27 = 39 - 33 = 6
Since the result of the above expression gives 6, then it is an arithmetic series;
The sum of n terms of an arithmetic series is calculated as this
[tex]S_n = \frac{n}{2}(a + T_n)[/tex]
Where n = 11
a = First term = 15
T_n = Last term = 75
The formula becomes
[tex]S_{11} = \frac{11}{2}(15 + 75)[/tex]
[tex]S_{11} = \frac{11}{2}(90)[/tex]
[tex]S_{11} = \frac{11 * 90}{2}[/tex]
[tex]S_{11} = \frac{990}{2}[/tex]
[tex]S_{11} = 495[/tex]
Hence, the series when evaluated is 495