Answer:
8%
Step-by-step explanation:
STEP 1: State the formula for calculating the rate
[tex]r= \frac{100 \times i}{p \times t} [/tex]
where r is the rate
i is the interest
p is the principal
t is the years
STEP 2: substitute the given values
[tex]r = \frac{100 \times 3000}{15000 \times 2.5} \\ r = \frac{300000}{37500} \\ r = 8[/tex]
which expression is equivalent to (r-⁷)⁶?
n the card game The Dragons of Castlenook, players score points based on the cards they have at the end of the game. Before playing, Reagan randomly selects 13 cards from the 80-card deck and gets 5 dragons, 1 cyclops, 4 ogres, and 3 centaurs. Based on the data, estimate how many ogre cards are in the deck.
Using proportions, it is found that the estimate of the number of ogre cards in the deck is of 24.6.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, out of 13 cards, 4 are ogres. How many are ogres out of 80? The rule of three is given by:
13 cards - 4 ogres.
80 cards - x ogres.
Applying cross multiplication:
13x = 320.
x = 320/13
x = 24.6.
The estimate of the number of ogre cards in the deck is of 24.6.
More can be learned about proportions at https://brainly.com/question/24372153
Find the 35th term of the sequence
Answer:
3552
Step-by-step explanation:
So, basically, you use the formula and plugin 37, the number of terms, into n.
So:
96(37)
96(37) = 3552
Hope this helps!
Please mark brainliest.
2 1/3 - 1/3
Easy question
Answer:
the answer is 2
Step-by-step explanation:
just subtract 2 -
Answer plsssssssssssssss
Answer:
the answer is 3
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Determine whether the lines are parallel, intersect, or coincide.
Answer:
They intersect :)
Step-by-step explanation:
Hope this helps!
A store sells two brands of applesauce.
Which brand provides more servings?
brand A: 24 1/2 ounces 2/3 cup per serving
brand B: 30 2/3 ounces 3/4 cup per serving
Alternative text
A.
Brand A because it provides 4 19/32 servings.
B.
Brand A because it provides 16 1/3 servings.
C.
Brand B because it provides 5 1/9 servings.
D.
Brand B because it provides 23 servings.
This problem is a dog of a bear because of the units.
It tells us how many ounces are in a jar, but how many cups are in a serving.
So in order to figure out how many servings are in a jar, we have to either change the jar from ounces to cups, or else change the serving from cups to ounces.
And of course, in order to do either of those things, we need to know how many ounces make 1 cup ! Hint: 1 cup = 8 ounces .
AND PLUS trying to work with all the fractions is gonna be ridiculous too.
Jar-A: (24 1/2 ounces) / (8 ounces/cup) = 3 1/16 cups
How many servings is that ?
(3 1/16 cups) / (2/3 cup/serving) = 4 19/32 servings
Jar-B: (30 2/3 ounces) / (8 ounces/cup) = 3 5/6 cups
How many servings is that ?
(3 5/6 cups) / (3/4 cup/serving) = 5 1/9 servings
(5 1/9) is more than (4 19/32). So Jar-B provides more servings than Jar-A.
Choice - C
Note: Both brands are great for people who are on a diet, because they have to work off so many calories working out the stupid fractions, and it takes so long that they never get around to eating the applesauce.
Answer:
ar-B provides more servings than Jar-A. Choice - C
i need help with this....8th grade math!
Answer:
A)
Step-by-step explanation:
volume of old box is 8·3·11 which is 264 cubic inches
volume of new box is 10·10·3 which is 300 cubic inches
help me ..............................
Answer:
what you have is correct the last answer is 14. You just have to do 4 x 3.5 = 14
Challenge An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students?
Step-by-step explanation:
T : S
5 : 95
1 : 19
Tu : S
6. : 48
1. : 8
10 : 80
There are 19 students per teacher.
There are 8 students per teacher.
The school will need 10 tutors if there is 80 students.
Identify the Greatest Common Factor of 7x^4y^2 - 12x^3y^3. (1 point)
12x^4y^3
O 3x³y²
O x²y²
7x^4y^3
he greatest common factor of 7x^4y^2 - 12x^3y^3 is the greatest number that can divided both terms of the expression
The greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2
How to identify the greatest common factorThe expression is given as:
7x^4y^2 - 12x^3y^3
Factor out x^3
x^3(7xy^2 - 12y^3)
Factor out y^2
x^3y^2(7x - 12y)
The first factor of the expression represents the greatest common factor of 7x^4y^2 - 12x^3y^3
Hence, the greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2
Read more about greatest common factors at:
https://brainly.com/question/723406
Can the sides of a triangle have lengths 7.6, 2.5, and 2.2?
Answer:
No.
Step-by-step explanation:
Given the following question:
[tex]7.6, 2.5, 2.2[/tex]
In order for any given sides to form a triangle it has to pass the triangle inequality theorem, which is the sum of any two given sides of the triangle has to be greater than the third side in order for it to be a triangle.
In this case...
[tex]7.6, 2.5, 2.2[/tex]
[tex]7.6 + 2.5 = 10.1[/tex]
[tex]10.1 > 2.2[/tex]
[tex]2.5+2.2=4.7[/tex]
[tex]4.7 < 7.6[/tex]
[tex]7.6 +2.2=9.8[/tex]
[tex]9.8 > 7.8[/tex]
Therefore, your answer is "no" the following sides do not form a triangle.
Hope this helps.
Which of the following will result in a rational number? Select all that apply.
A. 645+9√4
B. 645−5√7
C. 645×9√4
D. 645÷5√7
Answer is A I just did this
Select the choice that follows the correct sequence of steps in solving this inequality. 6x + 23 > -2x + 7
Answer:
x>2Step-by-step explanation:
6x+23>-2x+76x+2x>7-238x>16 divide 8 both sidex>2aswer.A segment has one endpoint at the origin O and the other endpoint at A(12,36). If point B is located on OA such that OA/BA=3 then which of the following are the coordinates of B?
(1) (4,12) (2) (9,27) (3) (8,24) (4) (36,108)
The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).
How to find the coordinates of point B?We know that:
O = (0, 0)A = (12, 36).And point B is between these two, such that:
OA/BA = 3
Meaning, OA is 3 times BA.
Now, if we apply a factor of 1/3 to point A, we get:
(12/3, 36/3) = (4, 12)
So, the distance between A and B is equal to the distance between the origin and (4, 12) (a change of 4 units in the x-component and 12 units in the y-component).
The point that meets that condition is (8, 24), which is given by multiplying by 2 the previous coordinates.
The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).
If you want to learn more about distance, you can read:
https://brainly.com/question/7243416
What is the relationship between the lines with the following equations?
2x+6y=12
y=3x−8
A) The lines are neither parallel nor perpendicular.
B) The lines are the same.
C) The lines are parallel.
D) The lines are perpendicular.
Answer:
D
Step-by-step explanation:
The answer is D because if you work the equations out the one m= - 1/3 and the other m=3
Equivalent systems of two linear equations______
have the same solutions
A. always
B. sometimes
C. never
Answer:
B
Step-by-step explanation:
Its B i took the quiz and got it right so hope this helps u
Can someone help me please?
Answer:
√28Step-by-step explanation:
The diagonal of a square is √2 times the side length.
1.For BD = 4, AD = 4/√2 and AE is half that, or 2/√2 = √2.
The length of AE is √2.
__
2.The area of the square is the square of the side length:
Area = AE² = (2√2)² = 8
_____
Additional comment
The area of a quadrilateral in which the diagonals are perpendicular is found to be half the product of the diagonal lengths. Here, that would be ...
1/2(4)(4) = 8 . . . square units
help please i am struggling
Answer:
your x point is 2
Then, to help you for y=2x just make a table of values
So for y=2(1) y=2, y=2(2) y=4, y= 2(3) y=6
So theres 3 points to start which gives you a hint that each point goes up two times. (0,0) (1,2) (2,4) (3,6)
From the picture attached you can the y intercept is (2,4)
Please answer, I desperately need your help! There's a great reward in store if you prove yourself to be of assistance!
Answer:
4
Step-by-step explanation:
SIKE HEHEHEHEHEHEHEHEHEHEHE
its 5 dummy
3/4 cup juice per 2/3 cup sugar, find cups juice per cup sugar
Answer:
9/8
Step-by-step explanation:
divide 3/4 by 2/3
use the KCF method
so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2
now multiply across: 3/4 × 3/2=9/8
100 POINTS
Find the amount of the discount on a $230 bicycle that is on sale for 35% off.
A. $35.00
B. $80.50
C.$ 4.26
D. $23.50
Answer:
The answer is B. $80.50
Step-by-step explanation:
I got it right on my quiz ;)
Answer:
B
Step-by-step explanation:
0.35*230 = 80.50
EXTRA POINTS! You scored 74, 88 and 82 on three tests. Write and solve an inequality to find the minimum score you need
to earn on the fourth test so that your mean test score is at least an 84. Please show process!
Answer:
You would at least a 90 to average out your score to an 84
but I dont know how to get the inequality sorry
I hoped this helped a little
Step-by-step explanation:
Fisrt you will need to find the average of the numbers by adding them up and dividing by 3 ( because there are 3 numbers )
which would give you 81
then you have to get at least above an 81 to make it go higher but you may have to do a little more than that there for 90 is what you need
Write the first five terms in the sequence.
NEXT = NOW + 13, starting at –84
Answer:
-84, -71, -58, -45, -32, -19
Step-by-step explanation:
Translate this sentence into an equation.
The product of 2 and Gail's height is 38.
Use the variable g to represent Gail's height.
Answer:
2 × g = 38
Step-by-step explanation:
A product refers to multiplication.
Hope this helps~! Brainliest is appreciated!
How do you find the length of AC? Picture below
Answer:
12cm
Step-by-step explanation:
this is a right angle triangle
so taking 'b' as base, 'a' as perpendicular and 'c' is hypotenuse which is equal to 13cm
and 1 angle is given which 22.6 degrees
and we need to find out 'b' which is AC
so we have
sin(x)= perpendicular/hypotenuse
cos(x)= base/hypotenuse
tan(x)=perpendicular/base
cos(22.6) = base/hypotenuse=13
cos(22.6)*13 = base
0.9232*13 = base
base = 12cm
MARKING BRAINLIEST!
Two numerical patterns are shown below:
Pattern A: 6, 12, 18, 24, 30
Pattern B: 12, 24, 36, 48, 60
Select the statement that describes the numerical patterns.
A. The rule for Pattern B is "multiply by 2."
B. The rule for Pattern A is "multiply by 2."
C. Each term in Pattern B is one half the corresponding term in Pattern A.
D. Each term in Pattern A is one half the corresponding term in Pattern B.
Answer:
D
Step-by-step explanation:
What is additive inverse and absolute value . Explain with an example .
Give me a great awesome answer so that I can mark u as brainliest
Answer:
Absolute value represents the distance from zero when graphed on a number line. For example, the number 7 is 7 units away from zero. ... A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.
Step-by-step explanation:
HOPE IT HELPS . JENITA , PLS MARK AS BRAINLIEST
Final Question: What is the measure of x?
Angles are not necessarily drawn to scale.
Answer:
[tex]x=114[/tex]
Step-by-step explanation:
Since we know that a straight line is 180°, and we know that one of the angles is 66°, we can write a simple equation to figure this out: [tex]x+66=180[/tex] Then, to solve the equation all you would need to do is subtract [tex]66[/tex] from both sides to get [tex]x=114[/tex].
The circle below represents one whole
What percent is represented the shaded area
Answer:
50%
Step-by-step explanation:
Imagine a pizza, the pizza is cut into 4 slices and 2 have already been eaten. There you go! You now have the fraction 2/4. 2/4=1/2. 1/2 as a percentage is 50%.