Answer:
x = 4
Step-by-step explanation:
To solve this equation, first you want to write the whole thing out.
32x - 1 = 243
Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:
32x = 244
Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.
x = 4
Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!
I hope this helped and good luck with your math!
I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.
Answer:
x=3
Step-by-step explanation:
this table gives a few (x,y) pairs of a line in the coordinate plane x y -12 14 -2 21 8 8 what is the x intercept of the line?
Answer:
(-2, 21) and (8, 8)
Step-by-step explanation:
Use the two coordinate pairs (-2, 21) and (8, 8). As we go horizontally from the first to the second, the run (change in x) is 10 and the rise (change in y) is -13. Thus, the slope of the line through (-2, 21) and (8, 8) is m = rise / run = -13/10.
The equation of this line follows y - k = m(x - h):
y - 8 = (-13/10)(x - 8)
Answer:
(-32,0)
Step-by-step explanation:
In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects
Answer:
80 x 62.5% is 50.
Step-by-step explanation:
help me i want to get this correct
Answer:
1/8
Step-by-step explanation:
Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8
so A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.
Answer:
6x² - 14x - 4Step-by-step explanation:
A =3x² + 4x + 1
B = 5x² - 3x + 8
C = 4x² - 7x - 3
B + C –A is
5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)
Expand and simplify
We have
5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1
Group like terms
5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1
We have the final answer as
6x² - 14x - 4Hope this helps you
Solve on the interval [0,2pi)
4 CSC x + 1 = -3
Answer:
[tex]$\frac{3\pi }{2}$[/tex]
Step-by-step explanation:
Solve for the interval: [tex][0, 2\pi)[/tex]
[tex]4 \csc(\theta)+1=-3[/tex]
[tex]4 \csc(\theta)=-4[/tex]
[tex]\csc(\theta)=-1[/tex]
[tex]$\frac{1}{\sin(\theta)} =-1 \Rightarrow \sin(\theta)=-1$[/tex]
We have [tex]\sin(\theta)=-1[/tex] for coterminal angles [tex]$\frac{3\pi }{2}+2\pi n$[/tex]
Once we just want the interval [tex][0, 2\pi)[/tex]
The solution is [tex]$\frac{3\pi }{2}$[/tex]
Does anyone know this
Answer:
I believe it's 220 in.
Step-by-step explanation:
area = base 1 + base 2 divided by 2 times the height
-----------------> 10x - 3 - 2x = 4
Answer:
[tex]x=\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]10x-3-2x=4[/tex]
First, collect and rearrange the like terms.
[tex]10x-3-2x=4[/tex]
[tex]8x-3=4[/tex]
[tex]8x=4+3[/tex]
Then, solve the equation:
[tex]8x=4+3[/tex]
[tex]8x=7[/tex]
[tex]x=\frac{7}{8}[/tex]
So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!
If you still cannot get the point, you can ask me anytime.
Answer:
x=7/8
Step-by-step explanation:
10x-3-2x=4
collect like term
8x-3=4
move constant to the right-hand side and change its sign
8x-3=4 into 8x=4+3
add up the number : 8x=4+3
8x=7 divide both sides of the equation by 8
x = 7/8
Based on the graph, which of the following represents a solution to the equation? (4 points) A. (−2,−3) B. (3, 1) C. (1, 3) D. (3, 2)
Answer:
C (1,3)
Step-by-step explanation:
The only choice that appears on the line is 1 on the horizontal or X axis and 3 on the vertical or Y axis.
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)
Hi
An inverse variation is of the form : f(x) = k/x where k is a number and x the variable.
In a inverse variation , the product of x*y is for all point always the same which is K
so 2*8 = 16 so K = 16 and f(x) = 16/x
if x = 3 then f(x) = 3 so : 16/x = 3 ; 3x = 16 ; x ⇒ 16/3
Raymond normally has a snack consisting of ten 12-calorie crackers. How many 20-calorie cookies would he have to eat to consume the same number of calories?
Work Shown:
He eats ten 12-calorie crackers, so that is 10*12 = 120 calories total
If x is the number of 20-calorie cookies, then the total number of calories here is 20x. We want this to be 120, so,
20x = 120
x = 120/20 .... divide both sides by 20
x = 6
He must eat six 20-calorie cookies to get 120 calories total
Answer: 6 cookies
Step-by-step explanation:
First, multiply 10*12 to see how many calories he normally eats.
10*12 = 120
Then, divide by 20 to see how many cookies he can eat to keep the same number of calories.
120/20 = 6
Hope it helps <3
Rhombus $ABCD$ has perimeter $148$, and one of its diagonals has length $24$. What is the area of $ABCD$?
Answer:
Area of the rhombus=840
Step-by-step explanation:
Perimeter of a rhombus=4a
148=4a
a=148/4
=37
a=37
The diagonal divides the rhombus into two congruent triangle,
Each congruent triangle= 37 x 37 x 24.
To get the area of the rhombus, we will find the area of one of the congruent triangle, then multiply by 2.
Using Hero's formula to find the area of a triangle, we will use the three sides
Area = √[ s(s-a)(s-b)(s-c) ]
where a, b, and c are the lengths of the three sides: a = 37, b = 37, and c = 24.
s=semiperimeter
s = (a + b + c) / 2
= (37 + 37 + 24)/2
= 98/2
= 49.
s=49
Substitute all the values into the formula
Area = √[ s(s-a)(s-b)(s-c) ]
= √[ 49(49-37)(49-37)(49-24) ]
=√[ 49(12)(12)(25) ]
=√[49(3600)]
=√(176,400)
= 420
Area of one triangle=420
Area of a rhombus=Area of one triangle×2
=420×2
=840
Answer:
840
Step-by-step explanation:
The four sides of a rhombus all have equal length, so if the perimeter is 148, then each side has length 148/4 = 37. Also, the diagonals of a rhombus bisect each other at right angles, so the diagonal of length 24 is cut into two pieces of length 12. We can show this information in a diagram (shown below.)
Applying the Pythagorean Theorem to any of the four right triangles in our diagram, we have
12² + x² = 37².
Solving this equation for positive x, we get x = √37² - 12² = √1369 - 144 = √1225 = 35. The length of the long diagonal is x + x = 70.
The area of a rhombus is half the product of its diagonals. In this case, that is 24 ∙ 70/2 = 12 ∙ 70 = 840.
Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
B and C
Step-by-step explanation:
They have a positive slope
Answer:
It is B,C, and D. I got it wrong for this :,)
Find 83 1 3 % of 384 please help I really need it
Answer:
320
Step-by-step explanation:
0.83333333x384=319.9999999=320
The uber fare in Detroit is $3.20 for the first 1⁄2 and each additional 0.1 mile costs $0.20. You plan to give the driver a $4.00 tip. How many miles can you ride for $12.00?
Answer: The correct answer is 3.6 miles
Step-by-step explanation:
ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A. must not be
B. may or may not be
C. must be
The quadrilateral ABCD must be a parallelogram.
Properties of a parallelogramFor a parallelogram, the opposite angles and sides are always equal.
From the given quadrilateral, you can see that opposite angles are equal that is:
m<B = m<DBased on this, we can conclude that the quadrilateral ABCD must be
a parallelogram.
Learn more on parallelogram here: https://brainly.com/question/970600
Answer: Must Be
Step-by-step explanation:
Which expression is equivalent to
?
4 square root 6/ 3 square root 2
Answer:
Hope the picture helps
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171 points.
Step-by-step explanation:
If five test scores have a mean of 90, all the scores added together will be 5 * 90 = 450.
The middle score is 91, so the other four scores added together will be 450 - 91 = 359.
The mode is higher than the median, so we can assume that the highest two numbers are the same: 94. 94 * 2 = 188. 359 - 188 = 171.
That means that the sum of the two lowest test scores is 171 points.
Hope this helps!
Answer:
The sum of the two lowest test scores is 171.
Step-by-step explanation:
We see that there are 5 test scores, so the median ( middle score ) was not taken to be the average of the two middle scores. It is an element present in the set of five test scores. The mode of course has to be present in the set, but multiple times. If we can figure out how many times this mode is present in the set, it would help us.
As 91 is the middle value, there has to be two above 91. Therefore, as 94 appears the most frequent, is must appear twice.
Now another key thing we need here is the sum of all 5 numbers. Given a mean of 90, 90 [tex]*[/tex] 5 = the sum of all 5 numbers = 450. Therefore, the sum of the two lowest test scores should be = 450 - 94 - 94 - 91 = 171 - which is our solution.
is the square root of 29 rational or irrational?
Answer:
irrational
Step-by-step explanation:
rational - a number that can turn into a fraction (you could do this with a perfect square)
Irrational - a number that cannot be expressed as a fraction
The square root of 29 is an irrational number because it can not be expressed as a fraction.
To determine whether the square root of 29 is rational or irrational, we need to check if it can be expressed as a fraction (ratio) of two integers.
Assuming that the square root of 29 is rational, we can represent it as √29 = a/b, where a and b are integers with no common factors other than 1, and b is not equal to 0.
Squaring both sides of the equation (√29)² = (a/b², we get 29 = (a²)/(b²).
This implies that 29 is equal to the ratio of two integers (a²)/(b²), which means that 29 can be expressed as a fraction. However, this is not true because 29 is a prime number and cannot be written as a fraction of two integers.
Therefore, the square root of 29 cannot be expressed as a fraction and is therefore irrational.
Hence, the square root of 29 is an irrational number.
To learn more about irrational numbers;
https://brainly.com/question/33006214
#SPJ6
A bakery prepares boxes of desserts. Each box contains twice as many cookies as brownies. Which line on the graph depicts the number of cookies relative to the number of brownies?
Answer:
Last graph showing 10 cookies and 5 brownies.
Step-by-step explanation:
There are more cookies (y-axis) than brownies (x-axis), the slope is 2.0 so the line must be > 45 degrees.
Answer is the last graph which shows 10 cookies and 5 brownies.
Answer:
The graph that is closest to standing straight up.
Step-by-step explanation:
The bakery is preparing twice as many cookies than brownies, so for every brownie, the bakery bakes two cookies, which is represented in the graph.
in a coin jar, there are 45 nickles. the number of pennies and nickles together equal the number of dimes. there are 2 quarters for every 3 nickles and 2 dimes for every quarter. how many are there of each type of coin?
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
HOPE THIS HELPS!!!!!:)
please answer need help :)
Answer:
112
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
7² = 7 * 7 = 49
4² = 4 * 4 = 16
7² + 3(4² + 3 + 2) = 49 + 3(16 + 3 + 2)
= 49 + 3 * 21
= 49 + 63
= 112
The following box plot shows points awarded to dance teams that competed at a recent competition: box plot with number line titled Points with 0 as the minimum, 65 as quartile 1, 87 as the median, 95 as quartile 3, and 100 as the maximum
Which dot plot best represents the box plot data?
Answer:
The first Quartile, since the minimum is 0 and maximum is 100, 65 is the closest to 50
Step-by-step explanation:
The dot plot that best represents the box plot is option D (see image 2).
Find out the minimum, maximum, and median value of the data set represented by the box plot, then determine which of the given dot plots has the same minimum, maximum, and median values.
The box plot showing points awarded to dance teams as sown in image one has the following values:
Minimum - 0Maximum - 100Median - 87Image two shows a dot plot that has the same minimum, median, and maximum values as that of the box plot we are given, therefore, the dot plot that best represents the box plot is option D (see image 2).
Learn more about box plot on:
https://brainly.com/question/14252896
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
x + y = 6,000
0.025x - 0.015y = 110
Step-by-step explanation:
Let x and y = amount of money deposited in each account respectively
Total savings=$6,000
Therefore
x+y=6000
x account earns 1.5 percent interest, and y account earns 2.5 percent interest.
1.5% * y
=(1.5/100)y
=0.015y
2.5% * x
=(2.5/100)x
=0.025x
The interest in the account that earned 2.5 percent was $110.00 more than the other account.
This means the difference between 0.025x account and 0.015y account=110
0.025x-0.015y=110
x + y = 6,000
0.025x - 0.015y = 110
Answer: The answer is C: x + y = 6,000. 0.025 x minus 0.015 y = 110.
Step-by-step explanation:
did the quiz got a 100% on it.
Convert [tex]\frac{1}{280}[/tex] to decimal number. What’s the length of the non-repeating part? What’s the length of the repeating block?
Answer:
Well to convert it into a decimal we do 1 / 280 which is 0.00357142857.
Well the lengh of the non repeating is only 3 numbers .003.
And the lenght of the repeating block is 6 numbers 571428
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 20 options: A) 180° B) 28° C) 56° D) 112°
Answer:
D) 112°
Step-by-step explanation:
Reflection is the process in which a given figure is flipped over a given line or point to produce its image. Thus changing the orientation of the initial figure. Rotation involves the turning of a figure with respect to an origin.
The given question involves composition of two reflections on intersecting lines l and m. When a given point or figure is reflected on two intersecting lines, the process is the same as a clockwise rotation of the point or figure twice the intersecting angle.
The reflection of the given point along l and then m will cause a 112° rotation.
Answer: D
Step-by-step explanation: I took the test and got it right! and also if you insert 112 degrees into the equation it is right
What is the value of this expression when a = 4 b = - 5 and c = - 7 (a + 2bc)/(3a) O A - 5 1/2 OB. - 1 2/3 Oc. 6 1/6 OD . 17 1/2
Answer:
[tex]\mathrm{C.}[/tex] 6 1/6
Step-by-step explanation:
(a + 2bc)/(3a)
Plug in the values.
(4 + 2(-5)(-7))/(3(4))
Evaluate.
(4 + 70)/12
74/12
37/6 = 6 1/6
From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answer: There are ways now to get from Andy's house to Willie's house.
Step-by-step explanation:
Given, from Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house.
Then, the number of ways to get from Andy's house to Willie's house =
(Number of ways to Andy's house) x (Number of ways to get Willie's house) [Using fundamental counting principle]
= 1 x 2 = 2
Hence, there are ways now to get from Andy's house to Willie's house.
I NEED HELP RIGHT NOW! What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary. I WILL MARK YOU THE BRAINLIEST!
Answer:
11
Step-by-step explanation:
You just add all the numbers and divide by the amount of numbers.
So its the sum divided by the amount of numbers added up.
Which of the following is most likely the next step in the series?
Answer:
C.
Step-by-step explanation:
Well if 1 is blue and 2 is tan and 3 is blue and across from 1.
Then 4 will be tan because it is across from 2 which is tan.
C.
Answer:
C
Step-by-step explanation:
It goes blue, blue pink, blue pink blue, so according to the pattern the next would be pink.
p.s. thank you so much for all the points!!!!! Like the other answer said brainliest is always appreciated. Here I am, question #2. You can award it to them now 8-D
Find the area of the shape shown below.
Answer:
6[tex]cm^{2}[/tex] (assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey
Answer:6
Step-by-step explanation: