Answer:
a = 0.5
b = 6
ab - b
= 0.5 × 6 - 6
= 3 - 6
= -3
Hope it helps:)
The mean of 17,x,10,17,51 is 21 find x
Answer:
x=10
Step-by-step explanation:
(17+x+10+51+17)/5=21
95+x=105
x=10
The required value of x for the given mean of the data is x = 10.
How to find the mean of the given sample of data?In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.
Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,
Mean = ( x₁ + x₂ + x₃ + .....)/n.
Given that,
The mean of 17, x, 10, 17 and 51 is 21.
It can be written in mathematical form as,
(17+ x + 10 + 17 + 51 )/5 = 21
=> 17+ x + 10 + 17 + 51 = 21 × 5
=> x = 105 - 95
=> x = 10
Hence, for the given data the value of x is 10.
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Flying against the jetstream, a jet travels 3280 miles in 4 hours. Flying with the jetstream, the same jet travels 5500 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
given m || n, find the value of x and y.
Answer: x = 56 and y= 56
Step-by-step explanation: 124 + 124 = 248
360 - 248 = 112
112 divided by 2 = 56
y=−4x−3
y=−2x+1
answer asap
Answer:
Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...
y=−4x−3 y=−2x+1
-2x+1=-4x-3 substitute
-2x+4x=-3-1 move and combine like terms
2x=-4 divide
x=-2
Have a gud day!
find out of the common factor.
30 and 60
Answer:
GCF of 30 and 60 is 30.
Step-by-step explanation:
There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?
Answer:
704 students can fit in the cafeteria a day
x + y = 3
2x + 2y = 6
Answer:
x = Infinite answers.
y = Infinite answers.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
2x + 2y = 6
2x + 2y = 6
=> Therefore, x and y have infinite values that can fit the equation.
Hoped this helped.
Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determine the number of boards Devon's father will need for a 10 ft by 16 1/2 ft room. Plz plz help and the way to solve it plz!!!
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards
A rectangle has a length that is 4 inches longer than it’s width .its perimeter is 36 inches which of the following is its area
54
64
77
81
Answer:
Area=77
Step-by-step explanation:
P=36
P=2l+2w
l=w+4
P=2(w+4)+2w
P=2w+8+2w
P=4w+8
36=4w+8
28=4w
w=7
l=7+4
l=11
A=lw
A=77
50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots
Answer:
The Cubic Polynomial given here is
x³ - x² - x -3 =0
Rational root theorem :
Consider any polynomial
[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]
So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.
Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .
Option 1. -3,-1,1,3 is correct optionAnswer:
-3, -1 , 1, 3
Step-by-step explanation:
Constant factors: 1, -1, 3, -3
Coefficient factors: 1, -1
Imma need a really quick answer im on a real tight clock
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
y=6x-5 convert the equation to standard form
Answer:
Add 6x to both sides.
y + 6x = -5
Reorder the left side so that the x term is first.
6x + y = -5
:)
using the diagram what is the intersection of plane ABCD and GC
A. Plane EFGH
B. Point D
c. Point C
D. Line CB
Answer:
The answer it's c. Point C
graph the following features: slope= -3/2 y intercept = 2
Using the given information the equation of the line is y = -3/2x + 2
Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:
Using X = 0:
y = -3/2(0) + 2, y = 2
First point is (0,2)
Now X = 4:
y = -3/2(4) + 2 = -6 + 2 = -4
Second point = (4,-4)
See attached image with plotted line:
the sum of 9 and a number
Answer:
E+ 9
Step-by-step explanation:
Let E represent a number.
The sum of nine and the number is then E+9 as "sum" denotes addition.
Therefore the representation would be E+9
which quadrilaterals always have diagonals that bisect opposite angles
You have been saving your money to buy a new pair of shoes. Three different stores are having a sale on them. Which store has the best deal?
Store A
Original Price: $70
Take 10% off.
Then, take 10 percent off that price.
Store B
Original Price: $80 Take $15 off.
Then, take 10 percent off that price.
Store C
Original Price: $90
Take 10% off.
Then, take $20 off that price.
A) Store A
B) Store B
C) Store C
Answer:
Store A would be the least expensive.
Step-by-step explanation:
Store A
70*0.10=7
70-7=63
63*0.10=6.30
63-6.30=57.70
$57.70
Store B
80-15=65
65*0.10=6.50
65-6.50=58.50
$58.50
Store C
90*0.10=9
90-9=81
81-20=61
$61
he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the length is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing
Answer:
20
Step-by-step explanation:
Solve the equation
n/10+6=13
Answer:
n = 70
Step-by-step explanation:
n/10 + 6 = 13
n/10 = 7
n = 70
CHECK:
70/10 + 6 = 13
Geometry- Solve the portion. Question#3
Answer:
[tex]a=1[/tex]Step-by-step explanation:
First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]Answer:
a=1
Step-by-step explanation:
Hi there!
We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a
Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.
Therefore, the proportion will now be:
[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]
Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)
1(a+3)=4(1)
Multiply
a+3=4
Subtract 3 from both sides
a=1
Hope this helps!
Can somebody help me with my Geometry?
Answer:
∠KJL = 45°
∠x=45°
∠DBC=67.47°
Step-by-step explanation:
x+x=90
2x=90
x=45°
Answer: there you go
Step-by-step explanation:
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
How large could the percent error in Jada’s measurement be? Remember her error is 1/8 (.125) of the orignial height. Round to the nearest tenth of a %.
Answer: 2.6%
Step-by-step explanation:
4 3/4 = 4.75 which I'll be using because its easier for me
0.125 / 4.75 = 0.0263157895
0.0263157895 * 100 = 2.63157895
2.63157895%
Rounded is 2.6%
What is the slope intercept equation from the graph?
Please help thank u
Answer:
the desired equation is y = (-3/2)x + 3
Step-by-step explanation:
Two points through which the graph passes are (0, 3) and (2, 0). (0, 3) is the y-intercept. Thus, the slope-intercept equation y = mx + b becomes
y=mx + 3. Borrowing the coordinates of (2, 0) and substituting them into this last result, we get
0 = m(2) + 3,
which, after having been solved for m, gives us m = -3/2
and so the desired equation is y = (-3/2)x + 3.
A garden snail moves 1/6 foot in 1/3 hour. How far is the snail moving per hour?
A. 2 feet per hour
B. 1/2 foot per hour
C. 1 foot per 2 hours
D. 1/4 foot per hour
Answer:
c) 1 foot per 2 hours
Step-by-step explanation:
1/6 of a foot (which is 12 inches) is 2 inches
1/3 of an hour (which is 60 minutes) is 20 minutes
2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)
9. Mr. Glover wrote the problem, "Find 16% of 50" on the whiteboard and asked students to
create a proportion or equation to solve the problem. Circle the name of anyone who made a true
statement.
Tur
Tur
DOVAN
The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.
The percentage of a given number is the fraction of that number required for consideration.
To determine the required fraction of the given number in the question, express the given statement in mathematical terms.
So that:
16% of 50 = [tex]\frac{16}{100}[/tex] x 50
= 0.16 * 50
= 8
Thus 16% of 50 is 8.
Considering the steps required to solve the question and each statement of students, then Maxine is correct.
NB: The required image to the statement is attached to this answer.
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What is the slope of the function?
m=
What is the y-intercept of the function?
b=
Which equation represents the graph of the function?
GIVING BRAINLIEST!!!
A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?
The angle formed by the ribbon and the pole is 29°
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle formed by the ribbon and the pole.
Hence:
[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]
The angle formed by the ribbon and the pole is 29°
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
Can Someone explain this to me? No Links no bots please.
Answer:
The domain is x = all real numbers and the range is y >= 0.
Step-by-step explanation:
The domain represents all possible values that x can be for a given equation or graph. Since this is a parabola, it will keep expanding upwards and outwards infinitely, so it will eventually reach every x value on both the positive and negative axis, therefore x is all real numbers (also written as (-INF, INF) in another notation).
The range is similiar to the domain, but it represents all possible y values. The parabola, as I mentioned before, will expand upwards infinitely, so all y values greater than the vertex will be reached. The vertex for this graph is the lowest point of the parabola, so y will have to be greater or equal to it. For this equation, the vertex is (0,0) so y has to be greater than or equal to 0.
what times 1 over 7 equals 4? correct answer gets brainliest
Answer:
x = 28
Step-by-step explanation:
1/7(x) = 4
Multiply all sides by 7
x = 4 x 7/1
x = 28/1
x = 28
-Chetan K
Answer:
n = 28
Step-by-step explanation:
Let the unknown be n.
Then the word problem translates into n(1/7) = 4.
Multiplying both sides by 7 yields n = 28
Raina's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Raina's bank hold?
Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
Answer:
we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.
then she adds 360 pennies so it's 5/8 full.
therefore, the 360 pennies = 3/8 full
because 5/8 - 2/8 = 3/8.
now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.
360 pennies/3 = 120 pennies = 1/8 full.
now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.
120 pennies x 8 = 960 pennies.
Raina's bank can hold up to 960 pennies.