Answer:
x=8.5
Step-by-step explanation:
(6x+1)+(2x+10)=79
6x+2x 1+10
8x +11=79
-11 -11
8x=68
÷8 ÷8
x=8.5
The sweater Ingrid wants to buy is $30.
It is on sale for 33% off. If the sales tax is
7%, what is the total cost of the sweater?
Round to the nearest cent, if necessary.
Answer:
Sweater will be $21.51
Step-by-step explanation:
cost of sweater $30.00
Sale of 33% off comes to $9.90/off ($30 × 33% = $9.90)
$30.00 - $9.90 =$20.10
Sale cost of sweater is $20.10
$20.10 × 7% sales tax = $1.41
$20.10 + $1.41 = $21.51
The sum of half a number and four is negative 7.
Choose the equation that represents the verbal sentence.
a. 2x+4=-7
B.x/2-4=-7
C.x/2+4=-7
D.x+2/2=-7
Answer:
The answer is option C
Let the number to found be x
half a number = x/2
'and' in the expression means addition
sum of half a number and four is negative 7 is
x/2 + 4 = - 7
Hope this helps
which symbol is used to name a line with two points A and B
Answer:
AB
Step-by-step explanation:
I think that's the answer
Explain the main parts and uses of two kinds of proofs. March the word with the right definition.
A. Definition
B. Postulate(axiom)
C. Common notion
D. Theorem
E. Corollary
1. A statement that is assumed to be true without proof
2. A statement that has already been proven to be true
3. A statement that tells exactly what something is or means
4. A statement that makes sense based on another statement that has already been proven
5. A statement that is not officially defined but that is understood to be common sense.
Help pls :3
Answer:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Step-by-step explanation:
A. Definition refers to a statement that exactly defines the object, thing or everything.
B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.
C. Common notion is the statement that helps to understand the common sense about the subject.
D. Theorem is a statement that shows proof on the basis of previously making statements.
E. Corollary is a statement that act as a small proof that has already been proven.
Hence, the correct matches are:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
{y = 308x
y = 122x + 2,338
Solve the linear equation
Answer:
Step-by-step explanation:
So if y=308x then we have to use the substitution method.
y=308x
y=122x+2338
so y=308x=122x+2338
308x-122x=186x
186x=2338
do the division and thats your answer. which is what y equals
PLEASE HELP ASAP!!
Determine the value of k that would make these two functions inverses.
Answer: K = 6
Step-by-step explanation:
If you find the inverse of the inverse function, it will return back to initial function.
The inverse of r^-1 (x) will give r(x).
To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,
Y = 2x^2 - 14
Interchange y for x
X = 2y^2 - 14
2y^2 = x + 14
Y^2 = x/2 + 14/2
Square both side
Y = sqrt ( x/2 + 7 )
It is only when K = 6, that will can get the value above.
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate [tex]3^x[/tex] for [tex]x = -2, x = 1, \text{ and } x = 3.[/tex]
So, we substitute values of x in the given function.
At x= -2, we have
[tex]3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}][/tex]
At x= 1, we have
[tex]3^1=3[/tex]
At x= 3
[tex]3^3=3\times3\times3=27[/tex]
So, the values of [tex]3^x[/tex] for
Thus, the correct answer is B) 1/9, 3, 27
Answer:
Step-by-step explanation:
Answer: B) 1/9, 3, 27
What is the slope of the line described by the equation below y= 3x-6 A. (0,-6) B. (0,-3) C. (0,6) D. (0,3)
Answer:
A.)
Step-by-step explanation:
If you plug in the x and y values into the equation, you will see that -6=-6
y=3x-6
-6=3(0)-6
-6=-6
Therefore, A.) is the correct answer
Which two numbers does 128 lie between on a number line
Answer:
127 and 129 if its going up by ones
Urgent please see image
Answer:
A
Step-by-step explanation:
Because the mouse goes through 8 segments, this becomes a series of 8
I’m in need of major help with my Intermediate Algebra. Anyone please I need to pass my summer class.
Answer:
oki
Step-by-step explanation:
what do you need help with? :)
Dog Food Prices
Bag Size (lb) Price ($)
30
49.00
22
32.36
8
10.23
What is the cost per pound of the 22 pound bag? Answers are rounded to the nearest hundredth.
1.47
1.67
1.77
1.87
Answer:
1.80
Step-by-step explanation:
Answer:
$1.47 per pound
Step-by-step explanation:
The 22 pound bag of dog food costs $32.36. We want to find the cost per pound, or the unit rate for the 22 pound bag.
Therefore, we must divide the cost by the number of pounds.
cost/pounds
cost= $32.36
pounds= 22 lbs
$32.36/22 lbs
Divide 32.36 by 22
$1.4709090....
Round to the nearest cent, or hundredth. The 0 in the thousandths place indicates we should leave the 7 in the hundredth place.
$1.47
The 22 pound bag of dog good costs $1.47 per pound.
work out xz and qr need asap
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal
(a)
[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
7.2XZ = 117 ( divide both sides by 7.2 )
XZ = 16.25 cm
---------------------------------------
(b)
[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
18QR = 122.4 ( divide both sides by 18 )
QR = 6.8 cm
If the equation below is solved by graphing, which statement is true?
log(6x + 10) = log 1 x
92
Answer:
92
Step-by-step explanation:
the system shown is____.
1.inconsistent
2.equivalent
3.consistent
pls help i hive brainliest
Answer:
a)34.746
Step-by-step explanation:
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 22, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
Relative Frequency
1-5
6 - 10
11 - 15
16 - 20
21 - 25
What is the relative frequency for the range 1 -57
a. 0.33
b. 0.4
c. 0.2
d. .27
Find x
There’s 2 problems! Thank you!
Answer:
Step-by-step explanation:
1. x/10=12/15
x*15=10*12
x=10*12/15
x=2*5*3*4/5*3=8
x=8
2. x/9=8/6
x*6=9*8
x=9*8/6
x=3*3*8/3*2=24/2
x=12
WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. x squared divided by 900 plus y squared divided by 169 = 1 x squared divided by 1467 squared plus y squared divided by 736 squared = 1 x squared divided by 736 squared plus y squared divided by 1467 = 1 x squared divided by 169 plus y squared divided by 900 = 1
Answer:
a=567 km+900 km
a=1,467 km
b=567 km+169 km
b=736 km
x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1
Step-by-step explanation:
Answer:
x^2 / 736^2 + y^2 / 1467^2 = 1
Solve C = 2mr for r could not make the correct sign for m
Answer:
C = 2mr =
r=
m=
Step-by-step explanation:
Not sure if it's correct.
The end points of AB are A(2,3) and B(8,1). The perpendicular bisector of AB is CD and point C lies on AB. The length of CD is √10 units. The coordinates of point C are?
Answer and Step-by-step explanation:
Answer:
The coordinates of C are (5 , 2)
The slope of CD is 3
The coordinates of D are (6 , 5) and (4 , -1)
Step-by-step explanation:
* Now lets study the problem
- The ends points of line AB are A = 2 , 3) and B = (8 , 1)
- CD is the perpendicular bisector of AB, and C lies on AB
- That means:
# C is the mid-point of AB
# The slope of AB × the slope of CD = -1 (one of them is a multiplicative
inverse and additive inverse of the other)
-Ex: the slope of one is a/b, then the slope of the other is -b/a
* The mid-point between two points (x1 , y1) and (x2 , y2) is:
[(x1 + x2)/2 , (y1 + y2)/2]
∵ C is the mid-point of AB
∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)
* The coordinates of C are (5 , 2)
- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:
the slope = (y2 - y1)/(x2 - x1)
∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3
∵ CD ⊥ AB
∴ The slope of CD × the slope of AB = -1
∴ The slope of CD = 3
* The slope of CD is 3
- The length of a line passing through points (x1 , y1) and (x2 , y2) is:
the length = √[(x2 - x1)² + (y2 - y1)²]
∵ The length of CD = √10
∵ Point D is (x , y)
∴ (x - 5)² + (y - 2)² = (√10)²
∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)
∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply
∴ (y - 2) = 3(x - 5) ⇒ (2)
- Substitute (2) in (1)
∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify
* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²
∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms
∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides
∴ (x - 5)² = 1 ⇒ take √ for both sides
∴ x - 5 = ± 1
∴ x - 5 = 1 ⇒ add 5 to both sides
∴ x = 6
* OR
∴ x - 5 = -1 ⇒ add 5 to both sides
∴ x = 4
- Substitute the values of x in (2)
∴ y - 2 = 3(6 - 5)
∴ y - 2 = 3 ⇒ add 2
∴ y = 5
* OR
∴ y - 2 = 3(4 - 5)
∴ y - 2 = -3 ⇒ add 2
∴ y = -1
* The coordinates of D are (6 , 5) and (4 , -1)
Select the correct answer.
Which of the following sets of ordered pairs represents a function?
Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}
Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.
In the relations show here, notice that the first set
of ordered pairs is the only set where each x-coordinate
appears once with a different y-coordinate.
In the other ordered pairs, there is an x-coordinate that appears more
than once and it corresponds to a different y-coordinate.
For example, in the second relation,
the x-coordinate -9 appears twice.
In one case, -9 corresponds to -12 and
in the other case, it corresponds to -8.
So, this is not a function.
What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?
A.15
B. 17
C.30
D.32
Answer:
17Option B is the correct option.
Solution,
[tex]2(4z - 5 - 3) = 166 - 46 \\ or \: 8z - 10 - 6 = 120 \\ or \: 8z - 16 = 120 \\ or \: 8z = 120 + 16 \\ or \: 8z = 136 \\ or \: z = \frac{136}{8} \\ z = 17[/tex]
Hope this helps
Answer:
17 is the correct answer
Step-by-step explanation:
2(2×17-5-3)=166-46
2×60=120
120=120
Hence,
z=17
A man purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5
pens at [tex]16 \frac{2}{3} [/tex]% loss. If he received Rs 625 in total, find the cost price of each pen.
help!!!
Answer:
Rs 60
Step-by-step explanation:
[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]
[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]
[tex]5x(1.25)+5x(5/6)=625[/tex]
[tex]10.416667x=625[/tex]
[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]
[tex]x=59.99999...[/tex]
[tex]x=60[/tex]
Z is a positive integer x is 5% more than z. Y is 5% less than x
Answer:
[tex]x>z\\z>y[/tex]
Step-by-step explanation:
[tex]x[/tex] is greater than [tex]z[/tex].
[tex]z[/tex] is greater than [tex]y[/tex].
GET THE RIGHT ANswer n ill make u brainliest
[tex]answer \\ \frac{2}{3} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
"Give your answers to 1 decimal place" help :(
Answer:
[tex]b[/tex] ≈ [tex]12.0[/tex]
Step-by-step explanation:
Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.
[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]
Subtract 144 from both sides
[tex]b^2=145\\[/tex]
Square root both sides
[tex]b=\sqrt{145}[/tex]
[tex]b[/tex] ≈ [tex]12.0[/tex]
Answer:
Step-by-step explanation:
[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]
Hope it helps tell me if its right
Solve x/2 + y/3 = 1 for x
Answer:
[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.
Hope this helped you, Also please let me know if anything is unclear or wrong!
Answer:
Step-by-step explanation:
4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum?
Answer:
f(x) has the greater absolute maximum
Step-by-step explanation:
[tex]f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)[/tex]
so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7
so f(x) has the greater absolute maximum
hope this helps
What number is understood to be the
coefficient (number in front of) of x2
a) 0 B) 1
Answer:
1
Step-by-step explanation: