Answer:
The number is:
1
Step-by-step explanation:
3(7+a) = 24
3*7 + 3*a = 24
21 + 3a = 24
3a = 24 - 21
3a = 3
a = 3/3
a = 1
a statement that can be proven is called
Answer:
Theorem is a statement that can be proven .
Hope it helps.
I WILL GIVE BRAINLIEST a scale on a map shows that 2 inches = 25 miles Part A: How many inches on the map = 60 miles? ------------------------------------------------------------------------ Part B: How many miles are represented by 1/4 inch on the map?
Answer:
4.8 in, 3.125 mi
Step-by-step explanation:
This situation models direct proportionality, hence, if one variable increases, the other goes increases as well and vice versa. In this case, the variables are inches and miles.
Part A: Since you multiply 60/25 by 25 to get 60 miles, we know that the value in inches will be 2 * 60/25 = 4.8 inches.
Part B: Since you divide 2 by 8 to get 1/4 inches, we know that the value in miles will be 25 / 8 = 3.125 miles.
What is the answer to this problem (5x- 10) - 9
on Tuesday at low tide the water was 17 ft below sea level. Then it rained for three days and the water level rose 20 feet. On Saturday it the water level dropped 5 ft and by Sunday it dropped another 3 feet. what was the water level by the end of the day on Sunday?
Find the standard equation of the circle defined by the equation x^2 + y^2 +8x - 12y + 43 = 0. ANSWERS ATTACHED, due in 2 HOURS, will give Brainliest!
Answer:
Solution: Option C
Step-by-step explanation:
Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).
[tex]x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0[/tex] (Factor the expression "x² + 8x")
[tex]x^2+8x = x\left(x+8\right)[/tex] (Factor the expression "y² - 12y")
[tex]\:y^2-12y =y\left(y-12\right)[/tex]
That leaves us with the expression [tex]\left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2[/tex], or in other words [tex](x+4)^2 +(y-6)^2 = 9[/tex]. As you can see our solution is option c.
Suppose A has a coordinate of 8 and AB = 3. What are the possible midpoints of AB?
Answer:
The possible midpoints of AB are 6.5 and 9.5
Step-by-step explanation:
Given that the coordinates of A is 8
The length of AB = 3
When A is the maximum coordinates of the two coordinates, A and B, we have;
The midpoint of AB = Coordinates of A - 1/2 × Length of AB
The midpoint of AB = 8 - 1/2 × 3 = 8 - 1.5 = 6.5
The midpoint of AB = 6.5
When A is the minimum coordinates of the two coordinates, A and B, we have;
The midpoint of AB = Coordinates of A + 1/2 × Length of AB
The midpoint of AB = 8 + 1/2 × 3 = 8 + 1.5 = 9.5
The midpoint of AB = 9.5
Therefore, the possible midpoints of AB are 6.5 and 9.5.
1
Parallel lines s and t are intersected by transversal lines fand g, as shown in the figure below. What is the measure of angle 1?
g
st
OA. 46°
ОВ.
136°
OC.
44°
OD. 134
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Next Question
I need the answer ASAP
Please help its due in a hour
Answer:
160
Step-by-step explanation:
because 360 is the total and 50 plus 50 is 100 subtract that by 360 and it's 160
Can somebody help me with this ?? :)
Answer:
Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.
Step-by-step explanation:
I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions !
Hope this helped
PLS HELP I NEED ASAP DUE TODAY 1.Which variable expression is a translation of the word phrase "three less than the product of a number and six"? 3−6n 6n−3 6(3−n) 6(n−3) 2.Fatima is three times the age of her younger sister Melody. Which expresses both ages in terms of Melody’s age m? Melody: m3 Fatima: m Melody: 3m Fatima: m Melody: m Fatima: 3m Melody: m Fatima: m + 3 Assessment navigation 3.A triangle has sides of length 10, 8, and y inches. Which is an expression for the perimeter of the triangle, and what is the perimeter when y = 7? y(10+8) The perimeter is 126 inches when y = 7. 10(y+8) The perimeter is150 inches when y = 7. 8(10+y) The perimeter is 136 inches when y = 7. y + 10 + 8 The perimeter is 25 inches when y = 7.
Answer:
1. 3 − 6n
2. Melody: m Fatima: 3m
3. i. Perimeter = y + 10 + 8
ii. The perimeter is 25 inches when y = 7
Step-by-step explanation:
1. Let the number be represented by n, thus the product of the number and 6 is 6n. Since 3 is less than 6n, therefore: 3 - 6n is the appropriate expression.
2. Let Melody's age be represented by m, Fatima is three times Melody's age implies 3m. So that Melody's age is m, while Fatima's age is 3m.
3. Length of the sides of the triangle in inches are 10, 8 and y.
Perimeter = addition of the length of sides of the triangle
= 10 + 8 + y
When y = 7,
Perimeter = 10 + 8 + 7
= 25 inches
Answer:
3-6n
Step-by-step explanation:
Combine like terms to create an equivalent expression. 2/5m - 4/5 - 3/5m.
Answer:
Step-by-step explanation:
2/5 m and -3/5 are like terms
[tex]\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m= \frac{2}{5}m-\frac{3}{5}m-\frac{4}{5}\\\\\\=\frac{(2-3)}{5}m-\frac{4}{5}\\\\\\=-\frac{1}{5}m-\frac{4}{5}[/tex]
find the coordinates of the other endpoint of the segment of one endpoint is (-2,-7) and midpoint is (6,-10)
Answer:
(14, - 13 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let (x₁, y₁ ) = (- 2, - 7) and (x₂, y₂ ) = (x, y)
Using the midpoint formulae equate to the coordinates of the midpoint.
[tex]\frac{1}{2}[/tex] (- 2 + x) = 6 ( multiply both sides by 2 )
- 2 + x = 12 ( add 2 to each side )
x = 14
and
[tex]\frac{1}{2}[/tex] (- 7 + y ) = - 10 ( multiply both sides by 2 )
- 7 + y = - 20 ( add 7 to both sides )
y = - 13
Thus
coordinates of other endpoint = (14, - 13 )
Please help Faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaast 2x ≤ − 2/7 (8x + 8)
Answer:
[tex]x\leq - \frac{8}{15} [/tex]Step-by-step explanation:
[tex]2x \leq - \frac{2}{7} (8x + 8)[/tex]First of all multiply through by 7
We have
[tex]14x\leq - 2(8x + 8)[/tex]Expand the terms in the bracket
That's
[tex]14x\leq - 16x - 16[/tex]Add 16x to both sides
That's
[tex]14x + 16x\leq16x - 16x - 16 \\30x\leq - 16[/tex]Divide both sides by 30
We have the final answer as
[tex]x\leq - \frac{8}{15} [/tex]Hope this helps you
You get paid $6.80 per hour and worked 4 hours of overtime last week .How much overtime pay will you receive for last week ?
Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
to Beaker Y, there will be 3/7 as much water in Beaker X as in Beaker Y. IF 100 ml
of water is transferred from Beaker Y to Beaker X, there will be 4 times as much
water in Beaker X as in Beaker Y. How much water is there in Beaker X?
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
Then we get following equations:
First part
x - 50 = 3/7(y + 50)7x -350 = 3y + 1507x = 3y + 500Second part
x + 100 = 4(y - 100) x + 100 = 4y - 400x = 4y - 500Substitute x in first equation:
7(4y - 500) = 3y + 50028y - 3500 = 3y + 50028y - 3y = 500 + 350025y = 4000y = 4000/25y = 160 mlThen finding x:
x = 4*160 - 500x = 640 - 500x = 140 mlInitial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
A bakery sold a total of 500 cupcakes in a day, and 200 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40\% \: }}}}}[/tex]
Step-by-step explanation:
Total number of cupcakes = 500
Total number of mocha flavored cupcakes = 200
To find : percentage of mocha flavored cupcakes sold that day
[tex] \boxed{ \sf{ \frac{total \: number \: of \: mocha \: flavored \: cupcakes}{total \: number \: of \: cupcakes} \times 100 \: \% \: }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{200}{500} \times 100\%}}[/tex]
[tex] \dashrightarrow{ \sf{40 \: \% \: }}[/tex]
Hope I helped!
Best regards ! :D
Answer:
40% were mocha flavored cupcakes.
Step-by-step explanation:
200/500 = 2/5
2/5 = 40%
Hope it helped you!
Help needed ASAP will give brainliest
Answer:
I guess the answer is going to be 9/5
if f(x)=3(x+5) +4/x, what is f(a+2)
Answer:
f(a+2)=3(a+7)+4/(a+2)
Step-by-step explanation:
To determinef(a+2) you need to substitute a+2 for each occurrence of x in the given function. See below for full explanation.
Explanation:
If
f(x)=3(x+5)+4/x
Then
f(a+2)=3(a+2+5)+4/a+2
Simplifying gives:
f(a+2)=3(a+7)+4/(a+2)
find the length of the line segment AB if the coordinates of the end points are A (-1, 5) & B (3,11)
Answer:
5,6
Step-by-step explanation:
36=6u+30 PLEASE HELPPPP!!!
Answer: u = 1
36 = 6(1)+30
Step-by-step explanation:
Answer:
1=u
Step-by-step explanation:
36-30=6u+30-30
6=6u
6÷6=6u÷6
1=u
What’s the area of a square with the vertices (3,3),(6,6),(9,3), and (6,0)
Answer:
I believe the area of a square with those vertices is 16 units
Find the remainder when (2x^2 +2x+1) is divided by ( x+1)
Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,
[tex]p(x)=2x^2+2x+1[/tex]
[tex]c=-1[/tex]
[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]
State the amplitude and period of f(t) = -0.3sin t/3
Answer:
Amplitude is 0.3; period is 6π
Step-by-step explanation:
The amplitude is |-0.3| = 0.3.
The period and frequency are related through
2π
period = ----------
b
where b is the coefficient of the independent variable; here that coefficient is 1/3.
Thus, the period here is found using b = 1/3:
period = 2π/b, or 2π/(1/3), or 6π
a rectangle has a height of w^2+3w+9 and a width of w^2+2 express the area of the entire rectangle
Answer:
w⁴ + 3w³ + 11w² + 6w + 18
Step-by-step explanation:
Rectanle area = height * width
area = (w²+3w+9)(w² + 2)
= w²*w² + w²*2 + 3w*w² + 3w*2 + 9*w² + 9*2
= w⁴ + 2w² + 3w³ + 6w + 9w² + 18
= w⁴+ 3w³ + (9w²+2w²) + 6w + 18
= w⁴ + 3w³ + 11w² + 6w + 18
Answer:
w^4 + 3w^3 + 11w^2 + 6w + 18.
Step-by-step explanation:
Area = height * width
= (w^2 + 2)(w^2 + 3w + 9)
= w^2(w^2 + 3w + 9) + 2(w^2 + 3w + 9)
= w^4 + 3w^3 + 9w^2 + 2w^2 + 6w + 18
= w^4 + 3w^3 + 11w^2 + 6w + 18.
You are choosing between two different cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $39.95 plus 12 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.
Answer:
285.28571429 minutes
Step-by-step explanation:
Let us represent
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 26 cents per minute
Converting cents to dollars
100 cents = 1 dollars
26 cents =
26/100 cents
=$ 0.26
C1 = $0.26 × t
C1 = 0.26t .......... Equation 1
Second Plan
The second plan charges a monthly fee of $39.95 plus 12 cents per minute
Converting 12 cents to dollars
100 cents = 1 dollars
12 cents =
12/100
= $0.12
C2 = $39.95 + 0.12t........Equation 2
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.26t = $39.95 + 0.12t
Collect like terms
0.26t - 0.12t = $39.95
= 0.14t = $39.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 285.28571429 minutes
Therefore, the number of talk minutes that would produce the same cost for both plans is 285.28571429 minutes.
Sara bought a meal in a town that has no sales tax. If she tipped 20% and paid a total of $18.96, what was the original cost of her meal?
Answer: $18.76
Step-by-step explanation:
Let original cost of meal =x
According to question,
x+20%=18.96
x=18.96-20%
x=$18.76
Answer:
original cost of meal = $15.80
Step-by-step explanation:
120% = $18.96 (divide both sides by 120)
1% = $0.158 (multiply both sides by 100)
100% = $15.80
hope this helps...
Is -3 a natural number a whole number a integer a rational number or irrational number
Answer:
-3 is a rational integer.
Step-by-step explanation:
An integer is a superset of the whole numbers that includes the negated values as well as 0.
A rational number is simply anything that can be expressed as a fraction.
-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.
-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.
And -3 is also not an irrational number since it can be expressed as a fraction.
Thus, -3 is a rational integer.
Cheers.
Which ordered pair would form a proportional relationship with the point graphed below?
ТУ
40
30
20
10
-40-30-20-1904 10 20 30 40 x
2
Bo
(-10,-40)
440
O (40, 10)
(-5, -10)
(5, 20)
O (-10.-20)
Answer:
(10, -20)
Step-by-step explanation:
i took the test plz put me as brainist
Expand (3+√5)(2+√5)
Give your answer in the form a+b√5 where a and b are integers.
Answer:
11 + 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Note that [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5
Given
(3 + [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + [tex]\sqrt{5}[/tex] ) + [tex]\sqrt{5}[/tex](2 + [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 6 + 3[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] + 5 ← collect like terms
= 11 + 5[tex]\sqrt{5}[/tex] ← in the form a + b[tex]\sqrt{5}[/tex]
with a = 11 and b = 5
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)
Answer:
[tex]-(3.4p-6q+6)[/tex] = [tex]-3.4p+6q-6[/tex]
Step-by-step explanation:
Given
[tex]-(3.4p-6q+6)[/tex]
Required
Simplify
[tex]-(3.4p-6q+6)[/tex]
Rewrite as
[tex]-1(3.4p-6q+6)[/tex]
[tex]-1 * (3.4p-6q+6)[/tex]
Open the bracket
[tex]-3.4p+6q-6[/tex]