Answer:
Ann = 112.5 and Annie = 157.5
Step-by-step explanation:
7-5 = 2
One share = 45/2 = 22.50
Ann = 22.5 x 5 = 112.50
Annie = 22.5 x 7 = 157.50
You can check this is correct my subtracting them from each other and confirming that Annie has 45 more dollars than ann
Hope this helps!!
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
Learn more about the substitution method visit:
https://brainly.com/question/26094713
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4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
For the equation, x - 7 = 24, can a value be substituted for x to make the equation a true number sentence?
Answer:
yes, 31
Step-by-step explanation:
just switch the equation around:
24+ 7 = 31
and then back again:
31- 7= 24
p- (9-(m + q)); use m=4, p=5, and q=3
Answer:
3
Step-by-step explanation:
p-(9-(m+q))
5-(9-(4+3))
=5-(9-7)
=5-2
=3
Product of (×-3)(2ײ-5×+1)
Answer:
The answer is 2x³+15x-6x²-2.
Step-by-step explanation:
(x-3)(2x²-5x+1)
2x³+1-6x²+15x-3
= 2x³-2+15x-6x²
Factor this polynomial completely.
x2 - 81
Hiii! can someone please help me with my maths question
Form a quadratic equation and find the length of AB
Step-by-step explanation:
a^2 + b^2 = c^2
(x+2)^2 + 4x^2 = (3x+4)^2
(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)
x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16
5x^2 + 4x + 4 = 9x^2 + 24x + 16
-4x^2 - 20x - 12 = 0
now we can use the quadratic formula
(-b±√(b²-4ac))/(2a)
I can't type all this so
.....
x = -0.697224362 or -4.302775638
AB can't be negative so it's the first one
so it's equals to 1.302775638
A and B are partners sharing profit and loss in the ratio of 3:2. A new partner C is admitted and 1/4 share off profit is given.what is the new profit sharing ratio ?
Answer:
Correct option is: 9:6:5
Step-by-step explanation:
I'm not sure but hope it helps.
Which equation has the correct sign on the product?
A. (-11)9 = 99
B. (-12)(-12) = 144
C. 17 x 3 = -51
D. 25(-5) = 125
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
A. (-11)9 = 99 Negative * positive = negative
B. (-12)(-12) = 144 negative * negative = positive
C. 17 x 3 = -51 positive * positive = positive
D. 25(-5) = 125 positive* negative = negative
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
Cindy multiple her age by 5, subtracted 12, and then divide by 3. The result was 16. How old is Cindy?
Let's give Cindy's age a variable.
Cindy's age = x
Cindy multiplies her age by 5
x(5)
Subtracted by 12
x(5) - 12
Divide by 3
(5x - 12)/3
The result was 16
(5x - 12)/3 = 16
Let's solve
Multiply both sides by 3
(5x - 12) = 48
Open brackets
5x - 12 = 48
Add 12 to both sides
5x = 60
Divide by 5 on both sides to isolate x
x = 12
Cindy is 12 years old.
Wayne plans to replace the ventilating fand in the oldest greenhouse and needs to know its volume. The greenhouse is shaped of a half of a cylinder, Its diameter is 40 feet, Its length is 120 feet, using 3.14 for pi, how many cubic feet does the greenhouse enclose?
Answer:
628.
Step-by-step explanation:
We need to calculate the radius of the cylinder :
40/2 = 20 feet
We then will calculate the volume of the whole cylinder:
[tex]V = \pi * r^{2} * h = 3.14 * 20^{2} * 120 = 1256[/tex] cubic feet.
However, Wayne greenhouse is just a half of a cylinder, so it's volume are:
[tex]1256 / 2 = 628[/tex] cubic feet.
I'm vietanh and have a good day!
ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
Answer:
1.6
Step-by-step explanation:
an integer is defined as any positive or negative whole number.
1.6=16/10=8/5 . This is a fraction
0 is a whole number
8 is a whole number
-15 is a whole number
pls mark as brainliest. Thanks
Where is the blue dot on the number line?
-4.5
-5
-5.5
Answer:
the answers is -4.9
Step-by-step explanation:
if you count from -4.5 to the blue dot it will be -4.9
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
Find x. Simplify completely.
х
9
10
Answer:
10
Step-by-step explanation:
geometric mean theorem :
h = sqrt(pq)
p, q being the segments on the Hypotenuse of the right-angled triangle.
so, x = sqrt(9×10) = 3×sqrt(10)
Helpppppppppppppppppppp
Answer:
Step 1
Step-by-step explanation:
[tex]7 \times (8 - 3\times 2)[/tex]
Step 1:
[tex] = 7 \times (8 - 6)[/tex]
Step 2:
[tex]7 \times 2[/tex]
Step 3:
[tex]14[/tex]
What are the missing numbers on the two number lines?
Answer:
C is -14, 7, 14, 28
not sure what D is
Step-by-step explanation:
What is the quotient of 8,595 ÷ 24?
its 3 hope this helpssss
A rectangle has perimeter 66 cm and length 27 cm. What is its width?
(help pls it’s my hw)
Answer:
Step-by-step explanation:
A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12
so 1 width is half of 12 which is 6
Evaluate (2-5i)(p+q) when p=2 and q=5i
Answer:
(2-5i)(p+q)
p=2
q=5i
(2-5i)(2+5i)
a²-b²=(a+b)(a-b)
2²-(5i)²
4-(5i)²
i²=-1
4+25=29
answer 29
find the cube of a+3
Answer:
(a+3)^3
a^3 + b^3 + 3ab [identity : (a+b)^3 )]
a^3+ 3^3 + 3×a×3
a^3 +27+9a
answer : a^3+27+9a
hope it helps you
mrk me braniliest plz
Answer:
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Step-by-step explanation:
[tex](a + 3 {)}^{3} [/tex]
[tex] {a}^{3} +3 {a}^{2} \times 3+3a \times {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +3a× {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+ {3}^{2} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Hope it is helpful...4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
-13 = [tex]\frac{r}{9}[/tex] +8
what is r?
Answer:
[tex] - 13= \frac{r}{9} + 8 \\ \frac{r}{9} = - 13 - 8 \\ \frac{r}{9} = - 21 \\ r = 9 \times - 21 \\ r = - 189[/tex]
I hope I helped you^_^
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation:
more algebra............
Answer:
C
Step-by-step explanation:
this is the answer since it involves a minus sign
simplify the problem thank you
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]
1.
Input
Output
-5
0
1
2
(2,0)
% (-5,314)
1 27
3,87
2
3
8
a. Is the relation a function? Explain
Help Me with this Math question Please
9514 1404 393
Answer:
21 square units
Step-by-step explanation:
The formula for the area of a parallelogram is ...
A = bh
where h is the height measured perpendicular to the base.
Here, it is convenient to use the horizontal dimension as the height, and the vertical dimension as the base. The vertical bases are 3 units long and 7 units apart horizontally.
A = (3)(7) = 21 . . . . square units
Estimate the value of the following to the tenths decimal place.
Answer:
-12.2
Step-by-step explanation:
-12.247448....
-12.2
plss mark me brainliesttt
formula to calculate area of quadrilateral when Co ordinates are given please answer it anyone please...
[tex]\sf \orange {Please \: attach \: the \: picture \: of \:}[/tex]
[tex]\sf \green {the \: Quadrilateral \: please.} \: [/tex]