Answer:
16
Step-by-step explanation:
they got 16 all together in total
Answer:
$10x
Step-by-step explanation:
We know that Krystal got $10 from his father but we don't know how much Krystal got from his mother because there's just x for the amount. So, we can just write that Krystal got $10x altogether.
Hope this helps
Solve for the blanks ?
Answer:
Equation: 4x+1+75=180
X= 26
105°
Step-by-step explanation:
When added, the two angles would create a flat angle of 180°, so just add the two angles:
4x+1+75=180
4x+76=180
-76 -76
4x=104
x=26
Input the solved x value into the angle to get the angle measure
4(26)+1 = 105
Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30
whoever answer this first gets 30 points
Answer:
-3x+30
Step-by-step explanation:
[tex]4\left(x+7\right)-7x+2[/tex]
Expand [tex]4(x+7)= 4x+28[/tex]
[tex]4x+28-7x+2[/tex]
Simplify [tex]4x+28-7x+2[/tex]
[tex]-3x+30[/tex]
Solving three variables systems of equations
Answer:
D
Step-by-step explanation:
bbbbuujbhhtdddfyuuiiiiiooohhgff
Answer:
D...
Step-by-step explanation:
d is the answer hope it helps
Solve the system of equations by graphing.
x + y = -9
4x + y = -19
Answer:
(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )
Step-by-step explanation:
x + y = -9 --> y = -x -9
4x + y = -19 --> y = -4x - 19
Graph accordingly.
need help with this Q&A 5
Answer:
C
Step-by-step explanation:
answer choices:
A.) 31
B.) 41
C.) 19
D.) 35
Answer:
A
Step-by-step explanation:
If lines are parallel and intersected by another line then there are 2 alternating angles between them.
Today is your 10th birthday, and you decide to start saving for your college education. You will begin college on your 20th birthday and will need to pay ksh144,000 at beginning of first in a 4- year program. Fees will increase at inflation rate of 10% per year. You will make a deposit 1 year from today in an account paying 12% (percent) annually and continue to make an identical deposit each year up to and including the year you begin college. What should be the size of your deposit?
Answer:
The size of your deposit should be $13,023.92.
Step-by-step explanation:
First, the real interest has to be calculated using the following formula:
r = [(1 + i) / (1 + inf)] - 1 ..................... (1)
Where;
i = market interest rate = Interest rate on the account = 12%, or 0.12
r = real interest rate = ?
inf = inflation rate = 10%, or 0.10
Substituting the values into equation (1) and solve for r, we have:
r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183
Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:
FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)
Where,
FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000
P = Fixed annual payment or size of the deposit = ?
r = real interest rate = 0.0181818181818183
n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)
Substituting the values into equation (2) and solve for P, we have:
144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)
144,000 = P * 10.8591414092614 * 1.0181818181818183
144,000 = P * 11.0565803439752
P = 144,000 / 11.0565803439752
P = $ 13,023.92
Therefore, the size of your deposit should be $13,023.92.
The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = \frac{1}{9} \times 9\\[/tex]
[tex] = \frac{9}{9} \\[/tex]
[tex] = \frac{1}{1} \\[/tex]
[tex] = 1\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
PLEASE HELP PLEASE PLEASE PLEASE PLEASE
Answer:
1: 98
2: 82
3: 98
4: 82
Step-by-step explanation:
So 2 is 82deg then the opposite is also 82 so 4 is 82deg
Then 82+82 = 164deg, and we remain with 360deg-164deg which is = 196.
Since the other two angles will be equal (they are opposite each other) we can decide 196/2 = 98
So 3 and 1 are 98deg
Answer:
Step
<2 and <4 are vertically opposite. They are equal
<2 = 82 Given
<4 = 82 Vertically opposite to a given
<3 = 180 - 82 <3 and <4 are supplementary. They are on the same straight line.
<3 = 98
<1 = 98 Vertically opposite angles are equal.
Can someone tell me if this is the correct choice?
Answer:
Step-by-step explanation:
It's not the correct choice. If a root is given, that is the same thing as the solution. We go backwards from a solution to a factor, which is what you need to do here.
If x = 2i is the solution, then the factor is
(x - 2i). Likewise, with the other one.
If x = 3i is the solution, then the factor is
(x - 3i). The leading coefficient of 1 just sits outside the first set of parenthesis, and because multiplication is commutative, it doesn't matter which set you put first. Thus, the one you want looks like this:
f(x) = (x - 2i)(x - 3i) or
f(x) = (x - 3i)(x - 2i).
Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd what do you need to do explain in terms of BEC
Answer:
Following are the response to the given question:
Step-by-step explanation:
Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE
Complete Question:
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?
*The circle is attached below in the attachment
Answer:
BD = 11
Step-by-step explanation:
Given:
AE = x
EC = x + 12
BE = x + 2
ED = x + 5
Required:
Length of BD
Solution:
First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem
x(x + 5) + 2(x + 5) = x(x + 12)
x² + 5x + 2x + 10 = x² + 12x
Add like terms
x² + 7x + 10 = x² + 12x
Subtract x² from each side
x² + 7x + 10 - x² = x² + 12x - x²
7x + 10 = 12x
10 = 12x - 7x
10 = 5x
10/5 = 5x/5
2 = x
x = 2
Next, find BD:
BD = BE + ED
BD = x + 2 + x + 5
Add like terms
BD = 2x + 7
Plug in the value of x
BD = 2(2) + 7
BD = 4 + 7
BD = 11
Answer:
What is BD?
11 units
Step-by-step explanation:
What is the coefficient in the expression shown?
Answer:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.
Step-by-step explanation:
Given g(x) = |2x + 1), find the values of x if g(x)=5
Answer: 11
Step-by-step explanation:
g(x)=(2x+1)
g(x)=5
g(5)=2(5)+1
=10+1
g(5) =11
What is the distance between the bank and Hiroto's house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
Answer:
The distance is 12 miles
Step-by-step explanation:
Given
See attachment for grid
Required
The distance
From the attached:
[tex]B = (-8,6)[/tex] --- Bank
[tex]H = (4,6)[/tex] --- Hiroto's house
Using distance formula, we have:
[tex]d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]
[tex]d = \sqrt{(-12)^2}[/tex]
[tex]d = \sqrt{144}[/tex]
[tex]d = 12[/tex]
find atleast 3 solutions for the following linear equation in two variables:2x + 3y = 4
First solution :
Say, x = 0
→ 2x + 3y = 4
→ 2(0) + 3y = 4
→ 0 + 3y = 4
→ 3y = 4
→ y = 4/3
x = 0, y = 4/3Second solution :
Say, x = 1
→ 2x + 3y = 4
→ 2(1) + 3y = 4
→ 2 + 3y = 4
→ 3y = 4 - 2
→ 3y = 2
→ y = 2/3
x = 1, y = 2/3Third solution :
Say, x = 2
→ 2x + 3y = 4
→ 2(2) + 3y = 4
→ 4 + 3y = 4
→ 3y = 4 - 4
→ 3y = 0
→ y = 0 ÷ 3
→ y = 0
x = 2, y = 0find the area of this figure 15ft 10ft 10ft 5
Answer:
150 feet2 50 feet I hope this helps!
Step-by-step explanation:
Please help. I really need to pass this.
Answer:
3.75
Step-by-step explanation:
r²+9²=(6+r) ²
r²+81 = 36+12r + r²
81=36+12r
=> 12r = 45
r = 45/12 = 3.75
Question 4 Multiple Choice Worth 1 points)
(01.02 MC)
Solve for :
2 x -
(x - 2) = 4x
Answer:
[tex]\small \sf \frac{2}{3} = x \\ [/tex]
Step-by-step explanation:
Solve for x;
2x - ( x - 2 ) = 4x
distribute minus sign through parantheses
2x - x + 2 = 4xcombine like terms
x + 2 = 4xsubtract x from both side
x - x + 2 = 4x - x2 = 3 xDivide each side by 3
[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]
[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]
April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.
What is the complement of April choosing five pop CDs?
choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
choosing five CDs where all of them are pop
Answer:
Choosing five CDs where not all of them are pop.
Step-by-step explanation:
Answer:
B) choosing five CDs where not all of them are pop
Step-by-step explanation:
E2020
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 34 minutes and a standard deviation of 2
minutes. If you visit that restaurant 26 times this year, what is the expected number
of times that you would expect to wait longer than 38 minutes, to the nearest whole
number?
In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
Change the negative exponent to a positive exponent
Answer:
[tex] \frac{1}{ {6}^{8} } [/tex]
Step-by-step explanation:
when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power
Example: 5^-2 = 1/5^2
a classrom contains 25 children ,out of which 6 are girls.What percent are boys?
Answer:
76%
Step-by-step explanation:
Number of students=25
Number of girls=6
Number of boys=25-6=19
% of boys=number of boys/number of students x 100
=19/25x100
=19x4=76%
At a grocery store, you want to buy lb of 2 1/2cheese What decimal should the digital scale show
Answer:
The tenths place.
Step-by-step explanation:
If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.
Answer:
tenths place
Step-by-step explanation:
What is the area please?
Answer:
104
Step-by-step explanation:
18 for the bottom section, 35 for the middle section, and 51 for the top triangle.
HELP THIS IS MY LAST ASSIGNMENT FOR MATH
Answer:
Decompose each number:
\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}
6)90=9×10
7)40=4×10
8)890=89×10
9)300=3×100
10)7000=7×1000
11)3700=37×100
Correct the error. Write the correct decomposition:
\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}
12)560=56×10
13)4300=43×100
14)6000=60×100 or 6×1000
20. A smaller rectangle is centered within a larger rectangle such that the shaded area is created as shown below. The dimensions of both rectangles are shown in terms of x.
i don´t know how to solve this
Step-by-step explanation:
please check the attachment
How many terms are in this expression 4+3c
Answer: there are 2 terms
Step-by-step explanation: A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. ... Examples of single terms: 3x is a single term.
2 terms
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.