Work Shown:
AC = AB + BC
AC = (7x-24) + (6x - 2)
AC = (7x+6x) + (-24-2)
AC = 13x - 26
This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.
The area of a triangular flower bed in the park has an area of
120 square feet. The base is six feet shorter than three times the height. What are the base and height of the triangle?
Answer:
b = 24 ft
h = 10 ft
Step-by-step explanation:
120 = ½hb
120 = ½h(3h - 6)
240 = h(3h - 6)
240 = 3h² - 6h
80 = h² - 2h
0 = h² - 2h - 80
0 = (h - 10)(h + 8)
h = 10 ft or -8 ft
we ignore -8 as it makes no sense for a triangle side length.
b = 3(10) - 6 = 24 ft
Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?
Answer:
80 dollars is the correct answer
Answer:
Step-by-step explanation:
1050=1000(1+.5*i)
i= 10%
Solve for x given that
4x + 2
7
Answer:
x = - 1/2 or -0.5
Step-by-step explanation:
Steps on the pic above
At a sale this week, a desk is being sold for $285.60. This is 34% of the original price.
What is the original price?
well, let's say the original price is "x", which namely 100% of the price of the product, we also know that 285.60 is 34% of that.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 285.60&34 \end{array}\implies \cfrac{x}{285.60}=\cfrac{100}{34}\implies \cfrac{x}{285.60}=\cfrac{50}{17} \\\\\\ 17x=14280\implies x = \cfrac{14280}{17}\implies x = 840[/tex]
If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y
−
x
)
Answer:
8
Step-by-step explanation:
x =2, y=6
2(y-x)
#subsitute the variables with their values
2*(6-2)
2*4
8
Alternative(don't do it this way, it's unnecessary but it can be done):
x =2, y=6
2(y-x)
2y - 2x
(2*6) - (2*2)
12 - 4
8
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?
Answer:
680
Step-by-step explanation:
Based on the given conditions, formulate: 17 × ( 23 + 17 )
Calculate the sum or difference: 17 × 40
Calculate the product or quotient: 680
get the result: 680
Answer: 680
(Hope this helps can I pls have brainlist (crown)☺️)
¿Qué fuerza media se requiere para que un objeto de 2 Kg aumente su velocidad de 5 m/s a 12 m/s en una distancia de 8 m?
Answer:
14.87
Step-by-step explanation:
Para conocer cual es la fuerza que necesita el cuerpo para aumentar su velocidad de 5 m/s a 12 m/s en 8 m
Necesitamos conocer la aceleración y para conocer la aceleración debemos saber cuanto tiempo tarda en recorrer los 8m
Vf = Vo +a(t)
12 = 5 +a(t) -------> Vamos a despejar el tiempo.
t = 7/a
X= Vo(t) +1/2a(t²)
X= 5(7/a)+1/2a( 7/a )²
8 = 35/a+49/2a
a = 7.43 m/s²
Ahora que conocemos la aceleración podemos calcular la fuerza como:
F = m*a
F = 7.43 * 2 kg.
F = 14.87
What is the numerical answer?
length = inches
Answer:
31.5 inches
Step-by-step explanation:
If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.
HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3
Step-by-step explanation:
D is the right answer.
remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.
the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.
these 2 facts make D the right answer.
The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 48. When x = 48, y = what.
Y might be 84. Considering 6*8=48, it would probably be the same with Y, so 14*6=84.
Hopefully this is correct but sorry if it isn't.
PLZZ HELP!! I just dont understand it correctly
Answer:
Aidan can expect to save about $17.63 each week.
Step-by-step explanation:
We have an equation: y = 17.63x + 27.52. This equation is in slope-intercept form. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.
Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent total amount saved, and our x-values represent number of weeks. Y over x... so, total amount saved over a certain number of weeks.
The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)
A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?
Answer:
15
Step-by-step explanation:
pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!
Step-by-step explanation:
Part A:Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:
The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.
An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.
The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.
Part B:The function that represents the given situation is:
C(x) = 5x + 35
In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:
C(x) = 5x + 35
60 = 5x + 35
Subtract 35 from both sides:
60 - 35 = 5x + 35 - 35
25 = 5x
Divide both sides by 5 to solve for x:
[tex]\frac{25}{5} = \frac{5x}{5}[/tex]
x = 5
Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.
Note:
Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.
help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,
Answer:
35
Step-by-step explanation:
if not correct I'm very very sorry I tried my best for this</3
How many hours in a day?
Answer:24 hours are in a day
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263
The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The marketing team has gathered data from a random month, in which there were 2039 class attendees.
The probability that a class attendee is a non-member of the gym and is attending a barre class
= 185/2039
= 0.09
The probability that a class attendee is a member of the gym and is attending a boot camp class
= 204/2039
= 0.10004
The probability for both the event would be
= 0.09 x 0.10004
= 0.009
The complete question is attached with the answer below.
Learn more about probability here;
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What is the rectangular form of theta = 3pi/4?
Please answer this question if you 100% know this answer.
a. x - y = 0
b. x - y = 1
c. x + y = 0
d. x + y = 1
The answer was not a.
Answer:
c. x + y = 0
Step-by-step explanation:
The terminal ray of the angle θ = 3π/4 extends to the upper left through the 2nd quadrant with a slope of -1. It lies on the line ...
y = -x
x + y = 0 . . . . . . add x to get this standard form equation
Evaluate 4c - 3
When c = -2
Answer:
-11
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
4*-2=-8
-8 -3=-5
whats the answer can someone answer please
Answer:
both are c
Step-by-step explanation:
For each value of v, determine whether it is a solution to 59 = 3 - 7v.
Answer:
[tex]59=3-7v[/tex]
Subtract 3 from both sides:
[tex]59-3=3-7v-3[/tex]
[tex]56=-7v[/tex]
[tex]-7v=56[/tex]
[tex]v=-8[/tex]
-8 is the only solution.
Answer:
well I think it's -6
Step-by-step explanation:
7×-6=-42+3=39
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
someone help me with these 2 questions asap!!
Step-by-step explanation:
we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.
going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?
27 × x = 9
x = 9/27 = 1/3
that is the scale factor.
Five kittens are sharing 6 cups of milk equally. How much milk does each kitten get?
Answer:
1 1/5
Step-by-step explanation:
We know that there is 5 kittens that have to eat six bowls of milk
Each cat would get 1 whole bowl of milk. All the kittens have to share 1/5 of the sixth bowl of milk.
Five kittens are sharing 6 cups of milk equally so 1 1/5 cup of milk is given to each kitten.
What is meant by Mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Expressions in writing are made using mathematical operators such addition, subtraction, multiplication, and division.. For instance, the mathematical equation for "4 added to 2" will be 2+4.
Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations. For instance, the arithmetic operation 9 + 14/2 - 6*(5 + 3) results in -32.
Given,
6 cup of milk so there are 5 kitten
To give 6 cup of milk to 5 kitten is=6/5
= 6/5
=1 1/5
Therefore Five kittens are sharing 6 cups of milk equally so 1 1/5 cup of milk is given to each kitten.
To learn more about Mathematical expression refer to:
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**PLEASE ANSWER OMG LITERALLY EVERY TIME I TRY POSTING A QUESTION NO ONE EVER ANSWERS**
The rectangle below is dilated by a scale factor of 3/2. Find the area of the dilated rectangle.
Answer:
108 square units
Step-by-step explanation:
When the dimensions are multiplied by 3/2, they become ...
8·3/2 = 12
6·3/2 = 9
Then the area of the dilated figure is ...
A = LW
A = 12·9 = 108 . . . . square units
_____
Additional comment
If you're paying attention, you see that the original area is multiplied by the square of the scale factor.
A = LW
A = (8·3/2)(6·3/2) = (8·6)·(3/2)²
This is generally true for the area of scaled figures: the original area is multiplied by the square of the scale factor to get the area of the scaled figure.
A refreshment stand makes 5 large servings of frozen yogurt from 8 pints. Graph the line and then write
its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
Answer:
x= (8/5)
Step-by-step explanation:
x= 8÷5
evaluate the equation/expression
x=1.6
then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5
Answer:
Pls help me I think its 5/8
Step-by-step explanation:
x + 6 - 6x + 10
integers
Answer:
-5x + 16
Step-by-step explanation:
I didn't see a equal sign so I assume that x cannot be x = -5/16
So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.
To get my final answer as -5x + 16.
Write the expression 4^4(4^-7)(4) using a single exponent
[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]
Answer:
real answer 4^-2
Step-by-step explanation:
just did on edge
A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $9,000 down payment be
Answer:
down is $153000 while purchase price is $144000
Pls due now I will give brainliest if right
Answer:
(-2,1)
Step-by-step explanation:
i graphed it ..its right
Explanation:
The graph is shown below.
The line y = 2x+5 goes through (0,5) and (1,7).
The line y = (1/2)x+2 goes through (0,2) and (2,3)
The two lines intersect at exactly (-2, 1) which is the solution to the system.
if there is a 1 4 chance that it will rain for your fourth of july brbeque what is the probability it wont rain
Answer:
86% chance
Step-by-step explanation:
there is an 86% chance it won't rain because 100%-14%=86%