AB = x
BC = 3x
AC = 20 inches = AB + BC
Let's plug our values into the equation above.
20 inches = x + 3x
Combine like terms
20 inches = 4x
Divide both sides by 4
5 = x
AB = x = 5 inches
BC = 3x = 3(5) = 15 inches
The value of x is
✔ 5
The length of Line segment A B in inches is
✔ 5
The length of Line segment B C in inches is
✔ 15
<3
3. find the distance of the line segment with the given end points (5, 1) and (-8, 3)
Answer:
[tex] \boxed{ \bold{ \huge{ \tt{ \sqrt{173 \:}} \: units}}} [/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: \: Let \: the \: points \: be \: A \: and \: B}}[/tex]
[tex] \star{ \tt{ \: Let \: A ( 5 , 1 ) \: be \: ( x1 ,\: y1
) \: and \: B ( -8 , 3 ) \: be \: ( x2 , y2 )}}
[/tex]
[tex] \sf{ \underline{ finding \: the \: distance \: between \: these \: points}}[/tex]
[tex] \boxed{ \underline{ \underline{ \tt{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]
[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 8 - 5)}^{2} + {(3 - 1)}^{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 13)}^{2} + {(2)}^{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ \sqrt{169 + 4}}} [/tex]
[tex] \hookrightarrow{ \boxed{ \tt{ \sqrt{173} \: \: units}}}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
(x₁ , y₁) = (5 , 1) & (x₂ , y₂) = (-8 , 3)
[tex]Distance = \sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2}}\\\\ =\sqrt{(-8-5)^{2}+(3-1)^{2}}\\\\=\sqrt{-13)^{2}+2^{2}}\\\\=\sqrt{169+4}\\\\=\sqrt{173}units[/tex]
35,892 rounded to nearest 10
Answer:
35,890
...........
Answer:
35,890
Step-by-step explanation:
The 9 is the tens digit.
Every digit to the right of 9 becomes 0.
Start with: 35,890
Now you check the first digit to the right of the tens digit. If it is from 5 to 9, the tens digit goes up 1. If it is from 0 to 4, the tens digit remains the same.
In this case, the digit to the right of the tens digit is 2. Since 2 is from 0 to 4, the 9 remains as is and does not go up by 1.
Answer: 35,890
40 points David invests $10,000 in a savings account that pays 3.5% simple interest. If David makes no withdrawals or deposits to the account, how much will be in the account after 7 years? O $2,450 O $11,750 O $12,450 O Not Here
Answer:
FV= $12,450
Step-by-step explanation:
Giving the following information:
David invests $10,000 in a savings account that pays 3.5% simple interest.
To calculate the future value, we need to use the following formula.
FV= PV*(1+i*n)
n= 7
i= 0.035
PV= 10,000
FV= 10,000*(1+0.035*7)
FV= $12,450
Question 2 of 5
Type the correct answer in the box. Use numerals instead of words.
For this item, a non-Integer answer should be entered as a fraction using/as the fraction bar.
Simplify the numerical expression.
1 + 24 + ( + 3) = 1
The expression has a value equal to ???
Answer:
27
Step-by-step explanation:
Given expression :
1 + 24 + ( + 3) = 1
Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.
1 + 24 + ( + 3) - 1 = 0
Now, opening the bracket, we get
1 + 24 + 3 - 1 = 0
Negative 1 and positive 1 will get cancel
24 + 3 = 0
or 27
Therefore, the value of the numerical expression 1 + 24 + ( + 3) = 1 is 27.
Put these numbers in order from greatest to least.6, -9/36, 21/25
Answer:
6, 21/25, -9/36
Step-by-step explanation:
Solve the following equation by using inverse operations to find the value of x. Hint: The sum of all interior angles in a triangle is 180 degrees.
x=60
x=90
x=30
x=180
Answer:
[tex] x = 30 [/tex]
Step-by-step explanation:
Given [tex] 2x, 3x, x [/tex], as the interior angles of the ∆, since sum of interior angles of ∆ = 180°, equation to solve for the value of x is given as:
[tex] 2x + 3x + x = 180 [/tex]
Combine like terms
[tex] 6x = 180 [/tex]
Apply the inverse operation of multiplication to solve for x. Since 6 is multiplying x = 6x, to get the value of x, the inverse operation of multiplication is division. Therefore, we would divide each side of the equation by 6.
[tex] \frac{6x}{6} = \frac{180}{6} [/tex]
[tex] x = 30 [/tex]
Find the original price of a pair of shoes if the sale price is $84 after a 30% discount.
Answer:
Original price = $ 120Step-by-step explanation:
To find the original price given the new price and percentage discount we use the formula
[tex]original \: \: price = \frac{100}{(100 - x)} \times new \: \: price \\ [/tex]
where
x is the percentage discount
From the question
new price = $ 84
% discount = 30%
Substitute the values into the above formula and solve
That's
[tex]original \: \: price = \frac{100}{100 - 30} \times 84 \\ = \frac{100}{70} \times 84 \\ = \frac{10}{7} \times 84 \\ = 12 \times 10[/tex]
We have the final answer as
Original price = $ 120Hope this helps you
Answer:
Step-by-step explanation:
84*0.30= $25.2
84+ 25.2 = $109.2
Please HElp! IM STUCKKKKKKKKKKKKKKKK!!!!!
Answer:
its (2,4)
Step-by-step explanation:
What is h the height of the window in centimeters
Answer:
I mean i am not sure what you mean by what is the h the height of the windows in centimeters, cause there are different sizes so ill do this for you.
5 x 12 = 60 inches
Then 60 x 2.54= 152.4 centimeters
6 x 2.54- 15.24 centimeters
152.4 + 15.24= 167.64 centimeters
Hope I helped!
please help answer asap
Answer:
I think it is 9 but I'm not sure
Given B is the midpoint of A and C, and AB = 24. Find AC. *
Answer:
AC=48
Step-by-step explanation:
Since B marks the middle of A and C and AB is 24, you would need to multiply that length by two to find AC.
Just please help me I will give branliyest
Answer:
A
Step-by-step explanation:
because proportion is right vertical
Answer:
A is the answer
Step-by-step explanation:
the sum of 18 and a number x is equal to 22
Answer:
x=4
Step-by-step explanation:
the sum of 18 and a number x
that's just 18+x
is equal to 22
that means that something=22
=22
put all together
[tex]18+x=22\\\\18-18+x=22-18\\\\x=4[/tex]
The required value of x is 4.
Assume that the number we're looking for is represented by 'x'. According to the problem,
The sum of 18 and x is equal to 22.
We can write this as an equation: 18 + x = 22.
To solve for x,
Isolate it on one side of the equation.
We can do this by subtracting 18 from both sides:
18 + x - 18 = 22 - 18.
This simplifies to,
x = 4.
Therefore, the value of x that satisfies the equation is 4.
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which figure is not a rhombus
Answer:
anything that isnt quadrilateral with all equal sides is not a rombus
Step-by-step explanation:
plz thank and rate!! maybe even brainiest :D
please answer fastly (4/5 +2) (3- 2/3)
Answer:
exact form: 98/15 decimal form: 6.53 mixed number form: 6 8/15
Step-by-step explanation:
hope this helped
Problem 1 (3 + 3 + 3 = 9) Suppose you draw two cards from a deck of 52 cards without replacement. 1) What’s the probability that both of the cards are hearts? 2) What’s the probability that exactly one of the cards are hearts? 3) What’s the probability that none of the cards are hearts? Make sure to clearly define your probabilistic events and mathematically show how different probability laws and rules that you learned in class could be applied to solve the problems.
Answer:
0.0588235; 0.3823529; 0.5588235
Step-by-step explanation:
Given that:
Total number of cards = 52
Total number of hearts = 13
Probability = required outcome / Total possible outcomes
Two cards are drawn without replacement :
1) What’s the probability that both of the cards are hearts?
First draw :
P(hearts 1) = 13 / 52
Second draw :
P(hearts 2) = 12 / 51
P(both cards being hearts) :
(13 /52) × (12/51) = 156 / 2652 = 26/442 = 13 / 221 = 0.0588235
2) What’s the probability that exactly one of the cards are hearts?
First draw being hearts, 2nd not hearts Or First draw not hearts and 2nd being hearts
P(first draw hearts) = 13 /52
P(2nd not hearts) = 39/51
13/52 × 39/51 = 0.1911764
P(first not hearts) = 39 /52
P(2nd being hearts) = 13 / 51
39/52 × 13/51 = 0.1911764
Hence, (0.1911764 + 0.1911764) = 0.3823529
3) What’s the probability that none of the cards are hearts
P(first draw, no hearts) = 39/52
P(second draw, no hearts) = 38/ 51
39/52 × 38/51 = 1482 / 2652 = 0.5588235
Maria worked 5.1 hours on Monday and 7.35 hours on Tuesday. She gets paid $9.20 an hour. How much, in dollars, did Maria earn this week
Answer:
$114.54
Step-by-step explanation:
In order to answer this question, we are going to have to do some multiplication :)
First, we will find out how much Maria got paid on Monday. In order to find this, we must multiply 5.1 hours by $9.20, so
5.1 * 9.20 = 46.92
We will be using this number a little later. Next, we have to find out how much Maria got paid on Tuesday, so we have to multiply 7.35 hours by $9.20, so
7.35 * 9.20 = 67.62
Now, we will combine the numbers:
67.62 + 46.92 = 114.54
Therefore, Maria earned $114.54 this week
Hope this helps :)
105.34 and you would first add the hours together so 5.1 + 7.35= 11.45 then you would multiple $9.20 X 11.45= 105.34
hola....................
Answer:
hello is Hola
Step-by-step explanation:
Now you know
Answer:
hola
Step-by-step explanation:
Which measurement is closest to the area of the shaded region of the figure in square centimeters? Diameter is 10 cm. Base & height of square is 7
Answer:
29.5 cm^2
Step-by-step explanation:
The diameter is 10 so the radius is 10/2 = 5
The area of the square is
A = s^2 = 7^2 = 49
The area of the circle is
A = pi r^2 = 3.14 * 5^2 =78.5
Subtract the area of the square from the area of the circle
78.5-49 =29.5
Answer:29.5
Step-by-step explanation:
The diameter is 10 so the radius is 10/2 = 5
The area of the square is
A = s^2 = 7^2 = 49
The area of the circle is
A = pi r^2 = 3.14 * 5^2 =78.5
Subtract the area of the square from the area of the circle
l78.5-49 =29.5 thats all
Write a proportion to solve this problem.
When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting. They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room?
Answer: or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.
Step-by-step explanation:
M
Part A: m
Part B: M
A store bought a grandfather clock at a cost of $150 and marked it up 60%. Later on, the
store marked it down 55%. What was the discount price?
A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the number of adults and children who attended the game and solve the system to find the number of adults and the number of children who were in the group.
Answer:
1.2a+a=33
2.3a=33
3.a=11
Step-by-step explanation:
unghiurile ∢AOB și ∢COD sunt unghiuri opuse la vârf, O ∈ AC, iar PO ⊥ BD, P∈ Int ∢AOD. Dacă ∢COP = 133°, aflați măsurile unghiurilor ∢AOB și ∢BOC.
Răspuns:
<AOB = 43 ° și <BOC = 137 °
Explicație pas cu pas:
Găsiți diagrama atașată pentru o mai bună explicație a întrebării.
Din diagramă, <COP = <DOP + <COD
Deoarece <DOP = 90 ° și <COP = 133 °, la înlocuire
133 ° = 90 ° + <COD
<COD = 133 ° -90 °
<COD = 43 °
Deoarece <COD = <AOB (unghiuri direcționate opuse), deci <AOB = 43 °
Pentru <BOC:
Suma unghiurilor pe DBO dreaptă este de 180 °.
<BOC + <COD = 180 °
Dat <COD = 43 °
<BOC + 43 = 180 °
<BOC = 180 ° -43 °
<BOC = 137 °
Prin urmare, <AOB = 43 ° și <BOC = 137 °
11. Julie wants to go shopping for new clothes. She
has a budget of $100. She spends $45 on a new pair of
jeans and $11 on each new shirt.
The equation 100 = 45 + 11s represents s, the number
of shirts Julie bought.
Write in complete sentences the first 2 steps that Julie
would use to solve this equation.
Answer:
5
Step-by-step explanation:
1. subtract 45 from both sides 55 = 11s
2. Divide by 11 on both sides [tex]\frac{55}{11} =\frac{11s}{11}[/tex]
3. And now you have 5 = s
Ur welcome plz sub to lolyavko on yt. :)
Which ratio is greater then 11/16?
A. 22:32
B. 3:8
C. 1:2
D. 3:4
Answer:
A
Step-by-step explanation:
22:32
when you get it into the decimal form the value is greater than the value of 11/16
hope this helps please mark me as brainliest !!
can somone help!!! Which two consecutive integers does − √183 lie between? A) 13 and 14 B) 14 and 15 C) −13 and −14 D) −14 and −15
Answer:
the answer would be C
Step-by-step explanation:
Answer:
-13/-14 c is correct
Step-by-step explanation:
A local garden center recorded the number of each type of fruit tree sold last month.
Apple:14
Apricot:8
Cherry:16
Pear:28
Plum:12
Write the ratio that compares the number of apple trees sold to the number of trees sold last month
Answer: 14:78
Step-by-step explanation: The number of apple trees sold last month was 14. The number of trees sold overall was 78. So, the ratio would be 14:78
what are the solutions of this quadratic equation x^2 - 6x = -58
The solutions of the quadratic equation are 3 ± √ -49.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0.
The quadratic equation is,
x² - 6x = -58
The equation can be written as,
x² - 6x +58 = 0
Now it is in the form of the standard equation.
To determine the solutions of the quadratic equations, the formula used is
x = ( -b ± √ (b² -4ac)) / 2a
The value of a = 1
The value of b = -6
The value of c = 58
Putting the values in the formula.
x = ( 6 ± √ ((-6)² -4 * 1 * (58))) / 2 * 1
x = ( 6 ± √ (36 -232) / 2
x = ( 6 ± √ (-196) / 2
x = 3 ± √ -49
This can be written as complex numbers
i = √-1
x = 3 ± 7i
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PLEASE HURRY WILL GIVE BRAINLIEST Kaylee is buying bagels for a family gathering. Each bagel costs $0.75. Answer the questions below regarding the relationship between the total cost and the number of bagels purchased.
Answer:
The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.
A function relating these variables is A(x) =0.75x .
So A(12) = 9, meaning 12 bagels will cost 9 dollars.
Step-by-step explanation:
Please give me THANKS and BRAINLIES
Have a good day
The relationship between the total cost and the number of bagels purchased will be;
⇒ y = $0.75x
Where, y is total cost and x is number of bagels purchased.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Kaylee is buying bagels for a family gathering.
And, Each bagel costs $0.75.
Now,
Let number of bagels purchased = x
Total cost to purchased bagels = y
So, We get;
The relationship between the total cost and the number of bagels purchased;
⇒ y = $0.75x
Thus, The relationship between the total cost and the number of bagels purchased is;
⇒ y = $0.75x
Where, y is total cost and x is number of bagels purchased.
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