[tex]\underline{\underline{\frak{\qquad Given :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x. The perimeter of the triangle is 99 cm.[tex]\underline{\underline{\frak{\qquad To\:Find :\qquad}}} \\ [/tex]
The measure of the sides of the traingle = ?[tex]\underline{\underline{\frak{\qquad Solution :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x.Perimeter of an equilateral traingle = 99 cm☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf Perimeter_{(of \: equilateral \: \Delta)} = 3a \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 3(3x) \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 9x\\ \\ \\ [/tex]
[tex]:\implies \sf x = \dfrac{99}{9} \\ \\ \\ [/tex]
[tex]:\implies \sf x = 11 \: cm \\ \\ \\ [/tex]
[tex]\bigstar \: \underline{\textsf{The measure of the sides of the equilateral traingle :}} \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3x \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3(11) \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\: \underline{ \boxed{\sf Side_{(of \: equilateral \: \Delta)} = 33 \: cm}} \\ \\ [/tex]
[tex]\therefore\:\underline{\textsf{The measure of the sides of the traingle is \textbf{33 cm}}}. \\ \\ [/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\underline{\frak{\qquad Verification :\qquad}}} \\[/tex]
[tex]\longrightarrow\: \sf 99 = 3(3x) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(3 \times 11) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(33) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf 99 = 99}}\\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf LHS = RHS}}\\ \\ \\ \\ [/tex]
[tex]\underline{\underline{\frak{\qquad Hence, Verified\qquad}}} \\ \\ [/tex]
══════════════════════════════════════════════════
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each.
How much did Veronica spend on candy?
A. 8.95
B. 17.90
C. 26.80
D. 35.80
Answer:
Your answer is C. 26.8
Step-by-step explanation:
5 × 1.79 = 8.95
15 × 1.19 = 17.85
8.95 + 17.85 = 26.8
Answer: C ($26.80)
Step-by-step explanation:
This is a multiplication problem.
The first 5 bags of candy cost $1.79 each, so we multiply the cost by the amount of bags that we bought for that price:
5 * 1.79 = $8.95
The rest of the bags cost $1.19 each, so we need to multiply this number by some value. To find this value, we need to know how many bags we have left. We already bought 5, and we bought a total of 20, so we need to buy:
20 - 5 = 15 bags
Multiplying the cost for the rest of the bags (1.19) by the amount of bags we need to buy still (15), we get:
15 * 1.19 = $17.85
Now we know what the cost of the first 5 bags (8.95), and we know the cost of the 15 other bags (17.85). To find the total amount of money Veronica spent, we can just add these two values together.
8.95 + 17.85 = $26.80
This total cost is shown in answer C, so that is the answer.
50 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?
Answer:
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Step-by-step explanation:
23/50 of Xander's friends prefer to stay home on Friday nights.
What percent of Xander's friends prefer to stay home on Friday nights?
% of Xander's friends that prefer to stay home on Friday nights
= 23/50 × 100
= 0.46 × 100
= 46%
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
find the images of the following under thr reflection aboit x_axies a(2,_3)
Answer:
that not a full question I cant answer that.
He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]
Hence, the debt per person is 5535383.47 units.
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
What is the graph of y = 3jx|?
Ο Α.
5
>
Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.
Answer:
The graph of y=3|x| is attached below.
Step-by-step explanation:
Given the function
[tex]y=3\left|x\right|[/tex]
Determining the domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is:
[tex]-\infty \:<x<\infty \:[/tex]
Determining the range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
[tex]f\left(x\right)\ge \:0[/tex]
Thus,
[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Determining the x-intercept and y-intercept:
From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)The graph of y=3|x| is attached below.
There are 13 guests at Morgan's party. If each guest will be served exactly \tfrac{4}{5} 5 4 pint of ice cream, how many pints of ice cream will she need? Express your answer in simplest form.
Multiply number pf people by amount they are having:
13 people x 4/5 pint = (13 x 4)/5 = 52/5 = 10 2/5 pints.
They need 10 2/5 pints total. ( Simplest form)
Since you can't buy a fraction of a pint, they would actually need to buy 11 pints
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation:
Point O is on line segment NP . Given NP=18 and , NO=10, determine the length OP .
7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
Given:
AB ≅ CD
To prove :
ΔABC ≅ ΔCDA
Statements Reasons
1). AB ≅ CD 1). Given
2). AC ≅ AC 2). Given
3). ΔABC ≅ΔCDA 3). HL property of congruence
Therefore, Option (B) is the correct option.
Answer:
the answer is aas
Step-by-step explanation:
im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle
What two things do you NEED to write an equation in point-slope form?
Answer:
a letter or a word of any kind
Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form
Step-by-step explanation:
Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!
The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.
What is a Linear Relationship?On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.
The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.
Learn more about linear relationship on:
https://brainly.com/question/7040405
#SPJ2
1 3 movie tickets cost $36. At this rate, what is the cost per ticket?
Answer:
$12 per ticket
Step-by-step explanation:
if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost
36/13= $12
I need these answers please please please I need it ASAP
Answer:
1:101
2:15
3:11
4:56
Source:trust me bro
Which expression is NOT equivalent to 6 × 14?
Answer:
D
Step-by-step explanation:
10(40)= 400
6(400)= 2,400
6(14)= 84
Therefore they are not equal.
Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.
(-3, 1), (-17, 2) find the slope show the work
Answer:
1/-14 or -0.071428571428571
Step-by-step explanation
(-3,1) ___ -3 is x1 while 1 is y1
(-17, 2) ___ -17 is x2 while 2 is y2
slope formula is m = y2-y1/x2-x1
plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571
WILL GIVE BRAINLIEST
Answer:
the answer is A
Step-by-step explanation:
Write in slope intercept form given two points (1,2) and (-2,5)
17 < 2x + 7 <29*
Your Inswer
Answer:
5<x<11
Step-by-step explanation:
Answer:x=3
Step-by-step explanation:
HELP ME WITH THIS QUESTION PLZZZZZZZZZZZ, ALSO PLEASE SHOW UR WORK I NEED HELP I DON'T UNDERSTAND THISSSSSS
Answer: Jon has the best rate
Step-by-step explanation:
CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME
Answer:
2. 2/1 is the ratio of seltzer to juice. It means that there is twice as much seltzer as there is juice.
3. (2,4) represents the amount of seltzer and juice. At this point there are 4 cups of seltzer, and two cups of juice.
4. (1,2) can be used to find the constant of proportionality and slope.
5. y=2x
6. y=2*15
y=30
Step-by-step explanation:
If you need explanations for any of these let me know, and I'll add them.
Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.
Answer:
DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.
Step-by-step explanation:
Answer:
All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.
Step-by-step explanation
My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the
90% confidence interval for the population proportion, p?
Answer:
-0.0081<p<0.4081
Step-by-step explanation:
Using the formula for calculating the confidence interval expressed as;
CI = p±z√p(1-p)/n
p is the proportion = x/n
n is the sample size
x is the amount that are left-handed
p = 2/10
p = 0.2
z is the z score at 90% CI = 1.645
Substitute the values into the formula;
CI = 0.2±1.645√0.2(1-0.2)/10
CI = 0.2±1.645√0.2(0.8)/10
CI = 0.2±1.645√0.16/10
CI = 0.2±1.645√0.016
CI = 0.2±(1.645*0.1264)
CI = 0.2±0.2081
CI = (0.2-0.2081, 0.2+0.2081)
CI = (-0.0081, 0.4081)
hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081
what is 3 divided by 1/6?
Answer:
18
Step-by-step explanation:
Answer:
The correct answer is 18
Step-by-step explanation:
HAVE A GOOD DAY!
Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10
Answer:
M=10
N=5
Q=2
Step-by-step explanation:
if you look at the equation it says
M+M+M=30
Since there's 3 M's you can combine it and make it into 3M=30.
you could then divide 30 by 3 in order to get M by itself and you would get M=10.
Hope this helped :)
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
