Answers
a times (a+b)= c times (c+d)
4 times (4+18)=4 times 22=88
88=6 times (6+x)=6x+36
88=6x+36
88-36=6x
6x=52
x= 8 and 2/3
Related Questions
You can calculate the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake.
Answers
Step-by-step explanation:
Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.
This means that triangle VWX is similar to triangle YZX.
So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.
120/8 = 15 = WX / 6.
So the width is 90 m.
Which system of linear equations represents the situation?
The Martin family pays $12 per hour to a babysitter. They also give her
a $7 tip. The Bagley family pays $15 per hour to a babysitter. The
Bagley family's babysitter pays $8 to order a pizza.
Let h represent the number of hours of babysitting and m represent
the total amount of money each babysitter earns.
Answers
Answer:
so many just add them 12+7+15+8=
Answer:
m=12h+7
m=15h-8
How would I solve the equation’s by cross multiplying number 4,5,9,10
Answers
Answer:
4) a = 6
5) m = 1
Step-by-step explanation:
4) use FOIL, First Inside Outside Last, when you cross multiply.
[tex]\frac{a+4}{a-1} =\frac{a-2}{a-4}[/tex]
[tex](a+4)(a-4) = (a-1)(a-2)[/tex]
I'm going to do the left side first.
[tex](a+4)(a-4)\\a^2-4a+4a-16\\a^2-16[/tex]
Now I'm going to do the right side.
[tex](a-1)(a-2)\\a^2-2a-1a+2\\a^2-3a+2[/tex]
Next I'm going to rewrite back as the equation and solve for a.
[tex]a^2 - 16 = a^2 -3a +2\\a^2 - a^2 -16 = a^2-a^2-3a+2\\-16-2=-3a+2-2\\-18=-3a\\-18/-3=-3a/-3\\a=6[/tex]
5) I'm going to use distributive propoerty when I cross multiply. Then I will setup an equation like number 4 and solve for m.
[tex]\frac{5m-2}{3}=\frac{8-3m}{5} \\[/tex]
[tex]5(5m-2)=3(8-3m)\\25m-10=24-9m\\25m+9m-10=24-9m+9m\\34m-10=24\\34m-10+10=24+10\\34m=34\\34m/34=34/34\\m=1[/tex]
What quadrilateral can you draw the has exactly one pair of parallel sides
Answers
Answer:
I belive that will be a trapazoid
Step-by-step explanation:
Both sides on the top and bottom are parallel
Please tell me if im wrong!
Answer:
Trapezium
Step-by-step explanation:
It has exactly one pair of parallel sides
Can someone help me?
Answers
Answer:
70x+91
Step-by-step explanation:
Answer:
161
Step-by-step explanation:
Break it into separate parts based on order of operations:
[(3 x (2^5)) + (13 x (-2))] + 7[8 - (4 - 9)] then simplify:
3 x 32 + (-26) + 7[8 + 5]
96 - 26 + 7(13)
70 + 91
161
What is the volume of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answers
Answer:
100 cubic centimetres
Step-by-step explanation:
Volume of Cone = 1/3 pie r^2 h
= 1/3 × 3.14 × 4 × 4 × 7
= 117.226
= 100 cubic centimetres ( nearest hundredth)
What is the area of the unshaded part of the rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²
Answers
Answer:
D 26000
Step-by-step explanation:
100 x 100 = 10000
120 x 150 = 18000/2 = 9000
150 x 300 = 45000
10000 + 9000 = 19000
45000 - 19000 = 26000
The swiss mathematician leonhard euler and the french mathematician rene descartes both discovered a pattern in the numbers of edges, vertices, and faces of polyhedrons. solve problems 810.
Answers
Answer:
I am stuck on this two
Step-by-step explanation:
rectangle, 6 8 14 12
Which angles are not supplementary
Answers
===============================================================
Explanation:
Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.
Choice b) and choice d) are eliminated for similar reasoning as choice a).
Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.
Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.
What is the greatest common denominator of 24 and 25
Answers
Answer:
1
Step-by-step explanation:
The only number 24 and 25 can both have is 1
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 18 questions he thought he got wrong.
It turns out that Colin got 3 questions right that he thought he got wrong.
Colin also got a total score of 27 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answers
Answer:
65.2%
Step-by-step explanation:
Explanation is in photo.~Hope this helps~
Match each word to its definition.
Answers
Answer:
1. biased sample: sample not representative of the entire population
2.convenience sample: sample where representatives are easily accessible
3.unbiased sample: sample where every member of the population has an equal chance
4. self-selected sample: sample where members volunteer to take part
5. stratified sample: members are selected from the different subgroups within a population
6. systematic sample: sample members are selected through the use of a rule.
Hope this helps!!
1. biased sample: sample not representative of the entire population
2.convenience sample: sample where representatives are easily accessible
3.unbiased sample: sample where every member of the population has an equal chance
4. self-selected sample: sample where members volunteer to take part
5. stratified sample: members are selected from the different subgroups within a population
6. systematic sample: sample members are selected through the use of a rule.
Hope this helps!!
Pls help!!!!!!!!!!!!!!!!!!!!!!!
Answers
HELPPPP WHATS THE AREA
Answers
Answer:
the answer is 42
Step-by-step explanation:
you multiply the sides to get the area
Question five What is the perimeter? Use 3.14 for pi. Please Show Work! I Will Mark As Brainlest!!
Answers
Answer:
73.81
Step-by-step explanation:
You know that the formula for circumeference is 2(pi)r.
2x3.14x11=69.08;
However, a part of the circle is cut off, leaving 3/4 of it.
3/4x69.08=51.81.
However, you add the 11+11 to it because of the slice.
22+51.81=73.81
Please Help Me I Don’t Understand
Answers
For a complete triangle to form it needs to be 180°. So all you do is subtract 180° by the sum of 32° and 81°.
180°-113°=67°
The answer is 67°
Question
Find the circumference of the circle. Round your answer to the nearest hundredth.
The circumference is about
inches.
Answers
Answer:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·3 = 18.85(*)
In terms of diameter:
Circumference = π·d = 3.14·6 = 18.84(*)
In terms of area:
Circumference C = √4·π·A = √4·π·28.27 =18.85
Step-by-step explanation:
radius= 3in.
to find:the circumference of the circle.
solution:formula C=2πr
=2·π·3
≈18.84956in
nearest hundredth= 18.85in
The heights of a species of plant are approximately Normally distributed, have a mean of 9.31 cm, and have a standard deviation of 0.55 cm. If 20 of the plants are randomly selected, what is the probability that the mean plant height is less than 9.5 cm?
0.0612
0.6351
0.9388
approximately 1
Answers
Using the normal distribution and the central limit theorem, it is found that the probability that the mean plant height is less than 9.5 cm is of 0.9388.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 9.31, \sigma = 0.55[/tex].
For samples of n = 20, the standard error is given by:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]s = \frac{0.55}{\sqrt{20}}[/tex]
s = 0.123.
The probability that the mean plant height is less than 9.5 cm is the p-value of Z when X = 9.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.5 - 9.31}{0.123}[/tex]
Z = 1.54.
Z = 1.54 has a p-value of 0.9388.
Hence the probability that the mean plant height is less than 9.5 cm is of 0.9388.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
In a bag there are 2 red marbles, 3 white marbles and 5 blue marbles. Once a marble is selected, it is NOT replaced. Find the P(Blue then Red). Write your answer as a percent rounded to the nearest whole number.
Answers
Answer:
For each draw, it is the number of that color, divided by the total number of marbles. For more than one draw, just multiply the fractions.Take a look at what I did. It should become clear.
Step-by-step explanation:
A teacher bought 12 sheets of stickers to use on the homework of her students. Each sheet had 48 stickers. At the end of the year, the teacher had 123 stickers remaining.
Estimate how many stickers the teacher used.
Answers
Answer:
453
Step-by-step explanation:
12×48=576 (number of stickers she has)
576-123=453 (number of stickers she had-number of stickers she had left)
A 48-fluid-ounces container of orange juice costs $.2.40.A 60-fluid -ounces container of orange juice costs $3.60.Which is the better coast
Answers
Answer:
48/2.40 = 60/360
Step-by-step explanation:
do a proportion chart
HELP ME PLEASE!!
Solve the simultaneous equations.
x + 2y = 13
x + 5y = 28
x =
y=
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Here, We have given two equations that is ,[tex]\sf{ x + 2y = 13\:\: and\:\: x + 5y = 28}[/tex]To Find :-We have to find the value of x and y.Concept used :-Linear equations are those equations which having highest power of degree as 1 .Linear equations can be solved by subsitute method, elimination method and cross multiplication method. Here, I have used substitution method to make calculation easier. In subsitute method, you have to subsitute the value of one variable of eq(1) in eq(2) .Let's Begin :-Here,
We have two equations, let consider these two equations as eq(1) and eq(2) that is,[tex]\sf{ x + 2y = 13 ...eq(1)}[/tex]
[tex]\sf{ x + 5y = 28 ...eq(2)}[/tex]
By solving eq(1) :-
[tex]\sf{ x + 2y = 13 }[/tex]
[tex]\sf{ x = 13 - 2y ...eq(3)}[/tex]
Subsitute eq(3) in eq(2) :-
[tex]\sf{ (13 - 2y) + 5y = 28 }[/tex]
[tex]\sf{ 13 - 2y + 5y = 28 }[/tex]
[tex]\sf{ 13 + 3y = 28 }[/tex]
[tex]\sf{ 3y = 28 - 13 }[/tex]
[tex]\sf{ 3y = 28 - 13 }[/tex]
[tex]\sf{ 3y = 15 }[/tex]
[tex]\sf{ y = }{\sf{\dfrac{ 15}{3}}}[/tex]
[tex]\sf{ y = }{\sf{\cancel{\dfrac{ 15}{3}}}}[/tex]
[tex]\bold{ y = 5 }[/tex]
Thus, The value of y is 5
Now,Subsitute the value of y in eq(1) :-
[tex]\sf{ x + 2(5) = 13 }[/tex]
[tex]\sf{ x + 10 = 13 }[/tex]
[tex]\sf{ x = 13 - 10 }[/tex]
[tex]\bold{ x = 3 }[/tex]
Hence, The value of x and y are 5 and 3 .
[tex]\bold{\huge{\underline{ Let's \: Verify }}}[/tex]
Equation 1 :-[tex]\sf{ x + 2y = 13 }[/tex]
[tex]\sf{ 3 + 2(5) = 13 }[/tex]
[tex]\sf{ 3 + 10 = 13 }[/tex]
[tex]\sf{ 13 = 13 }[/tex]
[tex]\bold{ LHS = RHS }[/tex]
Equation 2 :-[tex]\sf{ x + 5y = 28 }[/tex]
[tex]\sf{ 3 + 5(5) = 28 }[/tex]
[tex]\sf{ 3 + 25 = 28 }[/tex]
[tex]\sf{ 28 = 28 }[/tex]
[tex]\bold{ LHS = RHS }[/tex]
Let's use elimination method
Subtract eq(2) from eq(1)We get
[tex]\\ \rm\Rrightarrow 2y-5y=13-28[/tex]
[tex]\\ \rm\Rrightarrow -3y=-15[/tex]
[tex]\\ \rm\Rrightarrow y=\dfrac{-15}{-3}[/tex]
[tex]\\ \rm\Rrightarrow y=5[/tex]
Putting on eq(1)
[tex]\\ \rm\Rrightarrow x+2y=13[/tex]
[tex]\\ \rm\Rrightarrow x+2(5)=13[/tex]
[tex]\\ \rm\Rrightarrow x+10=13[/tex]
[tex]\\ \rm\Rrightarrow x=13-10[/tex]
[tex]\\ \rm\Rrightarrow x=3[/tex]
(x,y)=(3,5)[tex]\LARGE{\underbrace{\underline{\rm{Verification:-}}}}[/tex]
[tex]\\ \rm\Rrightarrow x+2y=13[/tex]
[tex]\\ \rm\Rrightarrow 3+2(5)=13[/tex]
[tex]\\ \rm\Rrightarrow 3+10=13[/tex]
[tex]\\ \rm\Rrightarrow 13=13[/tex]
And
[tex]\\ \rm\Rrightarrow x+5y=28[/tex]
[tex]\\ \rm\Rrightarrow 3+5(5)=28[/tex]
[tex]\\ \rm\Rrightarrow 3+25=28[/tex]
[tex]\\ \rm\Rrightarrow 28=28[/tex]
Hence verified!
Plss help will give Brainliest!!!!
Answers
Answer:
1/6
Step-by-step explanation:
can someone help me with these three questions pls
Answers
Answer:
Step-by-step explanation:
#1. right 5 units
#2. down 2 units
#3. The translation rule is (5, -2)
The centre of the circle is (3,a) and a point on the circumference is (6,-1). if the radius of the circle is 3 units , find the value of a
Answers
Answer: -1
Step-by-step explanation:
In number 1783429 write the follwings:
i)Write rhe digit that is in the ten thousand place.
ii)Successor of the number
Answers
Answer:
i) 8
ii) 9
Step-by-step explanation:
For i):
1 = million
7 = hundred thousand
8 = ten thousand place
3 = thousand
4 = hundred
2 = tens (twenty)
1 = unit (one)
For ii):
The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.
For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.
In this case, the successor of 8 is 9 because 8 + 1 = 9
Hope this makes sense. If you need further explanation, let me know.
- profparis
Answer:
i)8
ii)1783429
Step-by-step explanation:
for i, count upto ten thousand and for ii, add 1 to the number
Which equation is the correct translation of the following statement?
Four less than a number is nine.
O 9 - X= 4
O9-4 = x
O x-4 = 9
O4 - X= 9
Answers
Let the number be x.
subtract 4:-
x-4 (4 less)
this expression equals 9:-
x-4=9 (Option C)
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Dallas made two pies for Thanksgiving in identical pie tins. 3/8 is left of one pie, and 2/3 is left of the other. Will all the leftover pie fit in one pie tin?
answer choices
a. yes, because 3/8 + 2/3 is less than 1
b. yes, because 3/8 is less than 2/3
c. no, because 3/8 + 2/3 is more than 1
d. no, because 2/3 is more than 3/8
Answers
3/8 = 0.375
2/3 = 0.667
0.375 + 0.667 = 1.042
answer : c. no, because 3/8 + 2/3 is more than 1
The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip
of the minute hand is 55 feet above the ground. How high above the ground is the
center of the clock face? Explain how you know.
Answers
Answer: 12:55 is the answer
Step-by-step explanation:
dont delete this brainly
The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.
Sine trigonometric functionThe trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .
How to determine the length of the side using trigonometric function?From the given information, the following pictorial representation can be made.
The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-
[tex]x=6sin30\\x=3\text{ft}[/tex]
Now, from the figure,
The height of the center of the clock above the ground is-
d=6+(55-3-6)
=52 ft
Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]
Learn more about trigonometric functions here-
https://brainly.com/question/14746686
#SPJ2
Manuel starts with $30. He earns $8.00 per hour plus an additional
bonus of $12 each day. He spends $8.00 for lunch. If he has $94 at
the end of the day, how many hours did he work?
Answers
Answer:
He worked about 5.5 hours
Step-by-step explanation:
Im pretty sure
Answer:
7.5 hours
Step-by-step explanation:
h=hours
30+8h +12-8 =94
8h+34=94
8h =60
h= 7.5
