The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
We have given in the question that,
The sum of 2 numbers is equal to 11 The difference between two numbers is 19 .[tex]\bold{\underline{ To \: Find }}[/tex]
We have to find the value of x and y.[tex]\bold{\underline{ Let's \: Begin }}[/tex]
Let the two numbers be x and y
According to the question,
[tex]\sf{ x + y = 11......eq(1) }[/tex]
[tex]\sf{ x - y = 19......eq(2) }[/tex]
Solving eq( 1 ) we get :-
[tex]\sf{ x + y = 11 }[/tex]
[tex]\sf{ x = 11 - y ......eq(3 ) }[/tex]
Subsituting eq(3 ) in eq(2) :-
[tex]\sf{ x - y = 19 }[/tex]
[tex]\sf{ ( 11 - y) - y = 19 }[/tex]
[tex]\sf{ 11 - y - y = 19 }[/tex]
[tex]\sf{ 11 - 2y = 19 }[/tex]
[tex]\sf{ - 2y = 19 - 11 }[/tex]
[tex]\sf{ - 2y = 8}[/tex]
[tex]\sf{ y = 8/(-2) }[/tex]
[tex]\sf{ y = - 4 }[/tex]
[tex]\sf{\red{Thus ,\: the\: value\: of \: y = -4}}[/tex]
Now, Subsitute the value of y in eq( 3 ) :-
[tex]\sf{ x = 11 - y }[/tex]
[tex]\sf{ x = 11 - (-4 ) }[/tex]
[tex]\sf{ x = 11 + 4 }[/tex]
[tex]\sf{ x = 15 }[/tex]
Hence, The value of x and y are 15 and (-4) .
A piece of rural land sold ten years ago for $40,000. This year, the same piece of land can sell for $60,000. If the price increase is $800 per acre, what is the size of the piece of land in acres??
well, the price difference is 60000 - 40000 = 20000.
so, we're told that the price increase acres wise is 800 bucks per acre, but we also know it's a total of 20000, so how may times does 800 go into 20000?
20000 ÷ 800 = 25.
so we know that in 20000 bucks there are 25 acres, so how many will there be in 60000 bucks?
[tex]\begin{array}{ccll} \$&acres\\ \cline{1-2} 20000&25\\ 60000&x \end{array}\implies \cfrac{20000}{60000}=\cfrac{25}{x}\implies \cfrac{1}{3}=\cfrac{25}{x}\implies \stackrel{acres}{x=75}[/tex]
Answer:i have no idea!
Step-by-step explanation:
- 19/20 divided by .45
Answer:
2.11 Repeating
Step-by-step explanation:
Hope is right
fhh earns 8 dollars per hour how much will he earn in 3/4 of an hour
Answer:
5.625
Step-by-step explanation:
3/4 of an hour is 45 minutes so if you divide 45 by 8 you will get 5.625
There is a pair of parallel sides in the following shape.
What is the area of the shape?
Answer:
Parallelogram
Step-by-step explanation:
Please mark me as brainliest
Kindly solve my question
Answer:
(a) AA Similarity using alternate interior angles
(b) 6.3
Step-by-step explanation:
(a)
Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.
With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.
Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.
(b)
Triangles ABD and BDC are similar.
The ratios of the lengths of corresponding sides are equal.
AB/BD = AD/BC
4/6 = 4.2/BC
4BC = 6 × 4.2
BC = 6.3
what is -2 1/3 - (-5) =?
Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
Given the following question:
[tex]-2\frac{1}{3} -(-5)[/tex]
To find the answer to this question we will use KCF (Keep, Change, Change) because we are subtracting from a negative. Then we find the common denominator and subtract the numerators.
[tex]-2\frac{1}{3} -(-5)[/tex]
[tex]-5=\frac{-5}{1}[/tex]
[tex]-2\frac{1}{3} =3\times-2=-6+-1=-7=\frac{-7}{3}[/tex]
[tex]\frac{-7}{3} -\frac{-5}{1}[/tex]
[tex]\frac{-7}{3} \times1=\frac{-7}{3}[/tex]
[tex]\frac{-5}{1} \times3=\frac{-15}{3}[/tex]
[tex]\frac{-7}{3} -\frac{-15}{3}[/tex]
[tex]-7+15=\frac{8}{3} =8\div3=2\frac{2}{3}[/tex]
[tex]2\frac{2}{3}[/tex]
Hope this helps.
In a sampler box of candy there are 20 mints, 10 fudges and 20 toffees. A sweet is taken at random from the packet. What is the probability that it is fudge? Write the answer as a percentage.
Answer:
98%
Step-by-step explanation:
have a great day
Answer:
2% chance.
Step-by-step explanation:
20 + 20 + 10 equals 50. 1 divided by 50 equals 0.02, which is 2 percent.
Compare the shapes of the two distributions from Louise and Aiden’s experiments.
To compare the shapes of the distributions from the experiments, a z-test can be used.
What is a z-test?Your information is incomplete as the distributions aren't given. Therefore, an overview will be given. It should be noted that a z-test is a statistical test that's us used to determine if the means of two population are different when their variances are known.
Z-tests simply test the mean of a distribution. To compare the distributions, the error in the mean will be calculated by dividing the dispersion by the square root of the number of data points.
Learn more about z-test on:
https://brainly.com/question/15728178
i need help with this
Answer:
87
Step-by-step explanation:
75% is essentially the same as 0.75
0.75 times 116 is 87.
Answer:
It is 87
Step-by-step explanation:
75% can also be written as 0.75 so
116×0.75 is 87
a business woman bought a refrigerator from manufacturer for $1378. Calculate the selling price if she makes a profit of 17.5 precent
Answer:
= 1619.15
Step-by-step explanation:
Hope this is correct :)
Please help me solve this problem -5= -32 please and thank you
Answer: false
Step-by-step explanation: Compare -5 and -32. They do not equal each other.
select all numbers that are rational
a. 8.23234231
b. 1/23
c. 5.12121212
d. -0.129
e. -0.9
f. 4.62
Answer:
All the numbers are technically, rational.
Step-by-step explanation:
divide the following. Put your answer in scientific notation.
(77) ÷ (4.9 × 10²)
Answer:
The answer is 0.1571428 I think
Find the area of the triangle then round the answer to the nearest tenth (please help!!!)
Answer:
A = 2298.48
Step-by-step explanation:
The right triangle with the 35angle. you need to find the height of that triangle which is the adjacent side and the opposite side is 44
tan 35° = opposite/ adjacent
[tex]tan 35 = \frac{44}{x}[/tex]
[tex]tan 35(x) = 44[/tex]
[tex]x = \frac{44}{tan 35}[/tex]
x = 62.83 ≈ 62.8
Using the 25° angle, you have the height which is 62.8 and looking for the side opposite the 25° angle.
So tan 23° = x/adjacent side
[tex]tan 25= \frac{x}{62.8}[/tex]
[tex]tan 25(62.8)= x[/tex]
29.28 ≈29.2 A = 1/2bh ; A = 1/2 (44 + 29.2)(62.8) ; A = 2298.48
Five pens cost £3.25. What is the cost of 9 pens?
Answer:
3.25/5*9= 5.85
Step-by-step explanation:
3.25euros divided by 5pens times 9pens= 5.85euros
50 Points and if you want to ask me something about my questions then please tell me under the comment section at the question not answering and asking something.
Show your steps of the conversion of the decimal numbers write in your own steps.
1. 3
2. 8
3. 15
4. 18
5. 33
6. 49
7. 64
8. 108
9. 251
Answer:
3=3.0
8=8.0
15.0
18.0
33.0
49.0
64.0
108.0
251.0
Step-by-step explanation:
Basically writing to one decimal place
D
48°
C
61°
A
B
Find the measure of ZABD
Answer:
119
Step-by-step explanation:
Angle ABD and angle DBC are supplementary so their sum is equal to 180
therefore to find the measure of ABD we subtract 61 from 180
<ABD = 180 - 61
<ABD = 119
PLEASE HURRY AND GET THE ANSWER CORRECT I WILL MARK BRAINLIST
Evaluate and simplify the following complex fraction.
3/8/1/-7
screenshot below
Answer:
[tex]\cfrac{\frac{3}{8} }{\frac{1}{-7} } =\cfrac{3}{8} \times -\cfrac{7}{1}[/tex]
[tex]=\cfrac{-21}{8}[/tex]
[tex]=-2\cfrac{5}{8}[/tex]
Hope this helps u! :)
[tex]\\ \rm\rightarrowtail \dfrac{3/8}{1/-7}[/tex]
[tex]\\ \rm\rightarrowtail 3/8\div 1/-7[/tex]
[tex]\\ \rm\rightarrowtail 3/8\times -7[/tex]
[tex]\\ \rm\rightarrowtail -21/8[/tex]
[tex]\\ \rm\rightarrowtail -2\dfrac{5}{8}[/tex]
A section of fence is 2 feet wide. How many sections are needed to make a 9 foot fence?
Answer:
2 feet times nine equals 18
1. 14=7b
2. -11=k/4
3.6z=-6
Answer:
the anwer is 14-2294-dhi2
Step-by-step explanation:
Because 14 is - 4 you multiple to 5 equal= dhi2
25% of 96 is what number? (solve using proportions)
Step-by-step explanation:
refer the above attachment
Step-by-step explanation:
please mark me as brainlest
Is it possible to draw a triangle with angles 150, 20 and 50
Answer:
no
Step-by-step explanation:
because the sum of the angles of a triangle should = 180, and adding these numbers together give a greater result of 220 degrees
Find positive and negative coterminal angles for -240
Hurrryy
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the
bag
What is the probability that the marble drawn will not be blue?
19
o
الات
Add up to get the total number of marbles: (8 + 6 + 12 + 10) = 36
Then subtract the number of blue marbles from the total amount of marbles: 36 - 8 = 28.
28 signifies the amount of marbles that are NOT blue.
So the probability is: 28/36 = 0.77 = About 77%
The final answer is 7/9.
A regular polygon has 40 sides.
Find the size of each of its interior angles.
An interior angle of a polygon is found by subtracting 2 from the number of sides, multiplying that by 180 And then divide by the number of sides:
40-2 = 38
38 x 180 = 6840
6840/40 = 171
Answer : 171 degrees
1) A wallet is full of $5 and $10 bills. He has a total of 25 bills and a total of $230. How many of each bill do you have?
Answer:
6 $5 dollar bills, and 20 $10 dollar bills
Step-by-step explanation:
A Choir has
30 total members.
14 are boys.
How many are girls?
Choose the answer that shows the ratio of boys to girls in simplest form.
8
-10 12
о
8
15
o
7
15
Answer:
there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12
Step-by-step explanation:
Triangle DEF contains right angle E. If angle D measures 55° and its opposite side measures 7.6 units, what is the measure of side
DF? Round your answer to the nearest hundredth.
A. 5.34 units
B. 6.38 units
C. 9.06 units
D. 9.28 units
Answer:
D. 9.28 units
Step-by-step explanation:
DF is the hypotenuse of the triangle.
[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b}[/tex]
[tex]\implies \frac{sin(55)}{7.6} =\frac{sin(90)}{DF}[/tex]
[tex]\implies DFsin(55) =7.6sin(90)[/tex]
[tex]\implies DF =\frac{7.6sin(90)}{sin(55)}[/tex]
[tex]\implies DF =9.277886875...[/tex]
[tex]\implies DF =9.28\ \textsf{units (nearest hundredth)}[/tex]
Eighty percent of students in your school own a bike. Of a sample of students in your school, the ratio of students who own a bike to students who do not own a bike is 8 : 2. Does the sample closely estimate the percentage of students in your school who own a bike? yes or no
Answer:
Yes, the sample's estimation about the percentage is accurate.
Answer:
yes
Step-by-step explanation:
It does because 10 would be 100% 8 is 80% and 2 is 20% that is why it closely estimates the percentage.