Answer:
Let the tens digit of the required number be x and the units digit be y. Then,
x+y=12 .........(1)
Required Number = (10x+y).
Number obtained on reversing the digits = (10y+x).
Therefore,
(10y+x)−(10x+y)=18
9y−9x=18
y−x=2 ..........(2)
On adding (1) and (2), we get,
2y=14⟹y=7
Therefore,
x=5
Hence, the required number is 57.
Step-by-step explanation:
Hope it is helpful...
Step-by-step explanation:
Let X be the 1st digit and Y be the 2nd digit of the two digit number.
We have X * Y = 12 and (10X + Y) = (10Y + X) + 9.
=> XY = 12 and 9X = 9Y + 9
=> XY = 12 and X = Y + 1
Therefore X = 4 and Y = 3. => Number is 43.
solve for x what is the solution to the system of equations
Answer:
x=-6,12
Step-by-step explanation:
Answer:
3,-2
Step-by-step explanation:
20+3xy-3xy+y²+10-y²
Options 1,2,3 or 4?
Answer:
It is option 4.
Step-by-step explanation:
Key skills needed to solve this problem: Combining like terms and simplifying
1) We have to combine like terms and simplify to the maximum
We first start with 3xy and - 3xy. These cancel out as they add up to make 0. Next. there is y^2 and -y^2. These also cancel out. The only 2 terms left are 20 and 10 which add up to make 30.Therefore, it is option 4.
Hope you understood! Have a nice day!! :D
Part B: What are the values of x and y?
4
Answer:
can anyone help me with this problem plzzz
Step-by-step explanation:
Find the lowest common multiple (LCM) of the 90 and 150
Answer:
450
Step-by-step explanation:
790 × 150 = 13500
GCF = 30
13500/30 = 450
Find the value of x. 8,13,x
Answer:
x=18
Step-by-step explanation:
Key skills needed: Arithmetic Sequences, Addition
1) We have a sequence of 8,13,x
2) To find the number being added every time, we do 13-8. This is 5.
3) This means x would be 13+5
4) 13+5 is 18 so x is 18.
Hope you understood and have a nice day!! :D
Answer right and I will give u brainly and if u dont know dont answer
Answer:
Step-by-step explanation:
j+28.6=43
-28.6 -28.6
_________________
j=14.4
Hope this helps :>
help me please. i need it
Answer: See explanation
Step-by-step explanation:
m∠A and m∠O are alternate interior angles so they're congruent.
m∠A = m∠O
m∠A = 65°
AM and SO are congruent sides
AM = SO
AM = 86
m∠S and m∠M are alternate interior angles so they're congruent.
m∠S = m∠M
m∠S = 60°
ON and NA are congruent sides.
ON = NA
ON = 75
m∡SNO, m∠S, and m∠O form a triangle so they should add up to 180°
m∡SNO + m∠S + m∠O = 180°
m∡SNO + 60 + 65 = 180
m∡SNO + 125 = 180
Subtract both sides by 125
m∡SNO = 55°
Hope that helped!
I NEED HELPPPPPP!!!! :DDDD WILL MARK BRAINLIEST TO THE BEST ANSWER!!!! PLEASE SHOW ALL SOLUTIONS!!!! In triangle ABC, the exterior angle at A measures (3x + 10)°, the exterior angle B measures (5x)°, and the exterior angle C measures (2x + 4)°. Determine the measure of the interior angle at A. THANK YOU AND GOD BLESS....!!!!
9514 1404 393
Answer:
∠A = 66.2°
Step-by-step explanation:
The sum of exterior angles of any polygon is 360°, so you have ...
(3x +10)° +(5x)° +(2x +4)° = 360°
10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °
x + 1.4 = 36 . . . . . . . . . divide by 10
x = 34.6
The interior angle at A is the supplement of the exterior angle there:
∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°
∠A = 66.2°
i) 5(3x + 2)
ii)3(5x+2)
iii) 15(x+1)
iv) 15(x+5)
v) X(15x+1)
Answer:
i) 15x+10
ii) 15x+6
iii) 15x+15
iv) 15x+75
v)15x^2+x
Step-by-step explanation:
you have to substitute the number outside the brackets to all the variables inside by multiplying.
(^) means power.
If the diagonal of a television screen is 24 inches and the width is 16 inches,
what is the height of the screen? Leave the answer in simplified radical form
Please show you're work
Step-by-step explanation:
Let x be the height of the screen.
Using Pythagoras' Theorem,
we have x² + 16² = 24².
Therefore x² = 24² - 16² = 320,
x = √320 = 8√5 in.
The height of the screen is 8√5 inches.
Y=60x+180
It's part of a question for my midterms
what are the X and Y intercepts of f(x)=-√x
Answer:
The function intercepts the x and y axis in the same spot, namely (0,0)
Please I need an answer FAST
Answer: C) 10cm
Step-by-step explanation:
-8b + 4(1 + 5b) = -6b - 14
Answer:
b = -1
Step-by-step explanation:
-8b + 4 + 20b = -6b - 14
12b + 4 = -6b - 14
18b + 4 = -14
18b = -18
b = -1
Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?
Hundreds
Tens
Ones
Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.
apples=??
Part C
How many apples will be left? Enter your answer in the box.
apples=??
Answer:
Answer:
Tens
PART B: 18
PART C: 24
Step-by-step explanation:
What expression is equivalent to 3z
Answer:
3 * z
Step-by-step explanation:
3 * z
if u multiply them, u get 3z
is that what u meant? or are there options to choose from, or did u forget to add something else?
A line with a slope of 3 passes
through the points (2, -1) and (4, 5).
Which of the following is not an
equation of the line that passes
through those points?
B. y = 3x-11
A. y+1 = 3(x-2)
D. y-5 = 3(x-4)
C. y = 3x-7
Answer:
We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.
Hence, option B is correct.
Step-by-step explanation:
Given the points
(2, -1)(4, 5)Finding the slope between (2, -1) and (4, 5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)[/tex]
[tex]m=\frac{5-\left(-1\right)}{4-2}[/tex]
[tex]m=3[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (2, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-2=3\left(x-\left(-1\right)\right)[/tex]
[tex]y-2=3\left(x+1\right)[/tex]
Add 2 to both sides
[tex]y-2+2=3\left(x+1\right)+2[/tex]
[tex]y=3x+5[/tex]
So, y = 3x+5 is one of the equation lines.
We can also check by substituting the values m = 3 and the point (4, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - 5 = 3(x-4)
So, y - 5 = 3(x-4) is also one of the equation lines.
Now, let say take the point (4, 5) an substitute in y = 3x-11
y = 3x-11
put x = 4 and y = 5
5 = 3(4)-11
5 = 12-11
5 = 1
FALSE!
Hence, the equation y = 3x-11 does not pass through (4, 5). Thus, the equation y = 3x-11 is not an equation of the line that passes through the points.
Now, let say take the point (4, 5) an substitute in y+1 = 3(x-2)
y+1 = 3(x-2)
put x = 4 and y = 5
5+1 = 3(4-2)
6 = 3(2)
6 = 6
TRUE!
Now, let say take the point (2, -1) an substitute in y+1 = 3(x-2)
-1+1 = 3(2-2)
0 = 0
TRUE!
Thus, the equation y+1 = 3(x-2) is an equation of the line that passes through the points.
Now, let say take the point (2, -1) an substitute in y = 3x-7
y = 3x-7
put x = 2 and y = -1
-1 = 3(2) - 7
-1 = 6-7
-1 = -1
TRUE!
Now, let say take the point (4, 5) an substitute in y = 3x-7
y = 3x-7
put x = 4 and y = 5
5 = 3(4)-7
5 = 12-7
5 = 5
TRUE!
Thus, the equation y = 3x-7 is an equation of the line that passes through the points.
Conclusion:
We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.
Hence, option B is correct.
Answer:b
Step-by-step explanation:
(1) In 2019, the energy company divided its profits in the ratio;
shareholders : bonuses : development = 5 : 2 : 6
In 2019, its profits were $390 million.
Calculate the amount the company gave to shareholders.
(2) The share price of the company in June 2019 was $285.25. This was an increase of 3.3% on the share price in May 2019.
Calculate the share price in May 2019.
9514 1404 393
Answer:
(1) $150 million
(2) $276.14
Step-by-step explanation:
(1) The ratio 5 : 2 : 6 to shareholders : bonuses : development tells us that the fraction of profits to shareholders is ...
5/(5+2+6) = 5/13
The dollar amount to shareholders is then ...
(5/13)($390 million) = $150 million
__
(2) We have ...
$285.25 = (1 +3.3%) × (May price)
May price = $285.25/1.033 = $276.14
Answer:
19
Step-by-step explanation:
A recipe requires 1\4 of a cup of cranberries for 1 batch. How many beaches of scones can be made using 6 1/2 cups of cranberries?
Answer:
26
Step-by-step explanation:
1 batch is 1/4 cups of cranberries.
This means that we have to find the number of groups of 1/4 in 6 1/2 cups to find the number of batches.
(The decimal forms of these numbers are 6.5 and 0.25)
6.5/0.25=26
There are 26 batches
HELP PLEASE!!!!! ASAP
Answer:
I think it would be A
Step-by-step explanation:
ABC DEF
AB corresponds to DF.
True
False
it's false
I guess
have a nice day
Troy and Phillip both noticed that each time they represented a problem with a division sentence, they could write a related multiplication sentence. Their team decided
to see if they could represent each situation below in four ways: with words, diagrams, a multiplication number sentence, and a division number sentence.
Help them finish what they started by filling in the missing representations. Part (a) is already completed.
a. Question in Words: How many quarter-pies make three whole pies?
Symbols (2 sentences): 3 + 1 = 12 and 3 . 4 = 12
Diagram:00
Answer in Words: Twelve quarter-pies make three whole pies.
b. Question in Words: f is of how much money?
Symbols (2 sentences):
Diagram:
Answer in Words:
c. Question in Words: How many half-dollars make $30?
Answer:
yeah same its just nice to have the person's presence their
Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.
Given that,
An equation : [tex]x^2 + 13x + 30 = 0[/tex]
To find,
The value of x.
Solution,
We have, [tex]x^2 + 13x + 30 = 0[/tex]
We can solve it as follows :
[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]
So, the solution of the given equations are -3 and -10.
Find equation of straight line passing through (2,3) and having slope 1/2
Answer:
y=1/2x+2
Step-by-step explanation:
2=x 3=y slope=1/2
y=mx+b
3=1/2(2)+b
3=1+b
3-1=b
2=b
A house on the market was valued at $212,000. After several years, the value decreased by 7%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Answer:
It decreased by $14,840 and the current value is $197,160
Help fast please
What types of angles are in each of these quadrilaterals?
acute and right angles
obtuse angles only
acute angles only
acute and obtuse angles
Answer:
Acute and Obtuse..I cant see any right
Step-by-step explanation:
Answer:
D) Acute and Obtuse angles
Step-by-step explanation:
The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.
The orange one has 2 acute and 2 obtuse angles
And the green one has both acute and obtuse angles.
Find the vertices of the following functions.
Y=4(x-2)(x-3)
Y=-4(x+2)^2 -5
The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?
Answer:
24 children
Step-by-step explanation:
If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;
[tex]y \alpha \frac{1}{x}\\y =\frac{k}{x}[/tex]
k is the constant of proportionality
If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6
Substitute:
6 = k/16
k = 6*16
k = 96
W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x
y = 96/4
y = 24
Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours
What does two plus two equal?
Answer:
two plus two equals 4
2 +2 = 4
Answer:
4
Step-by-step explanation:
when you do 2+2 you get 4
A football team won 75% of 60 games in a season. How many games did they win?
Answer:45 games
Step-by-step explanation: 1+1 is 2 so yeah
Answer:
I think its 45 games
Step-by-step explanation:
75% times 60 = 45
*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.