Let n be the unknown number. We can write it as
n = 10a + b
with a and b integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
m = 10b + a
The first number is increased by 54 when the digits are reversed, which means
m = n + 54 → 10b + a = 10a + b + 54 → 9b - 9a = 54 → b - a = 6
The digit in the tens place of n is 3 times the digit in the ones place, so
a = 3b
Substitute this into the previous equation and solve for b :
b - a = b - 3b = -2b = 6 → b = -3
Solve for a :
a = 3b = 3(-3) = -9
Then the original number is n = 10a + b = 10(-9) + (-3) = -93
Find The Missing Lenght of the right triangle. Round to The Nearest
Answer:
b ≈ 8.49
Step-by-step explanation:
A^2 + b^2 = c^2. (Pythagorean theorem)
c is the hypotenuse or the longest side of a triangle.
a and b are the other 2 sides.
17^2 + b^2 = 19^2
289 + b^2 = 361
289 + b^2 - 289 = 361 - 289
b^2 = 72
b ≈ 8.49
Have a great day!
On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?
Answer: 50 degrees
Step-by-step explanation:
36 - - 14
36 + 14 = 50
A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?
Answer: 12 days
Step-by-step explanation:
Given
A community pool charges $78 for a swim lesson and $2 for a towel each day
Suppose Yolanda attended the session for x days
So, we can write the total fees of $102 as
[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]
So, Yolanda attended the swim lessons for 12 days
HELP ASAPPPPP PLEASEE
Answer:
A, B, B, A.
Step-by-step explanation:
The corner is 90 degrees. Therefore it has one right angle and is right. An isosceles triangle has 2 sides of equal length.
Answer:
abba.
Step-by-step explanation:
ksksskskwkwrandommmmmm
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *
Answer:
please apply the formula of distance
l think but not sure
Given the following kite find:
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
A cooler shape of a rectangular prism. What is the volume of the cooler? Round to the nearest tenth if necessary.
Answer:
Volume of the cooler = 2,772 in³
Step-by-step explanation:
Volume of the cooler = length × width × height
Length = 22 in
Width = 12 in
Height = 10 1/2 in
= 21/2
= 10.5 in
Volume of the cooler = length × width × height
= 22 in × 12 in × 10.5 in
= 2,772 in³
Volume of the cooler = 2,772 in³
Can some one help me with this question its hard :( down below ill give brainliest
Answer: A. Suzy made an error going from Step 1 to Step 2.
Step-by-step explanation: Following the order of operations (PEMDAS), we know that exponents are dealt with before multiplication. Suzy used the distributive property of multiplication going from step 1 to step 2, rather than working with the exponent.
Give a brief definition of the term population.
a prediction of the entire collection of individuals about which information is required
a prediction about a subset of the entire collection of individuals about which information is required
a subset of the entire collection of individuals or objects about which information is required, selected for study in some prescribed manner
the entire collection of individuals or objects about which information is required
Answer:
The term population refers to the total number of organisms/people occupying specific area is known as population.
25 p ² + 70p+49=0
Answer please
Answer please
Step-by-step explanation:
25 p² + 70p +49=0
(5p + 7)(5p + 7) = 0
(5p + 7) =0
5p = -7
so, P = -7/5
Can someone help me with this?
Answer:
d and e
Step-by-step explanation:
The circumference of a circle is 10 cm. What is the Radius of the circle
Answer:
The radius is 5
Step-by-step explanation:
The radius is half the circumference. Therefore, 10 ÷ 2 = 5.
Answer:
5
Step-by-step explanation:
I belI've it would be 5 um yea
have a great day
solve the following inequality algebraically
SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.
Answer:
TQ=SR [since it is isosceles trapezoid]
6x+1.2=9x-48
48+1.2=9x-6x
3x=49.2
x=49.2/3=16.4
now
QR=3×16.4+2.5=51.7
SR=9×16.4-48=99.6
ST=4×16.4-2=63.6
TQ=6×16.4+1.2=99.6
As it's isosceles trapezoid
QT=RS9x-4.8=6x+1.23x=6x=2Now
QR=3(2)+2.5=8.5
RS=9(2)-4.8=13.2
ST=4(2)-2=6
QT=6(2)-1.2=10.8
find the value of x in the triangle shown below 4 9
Answer:
the answer is 65
Step-by-step explanation:
hopes this helps :)
Find the mean of the picture below?
What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?
Answer:
Step-by-step explanation:
2006053?
Answer:
2,000 + 600 + 50 + 3 = 2,653
Step-by-step explanation:
HELP ME PLEASE.....................................................
Please help will mark Branliest!! Determine if the problem is a permutation or a combination. Then find the number of possibilities. image attached. This is a combination/permutation and the answer ___.
Answer:
It is a permutation problem. There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.
Step-by-step explanation:
In this case, the company will hire four different applicants from a group of 40 people for 4 different jobs. In this case, we need to consider the effect of order in the number of possibilities. Hence, we must use the permutation formula:
[tex]_{n} P_{k} = \frac{n!}{(n-k)!}[/tex] (1)
Where:
[tex]n[/tex] - Total of applicants.
[tex]k[/tex] - Selected applicants.
If we know that [tex]n = 40[/tex] and [tex]k = 4[/tex], then the number of possibilities is:
[tex]_{40}P_{4} = \frac{40!}{(40-4)!}[/tex]
[tex]_{40}P_{4} = 40\times 39 \times 38 \times 37[/tex]
[tex]_{40}P_{4} = 2193360[/tex]
There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.
Susan is also selling brownies. Her profit for x brownies is shown in the table below. If she uses the function y = mx + b to represent her profit, what is the parameter "m" in context?
Brownies Sold Profit
3 $6
5 $10
11 $22
A. m=6 and it represents her profit after selling 0 brownies
B. m=2 and it represents the amount she charges per brownies
C. m=2 and it represents her profit after selling 0 brownies
D. m=6 and it represents the amount she charges per brownies
Answer:
aaaaaaaaaaaaaaa
Step-by-step explanation:
Find the area. Simplify your answer
Answer:
man you still have to use IXL
Step-by-step explanation:
∠1 and ∠2 are supplementary angles. ∠1 and ∠3 are vertical angles. If m ∠2=72 degrees, then find m ∠3
Answer:
m<3 = 108
Step-by-step explanation:
Since <1 and <2 are supplementary, the equation is:
<1 + <2 = 180
Since <1 and <3 are vertical angles. the equation is:
<1 = <3
To find m<3:
<2 + <3 = 180
72 + <3 = 180
<3 = 180 - 72
<3 = 108
The measure of angle ∠3 is 108 degrees.
What is supplementary angle?Supplementary angles are those angles that sum up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.
What is vertical angle?Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.
For the given situation,
∠1 and ∠2 are supplementary angles.
∠1 and ∠3 are vertical angles.
Measure of angle, m ∠2 = 72
From definition, we know that
∠1 + ∠2 = 180 (supplementary angles) ------- (1)
and
∠1 = ∠3 (vertical angles) --------- (2)
From (1) and (2),
⇒ [tex]\angle3 + \angle2 = 180[/tex]
⇒ [tex]\angle3=180-72[/tex]
⇒ [tex]\angle3=108[/tex]
Hence we can conclude that the measure of angle ∠3 is 108 degrees.
Learn more about measurement of angles here
https://brainly.com/question/3027144
#SPJ2
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Learn more on vertex form here: https://brainly.com/question/525947
7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?
Answer:
27
Step-by-step explanation:
Boys to girls is 2:3
and there are 18 boys so that means the 2 in 2:3 is actually 18
and 2 x 9 = 18 , so you would need to also multiply 3 by 9.
3 x 9 = 27
18:27
there are 27 girls
Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =
Answer:
12/49
Step-by-step explanation:
how many ways can you arrange 28
Answer:
In 6 ways 28 can be arranged
Step-by-step explanation:
1 × 28 = 28
2 × 14 = 28
4 × 7 = 28
7 × 4 = 28
14 × 2 = 28
28 × 1 = 28
Thus, In 6 ways 28 can be arranged
-TheUnknownScientist
a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у
Step-by-step explanation:
Given equation is x+y=6
Table:-[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]
A rectangular container with a base of 24 inches by 15 inches is 1/3 filled with water. If all the water is poured into an empty rectangular container measuring 12 inches by 18 inches by 10 inches, it will fill the second container to its brim. What is the height of the first container?
Answer:
18 inches
Step-by-step explanation:
volume of a cuboid = length x breadth x height
the following equation can be derived from the question
let h = unknown height
1/3(24 x 15 x h) = (12 x 18 x 10)
Multiply both sides of the equation by 3
(24 x 15 x h) = (12 x 18 x 10) x 3
Divide both sides of the equation by (24 x 15)
h = 18 inches
Solve
f(x)=2x^2+6, fund the value if f(x+3)
Answer:
F=2x^2+24
Step-by-step explanation:
F (x+3)=2x^2+6
F=2(x+3)^2+6
F=2(X^2+9)+6
F=2x^2+18+6
F=2x^2+24