Answer:. The numbers are 41 and 14
Step-by-step explanation: X and Y represent the digits. In the Tens place, the digit has 10× its base value. Therefore we can set up equations to model the information given:
10x+y = 10y + x +27
X + Y = 5
y =5-x rewritten to substitute for y
10x + 5-x = 10(5-x)+x +27
Distribute and then combine like terms:
9x +5 = 50 - 9x +27
Add 9x to both sides; subtract 5 from both sides.
9x +9x = 50+27-5
18x = 72 Combine like terms. Then divide both sides to solve for x.
x = 4
4+y=5 Substitute 4 for x; solve for y.
y=1
Substitute values of x and Y into the original equation and check.
40 +1 = 10 +4 + 27
41 = 14+ 27
True! 41=41
The numbers are 41 and 14.
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?
The older sibling will catch the younger sibling after ? second(s) and running ? feet.
Answer:
it would take approximately 8 seconds
Step-by-step explanation:
7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88
a car travels 100 miles in 4 hours. what is its average speed
Answer:
[tex]Speed \: of \: the \: car \: is \: = \frac{100}{4} = 25 \: miles {(hours)}^{ - 1} [/tex]
Katelyn had $132. She spent $28 buying gifts for her friends and $32 on books. Estimate how much money she has left by first rounding all numbers to the nearest ten and then subtracting.
Answer:
Pretty sure it's $70.
Step-by-step explanation:
The first thing you need to do is round to the nearest ten. To do that you see if $28 is closer to $20 or $30. And it is closer to $30. The see if $32 is closer to $30 or $40. And it's closer to $30. Then you subtract $132 minus $30 minus $30. And you get $72. If they are asking what the nearest ten is for the answer, then it would be $70.
Answer:
70
Step-by-step explanation:
A bicycle shop advertised all mountain bikes priced at a 1/3
discount. If the original price is $432, what is the sales
price?
Answer:
$288
Step-by-step explanation:
1/3 of a discount is = 2/3 of price
Multiply 432 by 2/3 and get 288.
Answer:
$288
Step-by-step explanation:
A 1/3 discount is .3333333... percent and so you simplify to .33 or 33% of a discount.
Multiply 432x.33 = 144
Subtract 432-144 to get 288 as you answer
How to do these math problems, due tomorrow and I need them done asap, really stressed
Solve the following expression when
a = 2 and d = 5
d2 + 3a + 6 + a
Answer:
given d=5 and a=2
5x2+ 3x2+6+2
10+6+6+2
=24
help help help PLS TY
Y'all I kinda need help in this problem
Answer:
4
Step-by-step explanation:
15km in 1 hour
60 minutes in 1 hour
60 min/15km
4 min per km
A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;
a). With replacement
i). Both are red
ii). One is black and the other yellow
b). Without replacement
i). Both are red
ii). One is black and the other yellow
Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The probabilities are; 1/16, 5/36, 5/96 and 20/69
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.
a) With replacement:
i) The probability that both will be red =
6/24 =1/4
1/4x1/4=1/16
ii) The probability of getting one black and a yellow =
8/24=1/3 10/24=5/12
1/3x5/12=5/36
b) Without replacement;
i) The probability of getting both red =
5/24x1/4 = 5/96
ii) The probability of getting one black and a yellow =
1/3x10/23 = 10/69
5/12x8/23 = 40/276 = 20/138 = 10/69
10/69+10/69 = 20/69
Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69
For more references on probability, click;
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Please help me I need the correct answer!!
Answer: ok so i think the answer is 4.2 or 5.2 if im wrong then well sorry
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
Jose has $800 in his checking account you withdrawals 40 per week for groceries write an equation that Jose can use to find out how many weeks it takes for him to have the remaining balance of $400
Find the value of x.
The triangle is equilateral, because all three angles will measure 60 degrees. This means that all three sides are equal, so:
7x + 19 = 11x - 89
4x = 108
x = 27
Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain
Answer:
a)16.32 rounded to the nearest whole number is 16 feet per second? True
b) 16.32 rounded to the nearest tenth is 16.3.? True
c) 16.32 rounded to the nearest hundredth is 16.33. ? False
Step-by-step explanation:
Select True or False for each statement.
a) 16.32 rounded to the nearest whole number is 16 feet per second. ?
16.32 to nearest whole number = 16 feet per second. This statement above is true.
b) 16.32 rounded to the nearest tenth is 16.3. ?
The number in the tenth position is 3, the number after it is 2.
Hence, 16.32 to the nearest tenth = 16.3
Hence, the above statement is true.
c) 16.32 rounded to the nearest hundredth is 16.33. ?
The number in the hundredth position is 2. There is no number after 2.
Hence,
16.32 to the nearest hundredth is 16.32
Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.
In the diagram if AE = AB, find the area shaded.
Answer:
Area shaded = 60 [tex]cm^{2}[/tex].
Step-by-step explanation:
From the given diagram,
Area shaded = Area of the trapezoid EBCD
Given that: AE = [tex]\frac{1}{3}[/tex]AB
= [tex]\frac{1}{3}[/tex] x 12 (∵ AB = CD = 12 cm)
= 4 cm
AE = 4 cm,
Thus,
EB = (12 - 4) cm
= 8 cm
EB = 8 cm
Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD
= [tex]\frac{1}{2}[/tex] (8 + 12) x 6
= (20) x 3
= 60
Area shaded = 60 [tex]cm^{2}[/tex]
Find the difference 0.2 - 0.05 =
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
Learn more about subtraction here:
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What is the solution to this equation?
Answer:
x = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
4x - 6 = 10x - 3 ( subtract 10x from both sides )
- 6x - 6 = - 3 ( add 6 to both sides )
- 6x = 3 ( divide both sides by - 6 )
x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]
Please help me I give Branliest
Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(
Answer:
6x+3y≤30
6x+3y≤30=x
x≥5
Step-by-step explanation:
What is g(-5) equal to?
Answer:
-5g
Step-by-step explanation:
Multiply -5 and g.
A pickup truck travels 45 Mi on 2 and 1/3 gallons and goes19 miles on one gallon of gas. At that rate how far will it travel on 4 1/4 gallons of gas?
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
1-yes rhombus
2-no rhombus
3-yes rhombus
select the three objectives mosquitoes hovered around the small puddle of still murky water in the background
Answer:
Step-by-step explanation:
two more than 16 times a number is the same as 21 less than the product of -7 and the number
Answer:
-1Step-by-step explanation:
Let the number be x, and we have equation:
16x + 2 = -7x - 2116x + 7x = - 21 - 223x = - 23x = -1The number is -1
Answer:
-1
Step-by-step explanation:
"a number" = x
-- "Two more than 16 times a number." | 16 times a number means "16x" | Two more than just means add 2.
(16x + 2)
-- "Is the same as" means equals.
(16x + 2) =
-- 21 less than the product of -7 and the number | The product of -7 and the number means "-7x" | 21 less than means subtract 21.
(16x + 2) = (-7x - 21)
-- solve for x.
(16x + 7x) = (-21 - 2)
-- combine like terms.
23x = -23
-- Divide.
x = -1
(2x10^5) divided by (4x10^2)
Answer:
[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]
Step-by-step explanation:
[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]
Khan Academy question thanks for whoever answers
Answer:
A.
Step-by-step explanation:
Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!
Answer:
3 and 7
Step-by-step explanation:
Aspen added 14 to the product of 224 and 16 . What is the sum
Answer:
3,588
Step-by-step explanation:
224 x 16 + 14
= 3,588
hope this helps and have a good day!
Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?
Answer:
In my opinion this is the whole w
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
both
Janice wants to paint this figure on her wall in her bedroom. If paint cost $3.89 per square unit, how much will it cost to paint this figure on her wall?
Answer:we need to know the size of the wall
Step-by-step explanation:
solve: logx 64 = 3. Which is an equivalent equation?
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
2x-6> -16 and 3x-10≤8 Graph the solution to this inequality on the number line.
Answer:
Go to desmos. com and you can graph and see the points of it
Step-by-step explanation:
Desmos. com <----- It's going to be your friend dude
Math10. com