==========================================================
Explanation:
For the original two digit number, we have:
x = tens digity = units digit (aka ones digit)The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.
This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:
(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)
This sum is stated to be 154
11(x+y) = 154
x+y = 154/11
x+y = 14
Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x
x+y = 14
x+x-2 = 14 ... replace y with x-2
2x-2 = 14
2x = 14+2
2x = 16
x = 16/2
x = 8 is the tens digit of the original number
y = x-2
y = 8-2
y = 6 is the units digit of the original number
The original number is 10x+y = 10*8+6 = 86
As a check, adding 86+68 = 154 which confirms our answer.
Harold is a delivery truck driver. He put 578.25 miles on his truck during the first week of the month. He drove only 412.79 miles in the second week. How many more miles did he drive the first week than the second week?
Answer: Harold drove 165.46 more miles in the first week, then he did in the second.
Step-by-step explanation:
This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.
You can look up how to do subtraction by hand online, but after calculating the equation:
[tex]578.25-412.79[/tex], we end up with 165.46.
find the distance between G point a and point H
Answer:
i dont know
Step-by-step explanation:
Sandra has 5/8 of a cup of dog food in her hand and is combining it with food already in the bowl. If there is already 1/4 of a cup in the bowl, how much is there all together
Answer:
7/8 of a cup of dog food
Step-by-step explanation:
You would have to add 1/4+5/8, which would equal 2/8+5/8, which equals 7/8 of a cup of dog food.
Ally is given three different sums of the same sequence to calculate. If she completes the three problems in order do the sums increase or decrease in value. Why? A) The sums decrease in value because you are subtracting. B) The sums increase in value because even though you are multiplying and adding. There is no subtraction or division. C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multplied so they will increase. D) The sums decrease in value because even though you are increasing the positive number that is being multplied you have to subtract 7 from each answer so they will decrease.
If Ally is given three different sums of the same sequence to calculate, and she completes the three problems in order C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multiplied so they will increase.
The sums will not decrease in value because there is no subtraction. They will not increase in value because of multiplication or addition. The sums will not decrease in value because of the subtraction of 7 from each answer.
Thus, the sums will increase in value because of the increasing positive number that is being multiplied.
Learn more: https://brainly.com/question/22104509
5% of 120 pls help
Help hurry fast find the missing digits
Gordon won the lottery and distributed the prize among his children. Peter received
22% of the prize, Amy received 23% and John and Mary split the rest remaining in
equal parts. If Mary received $14,000, what was the lottery prize worth? Solve the
problem by first formulating an equation(s)/inequality.
Answer:
x= 14000/0.55
Step-by-step explanation:
X×(1-0.22-0.23)= 14000
X-0.22-0.23x= 14000
0.55=14000
X= 14000/0.55
sorry if it doesn't help and I'm not sure if it's right
Kenny wants to buy 2 kilograms of hamburger buns and 2 kilograms of wheat rolls. How much will he spend? spelt rolls $5.83/kilogram hot dog buns $7.92/kilogram hamburger buns $8.46/kilogram wheat rolls $5.88/kilogram English muffins $5.74/kilogram
Tangina mo Bobo mo putangina mo!!
Answer:
hwag naman ganyan lods baka ikaw bb dahil dimo mailagay answer
I don’t understand this
Answer:
there is no answer without picture
Step-by-step explanation:
sorry cant answer
The y coordinate of the vertex of f (x)=-x^2+8x+7 is f(4)
Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let [tex]f(x)=ax^2+bx+c,~a\neq0[/tex]. Its vertex can be found on the coordinates [tex](x_v,~y_v)[/tex] such that [tex]x_v=-\dfrac{b}{2a}[/tex] and [tex]y_v=-\dfrac{b^2}{4a}+c[/tex], in which [tex]y_v=f(x_v)[/tex].
Using the coefficients given by the question, we get that:
[tex]x_v=-\dfrac{8}{2\cdot(-1)}\\\\\\ x_v=-\dfrac{8}{-2}\\\\\\ x_v=4[/tex]
Thus, we have:
[tex]y=f(x_v)=f(4)[/tex]
So the statement is true, because the [tex]x[/tex] coordinate of the vertex of the function is equal to [tex]4.~~\checkmark[/tex]
Which of the following sets of ordered pairs represent a function? Check all that are true.
Answer:
A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
Step-by-step explanation:
So all of them are functions I guess...?
PLEASE HELP a telegraph pole 7.5 metres high is held firm by a wire attached to its top and fixed to the ground 6.4 metres from the foot of the pole. how long is the wire? what is the angle of deviation?
Answer:
The flagpole is
4
meters tall.
Explanation:
The wire, the flagpole, and the ground make up the three sides of a triangle.
One angle of this triangle is given as
45
o
.
The angle of the flagpole with the ground must be
90
o
.
So the last angle must be
45
o
.
Because of the right angle
(
90
o
)
of the flagpole and the ground, this is a
right triangle
. The wire forms the hypotenuse.
Because both of the other angles are the same (both are
45
o
), this is an
isosceles
right triangle (the legs are equal.)
This particular kind of right triangle is called a
45
−
45
−
90
triangle, named for the degrees in its angles.
...
...
...
...
...
...
...
.
. . . . . . . . . . . . . . .
The measurements of these triangles are known by memorization:
The
45
−
45
−
90
isosceles right triangle has these properties:
It forms half a square, cut in half along the diagonal, so it is a
right triangle
.
This diagonal line forms the
hypotenuse
of the triangle.
The sides
s
(the legs) are the same as each other, so
it is an
isosceles right triangle.
The length of the hypotenuse is always
s
√
2
Here is a diagram of the
45
−
45
−
90
isosceles right triangle:
Step-by-step explanation:
Provide the reason. for 100 pts
Answer:
Substitution property of equality
Step-by-step explanation:
m<5=90°[tex]\\ \sf\longmapsto m<2+m<5=180[/tex]
Substitute m<5[tex]\\ \sf\longmapsto m<2+90°=180°[/tex]
Answer:
Substitution property of equality
Step-by-step explanation:
¿Cómo puedo encontrar el area total de todas las ventanas en el dibujo?
Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put 5 pears in each fruit basket. If Lisa assembles gift baskets until she has only 1 pear left, how how many gift baskets can she make?
Answer:
12 fruit baskets
Step-by-step explanation:
66 / 5 = ?
66 / 5 = 13.2
13.2 - 5 = 12
(12)
Answer:
13
Step-by-step explanation:
66/5 = 13.2
13.2 rounded is 13
+ I did ixl
PLEASE HELP ME
graph the inequality
Answer:
unfortunatly i need the inequality to graph it
Step-by-step explanation:
I need help thanksss
Answer:
m<h=59º
Step-by-step explanation:
126=6x-1+17+5x
126=11x+16
126-16=11x
120-10=11x
110=11x
10=x
6(10)-1=59
Answer:
m<H = 59°
Step-by-step explanation:
Use the theorem on the measure of an exterior angle of a triangle.
5x + 17 + 6x - 1 = 126
11x + 16 = 126
11x = 110
x = 10
m<H = 6x - 1
m<H = 6(10) - 1
m<H = 60 - 1
m<H = 59°
HELP HELP HELP
Which statement about proportional relationships is false?
A proportional relationship must graph as a line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.
Answer:
here you go
Step-by-step explanation:
the last one is "Each point (or pair) in a proportional relationship must share the same difference."
Answer:
Step-by-step explanation:
Given : Statement about proportional relationships
To Find : Which statement is False
Solution:
proportional relationships
y ∝ x
=> y = kx
Comparing with line line of equation
y = mx + c
m = k , c = 0
Hence A proportional relationship must graph as a line
TRUE
at x = 0 , y = 0
Hence graph of a proportional relationship must pass through (0, 0).
TRUE
y = kx
=> y/x = k hence
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.
Tolong bantu saya nanti saya bantu kamu kalo bisa
Answer:
C. -8
Step-by-step explanation:
x≥-48/5; ⇔ x≥-8.8, then
the smallest integer is -8.
when evaluated for x=5 the expression x^2-10/x+5 is equal to?
Answer:
35
Step-by-step explanation:
Because X=5, the equation is literally just asking 5x5=10. So, following the order of operations, I would do 5x5 first which equals 25 plus 10. Since 25+10=35. The answer is 35. Hope this helps! :p
can anyone help me please
Step-by-step explanation:
Realize that:
speed = distance / time and thus
time = distance / speed
Then the whole journey of 40/60 hours is the sum of (let's call them t1 and t2)
cycling: t1 = 2/y hours
running: t2 = 4/(y-4) hours
so we must simplify t1+t2=40 minutes (a.k.a. 4/6 hours):
2/y + 4/(y-4) = 4/6
let's multiply the first term by (y-4)/(y-4) and the second term by (y/y):
[tex]\frac{2(y-4)}{y(y-4)} + \frac{4y}{y(y-4)} = \frac46[/tex]
since they now share a common denominator:
[tex]\frac{2(y-4) + 4y}{y(y-4)} = \frac46[/tex]
[tex]\frac{6y-8}{y(y-4)} = \frac46[/tex]
cross-products:
[tex]6 (6y-8) = 4y(y-4)[/tex]
further simplification:
[tex]36y - 48 = 4y^2 - 16y[/tex]
[tex]4y^2 - 52y + 48 = 0[/tex]
[tex]y^2 - 13y + 12 = 0[/tex]
q.e.d.
Consider 3x=y . Complete the table for the equation
Answer:
x | y
0 | 3
1 | 6
2 | 9
Step-by-step explanation:
Slope of the line that passes through (5,7) and (7,8)
Answer:
0.5
Step-by-step explanation:
To find the slope, you just have to do (y-y₁) / (x-x₁) where x and y are from the same point and x₁ and y₁ are from the same point. So just substitute in the values to get (7 - 8) / (5 - 7) which is -1 / -2 which is 1/2 or 0.5.
George bought 30 packs of football card store 14 cars in each pack how many cross the gorge by
Answer:420
Step-by-step explanation:
Brainlest if it correct
3t - 17 if t = 100
HELPPPPP
Answer:
283
Step-by-step explanation:
Plug in 100 for t in the equation.
First multiply 3 by 100 to get 300.
Then do 300-17 to get 283
Answer:
The Answer is 283
Step-by-step explanation:
Substitute t for 100
100*3=300
300-17=283
final Answer: 283
Maggie has $40 to buy a new dress and hair accessory for her school dance the dress she wants cost $35.75 the cost of her hair accessory is $2.80 does Maggie have enough money to purchase for the dress in the hair accessory Explain how can you use estimation to answer this question
Answer:
Yes Maggie has enough money to purchase the dress and hair accessory.
Step-by-step explanation:
Dress = $35.75
Hair accessory = $2.80
Total amount of money = $40
Does her have enough money?
Total Money in pocket - (Dress cost + hair accessory)
$40.00 - ($35.75 + 2.80)
$40.00 - ($36.00 + $3.00) Round to the nearest dollar
$40.00 - $39.00 = $1.00
Yes
Mohan opened a Recurring deposit Account in a bank for five year and deposite 100 RS every month. If the rate of interest 6% per annum them how much money will he get after 5 years.
Answer:
☼︎Information Provided:
Mohan opened a Recurring deposit Account in a bank for five yearsHe deposited Rs.100 every monthRate of interest is 6% per annum☼︎What we have to calculate :
How much money will he get after 5 years?☼︎Using Formulas :☼︎Maturity value:-
[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]
☼︎Interest:-[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]
☼︎In both the formulas,
P is Principaln is number of monthsr is rate of interest☼︎Performing Calculations :
Finding out the interest by substituting the values in the given formula of calculating the interest~
☼︎Number of months :
☼︎We know that,1 year = 12 months5 years = 12 × 5 months5 years = 60 months☼︎We have :
P is 100r is 6%n is 60☼︎Putting the values :
[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]
☼︎Now, putting the values in formula of M.V. :
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]
[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]
[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]
[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
☼︎Additional InformationInterest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is
[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]
Maturity Value (MV)
Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by
[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
Answer
Rs.6915after5yearsThe division problem below is being solved using long division. Use what you know about division to figure out the mystery divisor, then describe how you found it.
The mystery divisor to the question based on the information given is 18.
How to determine the divisor?Dividing the first dividend 4 by the unknown divisor x and getting the first number 2 in the quotient and when the quotient 2 is multiplied by the divisor gives 36, so definitely, 4 cannot be used
Using 40 as the dividend, 40 divided by the divisor x gives 2 as the first quotient. And the first quotient 2 multiplied by the divisor x gives 36.
And to interpret this, 2x=36
Dividing through by 2x=36
x = 36/2
x = 18
So, the divisor is 18
Read more about Division on:
https://brainly.com/question/28119824
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If sine
= 3/5 then tane =
According to the question
sinA =
Method : 1( By Theorem )
sinA =
Let,
Height from angle A = 3 x
Hypotenuse of triangle = 5 x
By Pythagoras Theorem
Hypotenuse^2 = height^2 + base^2
( 5 x )^2 = ( 3 x )^2 + ( base )^2
25x^2 - 3x^2 = ( base )^2
16x^2 = base^2
( 4x )^2 = ( base )^2
4x = base
Therefore, cosA =
=
=
And, tanA =
=
=
Method : 2 ( Identities )
We know, sin^2 A + cos^2 A = 1
Substituting value,
( 3 / 5 )^2 + cos^2 A = 1
cos^2 A = 1 - 9 / 25
cos^2 A = ( 25 - 9 ) / 25
cos^2 A = 16 / 25
cos^2 A = ( 4 / 5 )^2
cos A = 4 / 5
tanA = sinA / cosA
= ( 3 / 5 ) / ( 4 / 5 )
=3/4
someone knows what the answer to this question is, help me please
Answer:
x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°
Step-by-step explanation:
Given the quadrilateral in which the sum of its four angles is 360°.
We can establish the following formula to find the value of x, and determine the measures of each angle:
x° + 2x° + 3x° + 4x° = 360°
Combine like terms:
10x° = 360°
Divide both sides by 10 to solve for x:
[tex]\mathsf{\frac{10x^{\circ}}{10}\:=\: \frac{360^{\circ}}{10}}[/tex]
x = 36°
Substitute the value of x into each unknown angle measures:
x = 36°
2x° = 2(36)° = 72°
3x° = 3(36)° = 108°
4x° = 4(36)° = 144°
Verify whether the sum of the previously unknown angle measures equal 360°:
x° + 2x° + 3x° + 4x° = 360°
36° + 72° + 108° + 144° = 360°
360° = 360° (True statement).
Therefore, the following are the angle measures of the given quadrilateral: x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°