Answer:
First number = 25
Second number = 14
Step-by-step explanation:
Let the numbers be x & y
The sum of twice the first and thrice the second is 92
2x + 3y = 92 -------------------(I)
Four times the first exceeds seven times the second by 2
4x - 7y = 2 --------------------(II)
Multiply equation (I) by -2 and then add the equations
(I)*-2 -4x - 6y = -184
(II) 4x - 7y = 2 { Now add, thus x will be eliminated}
- 13y = -182 {Divide both sides by -13}
y = -182/-13
y = 14
Plugin the value of y in equation (I)
2x + 3*14 = 92
2x + 42 = 92
2x = 92 - 42
2x = 50
x = 50/2
x = 25
First number = 25
Second number = 14
The circumference of a circle measures the distance around the circle.
True or False
Answer:
True
Step-by-step explanation:
Answer: True
Step-by-step explanation:
The length of TR is 17 units. What are the lengths of SV and QT? (please hurry i dont get this question) also i need each individual answer, not SV + QT, I need SV and QT
Answer:
QT = 21SV = 41Step-by-step explanation:
From the diagram, it can be seen that TR is parallel to RV. This means that TR = RV. Given TR = 17 and RV = 3x+2
3x+2 = 17
3x = 17-2
3x = 15
x = 5
RV = 3(5)+2 = 17
QV = 4x+1 = 4(5)+1
QV = 21
Using Pythagoras theorem on ΔQRV to get RQ
QV² = QR²+RV²
21² = QR²+17²
QR² = 21²-17²
QR = 12.33
Using Pythagoras theorem on ΔQRT to get QT
From ΔQRT,
QT² = QR²+TR²
QT² = 12.33²+17²
QR² = 152.0289+289
QT² = 441.0289
QT =21
Since TS = 9(5)-4 = 41
Using Pythagoras theorem on ΔTRS
From ΔTRS,
TS² = RS²+TR²
41² = RS²+17²
RS² = 41²-17²
RS² = 1392
RS = 37.31
Similarly Using Pythagoras theorem on ΔRSV
From ΔRSV,
SV² = RV²+RS²
SV² = 17²+37.31²
SV² = 1681.0361
SV = 41
Answer:
SV=41
QT=21
Step-by-step explanation:
Got it right on ed
Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) hwo many outcomes end with over 8$
b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?
Answer:
343
Step-by-step explanation:
There are quarters(25¢), loonies ($1), and toonies ($2)
And total number of coins is 9
If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7
If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7
If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7
So possible number number of combination for an item that cost between $10 and $12 is
= 1^3 * 1^3 * 7^3
= 343
hope this helps, stay safe :)
The number of different combinations of coins could Teo use to pay for an item that costs between $10 and $12 is 17.
What are Combinations?Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.
Given that,
Teo has a combination of quarters, loonies, and toonies in his pocket.
Total number of coins = 9
1 quarter = $0.75
1 loonie = $1
1 toonie = $2
If he uses fewer toonies than loonies,
Total number of combinations of 9 coins = 1³ × 1³ × 7³ = 343
We need the number of combinations in between $10 and $12.
We can form the following combinations.
(2 × $1) + $2 gives $4. Remaining can be 8, 9 and 10 quarter coins.
(3 × $1) + (2 × $2) gives $7. Remaining can be 4, 5 and 6 quarter coins.
(3 × $1) + (1 × $2) gives $5. Remaining can be 7, 8 and 9 quarter coins.
(4 × $1) + (3 × $2) gives $10. Remaining can be 1 or 2 quarter coins.
(4 × $1) + (2 × $2) gives $8. Remaining can be 3, 4 and 5 quarter coins.
(4 × $1) + (1 × $2) gives $6. Remaining can be 6, 7 and 8 quarter coins.
Total number of combinations = 3 + 3 + 3 + 2 + 3 + 3 = 17
Hence the total number of combinations are 17.
Learn more about Combinations here :
https://brainly.com/question/28042664
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I don’t get it please help
Step-by-step explanation:
A) 1
B) 3
C)4
D)11
E)8.75
F)240
G)12
H)1.5
(Make the ratios equal to each other)
(In reduced versions of themselves)
Answer:
a. 1 person
b. 3 people
c. 25 track shirts
d. 12 CDs
e. $8.75
f. 240 miles
g. $12
h. 1.5 gallons of red paint
Step-by-step explanation:
find out what the new given denominator (bottom number)/ numerator (top number) and divide the missing denominator/numerator by the number founded for the given numerator. in example: 3 people/9 pizzas. we are given the denominator of 3 pizzas and 9 divided by 3 is 3. so if the denominator is is dived by 3 the numerator must be divided by 3 as well. vice versa (same thing) if it was the numerator was given.
Help me with this question
Answer:
Around 25.8 square units
Step-by-step explanation:
[tex]A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8[/tex]
Hope this helps!
Express your answer in scientific notation. 4.9\cdot 10^{5} - 5.8 \cdot 10^{4} =4.9⋅10 5 −5.8⋅10 4 =4, point, 9, dot, 10, start superscript, 5, end superscript, minus, 5, point, 8, dot, 10, start superscript, 4, end superscript, equals on khan academy Adding & subtracting in scientific notation.
Answer:
[tex]4.32*10^{5}[/tex]
Step-by-step explanation:
Given the expression [tex]4.9*10^{5}-5.8*10^{4}[/tex], to solve the expression, we need to write both scientific notation to the same power of 10.
[tex]5.8*10^{4} is \ expressed\ as \ 0.58*10^{5}[/tex]
The expression above becomes [tex]4.9*10^{5}-0.58*10^{5}[/tex]. On taking the difference;
[tex]4.9*10^{5}-0.58*10^{5}\\= (4.9-0.58)*10^{5} \\= 4.32*10^{5}[/tex]
The final expression gives the right answer
You are playing a board game with a friend. She owns and has developed the tiles Green Gardens and Silver Sidewalks. If you roll an 8, you will land on Green Gardens and owe her $1500. You will be able to pay, but you will not have money left afterward. If you roll a 9, you will land on the tile King's Taxes and have to pay $75. If you roll a 10, you will land on Silver Sidewalks and owe her $2000, which is more than you can pay—and lose the game. If you roll a 7 or less, you will not have to pay any money to anyone. Your friend offers you insurance. Pay her $500 before you roll and even if you land on Green Gardens or Silver Sidewalks, you will not have to pay any additional money. However, if you roll a 7, you will have to pay her $1000. Use probabilities to find expected values. Then compare the amount of money you should expect to pay out on average, under her insurance and by chance. Is her deal fair?
Answer:
The expected value can be calculated as:
Es = x₁*p₁ + x₂*p2 + .....
where xₙ is the event (the amount of money that you win or lose, and pₙ is the probability for the event)
for example, in a 10 side dice, the probability of obtaining a specific number is 1/10.
we have a d10 i guess (a dice with 10 sides, 1 to 10)
if you roll from 1 to 7, nothing happens.
If you roll an 8, you lose $1500
if you roll a 9, you lose $75
if you roll a 10, you lose $2000 (and the game)
the expected value is,
Es = 1/10*(7*0 - 1*$1500 - 1*$75 - 1*$2000) = -$357
in the second case, you start paying $500.
if you roll a 7, you must pay $1000, if else, nothing happens.
Then the expected value is
Es = -$500 - 1/10*(-1*$1000 + 9*$0) = -$600
So the expected value is smaller in this case, so the deal is not fair
Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE
Answer:
<CAB and <DAE are vertical angles
<EAB and <CAD are vertical angles
Step-by-step explanation:
this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.
Options B and D are correct. The vertical angles are ∠CAD and ∠BAE AND ∠EAB and ∠CAD.
Vertical angles are angles that are opposite to each other in line geometry. The size of the angles must be the same.
According to the diagram shown, we can see that ∠CAD and ∠BAE are opposite to each other with similar measures.
This means that both angles are vertically opposite. he same is applicable to ∠EAB and ∠CAD.Hence the vertical angles are ∠CAD and ∠BAE AND ∠EAB and ∠CAD.
Learn more here: https://brainly.com/question/13458452
You just got a free ticket for a boat ride, and you can bring along 333 friends! Unfortunately, you have 666 friends who want to come along.
Match the vocabulary word to its correct definition. 1. abscissa the variable representing the first elements of the ordered pairs in a function; the inputs 2. dependent variable the second number (or y value) of an ordered pair 3. independent variable the variable representing the second elements of the ordered pairs in a function; the outputs 4. ordinate the first number (or x value) of an ordered pair
Answer:
1. Independent variable
2. Ordinate
3. Dependent variable
4. Abscissa
Step-by-step explanation:
1. The variable representing the first elements of the ordered pairs in a function; the inputs: this is the independent variable or the predictor variables.
2. The second number (or y value) of an ordered pair: Ordinate, also known as the y coordinate
3. the variable representing the second elements of the ordered pairs in a function; the outputs: the dependent variable also known as the response variables or the outcome variables.
4. The first number (or x value) of an ordered pair: abscissa, also called the x coordinate
Answer:
1. the first number (or x-value) of an ordered pair
4
ordinate
2. the variable representing the second elements of the ordered pairs in a function; the outputs
3
independent variable
3. the variable representing the first elements of the ordered pairs in a function; the inputs
2
dependent variable
4. the second number (or y-value) of an ordered pair
1
abscissa
Step-by-step explanation:
i need help with finding x.
Answer:
Step-by-step explanation:
x+100+x = 180 (angles in a straight line)
2x=180-100
2x = 80
x =80/2
x = 40
please mark me as the brainliest
hope it helps you.
Sonia is hanging up decorations in the ratio of 3red: 2green: 4white . If she hangs up 135 decorations in total , how many of each colour does she hang up
Answer:
She hung 45reds, 30greens and 60whites
Step-by-step explanation:
If Sonia is hanging up decorations in the ratio of 3red: 2green: 4white, the total amount of different she hung is 3+2+4 = 9different colours.
Of she hung 135decorations in total, the number of red = 3/9 × 135 = 45reds
Number of green = 2/9 × 135 = 30greens
Numbe of white = 4/9 × 135= 60whites
She hung 45reds, 30greens and 60whites
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Hi!
The negative signs cancel out iin the equation to make a positive 7.
The 4 is already positive.
So that makes it 4 + 7!
Or 7 +4!
Answer choice A.
Hope this helps!
Can someone please help me with my homework:(
Answer:
118.3
Step-by-step explanation:
The formula for the area is a triangle is base*height/2
Area = 18.2*13/2 = 118.3
Answer:
118.3
1/2b×h
1/2(13)x18.2
6.5×18.2
118.3m^2
Hannah is putting border on the
walls of her bedroom. Her room
is 14 feet long and 10 feet wide.
She bought 50 feet of border.
Will she have enough for
each wall?
How do you know?
Answer:
yes she will
Step-by-step explanation:
just find the perimeter
14+14+10+10 or (14*2)+(10*2)
the add and you get 48 feet
48<50
Hope this helps
What is the answer to this a school has 764 students. Of the students 118 are in third grade. Which equation can be used to find s, the total number of students in all the other grades.
Answer:
764-118=s
Step-by-step explanation:
The school has 764 students. Taking away the third graders will let you know how many are left in the other grades. Please marl brainliest.
Oh, and assuming you want the total number in each grade, 1-6? its (764-118)%5=s
Answer:
118+s=764 is the correct answer.
plz help!
solve for t
Answer:
t can equal 7 or -7
Step-by-step explanation:
Answer:
t=7 or t=-7
Step-by-step explanation:
To solve for t, we need to get t alone. To do this, perform the opposite of what is being done to the equation. Keep in mind, everything must be performed to both sides.
t^2=49
t is being squared. The opposite of squared is the square root. Take the square root of both sides.
√t^2=√49
t=√49
t=±7
So, t is equal to 7 or -7
pls help i need to pass this class lol
Which equation matches the graph?
A. y - 2= 3(× -2)
B. y - 2= 3(×+2)
C. y + 2= -3(×+2)
D. y - 2= -3(x-2)
Can someone help me with B?
Answer:
8
Step-by-step explanation:
12/15 = x/10
cross multiply and you get 120 = 15x
divide both sides by 15, x=8
PLEASE HELP ASAP !!What value of g makes the equation true ? (X+7)(x-4)=x^2+ge-28
Answer:
g=3
Step-by-step explanation:
(x+7)(x-4)=x(x-4)+7(x-4)=x²-4x+7x-28=x²+3x-28
it should be gx ,then g=3
if ge then ge=3x
Answer:g=3x
Step-by-step explanation:
I wrote this in the comments to but now it’s allowing its allowing me to answer so here: simplify the left side by distributing the values and it turns out to be x^2+3x-28 and the right side stays the same. We write this as x^2+3x-28=x^2+g-28. We then simply by the addition property of equality by adding 28 to both sides. We are left with x^2+3x=x^2+g. We then subtract x^2 from both sides ending up with g=3x.
What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?
Answer:
y=2x+1
Step-by-step explanation:
PLEASE HELP! I WILL MARK BRAINLIEST IF U ANSWER WITHIN THE NEXT 2 MINS!
Answer:
-1\4 is the correct answer
Which Function has the graph shown
A. y = cotx
B. y = - tan x
C. y = cos x
D. y = CSC X
Answer:
B.
Step-by-step explanation:
The graph of tan is the one that looks like a repeated asymptote of x³. Simply flip it across the x-axis (multiply by -1) and it should look like what is shown in the graph.
3x^2-6×=0 solve for x factor if necessary
Answer:
x =0 x=2
Step-by-step explanation:
3x^2 -6x = 0
Factor out a 3x
3x(x -2)=0
Using the zero product property
3x = 0 x-2 =0
x =0 x=2
which graph shows a reflection across the y-axis?
Answer:
A.
Step-by-step explanation:
graph a shows reflection across the y axis
Answer:
the correct answer is B
Step-by-step explanation:
the image for A is incorrect because that would be reflecting across the x-axis
the image for B is correct because it is literally going across the y-axis (ik it sounds very simple but it's true)
the image for C is incorrect because it doesn't even go across the y-axis or x-axis, it's only in the third quadrant
HOPE THIS HELPS!! :D
A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints. Which point is located on ray PQ? point M point N point O point R
Answer:
Point R
Step-by-step explanation:
did test and Quizlet
Answer:
The answer is point R
Step-by-step explanation:
The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below shows the relationship between f(x) and x: f(x) = 10(1.3)x Which of the following graphs best represents the function? (1 point) Graph of f of x equals 1.3 to the power of x Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity Graph of f of x equals 1.3 multiplied by 10 to the power of x Graph of f of x equals 10 multiplied by 1.3 to the power of x
Answer:
f(x)=3/10x ?
Step-by-step explanation: Guess
What is the surface area of the rectangular prism below?
7 12 14
Answer:
A=700
Explaination:
A=2(wl+hl+hw)=2·(12·7+14·7+14·12)=700
If f(x)=2x^2+5 √(x-2)
What does f(3)=?
