Answer:
John has $23.5Step-by-step explanation:
Step one:
we are told that their joint amount is $62
let John's amount be x
and Pedro's amount be y
so that y=x+15
Step two:
The equation to represent the situation is
62=x+(x+15)
open the bracket and solve for x we have
62=x+x+15
62=2x+15
2x=62-15
2x=47
divide both sides by 2
x=47/2
x=23.5
John has $23.5
In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
The table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
where,
k = constant of proportionality
A. 'x' is 1 2 3. 'y' is -3,-6,-9
y = k × x
-3 = k × 1
- 3 = k
k = -3
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
y = k × x
-1 = k × 1
-1 = k
k = -1
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
y = k × x
-3 = k × 1
-3 = k
k = -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
-3 = k × 1
-3 = k
k = -3
or
y = k × x
-3/2 = k × 2
-3/ 2 = 2k
k = -3/2 ÷ 2
k = -3/2 × 1/2
k = -3
Therefore, the table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
Read more:
https://brainly.com/question/13441754
1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club members structure the committee? a. 12 b. 120 c. 720 d. 604,800
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
First answer the problem 3,216 divided by 8 and ur quotiont/answer u then will look at the answer and find the first diget and then answer what place is that didet in.
Answer:
Quotient/Answer = 402
Hence the first digit is 4 and it's place value = hundreds
Step-by-step explanation:
Quotient = Dividend ÷ Divisor
Dividend = 3216
Divisor = 8
Quotient = 3216 ÷ 8
= 402
We are asked to find the place value of the first digit
Hence the first digit is 4 and it's place value = hundreds
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to spend no more than $10.00. How many whole pounds of peaches can Albert buy if he wants to spend less than $10.00? 4 5 6 7
Answer: 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: hope this helps
Choose the graph which represents the solution to the inequality.
3 - 2x 2-17
Answer:
X ≥ 12, (Or A)
Step-by-step explanation:
First, you would do two step equation.
3-2x ≥ -17
+3 | +3
----------|------------------
-2x ≥ -14
Then you divide each side by -2
And you get, X≥12
Which, does not represent any of the graphs.
A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The length is the field is 5 yards less than quadruple the width. What are the dimensions of the plying field?
Answer:
L=203 yardsW=52 yardsStep-by-step explanation:
Step one:
given data
perimeter= 510 yards
let the width be x, width=x
length= (4x-5)-----quadruple mean 4 times
Step two:
the expression for perimeter is
P=2L+2W
510=2(4x-5)+2x
510=8x-10+2x
510+10=8x+2x
520=10x
divide both sides by 10
x=520/10
x=52
the width is 52 yards
the lenght is (4x-5)
L=4(52)-5
L=208-5
L=203 yards
The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Answer:
The answer is B,C, And D
Step-by-step explanation:
I just saw it on Khan and got it right.
interior and exterior of angles of triangles
please help !!
Answer:
x = 20
Step-by-step explanation:
Assuming you require the value of x
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
7x - 15 is an exterior angle of the triangle, thus
7x - 15 = x + 28 + 4x - 3 , that is
7x - 15 = 5x + 25 ( subtract 5x from both sides )
2x - 15 = 25 ( add 15 to both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games? One-fourth One-third Two-thirds Three-fourths
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Answer: 3/4
Step-by-step explanation:
find
Given
\qquad m \angle AOCm∠AOCm, angle, A, O, C is a straight angle.
\qquad m \angle BOC = 6x + 29^\circm∠BOC=6x+29
m, angle, B, O, C, equals, 6, x, plus, 29, degrees
\qquad m \angle AOB = 3x + 124^\circm∠AOB=3x+124
m, angle, A, O, B, equals, 3, x, plus, 124, degrees
Find m\angle BOCm∠BOCm,
angle, B, O, C:
Answer: 47 degrees
Step-by-step explanation:
The measure of an angle BOC from the given figure is 47°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given that, m∠AOC is a straight angle, m∠BOC=6x+29° and m∠AOB=3x+124°.
We know that, a straight angle measures 180°.
Now, m∠BOC+m∠AOB=m∠AOC
6x+29°+3x+124°=180°
9x+153°=180°
9x=27°
x=3°
So, m∠BOC=6x+29°
=6×3+29°
= 47°
Therefore, the measure of angle BOC is 47°.
To learn more about an angle visit:
https://brainly.com/question/28451077.
#SPJ2
Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?
Answer:
$6.18 per hour
Step-by-step explanation:
3% of 6 is 0.18You can get this number by multiplying 0.03 by 6
Add 0.18 to 6 and that gives Jack $6.18If the sum of the greatest and smallest of 4 consecutive even integers equals 30, what is the sum of all four integers?
Answer:
The sum of all four integers is 60.
Step-by-step explanation:
Let the integers be x, x + 2, x + 4, and x + 6.
x + x + 6 = 30
2x = 24
x = 12
So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60
Answer:
________________________
what is 6(5g + 2) = 30g
Answer:
g ∈ ∅
Step-by-step explanation:
Expand the expression
30 g + 12 = 30
Cancel out the 30g on both sides
12 = 0
Decide whether the statement is true or false
g ∈ ∅
In a survey of 31,000 people who owned a certain type of car, 2,015 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
6.5%
Step-by-step explanation:
2,015/31,000 = .065
help me with this please
Answer:
C is correct
Step-by-step explanation:
3+6=9
2 sides on a triangle must be greater than the other side
Your comment will be deleted along with your account BlueDragon123r5 You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.
Answer
I know how to solve it just don't know how to explain how you came up with the equation
Step-by-step explanation:
To solve 9y+7=2y+98 you add 9y+2y and you get 11y and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11 y= 9.54
The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6
Answer:
Its A
Step-by-step explanation:
Trust me
Answer:
a
Step-by-step explanation:
Bob went out to dinner and paid a 15% tip on a $20 meal? How much is the total bill?
Answer:
23
Step-by-step explanation:
15% of 20 = 3 then add the 3 to the 20 to get 23
23Answer:
Step-by-step explanation:
15/100*20 = 3
20+3 = 23
the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of the line what is the effect to the line
What is the value of a3 in the sequence?
5, 10, 20, 40, 80...
Answer to this please!
Answer:
the answer is 56
Step-by-step explanation:
Answer:
The measure to angle 2 is 44.
Step-by-step explanation:
The segment towards the bottom is a straight line meaning it should equal 180°. 180 - 68 = 112. A triangle should equal 180° as well... so you add 112 to 24, then subtract that value from 180: 180 - 136 = 44
pls help me yes you help
Answer:
C
Step-by-step explanation:
Answer:
C) A car can travel 80 miles on 2 gallons of gasoline.
Step-by-step explanation:
They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.
Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.
Simplified version of answer d: 40 miles/ 20 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Hope this helped you : )
Evan told his mom that he could make 14/ 12 of a cake and 5/ 6 of another cake into 2 whole cakes his mom said no way prove it explain why or why not
Answer:
The mother is wrong
Step-by-step explanation:
What we do here will be to add the fractions of the cakes that we have
Mathematically, that will be;
14/12 + 5/6 = 24/12 = 2
This means that the mother is wrong and the cakes can actually be made into 2
In Triangle DEF, f = 160 cm, d = 670 cm and ZE=114°. Find the length of e, to the nearest
centimeter.
Answer:
This is an obtuse scalene triangle with the length of E measuring around 749 cm.
<D = 54.754° ≈ 55°
<E = 114°
<F = 11.246° ≈ 11°
Side D = 670 cm
Side E = 749.46937 cm ≈ 749 cm
Side F = 160 cm
Explanation:
When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.
Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.
a / Sin (A) = b / Sin (B) = c / Sin (C)
[side 1]. [side 2]. [side 3].
↓ ↓ ↓
sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)
______________________________
670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).
Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.
It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc
B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac
and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab
capital A, B, and C are angles A, B, and C.
lowercase a, b, and c are sides a, b, and c.
Therefore c² = a² + b² − 2ab cos(C),
b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.
SOH CAH TOA.
Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.
Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749
Answer:749
Step-by-step explanation:
S.A.S law or Cosines
e=561704.33628= 749.469= 749
Mr Johnson has 4 boxes of pencils with 7 pencils
in each box. If he gives each of his 26 students a
pencil, how many pencils will he have left?
Answer:
2 pencils leftoverStep-by-step explanation:
Given:4 boxes with 7 pencils each
Number of students:26
Total Pencils4*7 = 28
He has 28 pencils in total.
Unknown:Number of extra pencils
Unknown = total pencils - total students= 28 - 26 = 2
Answer = 2 pencils leftoverHope this helped,
Kavitha Banarjee
what is the slope and equation of a line perpendicular to the y-axis passing through the point (-3,8)
a) slope is 0 and the equation is y= -3
b) slope is undefined and the equation is x=8
c) the slope is undefined the equation is x=-3
d) the slope is 0 the equation is y=8
Answer:
D
Step-by-step explanation:
I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.
A pair of shoes costs $30.99 and the state sales tax is 4%. Use the formula C = p + rp to
find the total cost of the shoes, where C is the total cost, pis the price, and r is the sales tax
rate.
$32.23
$39.19
$43.39
$34.99
Answer:
the answer is A. $32.23
Step-by-step explanation:
Answer:
$32.00
Step-by-step explanation:
To find the sales tax always multiply the sales tax to to the cost of you item.
Being your sales tax is 4% you will Multiply 30.99 x .04 (not just 4)
30.99 x .04 = 1.2396 ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax) Now add that to your cost of the shoes
$30.99 + $1.24 = $32,23
For future : if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .
Will mark Brainliest. Question above
1 Which expression is equivalent to (7x – 5) – (3x - 2)?
Answer:
The answer is D.
Step-by-step explanation:
The New England patriots scored 9 points in the first half. In the second half they scored 3 less than 2 times the points in the first half. What is the ratio of of the points and scored in the second half to the total number of points scored
Answer:
[tex]S : T = 5 : 8[/tex]
Step-by-step explanation:
Represent the first half with F and the second with S
We have that:
[tex]F = 9[/tex] --- From the first statement
[tex]S = 2F - 3[/tex] --- From the next statement
Required
Determine the ratio of S to the total point
First, we need to determine the value of S
Substitute 9 for F in [tex]S = 2F - 3[/tex]
[tex]S = 2 * 9 - 3[/tex]
[tex]S = 18 - 3[/tex]
[tex]S = 15[/tex]
Next, we determine the total points
[tex]Total = F + S[/tex]
[tex]Total = 9 + 15[/tex]
[tex]Total = 24[/tex]
The ratio of S to total is: (Represent total with T)
[tex]S : T = 15 : 24[/tex]
Divide both ration by 3
[tex]S : T = 15/3 : 24/3[/tex]
[tex]S : T = 5 : 8[/tex]
Hence, the ratio is 5 to 8