The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
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4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
rate range
Of the following sets which are equivalent to the set S = {an even number less than 10 } is
A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}
Answer:
A, 2
Step-by-step explanation:
We can immediately rule out B and C; they are odd numbers while S is an even number.
We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.
A number that can fulfill the requirements for both A and S is 2
Is the equation y + 1 = 5(x + 3) in point-slope form? Justify your answer.
Answer:
The given equation is in point-slope form. The slope is 5 and is seen on the right side before the parentheses. The point is (-3, -1).
Hope this helps! :)
Answer:
Yes
Step-by-step explanation:
The equation y + 1 = 5(x + 3) is in point slope form. Point slope form is y - y1 = m(x - x1). In the given equation the point would be (-3, -1) with a slope of 5.
This question: 1p
Find the surface area of the prism.
Answer:
Step-by-step explanation:
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
Please help, thank you in advance
Answer:
Solution
9
1
3
6
Step-by-step explanation:
Help!
Algebraic Relationship
y= x/4-1
32, 7
0, - 1
20, 4
You just plug in the numbers and solve
What sentence represents this equation?
912=15−x
912 is the same as a number decreased by 15.
912 is the same as 15 decreased by a number.
15 decreased by 912 is the same as a number.
A number is the same as the difference of 15 and 912.
The sentence representing the equation is 912 is the same as 15 decreased by a number.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 912 = 15 − x
Here, 912 is equal to a number which is being subtracted from 15.
Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.
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You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.
Answer:
buuuuuuuuuuut butt
Step-by-step explanation:
Find the measure of angle x in the figure
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
now,
x + x + 110° = 180
2x = 180 - 110 = 70
x = 70/2 = 35
x = 35°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
8) What are the measures of angles x, y, and z?
Step-by-step explanation:
y=55°(corresponding angles are equal)
x=55°(alternate angles are equal).
z+55°=180°
=180-55=z
z=125°
Answer:
x = y = z = 55°
Step-by-step explanation:
x = 55° (vertical angles)
y = 55° (corresponding angles)
z = 55° (corresponding with x -> z = x)
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
someone help please
Answer:
6 is the Value of the Expression.
Step-by-step explanation:
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
Hopefully this helps.
Nadia charges $6.00 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.
Suppose Nadia raises her rate by $0.60 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Complete the explanation and give your answer.
Answer:
35 hours
Step-by-step explanation:
She would need to work for 35 hours.
She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.
Answer:
35 hours
Step-by-step explanation:
In the first month she worked for 38.5 hours
Multiply that by $6 and we that she made 231 dollars
231 divided by here new rate of $6.60 would be 35 hours
Please mark brainliest
Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.
Answer:
d
Step-by-step explanation:
Answer:
Hint #33 / 3
The equation is y=\dfrac{1}{2}x -2y=
2
1
x−2y, equals, start fraction, 1, divided by, 2, end fraction, x, minus, 2.
Step-by-step explanation:on kan
fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answer:
Missing reasons are:
2. Reflexive3. Given4. Given5. Definition of bisects6. Third angle theorem7. ASA#2
Reflexive sides#3
Already given in question#4
Given in the question#5
By bisector definition#6
Third angle therom#7
Angle-Side-AngleWhich slope is perpendicular to slope m= 5/6
Answer:
-6/5
Step-by-step explanation:
The slope of perpendicular lines multiply to -1
5/6 * p = -1
Multiply each side by 6/5
6/5 * 5/6 * p = -1 * 6/5
p = -6/5
The slope of the perpendicular line is -6/5
El siguiente cuerpo es CUARTA PARTE de un cilindro. ¿Cuál es el volumen? r = 6 cm; h = 9 cm
Answer:
es 54 espero que esto ayude adiós!
Step-by-step explanation:
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.
El volumen de un cilindro es:
Volumen = πr²h
Given that: r = 6 cm; h = 9 cm;
Volumen = πr²h = π(6)²(9) = 1018 cm³
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
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Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
The width of a rectangle is 3 inches less than its length. The perimeter is equal to 94 inches, what is the length in inches?
Answer:
l=44in
Step-by-step explanation:
Using the formula
P=2(l+w)
Solving forl
l=P
2﹣w=94
2﹣3=44in
39.2 is 95 percent of what?
write 65% as term fraction in its lowest a
Answer:
13/20
Step-by-step explanation:
65% = 65/100 = 13/20
Hoped this helped.
Answer:
13/20
Step-by-step explanation:
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
If a company had a gain of 800$ in March , but in April and May , it had a loss of $400 and 900$ respectively , how mich profit or loss did the company have in three months .
Please answer quickly ,.I will mark you as brainlist ... In Hurry Plz
Answer:
-500
Step-by-step explanation:
i knew the answer
have a great day ;)
Solve the system of equations by elimination:
3x+y=5
2x-2y=-2
NO LINKS PLEASE
Answer: (1, 2)
x = 1 and y = 2
Step-by-step explanation:
3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10
2x -2y = -2 => + 2x - 2y = -2
8x = 8
**divide both sides by 8 => x = 1
*** substitute 1 for x in either equation to get y
3(1) + y = 5
-3 -3
y = 2
Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1
Answer:
84Step-by-step explanation:
Average rate of change between x = 2 and x = 4 is:
[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]
[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]
[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]
[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]
Average change
[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]
[tex]\\ \sf\longmapsto 84[/tex]
find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100
Answer:
S=2+4+6+…+100
S=100+98+96+…+2
Adding the two yields
2S=102+102+102+…+102 = 50(102)
Thus S=50(51)=2550
PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE
Answer: [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
- t / u + vw (plug the number in)
= - 2 / (-2/3) + (-1)(-1/3)
= 2/ (2/3) + 1/3
= 2(3/2) + 1/3 (the 2 were being cancel)
= 3 + 1/3
= [tex]3\frac{1}{3}[/tex]
Answer:
A. 3 1/3Step-by-step explanation:
Given:
t = 2, u = -2/3, v = - 1, w = - 1/3Find:
- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3Correct choice is A
write down three integers below 25 with the range of 10 and the mean of 13
Answer:
8, 13, 18
Step-by-step explanation:
Middle number is 13, there are only 3
Max is 10/2 more so 18
Min is 18-10
Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?
Answer:
2:5
Step-by-step explanation:
2 cats per 5 dogs