Answer:
y = 3/7x - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 3/7
Point (14, 0)
Step 2: Find y-intercept b
Substitute: 0 = 3/7(14) + bMultiply: 0 = 6 + bIsolate b: -6 = bRewrite: b = -6Step 3: Write linear equation
y = 3/7x - 6
There are 35 beverages on the table if the ratio of beverages is 3:2 coffee to tea how many cups of coffee are there in total
Answer:
21 cups of coffee
Step-by-step explanation:
So the coffee:tea is 3:2. We can put it as 3x+2x=35 as we know there are 35 drinks, do not know the exact number of coffee and tea, but know the ratio.
3x+2x=353x+2x=35 Combine like terms, 5x=35Divide by 5 to isolate variable, x=7Now, x=7. So coffee is 3(7)=21 and tea is 2(7)=14.
Does △ABC appear to be the same size and shape as △XYZ? Explain.
Right triangles A B C and X Y Z. A B C has shorter leg equal to 5 and hypotenuse equal to 13. Longer leg B C is horizontal. X Y Z has shorter leg equal to 5 and hypotenuse equal to 13. Hypotenuse X Y is horizontal.
A. Yes; △ABC maps onto △XYZ with a translation and a rotation.
B. Yes; △ABC maps onto △XYZ with a translation and a reflection.
C. Yes; △ABC maps onto △XYZ with a rotation and a reflection.
D. No; the triangles are different sizes.
Answer:
yes
Step-by-step explanation:
Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.
Given:
Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,
The triangles ABC and XYZ are similar by SAS similarity, as,
AC = XZ = 5,
AB = YZ = 13
∠ ACB = ∠ XZY
When you translate and then rotate triangle ABC, you will get triangle XYZ.
To know more about Triangles:
https://brainly.com/question/16886469
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Suppose the income tax rate is 5%. Determine the amount of money
remaining after paying income tax on $85,000?
Answer:
$80750
Step-by-step explanation:
85k is what you have. Tax rate is 5%
85000*5/100=tax income
which equals to 4250
the remaining money is only 85000-4250=80750
more help pls im so dumb
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. What does the solution to the system of equations represent in the context of the problem? Explain.
Answer: $225 = $15 a + $ 10 c
Step-by-step explanation:
price = $225
concert ticket for adults= $15
concert ticket for children = $10
System of equation to represent scenario
a is variable for adult
c is variable for children
Total price = $15 a + $ 10 c
$225 = $15 a + $ 10 c
A baseball is thrown in a parabolic arc. It's position above the ground at a given
point in time can be represented by the quadratic function
p(t) = {gt2 + vot + Po, where t > 0. g is -32 ft/sec/sec, vo is initial
velocity, and Po is its initial position above the ground. If the ball was thrown
straight up at 40 ft/sec when it was 5 ft above the ground, how high did it go?
(Type the number, do not include units in your answer)
Answer:
P(t) = 17.5 feet
Step-by-step explanation:
The position above the ground at a given point in time can be represented by the quadratic function as follows:
[tex]P(t)=gt^2 + vot + Po[/tex]
Where,
Po is the initial position above the ground
If the ball was thrown straight up at 40 ft/sec when it was 5 ft above the ground.
We need to find the height reached by the ball.
The equation will become :
[tex]P(t)=-32t^2 + 40t+ 5[/tex]
Firstly we find the time taken to reach its maximum height
Put, dP(t)/dt = 0
[tex]\dfrac{d(-32t^2+40t+5)}{dt}=0\\\\-64t+40=0\\\\t=0.625\ s[/tex]
Now put t = 0.625 in equation (1) as follows :
[tex]P(0.625)=-32(0.625)^2 + 40(0.625)+ 5\\\\=17.5\ \text{feet}[/tex]
So, it will go at a height of 17.5 feet.
if m<4=105 what is m<5
Answer:
m<5=131.25
Step-by-step explanation:
Divide 105 by 4.
Multiply 26.25 by 5.
Which of the following is the slope of the line passing through the points A(-6, 10) and B(-2, 7)
Answer:
[tex]m=\frac{-3}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define Points
A (-6, 10)
B (-2, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-10}{-2+6}[/tex]Subtract/Add: [tex]m=\frac{-3}{4}[/tex]And we have our final answer!
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
To find the slope of the line, we use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when we are given the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
When we plug the points A(-6,10) and B(-2,7) into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], we get the equation [tex]\frac{7-10}{-2-(-6)}[/tex].
[tex]\frac{7-10}{-2-(-6)}\\= \frac{-3}{4}[/tex]
Therefore, the slope of the line is [tex]-\frac{3}{4}[/tex].
I hope this helps!
Q16. Find the area of the shaded region (4 corners) with each side = 12 in.
1 3.14
12 in
Use
12 in
Answer:
D. 30.96 in²
Step-by-step explanation:
The area of the shaded region = area of the the square - area of the circle
= (s²) - (πr²)
s = 12 in
r = radius of circle = ½ of 12 in = 6 in
π = 3.14
Plug in the values into the equation
Area of the shaded region = (12²) - (3.14*6²)
= 144 - 113.04
= 30.96 in²
I really need help with this math problems
Answer:
what do you help with???
graphing it or....
Step-by-step explanation:
question is the picture
it’s triangles congruent please help me if ur a nice person
Answer: The answer is the first choice, <L = <P
Step-by-step explanation:
There are two triangles.
Triangle LMN
and
Triangle PQR
If both of these triangles are congruent then that must mean that:
<L = <P
<M = <Q
<N - <R
Hope this helps!!
What's e=mc²? I need it for my math class
Answer:
E = mc^2. It's the world's most famous equation, but what does it really mean? "Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Step-by-step explanation:
E = energy
m = mass
c = the speed of light
Answer:
E represents units of energy, m represents units of mass, and c2 is the speed of light squared,
Step-by-step explanation:
So energy = mass times speed squared
Convert the following measurements. Round your answers to two decimal places.
a. 14,974 pounds to tons
b. 8,047 ounces to pounds
c. 64 ounces to pounds
d. .27 ton to pounds
p2 + m
key :
m = -2/3
p = -3
(the 2 is an exponent)
Answer:
the correct answer is 8 1/3
Which properties could you use to solve the following expression?
3 + 7 + 2 + 5 + 9
Answer:
Addition Property
Step-by-step explanation:
Have a great day
Aaron mowed 7 lawns in 4 hours. At that rate, how long will it take him to mow 21 lawns?
Answer:
12 hours
Step-by-step explanation:
So, 7 times 3 is 21. This means he have to multiply 4 by 3 to get 12.
please answer as fast as possible see the image below
Answer:
204.2 units
Step-by-step explanation:
Area of semicircle: 1/2(πr^2)
r = 5
1/2(π(5)^2)
94.2477796
Area of Rectangle: w * l
l = 11
w = 5(2)
11 * 5(2) = 11 * 10 = 110
Total:
110 + 94.2 = 204.2 units
Answer:
149.3Step-by-step explanation:
total area = rectangle + semicircle
= (11 x 10) + (1/2 x π 5²)
= 110 + 39.27
= 149.3
Consider the following IP problem:
Maximum Z= 5x1+x2
subject to
-x1+2x2 <=4
x1-x2 <=4
4x1+ x2 <=12
and
x1 >=0, x2>=0
x1, x2 are integers
a. Solve this problem graphically.
b. Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding the solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the IP problem?
Answer:
[tex](3,0)[/tex]
Step-by-step explanation:
The integer points which fall in the common region bounded by the lines are
[tex](0,2),(2,3),(3,0)[/tex]
Since, one of the points is [tex](2.22...,3.11....)[/tex] we round it to [tex](2,3)[/tex]
If we round up then the point will be [tex](3,4)[/tex] which does not fall in the bounded region.
Also [tex]x_1\geq 0[/tex] and [tex]x_2\geq 0[/tex] no negative values are considered.
Applying in the values in the LP problem [tex]Z=5x_1+x_2[/tex]
[tex]Z=5\times 0+2\\\Rightarrow Z=2[/tex]
[tex]Z=5\times 2+3\\\Rightarrow Z=13[/tex]
[tex]Z=5\times 3+0\\\Rightarrow Z=15[/tex]
So, the LP problem is maximum at point [tex](3,0)[/tex].
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
$14.4
Step-by-step explanation:
I don't quite understand this question, but this is what I think
A survey was conducted in a class with 20 students about their favorite sport. Five students chose basketball, 8 students chose football, and 7 chose soccer. Based on this information, predict how many would NOT choose soccer if there were 460 students in the survey. 150 30b 230 • 160
Answer: 299
Step-by-step explanation:
Out of 20 students, 5 students chose basketball, 8 students chose football, and 7 chose soccer.
Students chose basketball and football=5+8=13
Fraction of students not chose soccer = [tex]\dfrac{13}{20}[/tex]
Assume that the fraction remains the same.
If there were 460 students, then the number of students not chose soccer [tex]=460\times\dfrac{13}{20}\\\\=299[/tex]
Hence, the number of students not chose soccer =299
help!!! please I will mark you as brainliest
Answer:
66 is it
Step-by-step explanation:
easy just say 66
what is the value of x in x/2 =10
Answer:
x=20
Step-by-step explanation:
multiply both sides of the equation by 2
x=20
Answer:
20
Step-by-step explanation:
20 divided by 2 is equal to 10
Just multiply 2 by 10 to get the answer
Question: 1/10 what is the equivalent percent and decimal?
Answer:
Decimal: 0.1
Percent: 10%
Step-by-step explanation:
Answer:
0.1 as decimal or 10% as percentage
5/12 divided by 2 pls help asap
Answer:
I am pretty sure it's 0.2
Answer:
5/24
Step-by-step explanation:
To find 5/12 divided by 2, we do keep change and flip
Therefore we keep 5/12 change the division sign and flip the 2
We will get
5/12 * 1/2, this would give us 5/24
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answer:
you can eat candy for 25 days
Step-by-step explanation:
help and get brainiest
C
the coins worth should be times the number of coins (dimes/quarters)
Jason walked 70 miles in 8 days. Find the unit rate
It costs a baker $13 to make a small cake. He sells 7 small cakes for $280.How much more is the selling price of each cake than the cost?
Answer:
$27 more
Step-by-step explanation:
280 ÷ 7 = 40
40 - 13 = 27
Answer:
$189 baker cakes will be sold
7/16 x -4/3 please help me out!
Answer:
-7/12
Step-by-step explanation:
7/16 ×-4/3
7×-4=-28
16×3=48
-28÷48÷ -0.58333333 or -7/12
Happy to help
These are your mathematical forms of simplifying: 7/16 x -4/3
-7/12 and -0.583 (repeated 3).
PLS HELP NOW !!!!!!!!!!!!!!!!!!!!!!!!! sorry please help asap
Answer:
B
Step-by-step explanation:
A and C would not be it, since it is taking away.
and by this it leave us with B and D. Since D does not look so great , it B