Answer:
2, [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given parameters:
Coordinates = (5,1) and (-1,4)
Unknown:
The midpoint = ?
Solution:
To find the midpoint of these endpoints;
this can be mathematically expressed as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]
From the given coordinates;
x₁ = 5 y₁ = 1
x₂ = -1 y₂ = 4
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{5+(-1)}{2}[/tex] , [tex]\frac{1 + 4}{2}[/tex] = 2, [tex]\frac{5}{2}[/tex]
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
A market stall has 13 bags of apples, and 11 loose apples on display. In
total there are 141 apples at the stall. How many apples are in each bag?
Answer:
10 apples
Step-by-step explanation:
141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag
we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag
(?)^2-3(?)=-2 can anyone solve this
Answer: x = 1 or x = 2
Sub in x for ?:
x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)
x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)
x^2-x-2x+2 = 0 (Factor the expression)
x(x-1)-2(x-1) = 0 (Group like terms)
(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)
x-1 = 0
x = 1
x-2 = 0
x = 2
∴ x = 1 or x = 2.
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
15 points! Please I need some help this is due ...
Answer:
The answer above is correct
Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?
Answer:
10$
Step-by-step explanation:
A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is
Find a counterexample to show that the given conjecture is false:
The sum of two positive even integers is always an odd integer.
Answer:
20 + 16 = 36
Step-by-step explanation:
The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.
Pick A=20 and B=16, both are positive even integers.
The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.
Counterexample: 20 + 16 = 36
In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.
Other possible counterexamples are:
10 + 8, 700 + 40, 12 + 14, etc.
7/8 divided by (-13/7)
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?
Answer:1180,740
Step-by-step explanation:
2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.
400+300+40=740 this is the cost for only going there and not coming back.
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
show work
only do those
32,34,36,38,40
Answer: see below
Step-by-step explanation:
[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]
3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
-5x -5x
-2x - 36 > -120
+36 +36
-2x > -84
÷ -2 ↓ ÷ -2
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
-12y -12y
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
+AB +AB
12 > 2AB
÷2 ÷2
6 > AB
AB < 6
[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]
Check: let y = 16
then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.
1st shape has a 4 2nd shape has a 6 pls help-T T
I don’t know how to do this-
Answer:
2.5
Step-by-step explanation:
because you can tell by the numbers and how close they are then u have to divide
ft. = 4.8 yd.
How many feet is it
The items Pedro has selected at his local hardware store have a total cost of $130 before tax. If the sales tax is 8.25%, which is closest to the amount of sales tax Pedro can
expect to pay?
Answer: $10.7
Step-by-step explanation:
The following can be deduced from the question:
Total cost of items = $130
Percentage of Sales tax = 8.25%
Sales tax = Sales tax percent × Cost
Sales tax = 8.25% × $130
Sales tax = 8.25/100 × $130
= 0.0825 × $130
= $10.725
= $10.7
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?
Answer:
Mrs. Lowry is driving 0.8 mph.
Step-by-step explanation:
If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
Find the value of x
A-6
B- 4
C- 11
D- 5
Answer:
b.11
Step-by-step explanation:
3x+2+70=9x+6
put your like terms on one side:
9x-3x=70+2-6
6x=66
divide both sides by 6
x=11
What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
1.)47.022
2.)8.032
3.)2.436
4.)61.92
Step-by-step explanation:
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
What is the awnser??????? I need help!!!!!!
Answer:
upside down so i might be wrong but the ratio is 3/2
Step-by-step explanation:
3:2 milk to ice cream
other ratios would be
6:4 9:6 12:4 15:5
(the question is slightly confusing but I think this is what they are asking for. )
Solve the equation. Identify any extraneous solutions.
h = sqrt 3h
-3 is a solution of the original equation. 0 is an extraneous solution.
0 and 3 are solutions of the original equation.
3 is a solution of the original equation. 0 is an extraneous solution.
0 is a solution of the original equation. 3 is an extraneous solution.
Answer:
It's the second option:
0 and 3 are both solutions.
Step-by-step explanation:
h = √(3h) Square both sides:
h^2 = 3h
h^2 - 3h = 0
h(h - 3) = 0
h = 0, 3.
If we plug h = 0 into the original equation:
0 = √(3*0) = 0 so this is a root.
x = 3:
3 = √(3*3) = 3 so this is also a root.
Answer:0 and 3 are solutions of the original equation.
Step-by-step explanation:
Please help look at the screenshot
Answer:
Step-by-step explanation: 40 newtons to the right
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
Evaluate x/y when x=9/4 and y=3/5
Answer:
[tex]\displaystyle x/y=\frac{15}{4}[/tex]
Step-by-step explanation:
Division of fractions
To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]
We will evaluate x/y when x=9/4 and y=3/5:
[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]
[tex]\displaystyle=\frac{45}{12}[/tex]
Simplifying:
[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]
Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?
Answer:
30% on Monday 46% on Tuesday
Step-by-step explanation:
Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't half because half of 13 is 6.5