Answer:
1.5 hours; 75 miles50 miles50 miles per hour; 50 miles per hourless/decreased/reduced/smallerStep-by-step explanation:
The labels on the axes of the graph tell you the meaning of the coordinates of a point on the graph. The ordered pair lists the horizontal coordinate first. The horizontal axis is labeled hours, and the vertical axis is labeled miles.
The point (hours, miles) = (1.5, 75) means Kurt drove 75 miles in 1.5 hours.
__
You can find the miles driven in 1 hour by reading the graph at the horizontal coordinate 1 hour. You find that is 50 miles. The 1 represents 1 unit, so the "unit rate" is 50 miles in 1 hour. Such a rate is also called a "speed" of 50 miles per hour.
If Kurt had driven fewer miles in an hour, the points on the graph would all have smaller vertical coordinates. The unit rate (slope) would be less than 50 miles per hour.
Brandon paid $70 for 20 gallons of
gasoline. How much did he pay per
gallon?
Answer:
$3.50
Step-by-step explanation:
For this question, you just take the price paid and divide it by the number of gallons. In this case, you get $3.50 per gallon.
A path of 0.5 meter wide runs round within a square garden of side 15 m.Find it's perimeter ?
Answer:
:))
Step-by-step explanation:
Find the missing side. Round your answer to the nearest tenths.
X=
Answer:
16.5 ≈ x
Step-by-step explanation:
We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.
The tangent function definition is
tan α = opposite side/ adjacent side
In our problem
tan 70° = x/ 6, multiply both sides by 6 to isolate x
6 · tan 70° = x, use the calculator (make sure is set in degrees)
16.4848 ≈ x , round to the nearest tenths
16.5 ≈ x
Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Group of answer choices x − y = 1 2x + 2y = 4 2x + 2y = −2 2x + 2y = 2
The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.
How to know an equation with infinitely many solutions?If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.
Therefore, let's check for the equation with the same terms and constant with the equation :
x + y = -1
Hence, the most likely equation of line p is as follows:
2x + 2y = -2
divide both sides by 2
2x/ 2 + 2y / 2 = -2 / 2
x + y = - 1
The equation of the line will be 2x + 2y = -2
learn more on equation here: https://brainly.com/question/2263981
#SPJ1
Hey y’all! Can I please have some help??? :)
Answer:
Rhombi and Squares
Step-by-step explanation:
1) KY (pythagorean Thm) 5² + x² = 13² ...= 12
2) PK Diagonals bisected. also = 12
3) Diagonals of rhombi are perpendicular. <YKZ = 90
4) 67. Alternate interior angles are congruent.
5) 3. Diagonals are bisected and congruent for squares.
6) 45° . Angles are bisected by diagonals.
7) 90° . All angles of squares are right angles.
8) 6. Diagonals are bisected. So 3 is doubled to 6.
9) I need graph paper.. hol'up
Twelve people apply for a teaching position in mathematics at a local college. Six have a PhD and six have a master’s degree. If the department chairperson selects three applicants at random for an interview, find the probability that all three have a PhD
Using the hypergeometic distribution, it is found that there is a 0.0175 = 1.75% probability that all three have a PhD.
The applicants are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the values of the parameters are as follows: N = 20, k = 6, n = 3.
The probability that all three have a PhD is P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,20,3,6) = \frac{C_{6,3}C_{14,0}}{C_{20,3}} = 0.0175[/tex]
0.0175 = 1.75% probability that all three have a PhD.
More can be learned about the hypergeometic distribution at https://brainly.com/question/24826394
Drag the measurements to the containers to show equal length.
The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.
Hence:
15 yd = 15 yd * 36 in per yd = 540 in
195 ft = 195 ft * 12 in per ft = 2340 in
5280 yd = 5280 yd * 3 ft per yd = 15840 ft
The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft
Find out more on equation at: https://brainly.com/question/2972832
32 is what percent of 50?
64%
70%
1.5%
156%
Answer:
64% hope this helps
Step-by-step explanation:
I'm just smart
Answer:
The answer is 64%
Step-by-step explanation:
5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.
Solve the system by substitution.
y= 4x + 22
y= -7x
(__,__)
Answer:
y=14, and x=-2(-2,14)Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
y=4x+22 and y=-7x
y=-7x=4x+22
Solve.
-7x=4x+22
x=2
Substitute.
y=-7x, x=-2
y=-7(-2)
Solve.
Multiply.
y=14
(-2,14)
Therefore, the final answer is (-2,14).
I hope this helps you! Let me know if my answer is wrong or not.
wich expression shows a way to factor 15+18
What value completes this expression?
4m + ____m = 4m (1 + 6)
Answer:
24
Step-by-step explanation:
4(1)m + 4(6)m
= 4m + 24m
PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!
Answer:
c. It is a reflection around the x-axis and a reflection around the y-axis
Step-by-step explanation:
Which statement about the asymptotes is true with respect to the graph of this function f(x)= 3x^2-3/x^2-4
Answer:
D. The graph has two vertical asymptotes and one horizontal asymptote.
Step-by-step explanation:
Find the area of the rectangle.
l=10 in, w=7.5 in
Answer:
It should be 75 inches
Step-by-step explanation:
Graph the image of the figure using the transformation given
Answer:
See the explanation
Step-by-step explanation:
Please see the photo
how many solutions are there to the system of equations graphed below if the lines are parallel
Answer:
your answer would be zero
Step-by-step explanation:
Parllel lines never crosses or intercept, which means they have 0 solutions
If 75% of a number is 255 and 20% of the same number is 68, find 95% of that
number
Answer:
323
Step-by-step explanation:
.75 x = 255
x = 255 / .75 = 340
340 * .95 = 323
Answer:
[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]
Step-by-step explanation:
Let the number be taken as 'x'.
Given,
[tex]75[/tex]% of x = [tex]255[/tex] [tex]20[/tex]% of x = [tex]68[/tex][tex]95[/tex]% of x = [tex]\boxed{?}[/tex]Then,
1) [tex]75[/tex]% of x = [tex]255[/tex]
[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]
2) [tex]20[/tex]% of x = [tex]68[/tex]
[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]
We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .
Now,
3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Plss help i need this asap
(will give brainliest)
(this is not from a test)
Answer:
90
Step-by-step explanation:
im not sure but im pretty sure it would be 90 dont come at me if it not:(
Answer:
360°/3=120°
which is the size of each exterior angle.
Step-by-step explanation:
An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.
360°/3=120° which is the size of each exterior angle.
The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.
IN the same way, a square will rotate through 360/4=90°
A pentagon will rotate through 360/5=72°
for the figure to map onto itself.
A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14
Answer:
18.84 inches.
Step-by-step explanation:
Volume = 4/3 π r^3 = 113.04
r^3 = 113.04 / 4/3 * 3.14
r^3 = 27
r = 3 inches,
So the circumference = 2 * 3.14 * 3
= 18.84 inches.
There is a bag a filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and
then it iS not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
3/7Step-by-step explanation:
Given
Red = 4, Blue = 3Total number of marbles is
3 + 4 = 7Probability of getting 2 of the same color is
P(2 same) = P(red, red) + P(blue, blue)Probability of 2 reds is:
P(red, red) = 4/7*3/6 = 2/7Probability of 2 blues is:
P(blue, blue) = 3/7*2/6 = 1/7Required probability is
P(2 same) = 2/7 + 1/7 = 3/7Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit
Answer:
YES
Step-by-step explanation:
Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)
1+2 >2
2+2>1
pls help ill give brainliest and 5 starts
Answer:
For number 1: Plate boundaries.
For number 2: Geography.
For number 4: Plate.
For number 5: Plate tectonics
Hope this helps.
-Mark me brainliest & 5 star-
Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4
Prove: Line segment A D is parallel to line segment B C
A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4.
A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.
m∠1 = m∠4
m∠2 = m∠3
m∠1 + m∠4 = 180°
m∠2 + m∠3 = 180°
Answer: m∠1 + m∠4 = 180°
Step-by-step explanation:
If angles 1 and 4 are supplementary, their measures must add to 180 degrees.
separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √
The multiplicative inverse for √2-i = 1/(√2+1) and The multiplicative inverse is √2+1 = 1/(√2-1)
Real and Imaginary Numbers/Complex NumbersGiven Data
First expression = √2+iSecond expression = √2-iFor√2+i
the real part is is √2 and the imaginary part is i
The multiplicative inverse is √2+1 = 1/(√2-1)
rationalising the denominator we have
= 1/√2-1 * √2-1/√2-1
= √2-1/(√2-1)*(√2-1)
= √2-1/(2-√2-√2+1)
= √2-1/(-2√2+3)
For√2-i
the real part is is √2 and the imaginary part is -i
The multiplicative inverse is √2-1 = 1/(√2+1)
Rationalising the denominator we have
= 1/√2+1 * √2+1/√2+1
= √2+1/(√2+1)*(√2+1)
= √2+1/(2+√2+√2+1)
= √2+1/(2√2+3)
Learn more about complex Numbers here
https://brainly.com/question/10662770
Which shows the Identity Property?
A. 2 +7=7 +2
B. 4 + 0 = 4
C. 6+ (4 + 8) = (6 + 8) + 4
Answer:
B shows the Identity Property.
Step-by-step explanation:
x+0=x
20x20x2 please I really need to answer this question
Answer:
800
Step-by-step explanation:
20*20=400
400*2=800
ylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), and 'r' is the radius which is squared, and 'h' is the height.
Plug in your values:
V = π[tex]r^{2}[/tex]h
V = 3.14(9^2) x 4
V = 3.14(81) x 4
V = 254.34 x 4
V = 1,017.36^3 feet or 1,017.36 cubic feet.
Consider nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?
The probability of getting no kings is 0.7826
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
The random experiment follows a hypergeometric distribution with,
N = 52 since there are 52 cards in a deck.
k = 4 since there are 4 kings in a deck.
n = 3 since we randomly select 3 cards from the deck.
x = 0 since we want no kings.
The probability of getting no kings is;
[tex]\rm = \dfrac{^4C_0 \times ^{48}C_3}{^{52}C_3}\\\\=\dfrac{1 \times 17296}{22100}\\\\= 0.78[/tex]
Hence, the probability of getting no kings is0.7826.
To know more about probability click the link given below.
brainly.com/question/11234923
Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]
Which expression is equivalent to 8/6?
•/14
•/48
•/96
•/384
Answer:
./48
Step-by-step explanation: