Answer:
2
Step-by-step explanation:
Given
1 [tex]\frac{2}{3}[/tex] × 1 [tex]\frac{1}{5}[/tex] ← change mixed numbers to improper fractions
= [tex]\frac{5}{3}[/tex] × [tex]\frac{6}{5}[/tex] ( cancel the 5's and cancel 3 and 6 by 3 )
= 1 × [tex]\frac{2}{1}[/tex]
= 2
Solve for r.
7(r + 1) = 20.3
Answer:
r = 1.9
Step-by-step explanation:
7r + 7 = 20.3
- 7 - 7
7r = 13.3
divide by 7
r = 1.9
Answer:
r = 1.9
Step-by-step explanation:
7(r + 1) = 20.3
Multiply the parenthesis by 7:
7r + 7 = 20.3
Subtract 7 from each side:
7r = 13.3
Divide 13.3 by 7 to find r:
r = 1.9
Pls answer B. C. and D.
Danny charges $48 for 4 hours of swimming lessons, Martin charges $28 for 2 hours of swimming lessons. Who offers a better deal?
Answer:
Danny.
Explanation:
$48=4hrs
1hrs= $12
$28=2hrs
1 hrs = $14
therefore, danny offers a better deal.
Solve the system by substitution.
y=X - 8
y = 2x – 14.
Hey there!
The answer to your question is (6, -2)
To solve for substitution, we simply make the right side of the equations equal to each other:
[tex]x-8=2x-14[/tex]
Add [tex]14[/tex] to both sides:
[tex]x + 6 = 2x[/tex]
Subtract [tex]x[/tex] from both sides
[tex]6=x[/tex]
Now, we have to solve for [tex]y[/tex], and we can do so by plugging in the value of [tex]x[/tex] in to one of the equations:
[tex]y = 6 - 8[/tex]
[tex]y = -2[/tex]
Therefore, your solution is (6, -2)
Have a terrificly amazing day!
Please help me with this question
Answer:
1/9
Step-by-step explanation:
6 feet = 6*12 = 72
Scale factor = 8/ 72 = 1/9
Answer:
1/9
Step-by-step explanation:
6ft = 72 inches
8/72 = 1/9
the points (80,20) and (120,30) form a proportional relationship. What is the slope of the line that passes though these points? BRAINLIST IF RIGHT!!!!!
Answer:
1/4
Step-by-step explanation:
gradient formula= Δy/Δx
80-120/20-30=1/4
Find the mzV.
y
(3x - 11)
(x - 8)°
U
(x +8°W
\(2x +70°
Z
7
Y
Answer:
c) 193
Step-by-step explanation:
Sum of all the angles of the pentagon = 540
2x + 7 + x + x + 8 + 3x - 11 + x - 8 = 540
2x +x + x + 3x + x + 7 + 8 - 11 - 8 = 540
8x - 4 = 540
8x = 540 + 4
8x = 544
x = 544/8
x = 68°
∠V = 3x - 11
= 3*68 - 11
= 204 - 11
= 193°
Answer:
y----d=b
Step-by-step explanation:
Simplify xz^3 x 4x^4z^5
Answer:
4x⁵z⁸
Step-by-step explanation:
xz³ₓ4x⁴z⁵ =
= 4x¹⁺⁴z³⁺⁵
= 4x⁵z⁸
A 24 foot long bleacher stand has a
base angle of 30°. How high above the ground
is the last row of seating?
A jar contains 15 red marbles, 10 green marbles, and 11 blue marbles. What is the probability that a marble chosen at random from the jar will NOT be green?
Answer:
Quantity A is greater.
Step-by-step explanation:
Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.
In a unit circle, ø=180°. What is the terminal point?
A. (1,0)
B. (0,-1)
C. (0,1)
D. (-1,0)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin.
Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.
A(x) = -2x2 + 36x
A(x)= -2(x – 9)2 + ___
What is the missing value in the work shown?
A.
162
B.
-81
C.
-162
D.
81
Answer:162
Step-by-step explanation:
The missing value is 162,
Option A is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To complete the square for the function.
A(x) = -2x² + 36x,
We need to first factor out the coefficient of x², which is -2:
So,
A(x) = -2(x² - 18x)
Next,
We need to add and subtract a term that will allow us to factor the expression inside the parentheses into a perfect square.
To do this,
We need to take half of the coefficient of x, which is -18/2 = -9, square it, and then add and subtract the result.
So,
A(x) = -2(x² - 18x + 81 - 81)
Now,
We can rewrite the expression inside the parentheses as a perfect square.
A(x) = -2((x - 9)² - 81)
Finally, we can distribute the -2 and simplify.
A(x) = -2(x - 9)² + 162
So,
The missing value is 162,
Thus,
The missing value is 162,
Learn more about rectangles here:
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Find the volume. Round to nearest hundredth
Answer:
2pir^2 + 2pirh
2(pi)(3.2)^2+2pi(3.2)(8)
=225.19
=225.2
If you apply the changes below to the absolute value parent function, f(x) = |x|
what is the equation of the new function?
• Shift 8 units left,
• Shift 3 units down,
O A. g(x) =|x- 8|- 3
B. g(x) = |x - 3|- 8
OC. gx) =|x-3|+ 8
D. g(x) = |x+ 8|-3
Answer:
its d because inside the abs value thing ur gonn take that +8 and do the opposite of what it says so negative 8 to the left then ur just gonna go down negative 3
Suppose your friend's parents invest $ 10,000 in an account paying 7% compounded annually. What will the balance be after 8 years?
- this is a simple interest question, so you should know the formula for this.
simple interest: i = prt
i - interest
p - principle amount (deposit)
r - rate
t - time in years
the problem: -- this is a two step question, since its asking for the balance.
i = prt
i = 10,000(0.07)(8)
i = 5600
- remember this is just the interest, NOT the balance.
to find the balance:
5600 + 10000 = 15600
FINAL ANSWER:
$15,600
-- let me know if you have any questions regarding this.
How much honey does a beekeeper take from the hive
Find the value of x if 7,21,x and 35 are in proportion
Triangle RST is translated 6 units to the left and 4 units up to create triangle R’S’T’
Which rule best describes this transformation?
A) (x,y) —> (6x, -4y)
B) (x,y) —> (-6x, 4y)
C) (x,y) —> (x + 6, y - 4)
D) (x,y) —> (x - 6, y + 4)
Answer:
B (x,y) —> (-6x,4y)
Step-by-step explanation:
6 is moving left which is negative
4 is moving up which is positive
Four fifths of the children in a school are boys. Five eighths of the girls in the school are right-handed. What fraction of the children in the school are left-handed girls?
Answer:
See below
Step-by-step explanation:
Let x rep right handed
Then,
5/8× x
= 5x/8
Since 4/5 are boys
1 - 4/5
1/4
Then,
5x/8 = 1/4
20x = 8
x = 8/20
x = 2/5
Therefore, the fraction of the girls in the school that are left handed is 2/5
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
plssss helpppp
Answer:
5/10
Step-by-step explanation:
if you add all the non- chocolate chip cookies than you have 10 other cookies.
since there are 5 chocolate chip cookies than the probability would be
5/10 or 1/2
The probability of picking a chocolate chip cookie is 1/3.
Given that, a box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here,
Total number of outcomes =15
Number of favorable outcomes = 5
Probability of an event = 5/15
= 1/3
Therefore, the probability of picking a chocolate chip cookie is 1/3.
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Write the first five terms of the arithmetic sequence. First term: -10 and common difference: 2
Answer:
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
Step-by-step explanation:
Explanation
Given that the first term is -10 and common difference d = 2
we know that the sequence in A.P
a ,a+d ,a+2d,a+3d ,a+4d........... are in AP
-10, -10+2, -10+2(2), -10+3(2) , -10+4(2)..................
-10 , -8 , -6 , -4 ,-2 ..........
Final answer:-
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
Simplify: 6.25(2x + 4y) - (4x + 9)
Answer: 8.5x+25y−9
Step-by-step explanation:
To stay healthy kevins doctor said he should try to consume at most 2000 calories a day write an inequality to show the amount of calories Kevin should consume
Answer:
C ≤ 2,000 calories
Step-by-step explanation:
Here, we want to write an inequality
Let the number of amount of calories to be consumed be C
The term at most means that it cannot pass 2,000
Hence, it must be lesser than this
So the inequality will be;
C ≤ 2,000 calories
Please help ASAP. this isn't a quiz
Answer:
people fall in love in a serois way.
Step-by-step explanation:
WILL MAKE AS A BRAINILIST
A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies.A coin is chosen at random,not replaced, then another is chosen. Find each probability.
graph this please it’s been due
Answer:
Step-by-step explanation:
Here, we want to graph the given line
To do this, we need the x and y intercept
The general equation form
is ;
y = mx + b
where m is slope and b is the y-intercept
from the question, b is -2
The point at b is (0,-2)
To get the x-intercept, equate y to 0
0 = 3x - 2
3x = 2
x = 2/3
So the x-intercept is (2/3,0)
So to graph the line, we have to join the points;
(0,-2) and (2/3,0) with a straight line
Please check attachment for this
Find the measure of angle 1.
9514 1404 393
Answer:
(a) 84°
Step-by-step explanation:
If the upper side of angle 1 is extended so that it crosses the lower parallel, the angle it makes there corresponds to the one marked 51°, so is also 51°. That makes angle 1 the exterior angle of a triangle with remote interior angles of 51° and 33°. Angle 1 is the sum of those angles:
∠1 = 51° +33° = 84°
_____
Alternate solution
Draw a line through the vertex of angle 1 parallel to the other two parallel lines. The lower half of angle 1 is then an alternate interior angle to the one marked 33°, so is 33°. The upper half of angle 1 is a corresponding angle to the one marked 51°, so is 51°. That makes angle 1 be the sum of 33° and 51° angles, so 84°.
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
The area of the triangle will be 5/8 square feet.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle as shown in the image.
Now, the area of triangle will can be written as -
[A] = 1/2 x [b] x [h]
[A] = 1/2 x 5/3 x 3/4
[A] = 1/2 x 5/4
[A] = 5/8 square feet
Therefore, the area of the triangle will be 5/8 square feet.
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Midterm Part 1
A high school principal has to choose an academic
team of four people. She decided to choose them from
an AP Statistics class of 19 people.
How many ways can the principal form a team?
A) 5,232 B) 3,876 C) 4,253 D) 8,121 E) 7,821
Answer:
Step-by-step explanation: ok
HELP PLEASE LOTS OF POINTS!!
Answer:
Thus, f and g are inverse functions
Step-by-step explanation:
Inverse Functions
If two functions f(x) and g(x) are inverses, then it follows that:
[tex]f\circ g(x)=x[/tex]
Or:
[tex]g\circ f(x)=x[/tex]
We are given
[tex]\displaystyle f(x)=\frac{1}{4}x-6[/tex]
[tex]g(x)=4x+24[/tex]
Let's test if they are inverse functions:
[tex]f\circ g(x)=\frac{1}{4}(4x+24)-6[/tex]
Simplifying:
[tex]f\circ g(x)=x+6-6=x[/tex]
Now find:
[tex]\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24[/tex]
Operating:
[tex]\displaystyle g\circ f(x)=x-24+24=x[/tex]
Thus, f and g are inverse functions
