Answer:
a = 5.5
Step-by-step explanation:
Let the expression be written as;
Given 1/2 = a/11, find a
Cross multiply
1×11 = 2×a
11 = 2a
a = 11/2
a = 5.5
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
Which of the following shows the solution and graph to the inequality
2x + 1 ≤ 15?
Answer:
C or D
Step-by-step explanation:
I'm taking this same thing, not sure if it's c or d. The thing that I'm puzzled about is what the difference between the white dot and the black dot is.
Option D shows the solid dot along with [tex]x\leq 7[/tex] so our answer is
Option D.
The given inequality is 2x + 1 [tex]\leq[/tex] 15.
We have to see which of the given option shows the solution and graph to this inequality.
What are a solid dot and an open dot?A solid dot indicated on a number line graph shows that the given number is also a possible solution, whereas an open dot indicates that the given number cannot be a solution.
We see that in the given inequality, 2x + 1 must be less than or equal to 15.
And the maximum value we can take is 7 because,
2(7) + 1
14 + 1
15
So we can take 7 and any values less than 7 i.e [tex]x\leq 7[/tex] to satisfy the inequality 2x + 1 [tex]\leq[/tex] 15.
We see that Option D gives us [tex]x\leq 7[/tex] along with the solid dot.
Hence Option D is our answer.
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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°.
How far Sam is away from the donut shop in the following graph given below
Answer:
WHAT GRALPH
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
The point that sam is at and the point the donut shop is at is only 2 points away from eachother, the answer is 2
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
2A + 0.75S = 1,109; A + S = 937
Now use the equations to find the number of
students and adults.
Students = [?]; Adults = []
Answer:
612 students and 325 adults
Step-by-step explanation:
I'll use substitution for this set of equations. I'll start with 2a + 0.75s = 1,109.
2a + 0.75s = 1,109
Subtract 0.75s from both sides.
2a = -0.75s + 1109
Divide both sides by 2.
a = 1/2(-3/4s + 1109)
Make 1/2(-3/4s + 1109) into a single fraction
a = -3/8s + 1109/2
Substitute -3/8s + 1109/2 for a in the other equation (a + s = 937).
-3/8s + 1109/2 + s = 937
Add -3/8s to s.
5/8s + 1109/2 = 937
Subtract 1109/2 from both sides.
5/8s = 765/2
Multiply both sides by 8/5, the reciprocal of 5/8.
s = 612
Now head back to the original equation, and substitute s for 612.
a = -3/8 * 612 + 1109/2
Multiply -3/8 by 612.
a = (-459 + 1109)/2
Add 1109 to -459 and divide by 2.
a = 650/2
a = 325
The system is solved. There are 612 students and 325 adults.
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.
An electronics company finds that 5 out of 1,535 capacitors produced are damaged. How many damaged items can they expect if the company produces 23,025 capacitors?
Answer:
the damaged items expected in the case when the 23,025 capacitors produced is 75
Step-by-step explanation:
The computation of the damaged items expected in the case when the 23,025 capacitors produced is shown below:
= (5 × 23,025 capacitors) ÷ (1,535 capacitors)
= 75
Hence, the damaged items expected in the case when the 23,025 capacitors produced is 75
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,
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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.
How much honey does a beekeeper take from the hive
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!
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:
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
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
please help, would be greatful :)
Answer:
x ≈ 22.0°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle θ = x°
Opposite Leg = 3
Hypotenuse = 8
Step 2: Find x°
Substitute [Sine]: sinx° = 3/8Inverse trig: x° = sin⁻¹(3/8)Evaluate: x = 22.0243°Round: x ≈ 22.0°Find the volume. Round to nearest hundredth
Answer:
2pir^2 + 2pirh
2(pi)(3.2)^2+2pi(3.2)(8)
=225.19
=225.2
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
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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A 24 foot long bleacher stand has a
base angle of 30°. How high above the ground
is the last row of seating?
Simplify: 6.25(2x + 4y) - (4x + 9)
Answer: 8.5x+25y−9
Step-by-step explanation:
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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Pls answer B. C. and D.
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
What is the value of the expression when a= -5 and c = -4
Answer:
I need Help on this one too.
Step-by-step explanation:
Simplify xz^3 x 4x^4z^5
Answer:
4x⁵z⁸
Step-by-step explanation:
xz³ₓ4x⁴z⁵ =
= 4x¹⁺⁴z³⁺⁵
= 4x⁵z⁸
Find the value of x if 7,21,x and 35 are in proportion
Which expressions are equivalent to 3p+15
Answer:
Left most and the one u selected
Step-by-step explanation:
7p-4p+15 = 3p+15
3(p+5) = 3p + 3 * 5 = 3p + 15
2p-p+15 = p+15
3(p+15) = 3p+45
if correct, pls mark 5 star, thanks, and brainliest!
1 and 2.
7p - 4p + 15
3p + 15
3 (p + 5)
(3 • p) + (3 • 5)
3p + 15
I hope this helps let me know if you need any more help :)
Please help ASAP. this isn't a quiz
Answer:
people fall in love in a serois way.
Step-by-step explanation:
In a unit circle, ø=180°. What is the terminal point?
A. (1,0)
B. (0,-1)
C. (0,1)
D. (-1,0)
