Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
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Solve the conjunctions below.
2 < x/3 - 5 < 6
3 < 2(x + 2) - 7 ≤ 13
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation:
pa help po
13.) given that " G " varies directly as " h " and g=64 when h=8 find the variation constant
can you plss answer no.# 13-15
wc in advance po
take note
nonsense answer= report
good answers will get brainlist and I'll follow you and I'll rate you
It would take 12 men 18 days to complete the job.
1) g ∝ h
g = kh; where k is the constant of variation.
g = 64, h = 8, hence:
64 = 8k
k = 8
g = 8h
2) j ∝ 1/h
j = k/h; where k is the constant of variation.
j = 190, h = 7, hence:
190 = k/7
k = 1330
j = 1330/h
When h = 70:
j = 1330/70
j = 19
3) y represent number of men and x represent the days
y ∝ 1/x
y = k/x
9 = k/24
k = 216
y = 216/x
For 18 days:
y = 216/18 = 12 men
Hence it would take 12 men 18 days to complete the job.
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y=6x+8 what is the y and x value. find y when x = -3 and find x when y = 2
Answer:
y= -13 x= -1
Step-by-step explanation:
y=6x+8
y=6(-3)+8
y= -21+8
y=-13
2=6x+8
-8=6x
-6=6x
x= -6/6= -1
Son características de interés que pueden medirse u observarse en los elementos de la población
a) Muestra
b) Frecuencia
c) Variable
d) Población
Give me some tips for the Shsat that is tomorrow.
Answer:
1. Sleep well
2. Eat a proper meal to increase your energy
3. Do the ones you are good at first. Skip the harder questions
4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.
5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.
6. Have faith in yourself. :)
Step-by-step explanation:
y=-6/5x +4
y-= -1/5x -1
Answer: (5,-2)
Step-by-step explanation:
I'm assuming the equations are:
Y=-(6/5)x +4
y = -(1/5)x -1 [Note that I changed "y-" to just "y."]
We can solve this in one of two ways: Mathematically and Graphically.
Math:
y = -(1/5)x -1
6y = -(6/5)x -6
-(Y=-(6/5)x +4)
5y = -10
y = -2
y = -(1/5)x -1
-2 = -(1/5)x -1
-1 = -(1/5)x
5 = x
x = 5
The solution is (5,-2)
Graph:
See the attached graph. The lines intersect at (5,-2)
(Fill in the blank)
If the triangle is equilateral, find the value of x.
(9x - 3)
x = _#
(numerical response only)
Answer:
x>1/3
Step-by-step explanation:
unless you are missing something else on the question.
equilateral means all sides are the same
so if one side is 9x-3 the other sides should also be 9x-3
9x-3=0
9x=3
x=1/3
Mark has 403 coins. He has 89 more than his sister. How many coins do they both have altogether
In parallelogram DEFG D=(5x-8) and E=(3x+28). How many degrees is F
In parallelogram DEFG, angle F measures 92°
A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.
In parallelogram DEFG:
∠D + ∠E = 180° (Consecutive angles are supplementary)
(5x - 8) + (3x + 28) = 180
8x + 20 = 180
8x = 160
x = 20°
∠D = 5x - 8 = 5(20) - 8 = 92°
∠D = ∠F = 92° (Opposite angles are congruent)
In parallelogram DEFG, angle F measures 92°
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The angle of F in degrees is 92°
Adjacent angles of a parallelogram are supplementary.
Therefore,
Therefore,
5x - 8 + 3x + 28 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160 / 8
x = 20
Angle F is an opposite angle to angle D. Therefore,
∠D = ∠F
5x - 8 = 5(20) - 8 = 100 - 8 = 92°
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You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year
Answer:
24 x 12 = 288 hours
Step-by-step explanation:
Given h(x) = -5x - 5, solve for x when h(x) =0
what is the answer??????
Answer:
C. 6.66Solution:
20/3 can be expressed as 20 ÷ 3
20 ÷ 3 = 6.66...
we would have a result of an endless quotient.
Examine the following table, which represents some points on a line.
x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?
y=−3x−2y is equal to negative 3 x minus 2, , ,
y=3x−2y is equal to 3 x minus 2, , ,
y=−13x−2y is equal to negative 1 third x minus 2, , ,
y=−13x−6y is equal to negative 1 third x minus 6, , ,
y=−3x−6
Answer:
(c) y = −1/3x −2
Step-by-step explanation:
We notice two things in the table.
y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept__
The slope of the line is ...
m = (change in y)/(change in x) = +1/-3 = -1/3
Then the slope-intercept equation is ...
y = mx +b . . . . . . slope m, y-intercept b
y = -1/3x -2
Answer is C
Step-by-step explanation:
math
HOW TO COUNT BY 5 AND 10 'S HOW TO COUNT BY 20 AND A WHAT IS 9-4 AND 5-7
PLEASE HELP The mean life expectancy of a certain type of light bulb is 860 hours with a standard deviation of 22 hours.
What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 65?
0.34 h
0.75 h
2.73 h
2.95 h
Answer: The correct answer is: 2.73 h.
Step-by-step explanation:
I hope this helps! :)
PLEASE HELP I DONT UNDSRSTANT
Answer:
B. 28.5
Step-by-step explanation:
Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...
A + B + C = 180°
C = 180° -A -B = 180° -32° -25° = 123°
The Law of Sines tells you ...
c/sin(C) = a/sin(A)
c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)
c ≈ 28.5
_____
Additional comment
The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.
This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.
Please help. I need to get this right.
Answer:
∡SYZ = 34.2°
∡XYZ = 68.4°
Step-by-step explanation:
∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS
∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ
there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies
Answer:
5 crayons to 15 school supplies
Step-by-step explanation:
since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
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23 students are making smiley faces from macaroni noodles. The teacher got a box of macaroni’s that has 276
noodles in it. She plans to split the box up evenly amongst the students. How many noodles will each student
have to make their smiley face?
Answer:
12 noodles
Step-by-step explanation:
If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:
276÷23=12
276 noodles divided by 23 children = 12 noodles per child.
Which of the following statements is NOT true?
it wont let me loo at it sorry but it seems easy.
A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?
Answer:1 inch = 2.54 centimeters so the answer is 3.76
Step-by-step explanation:
(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics
a purple paint mixture calls for 4 pints of blue paint for every 3 pints of red. how many pints of blue paint do you need,if you use 6 pints of red?
Answer:
You will need 8 pints of blue paint!
Step-by-step explanation:
At the first the problem shows us the purple paint mixture needs 4 pints of blue and 3 pints of red if the red has 6 pints which is doubled you should also double the blue paint! Hope this helps please mark the brainliest it means a lot to me and thanks! <3
Answer:
8 pints
Step-by-step explanation:
The purple paint mixture needs 4 pints of blue and 3 pints of red, and if the red paint has 6 pints that is doubled. You should also double the blue paint.
The explains how the answer is 8
now, this katie girl stop deleting my answer-
Choose which diagram shows the correct markings of the sides and angles of the following congruent triangles.
Answer:
D IS THE CORRECT ANSWERRR
Step-by-step explanation:
IN DIAGRAM D
G = Q
I = R
H = S
SO, THEY ARE SIMILAR
A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?
Answer: $ 37.50
Step-by-step explanation:
$50.00 x 25% = 12.50
$50.00 - $12.50 = $37.50
(ASAP) i also need help with this plss
Answer:
The right answer is 32
Step-by-step explanation:
3/4 × 32 = 24
Answer:
18
Step-by-step explanation:
divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18
Order the given rational numbers from least to greatest:
-4 1/4
3.3
3 1/3
-4 1/4
-3
Answer:
-4 1/4
-4 1/4
-3 1/3
-3.3
3
Step-by-step explanation:
2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel
Answer: 23
Step-by-step explanation:
The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
What is the trigonometric equation?A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.
Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.
The duration of the ride is 15 min.
Let the period be T, then we can write:
h=-82.5.cos(2πt/T)+97.5
So, we must have 2π/T =3π or T=2/3 minutes
Number of complete periods
Floor(15/T)=22
Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
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"Your question is incomplete, probably the complete question/missing part is:"
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
The duration of the ride is 15 min.
How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.
what is the point in the middle of a circle called
Answer:
Step-by-step explanation:
Center: The center of a circle is defined as the point in the middle of the circle. The points that make up the curve that is the circle are all equidistant from the center point.
Answer:
Center of the circle.
Step-by-step explanation: