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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Can an object be reflected over a line and not move positions?
No, an object can't be reflected over a line without changing its position.
What is Reflection?A Reflection is a transformation representing a flip of a figure.
Given that an object can be Reflected over a line without moving its position,
There are certain rules for reflection of figures,
(x, y) → (x, -y)(x, y) → (-x, y)(x, y) → (y, x)(x, y) → (-y, -x)Using these rules, a point is reflected, so it's not possible for an object to be reflected without changing position.
Hence, an object can't be reflected over a line without changing its position.
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a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
4-0,9+(-0,11)-(-1,3) PLEASE HELP
Answer:
-20
Step-by-step explanation:
PEMDAS
If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?
Answer:
2:4 or simplify and get 1:2
Step-by-step explanation:
2 tsp. of oil every 4 cups of flour.
Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?
Answer:
$ 50.00
Step-by-step explanation:
Hope this helps!
Find the lowest common multiple (LCM) of 18 and 21.
LMC (18,21) = 126
ok done. Thank to me :>
You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?
Answer:
1,000 ÷25 = 40 so 40÷20= $2.00
your answer is $2.00 hope this helps
here is a screenshot please help 15 points
polynomials functions please help
Answer:
Step-by-step explanation:
Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793
Answer:
D
Step-by-step explanation:
Just did it
Pls help this is due today and i have no idea
Answer:
x=38°
Step-by-step explanation:
sinx/21 =sin(38°)/21
sinx=21Sin(38°)/21
x = arcsin(21Sin(38°)/21)
x=38°
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
Answer:
The larger number is 96.
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]
Please help! ):
For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).
Answer:
(g°f)(x) = 54x^2 - 144x + 101
Step-by-step explanation:
(g°f)(x)= g(f(x)) = g(3x-4) = 6(9x^2 - 24x + 16)+5 = 54x^2 - 144x + 101
what is -3 (x+2) = 16 -x
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
-3(x + 2) = 16 - x
Step 2: Solve for x
[Distributive Property] Distribute -3: -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides: -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides: -2x = 22[Division Property of Equality] Divide -2 on both sides: x = -11( ꈍᴗꈍ)
introduction to algebra explain
Answer:
Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.
Step-by-step explanation:
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Hiiii!
Here's what algebra is:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.
In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.
Hope it helps! ( ꈍᴗꈍ)
-Nezuko
Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.
A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?
A.)24
B.)12
C.)96
D.)48
Answer:
D)48
Step-by-step explanation:
The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?
Answer:
33 m/s
Step-by-step explanation:
120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s
_____
Additional comment
In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.
The hypotenuse of a right triangle measures 19 cm and one of its legs measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
18.9
Step-by-step explanation:
The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.
Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No
Answer: 150 m, 5.305*10^-5 kW/m^2, No
Step-by-step explanation:
See attachment, hope this helps
Using the radiation intensity formula we will have to:
a) [tex]150 m[/tex]
b) [tex]5.305*10^{-5} kW/m^2[/tex]
c)No
From the data informed, we have:
[tex]h=150m\\P=40KW[/tex]
Using the given formula and performing some mathematical operations:
[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]
deriving the given equation, we will have:
[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]
So from this equation we have that the answer of the letter A corresponds:
[tex]R=150[/tex]
For letter B we will have to develop this equation:
[tex]I= 5.30X10^{-5}[/tex]
As for the letter C, when converting the value found, it should give 200 microwatts, which is false.
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Can someone help please no links
Answer:
-4 or 4 I would have to go with-4!!
Step-by-step explanation:
I hope this helps in any way!!
С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards
Answer:
C = 13
Step-by-step explanation:
A²+B²=C²
where c is the hypothenuse
5²+12²=c²
25+144=c²
169=c²
√169 = c
13 = c
32is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 32, slightly less than , slightly greater than 32, or a lot greater than 32 ? Explain
Answer:
A lot greater
Step-by-step explanation:
32 is 0.2% of the number, that is a small amount compared to what the whole is
How many bagels can you buy for $50?
Answer: about 120??
Step-by-step explanation: pls leave a thanks if helped <3
Answer: 120 bagels
Step-by-step explanation:
$50/$5 = 10 dozens of bagels
10 dozens x 12 = 120 bagels in total
slope and y intercept for 2y-8=6x
Answer:
slope = 3
y intercept = 4
Step-by-step explanation:
Rearrange the equation so y is the subject.
1. Add 8 to both sides
2y = 6x + 8
2. Divide both sides by 2
y = 3x + 4
Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.
Evaluate the expression below.
5^{0}5
0
The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.
If h(x) = 15x - 171, find h(3)
H(3) means to replace x in the equation with 3 and then solve:
15(3) - 171
45-171
-126
Answer: -126
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.
The absolute value function that could represent this situation is:
[tex]|D - 42.67| = 0.002[/tex]
The absolute value function is defined by:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:
[tex]|D - 42.67| = 0.002[/tex]
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Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below.
Expressions Generated by Students
Student
Expression
Jeremy
(20 + 13 + 15) + (20 + 47 + 18)
Layla
(20 + 47 + 18) + (13 + 15 + 20)
Keith
(13 + 20) + (20 + 47 + 18) + 15
Melinda
(13 + 15 + 20 + 20) + (47 + 18)
How many of the students correctly applied only the associative property to rewrite the expression?
one
two
three
four
Mark this and return
Answer:
Jeremy
Step-by-step explanation:
You need to add 20+13+15=48 Then you add 20+47+18=85.
please help please pleas
Answer:
8,8,6
Step-by-step explanation:
Since AB = BC, 4y = 3y+2
solving, y = 2
then we plug it back into the equations and get the answers
Answer:
Step-by-step explanation:
Givens
AB = BC
AB = 4y
BC = 3y + 2
AC = 3y
Solution
AB = BC
4y = 3y + 2 Subtract 3y from both sides
4y -3y = 3y-3y + 2 Combine
y = 2
AB = 4y = 4*2 = 8
BC = 3y + 2 = 3*2 + 2 = 6+2 = 8
AC = 3y = 3*2 = 6
