=================================================
Work Shown:
b = unknown number
2b = 2 times a number
2b+3 = the sum of 2 times a number and 3
2b+3 = 7, since the expression above is set equal to 7
The equation represents the given algebric phrase is 2b + 3 = 7 and that number will be 2.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
As per the given phrase,
The sum of 2 times a number and 3 equals 7.
2 times b = 2b
The Sum of 2b with 3 equal to 7 will be 2b + 3 = 7
2b = 7 - 3
2b = 4
b = 4/2 = 2
Hence"The equation represents the given algebric phrase is 2b + 3 = 7 and that number will be 2".
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Please help me all I need is 41,42,43. Also could u friend me I just sighned up
Answer:
trailing zeros are dropped1846 beats42×(selling price for 1 tin)Step-by-step explanation:
41. The product of 0.25 and 0.4 is 0.100, with three decimal places. Trailing zeros are usually dropped--except when they are used to indicate significant digits in a calculation. Hence, the usual presentation of the result is ...
0.25 × 0.4 = 0.1
__
42. To find total beats, multiply beats per second by seconds.
(52 beats/second)(35.5 seconds) = (52)(35.5) beats = 1846 beats
The hummingbird's wings will beat 1846 times in 35.5 seconds.
__
43. To find total sales for the week, multiply the price of a tin of popcorn by the number sold in the week (42).
Answer:
41) 0.25 × 0.4 = 0.1
It has only one decimal place in the product because 0.25 has two significant figures and 0.4 has one significant figure. When multiplying, the product will always match with the number that has the least amount of significant figures. Since 0.4 has one significant figure, the product, 0.1, will also have one significant figure.
42) 35.5 s × 52 times/s = 1,846 times
43) 42 tins × $9.25/tin = $388.50
Hope that helps.
Find the value of b. A. 75 B. 72.5 C. 145 D. 65
Answer:
B. 72.5
Step-by-step explanation:
b° = 1/2(180° - 35°)
b° = 1/2 * 145°
b° = 72.5°
b = 72.5
The value of angle b will be 72.5°. Then the correct option is B.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.
The central angle is 35°. Then the angle at the periphery will be
⇒ 35 / 2
⇒ 17.5°
We know that the radius of the circle and tangent of the circle makes 90°.
Then the angle b is given as
b + 17.5 + 90 = 180
b = 180 – 107.5
b = 72.5°
Thus, the value of angle b will be 72.5°.
Then the correct option is B.
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pls help!!
will give the brainliest!
Need explanation
Urgent!!!
Answer:
h=4 and k=-4....
Step-by-step explanation:
hopevit helps you
Step-by-step explanation:
[tex]A^2= \begin{bmatrix} 4 & 0 \\ 4 & 4 \end{bmatrix}[/tex]
Equate this to $hA + kI$
Thus,
[tex] A^2= h \begin{bmatrix} 2 & 0 \\ 1 & 2 \end{bmatrix} + k \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}[/tex]
Hence we have the following equations (by equating corresponding terms on both sides):
$2h+k=4$
$h=4$
Solve these to get $h=4$ and $k=-4$
the 3rd and the 4th terms of an arithmetic progression are 6and30 respectively determine the common term,first term and the 10th term
Answer:
first term= -42
common difference= 24
10th term= 174
somebody please help me on this geometry it is urgent!! i’ll mark you the brainliest please don’t waste answers
what is the missing length? help plssss
========================================
Work Shown:
LK = 65
LR = 52
RK = LK - LR = 65 - 52 = 13
The triangles are similar, so the corresponding sides form equal ratios
LK corresponds to RK as they are both on the same side
LK/RK is one ratio and it is equal to MK/SK
----------------
LK/RK = MK/SK
65/13 = 60/x
65x = 13*60 ... cross multiply
65x = 780
x = 780/65 ... divide both sides by 65
x = 12
SK = 12
Answer:
12
Step-by-step explanation:
RK = 65- 52= 13
similar triangle (∆RKS and ∆LKM)
[tex] \frac{13}{65} = \frac{x}{60} [/tex]
[tex]x = \frac{60 \times 13}{65} [/tex]
[tex]x = 12[/tex]
what is your average speed if you drive 100km south and then 130km east and it takes 3.25 hours give your answers in km/hr and ft/sec
Answer:
Answer:
speed = 43.974 miles per hour
= 43.974 mi/h
Step-by-step explanation: speed calculator
What is 3.242424 as a mixed number
Answer:
Step-by-step explanation:
The answer is 3 /8/33.
step by step explanation
First, we can write:
x
=
3
.
¯¯¯¯
24
Next, we can multiply each side by
100
giving:
100
x
=
324
.
¯¯¯¯
24
Then we can subtract each side of the first equation from each side of the second equation giving:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can now solve for
x
as follows:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Now, we can convert this improper fraction to a mixed number:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
24
=
3
8
33
Math problem: If Alexander the Great had lived 9 years more his reign would have lasted 1/2 his life, while if he had lived 9 years less his reign would have lasted 1/8 of his life. How old was Alexander when he died? And how long did he reign?
Answer: lived 48 years
reigned for 15 years
Step-by-step explanation:
Let x represent the number of years he reigned.
Let y represent Alexander's age.
Use the given information to create a system of equations:
Equation 1: x + 9 = (1/2)y
Equation 2: x - 9 = (1/8)y
Multiply the second equation by -1 and add the equations to eliminate x:
[tex].\quad x+9=\dfrac{1}{2}y\\\\\underline{-x+9}=\underline{-\dfrac{1}{8}}y\\\\.\qquad 18=\dfrac{3}{8}y\\\\.\qquad 48=y[/tex]
Input y = 48 into either equation to solve for x:
[tex].\quad x+9=\dfrac{1}{2}(48)\\\\.\quad x+9 = 24\\\\.\qquad x = 15[/tex]
The children from a football club are put into rows in the sports hall. When put in rows of 6 children, there are 3 children left over. When put in rows of 8, there are 3 children left over. What is the least number of children in this football club
Answe:
27
Step-by-step explanation:
Let total children =x
when x divide by 6 we got 3
and when divide by 8 we also got 3
since x divided by both 6 and 8 got 3, we can use LCM to find the number to children in the club exclude the 3 player. you will get 24 and by adding 3 the total players that you will get is 27
there are 18 girls and 22 boys in a class that has a letter the probability that the owner of the letter is a boy
18 + 22 = 40 total kids.
22 are boys
Probability the letter is with a boy would be 22/40 = 11/20
Which box-and-whisker plot represents this data: 6, 9, 13, 13, 18, 20, 22, 25, 26, 28, 30, 30 ?
do you want me to make you a box and whisker plot if so then here
The l.c.m and h.c.f of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find the HCF of two numbers.
Correct question:
The LCM of two numbers is 9 times their HCF .The sum of LCM and HCF is 500 . Find the HCF of two numbers.
Answer:
The HCF of two numbers is 50.
Step-by-step explanation:
let the H.C.F of the two numbers = x
let the L.C.M of the two numbers = y
y = 9x -------equation (1)
y + x = 500 -------- equation (2)
y = 500 - x
Substitute in the value of y in equation (1)
500 - x = 9x
500 = 9x + x
500 = 10x
x = 500 / 10
x = 50
Therefore, the HCF of two numbers is 50.
Answer:
50
Step-by-step explanation:
There are 2 prime factors that are different and 2 numbers that we look for that are identical when looking for prime factors.
So for numbers that don't end in 0 like 500 we can start with 3 to get 27 as one of the two numbers, then we look to see if 27 divides into that.
But for 500 it will always be numbers that end in 0 or 5 and also 1, 2 and 4
So we work with 9+1 = 10
x = 10
500/10 = 50
convert the repeating decimals to fractions
1:) repeating 7
?
16/9
Step-by-step explanation:1,7777777777777 =
= 1,(7)
= (17 - 1)/9
= 16/9
Which of the following equations is quadratic? (a) x1x² + 1) = 0
(b) 5(4x + 2) = 3
(c) (x+3)(x + 4) = 5
Answer:
(c) (x+3)(x+4)=5
Step-by-step explanation:
It's in factored form, and you would use the method of finding the perfect square to get the equation set to zero and find the solutions.
Write a justification for each step given that EG=FH
Answer:
Option (C)
Step-by-step explanation:
Statements Reasons
1). EG = FH 1). Given information
2). EG = EF + FG 2). Segment addition postulate
3). FH = FG + GH 3). Segment addition postulate
4). EF + FG = FG + GH 4). Definition of congruent segments
5). EF = GH 5). Subtraction property of equality
Therefore, reasons given in Option (C) will be the answer.
Here is a number line with some points labeled. Type the answers into the boxes below. a. Write the number
A as a fraction.
B as a decimal
C as a decimial and a fraction
Answer:
A = 2/4
B = 1.25
C = 11/4 , 2.75
Step-by-step explanation:
what is the value of "x" if 16-x=3
Answer:
[tex] \boxed{ \boxed{ \bold{13}}}[/tex]Step-by-step explanation:
[tex] \sf{16 - x = 3}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{ - x = 3 - 16}[/tex]
Calculate
⇒[tex] \sf{ - x = - 13}[/tex]
Change the signs of both sides of the equation
⇒[tex] \sf{x = 13}[/tex]
Hope I helped!
Best regards!!
Answer: 13
Step-by-step explanation:
16-x=3
16-x-3=3-3 ⇔ subtraction property of equality
13-x=0
13-x-13=0-13 ⇔ subtraction property of equality
-x=-13
x=13
-----------------------------------
Easier way if you know how to do equation
16-x=3
-x=-13 (skip all the subtracting parts)
x=13
Hope this helps!! :)
Select all sets in which the number - 14 is an element
A whole numbers
B. irrational numbers
C. real numbers
D. natural numbers
E integers
E rational numbers
Answer:
The answer is: Integers, Rational numbers, and Real numbers.
Step-by-step explanation:
Following are the description of the numbers:
The whole number is the collection of the natural numbers which includes 0 also.Irrational numbers are those which can't be stated as the ratio of two whole numbers. Real numbers are numbers that can be stated in an infinite decimal expansion. It contains both rational and irrational numbers.Natural numbers are those which includes only positive value except 0.Integer, whole-valued positively or negatively integer, or 0.Rational numbers are numbers that may be expressed as the quotient [tex]\frac{p }{q}[/tex]of two integers so that [tex]q\neq 0[/tex].That's why, the choice is "C, E, and F" which are Real numbers, Integers, and Rational numbers are correct.
Learn more:
Numbers: brainly.com/question/3589540
solve 36x^2+23=60x using quadratic formula
Answer:
x₁ = 0.6
x₂ = 1.07
Step-by-step explanation:
36x² + 23 = 60x
36x² - 60x + 23 = 0
x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)
x = {60±√(3600-3312)} / 72
x = {60±√288) / 72
x = {60±16.97) / 72
x₁ = {60-16.97} / 72 = 43.03/72 = 0.6 aprox.
x₂ = {60+16.97} / 72 = 76.97/72 = 1.07 aprox.
verify:
x₁
36*0.6² + 23 = 60*0.6
36*0.36 + 23 = 36
13 + 23 = 36
x₂
36*1.07² + 23 = 60*1.07
36*1.145 + 23 = 64.2
41.2 + 23 = 64.2
For the points given below, find (a) PQ and (b) the coordinates of the midpoint of PQ. P(0,-3), Q(7,0)
Answer:
Step-by-step explanation:
Given P(0,-3), Q(7,0), to get PQ, we will use the formula fr calculating the distance between two points expressed as;
PQ = √(x₂-x₁)²+(y₂-y₁)²
From the given coordinates, x₁ = 0, y₁ = -3, x₂ = 7, y₂ = 0
PQ = √(7-0)²+(0-(-3))²
PQ = √7²+3²
PQ = √49+9
PQ = √58
Let the coordinte of the midpoint be (X, Y)
X = x₁+x₂/2 and Y = y₁+y₂/2
Substituting the given coordinates will give;
X = 0+7/2
X = 7/2
X = 3.5
Y = -3+0/2
Y = -3/2
Y = -1.5
Hence, the coordinates of the midpoint of PQ is (3.5, -1.5)
Find the equation of a line through the given point A that satisfies the given condition: Point A(-2,7); parallel to the line y=-3x - 4
Answer:
y = -3x + 1
Step-by-step explanation:
slope = -3
y = mx + b
7 = -3(-2) + b
7 = 6 + b
1 = b
y = -3x + 1
Solve for bbb. \dfrac23b + 5 = 20 - b 3 2 b+5=20−bstart fraction, 2, divided by, 3, end fraction, b, plus, 5, equals, 20, minus, b b =b=b, equals
This question was not written properly.
Complete Question
Solve for b.
2/3b + 5 = 20 - b
Answer:
b = 9
Step-by-step explanation:
We are given the algebraic expression
2/3b + 5 = 20 - b
Step 1
Collect like terms
2/3b + b = 20 - 5
Step 2
Solve for the left hand side of the equation
2/3b + b = 15
(5/3)b = 15
Step 3
Cross multiply
5b = 15 × 3
Step 4
Divide both sides by 5
5b/5 = 45/5
b = 9
Answer: b=9
Step-by-step explanation:bc khan +]
36m2 - 25 = 0 please show work :)! Factoring problem
Astronomers estimate the internal temperature of the sun is 15,000,000 K. What is 15,000,000 written in scientific notation?
Answer:
1.5 x 10^7
Step-by-step explanation:
move 7 times to the right to check answer 1.5000000
1.5 x [tex]10^{7}[/tex] is written in scientific notation.
What is scientific notation?Scientific notation is a manner of writing very huge or very small numbers. a range of is written in scientific notation whilst a variety of between 1 and 10 is extended with the aid of a strength of 10. As an example, 650,000,000 can be written in clinical notation as 6.5 ✕ 10^8. Created by means of Sal Khan and the CK-12 Foundation.
How do astronomers degree the temperature of the solar?The color of mild a star emits is associated with its temperature. This means we will determine the effective temperature of the solar by using measuring the amount of mild it emits at each wavelength and evaluating the ensuing spectrum we see in models.
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What is the value of x in the equation 2(5x + 4) = 17? (5 points) a start fraction five over two end fraction b start fraction two over five end fraction c start fraction nine over 10 end fraction d start fraction 17 over 18 end fraction
I AM GONNA CRY PLEASE PLEASE HELP ME
You invest $5,000 dollars in an account at 1.6% interest and interest is compounded
annually (once a year).
a) Write an equation that shows the amount of money you have after x years.
b) How much money would you have after 15 years?
Part (a)
Answer: y = 5000(1.016)^x------------------
Explanation:
You use the compound interest formula
A = P(1 + r/n)^(n*t)
where
A = final amount after t yearsP = amount deposited (principal) = 5000r = decimal form of interest rate = 0.016n = number of times we compound per year = 1t = number of years = x, some unknown numberAfter plugging those values in, you would go from A = P(1 + r/n)^(n*t) to
A = P(1 + r/n)^(n*t)
A = 5000(1 + 0.016/1)^(1*x)
A = 5000(1.016)^x
Since you're using x for the input, it's possible your teacher wants you to use y for the output. So replace A with y to get y = 5000(1.016)^x
==============================================
Part (b)
Answer: 6344.18 dollars--------------------------
Explanation:
Plug x = 15 into the equation we found back in part (a). Use your calculator to simplify. Round to the nearest hundredth which is rounding to the nearest penny.
y = 5000(1.016)^x
y = 5000(1.016)^15
y = 6344.1818561953
y = 6344.18
Answer:
girlie u gotta chill
Step-by-step explanation:
A student took a survey of the class. There are 42 students in the class. The student surveyed favorite foods. 10 said hamburgers, 22 said pizza, 8 said french fries, and 2 said salad. Which percentage of the class chose pizza?
Answer:
52.38%
Step-by-step explanation:
Given that,
Total number of students in the class is 42
Out of 42, 10 like hamburgers, 22 like pizza, 8 like french fries, and 2 like salad.
We need to find the percentage of the class chose pizza. There are 22 student who like to have pizza. Required percentage is given by :
[tex]P=\dfrac{22}{42}\times 100\\\\P=52.38\%[/tex]
So, 52.38% of students chose pizza.
perimeter of a regular pentagon is 5 times the length of its side
Answer:
True
Step-by-step explanation:
A regular polygon is a polygon that is equiangular and equilateral.It means the perimeter of it is 5 times the length of its side.
The answer is yes, the statement is TRUE.
In Point-Slope Form, what is the equation of the line perpendicular to y = -8x - 5 that passes through (2,-4)
Answer:
line: y = (1/8)x - 17/4
Step-by-step explanation:
To find perpendicular of line (negative reciprocal the given slope)
y = -8x-5
Perpendicular slope = (1/8)x
-4 = (1/8)(2) + b
-4 = 1/4 +b
Multiply everything by 4 to make it eaiser
-16 = 1 -+4b
-17 = 4b
b = -17/4