Answer:
x= -33
Step-by-step explanation:
expand the equation : 2/3x +4 =-18
Then simplify to 2/3x=-22
multiply both sides by 3/2x to get x=-33
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
x + 6 = (3/2)(-18)
x + 6 = -27
x = -33
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.
Answer:
x = 53°
Step-by-step explanation:
The angle 115° and the angle formed by the sum of x+62° are external alternates angles, so it means they have the same measure, and you can find the value of x doing:
115°- 62° = 53°
Which answer shows 0.05 written in scientific notation?
Answer:
5x10^-2 option B
Step-by-step explanation:
Answer:
5x10^-2
the second one.
(c) 63 divided by 3 = 21 , Show how you use this to work out 0.63 divided by 0.3.
Answer:
0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3 x 10^(-2--1) = 21 x 10^-1 = 2.1
Answer:
2.1.
Step-by-step explanation:
63/3 = 21
0.63 = 63 / 100
and 0.3 = 3 / 10
so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3
= 63/3 / 10
So the answer is 21 / 10 = 2.1.
2. (01.01 MC)
Clifford is paid $4.50 per hour plus time and a half on holidays and makes an average of 18% tips on his food sales as a server at the local seafood restaurant. This is
modeled by the expression 4.50(x) + 4.50(1.5)(v) + 0.18(2). What is Clifford's gross pay if he worked 22 regular hours and 8 holiday hours and had $1,892 in food sales?
(2 points)
A 153$
B 475.56
C 493.56
X = regular hours, v is overtime
Replace the letters with the given hours and sales:
4.50(22) + 4.50(1.5)(8) + 0.18(1892)
Simplify:
99 + 54 + 340.56
Add everything together:
493.56
He made C. $493.56
A function assigns the values. Clifford's gross pay is $493.56. The correct option is C, $493.56.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function to calculate total amount that is made by Clifford is modeled as,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d),
where x represents the regular hours, v represent the holiday hours and d represents the sales made by Clifford.
Now, as it is given that Clifford worked 22 regular hours and 8 holiday hours and had $1,892 in food sales. Therefore, if plug the values in the function then,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d)
A = 4.50(22) + 4.50(1.5)(8) + 0.18(1892)
= 99 + 54 + 340.56
= 493.56
Hence, Clifford's gross pay is $493.56.
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Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
Answer:
There are 0.454 kg in one pound.
So, in 120 pounds there are 0.454 x 120 kgs.
This is equal to 54.48, and the answer is 54.48 kg.
Let me know if this helps!
Can someone please help me with my maths question
Answer:
[tex]a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
[tex]b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
Step-by-step explanation:
The question relates with rules of indices
(a) The give expression is presented as follows;
[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}[/tex]
By expanding the expression, we get;
[tex]\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}[/tex]
Collecting like terms gives;
[tex]\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
(b) The given expression is presented as follows;
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4[/tex]
Therefore, we get;
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}[/tex]
Collecting like terms gives;
[tex]x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )[/tex]
[tex]x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
10. What is the measure of angle y?
Answer:
50°
Step-by-step explanation:
Angles in a triangle always add up to 180°.
The square (bottom left of triangle) is a right angle and right angles always equal 90° and the other one is 40°, so you would add them up. This equals 130°.
To find y, you would have to do 180° minus 130° which is 50°.
Hope this helps :)
Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M
Answer:
Step-by-step explanation:
In a parallelogram, this one in particular:
KR = RM
JR = RL
We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that
KM = KR + RM, but since KR and RM are the same length, the equation becomes
KM = 2KR. Filling that in with the expressions I'm given for KM and KR:
3x - 5 = 2(x + 7) and
3x - 5 = 2x + 14 and
x = 19. Now I can find the length of JL:
JL = 4x - 10 so
JL = 4(19) - 10 and
JL = 66
Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.
In 1990, when the CPI-U was 132.4, the
Bucy family spent an average of $80 per
week on food. What was their weekly food
bill in 1994 for the same type and amount
of food? The CPI-U for 1994 was 144.3.
Find the answer to the nearest dollar.
Answer:
342.8 is the amount of money
Find the least number which must be subrtacted from 5607 as to get a perfect square.
Also find the square root of the perfect square so obtained.
( show the workings )
Answer:
i dont know
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
since
[tex]\sqrt{5607} =74,879903...\\\\Let\ x\ the\ searched\ number\\\\5607-x=74^2\\\\x=5607-5476\\\\\boxed{x=131}\\[/tex]
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
2 QUESTIONS!
Answer:
D and B
Step-by-step explanation:
2) (59.6)/180 * pi=1.04
Beverly fpund a magic bean. If she puts it in the soil , every single day it will grow 4 cm. After how many days will it be 14.56 meters tall
Answer:
364 days
Step-by-step explanation:
Magic bean will take 364 days to grow 14.56 m tall.
What is Unit Conversion?A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.
Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.
First we need to convert the height in m into cm.
14.56 m=14.56*100=1456 cm
If it grows 4 cm in one day then:
It will take 1456/4=364 days (a year) to grow completely.
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sin(2x-pi/2)=sin pi/3
Which of the following shapes is the cross-section for a cone?
O A. Pentagon
O B. Square
O C. Triangle
O D. Circle
Answer:
The choose (D)
D. Circle
I hope I helped you^_^
The required cross-section for a cone is a circle. Option D is correct.
What is a conic section?A conic section is a geometric shape that is obtained by intersecting a cone with a plane. Conic sections include circles, ellipses, parabolas, and hyperbolas.
The type of conic section that is formed depends on the angle of the plane relative to the axis of the cone, as well as the distance of the plane from the vertex of the cone.
Here,
The cross-section of a cone is a circle.
A cross-section is a shape that you get when you slice a 3D object with a plane. If you slice a cone parallel to its base, you get a circle as the cross-section.
Therefore, the correct answer is option D.
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if something goes 4% per min how long will it tack to reach 100%
Answer:
It will take 25 minutes
Step-by-step explanation:
4% every minute for 25 mins is 4x25=100
phương trình lượng giác cơ bản
Answer:
Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập
Phương trình sin x = sin α, sin x = a.2. Phương trình cos x = cos α, cos x = a.
3. Phương trình tan x = tan α, tan x = a.
4. Phương trình cot x = cot α, cot x = a. ...
5. Phương trình bậc nhất đối với một hàm số lượng giác. ...
6. Một số điều cần chú ý:
Is the domain of an arithmetic sequence discrete or continuous? Is the range of an arithmetic sequence discrete or continuous?
Answer:
continuous, continuous
Step-by-step explanation:
The discrete domain are set of input variables that have numbers in an interval. A continuous domain has all numbers in an interval. The point representing the solution of an equation are distinct. The range of sequence is the merely a set of defines the sequence and is represented as X1, X2, X3, or N = 1, 2, 3.what is 13.5/10 simplified
Answer:
27/20
Step-by-step explanation:
[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]
After a 20% reduction, you purchase a tv for $336. What was the price of the tv before the reduction?
Answer:
$420
.8 x = 336
x = 336/.8
X=$420
Step-by-step explanation:
why is 0.71875 a rational number
Answer:
Because it is terminating.
Step-by-step explanation:
0.71875 is rational because it is terminating (has a clear end). If it were a bunch of random numbers that never ended, then it would be irrational.
0.71875 is a rational number because it is a terminating and non-repeating decimal.
What are rational numbers and irrational numbers?Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers
Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
Now,the given number is 0.71875
Here we see that digits after decimal 71875 stops,
hence the given number can be convert into fraction of the form a/b
So,
0.71875 = 71875/100000
So 0.71875 can be expressed in the form of a/b
Therefore 0.71875 is rational because it is a terminating and non-repeating decimal.
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Question 16 of 17
Which of the following best describes the graph below?
A. Independent variable
0 o a
B. A relation that is a function
C. A relation that is not a function
D. Dependent variable
Answers................
Answer:
x=1
Step-by-step explanation:
log2( x^2 -x+2) = 1+2log2(x)
Rewriting 1 as log2(2)
log2( x^2 -x+2) = log2(2)+2log2(x)
We know that a log b = log a^b
log2( x^2 -x+2) = log2(2)+log2(x^2)
we know log a + log b = log (ab)
log2( x^2 -x+2) = log2(2*x^2)
Since the bases are the same the terms inside must be equal
x^2 -x+2 = 2x^2
Subtract 2x^2 from each side
-x^2 -x+2 = 0
Multiply by -1
x^2 +x-2 = 0
Factor
(x+2)(x-1)=0
Using the zero product property
x+2 = 0 x-1=0
x=-2 x=1
Checking the solutions
log2( x^2 -x+2) = 1+2log2(x)
X cannot be negative because 2 log2(x) cannot be negative
log2( 1^2 -1+2) = 1+2log2(1)
x=1
[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=1+2log_2x[/tex]
[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=log_22+2log_2x[/tex]
[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=2log_2(2x)[/tex]
[tex]\\ \rm\Rrightarrow log_2(x^2-x+2)=log_2(2x^2)[/tex]
[tex]\\ \rm\Rrightarrow x^2-x+2=2x^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+x-2=0[/tex]
[tex]\\ \rm\Rrightarrow (x+2)(x-1)=0[/tex]
x=-2,1log is always positive so x=1
Laws used
log_a(a)=1loga^m=mlogalog(ab)=loga+logb1+1=
please help me, this question is very difficult
Answer:
2 or tricky answer 11
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.
B
Step-by-step explanation:
Might be wrong
Help help help help help help help help
MATCH THE SYSTEM OF EQUATIONS ON THE LEFT WITH THE APPROPRIATE SOLUTION ON THE RIGHT
Answer:
Step-by-step explanation:
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
a= [tex]\sqrt{19}[/tex]
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
a^2+9^2=10^2
a^2+81=100
a^2=19
a=[tex]\sqrt{19}[/tex]
Answer:
b = 4.4 meters
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other.
Answer:
where are the numbers
Step-by-step explanation:
if x =2 y =3 find the value of x^2-xy^2+y^2
Answer:
i hope it will help
Step-by-step explanation:
I did not get the equation so I solve it with two methods
Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura. Calcular el área del cuadrado
El área del cuadrado es de 3 centímetros cuadrados.
Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:
Radio = diámetro / 2 3 = X/2 X = 6Hipotenusa del triángulo interno: 6 cmAplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.
L^2 + L^2 = 62L^2 = 6L^2 = 6/2L = √ 3L = 1.732Área de un cuadrado = L x L = L^2 = 3Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.
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El área del cuadrado es de 18 centímetros cuadrados.
El procedimiento de resolución se basa en conocer que la Medida de la Diagonal de un Cuadrado inscrito es igual a la Medida del Radio del Círculo, lo cual permite determinar el valor de la medida del Cuadrado en función del Radio del Círculo. Finalmente, determinamos el Área del Cuadrado mediante su fórmula conocida.
Dado que existe un cuadrado inscrito en un círculo, la medida de la diagonal del cuadrado es igual a la medida del radio del círculo. Además, conocemos que un cuadrado está formado por 4 triángulos rectángulos con configuración angular 45-45-90. Entonces, la medida del lado del cuadrado se calcula mediante la siguiente relación geométrica:
[tex]l = \sqrt{2}\cdot R[/tex] (1)
Donde:
[tex]R[/tex] - Radio del círculo, en centímetros.
[tex]l[/tex] - Longitud del lado del cuadrado, en centímetros.
Por otra parte, la ecuación de área del cuadrado es igual a:
[tex]A = l^{2}[/tex] (2)
Donde [tex]A[/tex] es el área del cuadrado, en centímetros cuadrados.
Si sabemos que [tex]R = 3\,cm[/tex], entonces el área del cuadrado es:
[tex]l = \sqrt{2}\cdot (3\,cm)[/tex]
[tex]l = 3\sqrt{2}\,cm[/tex]
[tex]A = (3\sqrt{2}\,cm)^{2}[/tex]
[tex]A = 18\,cm^{2}[/tex]
El área del cuadrado es de 18 centímetros cuadrados.
He aquí una pregunta relacionada sobre el área del cuadrado: https://brainly.com/question/23915250
