Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.
The addition of positive and negative number will always subtract with sign of maximum value.
The multiplication of positive and negative number will have a negative sign always.
AdditionConcept for the addition of positive and negative numberWhen two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.
with negative sign: when two numbers are added such that the number with negative sign has the larger value, then both numbers will get subtracted but with negative sign.Example: Consider two number -5 and 4
= -5 + 4
= -1
Here, 5 is the larger value. So, the sign comes is negative.
with positive sign: when two numbers are added such that the number with positive sign has the larger value, then both numbers will get subtracted but with positive sign.Example: consider two number 5 and -4.
= 5 + (-4)
= 1
Here, 5 is the large number. So, the sign comes is positive.
MultiplicationConcept for the multiplication of positive and negative number:When two numbers with opposite signs are multiplied, the answer is always a negative number.
Example; Consider two numbers 4 and -5.
On multiplication,
4×(-5) = -20
Thus, the multiplication of two numbers with different signs will always give a negative number.
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Find the constant of proportionality (r) in the equation y=rx
Answer:
0.1
Step-by-step explanation:
r = y/x
r = 1.4 / 14 = 0.1
Find the scale factor of the dilation. Then tell whether the
dilation is a reduction or an enlargement
Answer:
Enlargement
k =[tex]\frac{18}{4}[/tex] = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
k = [tex]\frac{new}{old}[/tex]
If k > 1 then its an enlargement.
If k < 1 then its a reduction
The equation of a circle is given below. Identify the center and the radius.
4x² + 32x + 4y2 – 20y = – 53
Answer:
Step-by-step explanation:
which relation is a function?
The first one because there is only one y value for every x value. The correct option is first.
To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.
In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.
Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.
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Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 2[tex]\sqrt{2}[/tex]
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{\sqrt{2}}{x}[/tex]
x=2*[tex]\sqrt{2}[/tex]
The value of x is 2[tex]\sqrt{2}[/tex]
simplify the following radical expression -7√2 + 10 √2
Answer:
3√2
Step-by-step explanation:
* means multiply
-7√2 + 10 √2
take √2 out of the expression
√2 (-7 + 10)
√2 (3)
3√2
please someone help I know the answer but I don't know how to place it on the scales below. (15 Points)
Given:
a. 35% of 150 g
b. 113% of $55
To find:
The correct values for the given blanks.
Solution:
a. 35% of 150 g
Here, the percent part is 35% and percent whole is 100%.
35% of 150 g is:
[tex]\dfrac{35}{100}\times 150=52.5[/tex]
So, the number part is 52.5 g and the whole number is 150 g.
Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.
b. 113% of $55 g
Here, the percent part is 113% and percent whole is 100%.
113% of $55 is:
[tex]\dfrac{113}{100}\times 55=62.15[/tex]
So, the number part is $62.15 and the whole number is $55.
Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.
x² -23n +132 pls help
Answer:
(x-11)(x-12)
Step-by-step explanation:
To clarify, there was a likely typo written in your question since it is impossible to solve two unknown values with only one equation. I'm supposing that the equation was supposed to be
[tex] {x}^{2} - 23x + 132[/tex]
The first step is to split the term into factorable terms.
Since the highest power is power of 2, the equation would look like this if factorized:
[tex](ax + b)(cx + d)[/tex]
If the terms were added properly, the expanded equation would be:
[tex](ac \times {x}^{2} ) +( (ad + bc) \times x) + (bd)[/tex]
Generally, we do not see decimal values or fractions in factorization with some exceptions. Otherwise, the equation could get very complicated.
In this case, we can determine the following:
[tex]a \times c = 1[/tex]
[tex](a \times d) + (b \times c) = - 23[/tex]
[tex]b \times d = 132[/tex]
First, we can determine a and c to be one since one only has one factor, which is itself.
This leaves us with two equations left
[tex]b + d = - 23[/tex]
[tex]b \times d = 132[/tex]
There are two ways to solve the remaining two terms. We can either find the factors or do quadratic equation. Finding the factors is the easier way out here.
b and d will add up to negative values but multiplying these values give positive values. The most likely reason is that b and d are negative values.
Now, we can find the factors of 132.
The factors are 1, 2, 3, 4 , 6, 11, 12, 22, 33, 44, 66 and 132. However, the values flip around.
In fact, the "factors" we are looking for are the negative values of the actual factors. To solve this, we should find two factors that add up to 23.
In this case, 11+12=23.
To verify, 11*12 is also 132.
Since we are looking for the negative values, the values we are looking for are -11 and -12.
The values can be plugged in anywhere in b or d.
After cleaning up, we can plug in the values into our factorization and we will get:
[tex](1x - 11)(1x - 12)[/tex]
or
[tex](x - 11)(x - 12)[/tex]
HELPsjskskksksksksnxhxhxjsjsns
simplify please help me
[tex] \frac{x - 4}{x + 6} - \frac{x - 6}{x + 4} [/tex]
Answer:
[tex]\frac{20}{x^2 + 10x+24}[/tex]
Step-by-step explanation:
common denominators : (x+6)(x+4)
numerators become difference of squares
[tex]x^2 -16[/tex] and [tex]x^2-36[/tex]
[tex]x^2 -16[/tex] - [tex]x^2-36[/tex] = 20
(x+6)(x+4) = [tex]{x^2 + 10x+24}[/tex]
Answer:
i hope it will help you thank u
Find the integer that lies between [tex]$\sqrt[3]{-45}$ and $\sqrt[3]{-101}$[/tex]
∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
find the angles of the triangle if they are proportional to the following 3 4 5
Answer: 90, and 1600 degrees.2500
Step-by-step explanation:
If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X
Step-by-step explanation:
Answer:
45 60 75
Step-by-step explanation:
Let's call the angles 3 x , 4 x and 5 x
They must add up to 180 o in a triangle, so:
3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:
3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:
45 + 60 + 75 = 180
A 15 foot pole extends t feet below ground and 10 feet above ground. Choose the linear equation that models the situation.
No options are given for the question :
Answer:
t + 10 = 15
Step-by-step explanation:
Given that :
Length of pole = 15 feet
Height below the ground = t
Height above the ground = 10
Tge linear equation which represents the scenario can be modeled as :
Entire length of pole = 15 feets
Length above ground = 10
Length below ground = t
Length below + length above = total length
t + 10 = 15
HELP ASAP PLEASE!! calculate the expected gain or loss for stock jkl
Answer: $8.50
Step-by-step explanation:
The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.
Expected gain or loss for stock JKL:
= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)
= (15% * -25) + (65% * 5) + (20% * 45)
= -3.75 + 3.25 + 9
= $8.50
Answer:8.50$
Step-by-step explanation:
PLEASE HELP ASAP!!!
solve for the given variable and show your work. 3a-12b=30. solve for b.
Answer:
b=(-10-a)/4
First factor out the common number:3
Then divide both sides by 3
Then simplify 30/3 to 10
Then subtract a to get your answer
PLS HELP (algebra 1)
solve -19d + 8(7d - 14)
Answer:
[tex]\huge\boxed{-19d + 8(7d - 14)=37d-112}[/tex]
Step-by-step explanation:
[tex]-19d + 8(7d - 14)[/tex]
use the distributive property: a(b + c) = ab + ac
[tex]-19d + (8)(7d)+(8)(- 14)=-19d+56d-112[/tex]
combine like terms
[tex]=(-19d+56d)-112=37d-112[/tex]
PLEEAASSEEEE HELP ME. IM ABOUT TO GET A REALLY BAD GRADE AND MY PARENTS WILL GET SO MAD I REALLY NEED HELK PLEASW
An absolute value graph looks like a V. If the number attached to the x is positive, then the graph opens upwards. If the number attached to the x is negative, then the graph opens downwards.
In this case, the graph opens downwards.
To find the vertex, look at the |x - 1| part of the equation. This tells us that x is shifted 1 to the right (opposite of the sign). And, the 3 outside of the absolute value bars tells us that the graph is also shifted up 3. Therefore, the vertex is (1, 3).
Next, we need to figure out how to graph it. That's where the -2 in front comes in. We know the graph faces downwards already. So, from the vertex, we will go down 2 spaces and left or right 1 depending on the side you are working on. Continue this pattern just like you would graphing the slope of a regular line, but this one is two sided.
If you need to view the graph for further help, I would recommend an online graphing calculator such as Desmos.
Hope this helps!
What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ?
:)
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given:
[tex]4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})[/tex]
Distribute to remove parentheses:
[tex]4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]
For simplification and clarity, reduce all mixed numbers to simplified common fractions:
[tex]\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Combine like terms:
[tex]-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Add 6/5 to both sides, then add 9/5x to both sides:
[tex]-\frac{3}{5}x=\frac{9}{5}[/tex]
Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):
[tex]x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}[/tex]
4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?
Answer:
Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.
Recordar que para un rectángulo de largo L, y ancho W, el área es:
A = L*W
Entonces el área del piso, será:
A = 435cm*375cm = 163,125 cm^2
Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.
No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.
Dicho de otra forma
el largo, 435cm, tiene que ser múltiplo de L
el ancho, 375cm, tiene que ser múltiplo de L.
Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm
En este caso, el área de cada baldosa es:
a = L^2 = 5cm*5cm = 25cm^2
Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.
N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.
También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm
Entonces las baldosas podrían tener 15cm de lado.
En este caso, el área de cada baldosa es:
A = (15cm)^2 = 225cm
En este caso el número total de baldosas necesarias será:
N = ( 163,125 cm^2)/(225cm^2) = 725 baldosas.
Help me out please, thank you
Answer:
The answer is D (-0.7)
Step-by-step explanation:
Using d formular,a is 1,b is -5,c is -4
Input ur values and u will get ur answer
Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours.
Answer:
406
Step-by-step explanation:
all you have to do is divide 174 by 3 and multiply 58 by 7
-3/11 + 5/9 can you pls explain this step by step
Answer:
[tex]\frac{28}{9}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{11} +\frac{5}{9}[/tex]
[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]
[tex]=\frac{-27+55}{99}[/tex]
[tex]=\frac{28}{99}[/tex]
1. Another way to think of your net earnings is
the overtime request
the employee discount
the quota that is filled
the amount of your paycheck
Answer:
amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.
Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know σ, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Will her interval be longer or shorter than one obtained by using an appropriate Student's t distribution? Explain.
Answer:
Shorter
Step-by-step explanation:
When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40
At α = 0.05 ;
Tcritical, df = 40 = 2.02
Zcritical = 1.96
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
Answer:
25 divided by 5 equals 5
it cost 5 dollars per package
Hope This Helps!!!
Work out the height of this triangle with base, b = 8mm and
area, A = 218.8mm?,
Answer:
54.7 mm
Step-by-step explanation:
use the formula area= 1/2 base time height
A=1/2bh
Answer:
54.7mm
Step-by-step explanation:
Area=1/2b×h
218.8=0.5×8×h
218.8=4h
h=218.8÷4
h=54.7
Which of the following is most likely the next step in the series?
А.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon
Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the sweater?
rounding
Answer:
$32.07
ROUNDING ANSWER : $32
Step-by-step explanation:
you would subtract $44.95 -$12.88 which would give you $32.07
since you are rounding your answer would be $32
Hope this helps
Answer:
Stephanie saved about $32 on her new sweater.
$44.95 - $12.88 = $32.07
$32.07 rounds down to $32
Step-by-step explanation:
Have the same assignment. Hope this helps!
Quadrilateral A B C D is shown. All sides are congruent. Angle C is a right angle.
Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.
Answer:
The first one and last one
Step-by-step explanation:
Answer:
1,2,5
Step-by-step explanation:
got it right on edge
plz help ASAP with explanation
Answer:
19.5 cm
Step-by-step explanation:
the remaining height = 1200 /(12×8)
= 1200/96 = 12.5 cm
so, the height of the tank = 7+ 12.5 = 19.5 cm
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
