Simply the equation -2(-3 + 2z)
6 − 4z
what is the decimal for -1 1/2
Answer:
[tex]\large \boxed{\mathrm{-1.5}}[/tex]
Step-by-step explanation:
-1 1/2
1 over 2 is one half or 0.5
-1+0.5 = -1.5
Answer:
[tex] \boxed{\red{\bold{- 1.5}}}[/tex]
Step-by-step explanation:
[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]
hope this helps you.
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Lauren has a bouquet of flowers.
1/5 of the flowers are red
3/10 of the flowers are white
The rest of the flowers are yellow
Lauren’s bouquet has 18 yellow flowers. How many flowers are included in her bouquet
Answer:
There are a total of 36 flowers in the bouquet.
Step-by-step explanation:
1/5 + 3/10 = 1/2 when simplified. So half of her flowers are yellow and the other half is red and white. Sence Lauren has 18 yellow flowers then there must be a total of 18 red and white flowers. So 18 + 18= 36.
What is the slope of the line that passes through the points (-6, -7)(−6,−7) and (-24, -7) ?(−24,−7)? Write your answer in simplest form.
Answer: 0
Step-by-step explanation: since it’s 2 negatives it will lead up too 0 and it can’t be undefined
The slope of the given points is -17.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points.
Given that, a slope passes through two points (-6, -7) and (-24, -7)
Slope = (y2-y1)/(x2-x1)
= (-24+7)/(-7+6)
= -17
Hence, the slope is -17.
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3x + y = 6
4r + 2y = 8
Answer:
Step-by-step explanation:
3x + y = 6
4x + 2y = 8
-6x - 2y = -12
4x + 2y = 8
-2x = - 4
x = 2
3(2) + y = 6
6 + y = 6
y = 0
(2,0)
If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C= cost and g= gigabytes of data used each month
Answer:
The value of the slope in this equation is 50
The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50
Step-by-step explanation:
To answer this question, we need to compare the given equation with the equation of a straight line graph.
The equation we have is;
c = 50g + 75
comparing this with the equation of a straight line, we have
y = mx + c
where m represents the slope and c is the y-intercept
So comparing both, the slope of the equation is 50.
The slope is always the co-efficient of the value on the x-axis
So what does this mean?
The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.
So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50
Simplify to create an equivalent expression. 8−4(−x+5)
Choose 1 answer:
A
4x−12
B
−4x−12
C
4x+13
D
4x+5
Answer:
[tex]8 - 4( - x + 5) = 8 + 4x - 20 = 4x - 12[/tex]
Step-by-step explanation:
the answer is A
Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compounded monthly , the total amount imran would have saved at the end of three year would be.
Answer:
3.590.04
Step-by-step explanation:
The formula given for total amount saved when compounding interest =
A = P(1 + r/n)^nt
Where
A = Total amount saved after t years
P = Principal or initial amount saved
r = Interest rate
n = compounding frequency
t = time in years
From the above question
P = 3000
r =6% = 0.06
n =compounded monthly = 12
t = 3 years
Hence,
A = 3000(1 + 0.06/12)^3 × 12
A = 3000(1 + 0.06/12)^36
A = 3,590.04
Therefore, the total amount Imran will have in his account after 3 years = 3,590.04
5(x^3)^2(-2x^4)^-3
Simplify and write with positive exponents
Answer:
Step-by-step explanation:
really needing help with this problem
Answer:60
Step-by-step explanation:
Answer:
z = 80
Step-by-step explanation:
A quadrilateral has angles that sum to 360 degrees
E + C+ G+F = 360
100+60+120+F = 360
Combine like terms
280+F = 360
F = 360-280
F = 80
We know that ABCD is similar to FECG
That means the measure of A = measure of F
z = 80
How to solve this equation?
f(x)=5-x²
Answer:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
Step-by-step explanation:
To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:
[tex]f(x)=5-x^2[/tex]
Set f(x) to 0:
[tex]0=5-x^2[/tex]
Add x^2 to both sides:
[tex]x^2=5[/tex]
Take the square root of both sides:
[tex]x=\pm\sqrt{5}[/tex]
So, our solutions are:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
Miguel's family sells baskets of berries at the farmers' market. This list shows the weights of some of their baskets. What is the combined weight of all the baskets that weigh exactly 1 1 4 pounds?
Answer:
The combined weight of all the basket is 9 pounds.
Step-by-step explanation:
Given that,
Weight of berries [tex]W=1\dfrac{1}{4}\ pounds[/tex]
[tex]W=\dfrac{5}{4}\ pounds[/tex]
Suppose, The weights of some of their baskets are ,
Weight of first basket with berries = 2 pound
Weight of second basket with berries = 3 pound
Weight of third basket with berries = 4 pound
Weight of fourth basket with berries = 5 pound
We need to calculate the weight of first basket
Using formula for weight
[tex]W_{b}=W_{b+be}-W_{be}[/tex]
Where, [tex]W_{b+be}[/tex] = weight of basket with berries
[tex]W_{b}[/tex] = weight of basket
[tex]W_{be}[/tex] = weight of berries
Put the value into the formula
[tex]W_{b}=2-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{8-5}{4}[/tex]
[tex]W_{b}=\dfrac{3}{4}\ pounds[/tex]
Similarly,
We need to calculate the weight of second basket
Using formula for weight
[tex]W'_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W'_{b}=3-\dfrac{5}{4}[/tex]
[tex]W'_{b}=\dfrac{12-5}{4}[/tex]
[tex]W'_{b}=\dfrac{7}{4}\ pounds[/tex]
We need to calculate the weight of third basket
Using formula for weight
[tex]W''_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W_{b}=4-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{16-5}{4}[/tex]
[tex]W_{b}=\dfrac{11}{4}\ pounds[/tex]
We need to calculate the weight of fourth basket
Using formula for weight
[tex]W_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W_{b}=5-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{20-5}{4}[/tex]
[tex]W_{b}=\dfrac{15}{4}\ pounds[/tex]
We need to calculate the combined weight of all the basket
On adding weight of all basket
[tex]W= W+W'+W''+W'''[/tex]
Put the value into the formula
[tex]W=\dfrac{3}{4}+\dfrac{7}{4}+\dfrac{11}{4}+\dfrac{15}{4}[/tex]
[tex]W=9\ pounds[/tex]
Hence, The combined weight of all the basket is 9 pounds.
What is the value of the expression – 57 - (-13 +33)?
-102
А
B
-3
с C
0 h
D
-73
Answer:
-77
Step-by-step explanation:
-57-(-13+33)
=-57-20
=-77
Consider the expression (Ex+6) – 3x
What is the value of the expression evaluated for x =
12?
0-26
0-25
12
46
Answer:
-26
Step-by-step explanation:
[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]
= [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]
= -26
the sum of 25 and z
Answer:
25+z
Step-by-step explanation
the sum is adding them?
The sum of the number 25 and the letter will be (25 + z).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of the number 25 and the letter is given by putting the plus sign between the number 25 and the letter z. Then the expression will be
⇒ (25 + z)
The sum of the number 25 and the letter will be (25 + z).
More about the Algebra link is given below.
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A school donated 283,482 cans of soup to a food kitchen if the food kitchen used 20000 cans of soup each month how many months can the foood kitchen make soup with the school donation
Answer:
14 months
Step-by-step explanation:
Here we are interested in calculating the number of months it will take the food kitchen to exhaust the 283,482 soup cans donated to it by a school of it uses 20,000 cans of soup.
This is pretty straightforward, trust me!
What needs to be done here is to simply divide the total number of soup cans donated by the school by the number of soup cans used by the food kitchen each month.
Mathematically, that would be;
283,482/20,000
A calculator would work here? Right?
And the division equals 14.1741
And to the nearest whole number, that is 14.
And yes there would surely be some left, carried over to the 15th month, but would that sustain them for the month? No
Which of these is not a scalar quantity A) time B) temperature c) velocity D) mass
Answer:
Hey there!
Velocity is a vector, not a scalar because it also has direction.
Let me know if this helps :)
Answer:
Velocity because it has direction
An emu that measures 22 inches long in height is 14 inches less than two times the height of a stuffed canary. What is the height of the stuffed canary?
4 inches
Step-by-step explanation:e - 14 = 2c
22 - 14 = 2c
2c = 8
c = 8 : 2
c = 4 in
Answer:
[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Let the height of the emu be [tex]e[/tex].
Let the height of the stuffed canary be [tex]s[/tex].
[tex]e=22[/tex]
[tex]e=2s-14[/tex]
Substitution method.
[tex]22=2s-14[/tex]
Solving for the height of the stuffed canary.
Adding 14 to both sides.
[tex]36=2s[/tex]
Dividing both sides by 2.
[tex]18=s[/tex]
The height of the stuffed canary is 18 inches long.
[tex]\rule[225]{225}{2}[/tex]
Termites live in the tropical rainforest breaking down dead and decaying plant material. As they break down the plant material they release methane, a greenhouse gas. Annually, 1,000 termites release approximately 500 grams of methane. Given a density of 3.5 X 106 termites per hectare, what is the annual amount of methane released, in kilograms, by the termites inhabiting a 3,000 hectare of tropical rainforest.
Answer:
Approximately 5,250,000 kg of methane would be released.
Step-by-step explanation:
Given: 1,000 termites release approximately 500 g of methane annually
3.5 x [tex]10^{6}[/tex] termites per hectare
Thus, population of termites inhabiting 3,000 hectares = number of termites per hectare x 3,000
= 3.5 x [tex]10^{6}[/tex] x 3,000
= 10 500 000 000
= 1.05 x [tex]10^{10}[/tex]
Since 1,000 termites release 500 g of methane, then 10 500 000 000 termites would release:
[tex]\frac{10500000000}{1000}[/tex] x 500 g
= 5250000000 g
But 1000 g = 1 kg, so that;
[tex]\frac{5250000000}{1000}[/tex]
= 5250000 kg
Approximately, 5,250,000 kg of methane would be released by termites inhabiting 3,000 hectares of tropical rain forest.
What is the difference between formal and informal geometry
Answer:
There is a sub-field of geometry called formal geometry which is related to algebraic geometry and deals with topics such as formal schemes , topological rings , the comparison theorem in algebraic geometry , the Grothendieck existence theorem.
Informal geometry have the topics of definitions, measurements, and constructions of geometric shapes and figures. No attention to formal proofs is given. Subtopics include points, lines, angles, triangles, quadrilaterals, circles, area, and perimeter.
Step-by-step explanation:
in the equation y= -2x -3 over 5, identify the slope, the y-intercept, and whether the line is rising, falling, horizontal, or vertical
(Select three that apply)
A. Slope = -3/5
B. Slope = 3/5
C. Slope = 2
D. Slope = -2
E. Y-intercept = 3/5
F. Y-intercept = -3/5
G. Y-intercept = 2
H. Y-intercept = -2
I. Rising
J. Falling
K. Horizontal
I. Vertical
Answer:
Slope = -2
y-intercept = -3/5
Falling
Step-by-step explanation:
[tex]y= -2x - \frac{3}{5} \\ y = mx + b[/tex]
m = Slope = -2
y-intercept = b =
[tex] - \frac{3}{5} [/tex]
The slope of the equation has a negative number so the graph is falling
Solve for v.
29 = -8v - 7 +5v
Answer:
v = -12
Step-by-step explanation:
if you combine like terms it is
29 = = -3v - 7
so then you add 7 to both sides
-3v = 36
then you divide both by -3 and you get v = -12
Answer:
v = -12
Step-by-step explanation:
First, add like terms.
29 = -8v - 7 + 5v
29 = -3v - 7
Solve for v:
36 = -3v
-12 = v
So, v = -12
4n-3=-2n+15 I need help finding the answer to this question
The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and the height of parallelogram.
Answer:
[tex] \boxed{ \bold{ { \sf{height \: = \: 17.29 \: cm}}}}[/tex]
[tex] \boxed{ \bold{ \sf{base = 51.87 \: cm}}}[/tex]
Step-by-step explanation:
Let the height of a parallelogram be 'x'
Base of a parallelogram be 3x
Area of a parallelogram ( A ) = 897 cm²
Base ( b ) = ?
Height ( h ) = ?
First, finding the height of a parallelogram ( x )
[tex]\bold{ \boxed{ \sf{area \: of \: a \: parallelogram \: = \: base \: \times \: height}}}[/tex]
[tex] \dashrightarrow{ \sf897 = 3x \times x}[/tex]
[tex] \dashrightarrow{ \sf{897 = 3 {x}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3 {x}^{2} = 897}}[/tex]
[tex] \dashrightarrow { \sf{ \frac{3 {x}^{2} }{3} = \frac{897}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{2} = 299}}[/tex]
[tex] \dashrightarrow{ \sf{x = \sqrt{299} }}[/tex]
[tex] \dashrightarrow{ \sf{x = 17.29}}[/tex]
Height of a parallelogram = 17.29 cm
Finding the base of the parallelogram
[tex] \sf{base \: of \ \: a \: parallelogram = 3x}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = \: 3 \times 17.29}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = 51.87 \: cm}[/tex]
Base of a parallelogram = 51.87 cm
Hope I helped!
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You earn $2,323 per month after taxes. Your monthly bills are as follows….Rent $870, food $754, child care $961, car $607 and taxes $242. How much must you earn in order to pay all of your bills? A.$3460 B.$4267 C.$4362 B.$3434
Answer: The answer would be d. 3434
Step-by-step explanation:
Pablo debe ordenar 350 sillas de un salón en filas y columnas. Cada fila tendrá 20 sillas. ¿Cuántas filas completas podrá formar? ¿Quedará alguna fila incompleta?, ¿con cuantas sillas? ¿Cómo representarías con una división el proceso?
Answer:
¿Cuántas filas completas podrá formar? 17 filas¿Quedará alguna fila incompleta? Si ¿Con cuantas sillas? 10 sillas¿Cómo representarías con una división el proceso? 350÷20= 17.5Step-by-step explanation:
La división es una operación matemática que consiste en averiguar cuántas veces un número está contenido en otro número. En otras palabras, dividir es repartir un número en grupos iguales.
En este caso, deseas repartir 350 sillas en filas, en las cuales entran 20 sillas. Entonces, para conocer cuántas filas completas podes formar haces la división: 350÷20= 17.5
Entonces, se podrán formar 17 filas completas y, al ser 17.5 un número decimal, indica que hay otra fila que quedará incompleta.
Para saber cuántas sillas tendrá la fila incompleta podes realizar el siguiente cálculo: 17 filas*20 sillas= 340, que indica que para completar las 17 filas usas un total de 340 sillas. Si tenes 350, entonces en la fila incompleta hay solo 10 sillas (obtenida mediante la operación 350-340= 10) de las 20 que debería haber, faltando otras 10 sillas para completarla.
Finalmente:
¿Cuántas filas completas podrá formar? 17 filas¿Quedará alguna fila incompleta? Si ¿Con cuantas sillas? 10 sillas¿Cómo representarías con una división el proceso? 350÷20= 17.5For the following, write an equivalent expression in standard form: (5x2 + 6x - 2) + 4x (3x – 7).
the 2 for the 5 x is an exponent
Answer:
17x^2 -22x -2
Step-by-step explanation:
5x^2 +6x -2 +4x (3x-7)5x^2 +6x -2 +12x^2 -28x17x^2 +6x -2 -28xAnswer: 17x^2 -22x -2Just so you know when I put (^) the number after it is a exponent.
PLEASE HELP: Complete the equation of a line through (-10, -7) and (-5, -9).
Answer:
find slope m
m=y2-y1/x2-x1
m=-9-(-7)/-5-(-10)
m=-9+7/-5+10
m=-2/5
y=-2/5 x+b ( find b at point (-10,-7)
-7=-2/5(-10)+b
-7=20/5+b
b=-7-4
b=-11
y=-2/5 x -11 slope intercept form
y-(-7)=-2/5(x-(-10)
y+7=-2/5(x+10) point slope form
7
10 points
Which statement is true?
O 65 is between 6 and 7 on a number line
65 is between 7 and 8 on a number line
142 is between 11 and 12 on a number line
5142 is between 14 and 15 on a number line
5 point
Please help me on this question
Answer: The filled out table is shown below
========================================================
Explanation:
We have three variables p,q, and r. So we'll have 2^3 = 8 different rows as this table indicates. The 8 rows is to ensure that we handle all possible T/F values for the three variables.
This is where things could get tricky, but I recommend listing four copies of T in the first column, and then four copies of F right below it. That takes care of column p. For column q, we'll have two copies of TTFF to get 8 values total. Then finally column r will have four copies of T,F repeated. This takes care of all possible combos to help fill out the rest of the table.
---------------
For the column labeled ~p, we'll basically flip everything you see in column p. If something is true, then flip it to false, or vice versa. This is the negation of p. The same will go for the ~r column as well.
For the ~p v q column, we'll do a disjunction between ~p and q. A disjunction is only false when both pieces are false; otherwise it's true. So ~p v q is only false when both ~p and q are together false. The v symbol stands for "or".
The last column is doing a conjunction between the (~p v q) column and the ~r column. A conjunction is only true when both pieces are true; otherwise it's false. It's effectively the reverse of a disjunction. The upside down v symbol stands for "and".
Again the filled out table is shown below. It might help to use a piece of paper to cover up some of the rows if things get too cluttered.
I need help with this question
Answer:
[tex]\frac{1}{5}[/tex] is the answer
Step-by-step explanation:
[tex]h(x)=\frac{x+3}{5} \\[/tex]
Substituting the -2 in place x
Therefore , h(-2) :
[tex]\frac{(-2)+3}{5} \\\frac{-2+3}{5}\\\frac{1}{5}[/tex]
Answer:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]h(x) = \frac{ x + 3}{5} [/tex]
value of X is given to us -2
so put it in the equation.
[tex]h(x) = \frac{ - 2 + 3}{5} [/tex]
[tex]h(x) = \frac{1}{5} [/tex]
so the value of x is 1/5
Hope it helps