Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: [tex]Perimeter=2(length+width)[/tex]
Putting values and making equation:
[tex]244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16[/tex]
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Martha compro 4kg de tomate y 2kg de frijol y pago con $130. Su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol. ¿Cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol
Answer:
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:
x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130
El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, en primer lugar despejas x de la segunda ecuación:
x= 85 -3*y
Reemplazando en la primer ecuación:
4*(85-3*y) +2*y=130
y resolviendo obtienes:
4*85 -4*3*y + 2*y=130
340 - 12*y + 2*y=130
-12*y + 2*y=130-340
-10*y=-210
y=(-210)÷(-10)
y=21
Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:
x=85 - 3*21
x=85 - 63
x=22
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol se debe realizar el siguiente cálculo:
4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
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I need these questions answered ASAP can you help me with 12,13,14 pls
Write the slope-intercept form of the following equation. Y +
2 = 3/2(x-4)
Answer:
y=3/2x-8
Step-by-step explanation:
Step 1: Begin by distributing the 3/2 to the parentheses. This would result with 3/2x-6.
Step 2: Subtract both sides by 2 to isolate the variable, y. This would result with y=3/2x-8.
Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?
Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
u = ⟨2, –3⟩v = ⟨1, –1⟩[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
Next, find the lengths of the vectors:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
u = ⟨2, –3⟩
[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]
[tex]=\sqrt{13}[/tex]
u = ⟨2, –3⟩
[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]
[tex]=\sqrt{2}[/tex]
Finally, the angle is given by:
[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
The Answer is A. 11.3
Step-by-step explanation:
got it right. Also thats just the letter answer :)
i need help passing geometry
4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED
Answer:
40.17
Step-by-step explanation:
4 ten: 4 × 10 = 40
17 hundredth: 17 × 0.01 = 0.17
4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17
Somebody plz help me I’m failing
Which graph represents the equation y = 3/4 x - 3
Answer:
Step-by-step explanation: you forgot to attach the file but it should look like this i think
Answer:
slope is 3/4
y-intercept is (0,-3) Thats where you put your first point on the y-inter on -3
x y
0 -3
4 0
Put your second point at 4 (on the x)
then your slope is rise /run 3/4
then you should get your line on your graph
Step-by-step explanation:
When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.
True
False
Answer:
true
Step-by-step explanation:
taking the test
When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way to solve. It is True.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
These values are called solution to that equation or inequality.
A Set of such values is called solution set to the considered equation or inequality.
When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.
The given statement for inequality is True.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ2
PLEASE HELP ME ASAP IM REALLY CONFUSED!!!
Answer:
AB and DE's length are congruent, meaning they are the same.
Step-by-step explanation:
If we made a line between C and F, and flip it on the other side. We would see it is congruent.
To get to the top of the mountain, Charlie drove 6 miles east and 8 miles south. Then he hiked the rest of the way to the top which was about 2 miles high. Assuming Charlie started at (0, 0, 0), what is the total distance he traveled to the top of the mountain?
a.) 8.7 miles
b.) 12 miles
c.) 10.2 miles
d.) 16 miles
Answer:
actually it's 10.2 miles
Step-by-step explanation:
he drove six miles at first and than 8 miles south, afterwards he hiked the rest of the way to the top.
YO I NEED HELP WITH THIS ASAP!!!!! ITS WORTH A LOT OF POINTS!!!!! PLS LOOKS AT THE ATTACHMENT BELOW!
Answer:
1. (0,5)
2. 3 / -1
3. F(x) = -3x + 5
A plane is 20,000 ft. In the air and descending at a rate of 25 ft. Per minute. Write an equation to represent this situation where y is the height of the plane after x minutes.
Answer:
y=20000-25xStep-by-step explanation:
Step one:
given data
initial height of plane= 20000ft
rate of descending= 25ft per minute
let x be the number of minutes it took the plane to descend
and let y be the height after x minutes
Step two:
Required
the mathematical expression for the height
the expression for the situation mathematically is
y=20000-25x
96 =-8(p-5)
help pls
Answer:
p = −7
Step-by-step explanation:
96=−8(p−5)
96=(−8)(p)+(−8)(−5)(Distribute)
96=−8p+40
Step 2: Flip the equation.
−8p+40=96
Step 3: Subtract 40 from both sides.
−8p+40−40=96−40
−8p=56
Step 4: Divide both sides by -8.
−8p /−8 = 56 /−8
function: f(x) = 2x + 1
It x = 0, what is the y output?
Answer:
1
Step-by-step explanation:
i think i helped successfully
Answer:
y= 1
Step-by-step explanation:
In the equation, the 1 means that it's the y-intercept
And whenever x is 0, then the y value is the y-intercept
So since x=0, then y=1
The world record for scuba diving is 318 meters below sea level. How would this look written as an integer?
A. 318 meters
B. -318 meters
C. 0 meters
D. +318 meters
Step-by-step explanation:
I believe it will be B. -318 meters
not entirely sure but that's what I think so hope this help and sorry if I'm wrong
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
determine the type of triangle
Which of the following does not have the same value as 15 ^6
Answer:
B
Step-by-step explanation:
(15^3)^3 because the exponent outside of the parentheses multiplies both the 15 and the exponent inside the parentheses, so it's not 15^6, its 15^2 ^6
what are the integers of 58
Answer:
{1,2,29,58}
Step-by-step explanation:
As the only factors of 58 are {1,2,29,58} , there are no two consecutive integers whose product is 58
Answer:
1,2,29.58
Step-by-step explanation:
:)
What is percent decrease 2.26 to 0.98
What is 80% as a fraction in reduced form? 4 118 * 10 O
Answer:
4/5 make me brainliest
Step-by-step explanation:
Answer:
B. 4/5
Step-by-step explanation:
We know that 80% as a fraction is 8/10, but that is not simplified. Both of the numbers have a common factor. We need to divide both by the GCF (Greatest Common Factor). The GCF of both numbers is 2. 8/2 is 4, and 10/2 is 5. That means the answer is 4/5. I hope this helps!
graph the inequality y is greater then or equal to 3x-1
WILL MARK BRANLIEST
(also ik that i could used the inequality sign but it won't let me type it into the question)
i just need to know the ordered pairs pls help
Answer:
Ok so its (0,-1),(0.333,0)
Step-by-step explanation:
Can someone please tell me what range and domain is. and how to tell what an independent and dependent variable are please
Answer: The dependent variable is the Y axis of a graph, or the side of the graph that is vertical. The independent variable is the X axis of a graph, or the side of the graph that is horizontal. Domain is the input of a mathematical function, and the range is the output!
Hope this helps :)
range is the difference between the largest and smaller; “ To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.”
domain is the set of all possible x-values which will make the function able to work and will output real y-values. You must remember that in a function x can NEVER have more than one output (y)
“A independent variable is a variable (often denoted by x ) whose variation does not depend on that of another”. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable
“A dependent variable is a variable (often denoted by y ) whose value depends on that of another.” The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
I hope that was understandable
189 is 90% of what number
Answer:
I believe the answer is 210.
Step-by-step explanation:
Answer:
Assume the unknown value is 'Y'
189 = 90% x Y
189 =
90
100
x Y
Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:
Y = 3 x
100
90
Y = 210%
Answer: 189 is 90 percent of 2
Step-by-step explanation:
theres a another way
189x100÷90 which your answer will give 210
All of the students in the sixth grade either purchased their lunch or brought their lunch from home on Thursday.
65% of students purchased their lunch
63 students brought their lunch from home
How many students are in the sixth grade?
O A 98
B. 106
O C. 180
D. 240
I’ll mark you brainlist
Answer:
3
Step-by-step explanation:
Y OVER X is the answer .
Question 5
On problem #18, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation
Can someone please please please help me!
If you are framing a photo that is 4in by 7 in, and you want the frame to be the same width all around, and the total area of the frame and the photo is 130in squared, what is the width of the photo?
Answer:
3.36in
Step-by-step explanation:
The total surface area of the cardboard is expressed as;
TSA = 2(LW + LH + WH)
L is the length = 4in
W is the width
H is the height = 7in
TSA = 130in²
Substitute the given values into the formula and get the width W
TSA = 2(LW + LH + WH)
130 = 2(4W+4(7) + 7W)
130 = 2(11W+28)
130 = 22W+56
22W = 130 - 56
22S = 74
W = 74/22
W = 3.36in
hence the width of the photo is 3.36in
PLS ANSWER I HAVE TO FINISH MY TEST BY THE END OF CLASS WHICH IS IN 5 MIN!!! I WILL GIVE BRAINLIST!!!!!!
Geno invested $2,000 into an account that earns 8.5% interest compounded annually. How much interest will Geno earn after 3 years?
A. $554.58
B. $513
C. $2,513
D. $2,554.58
Answer:
8.5% interest would yield $170 annually for a total interest earnings of $513
Step-by-step explanation: