Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
help pls!!!!!!!!!!!!!
The percentages, from left to right, are:
1) 56.25%
2) 18.75%
3) 18.75%
4) 6.25%
How to get the percentages?In this case, the 100% is 16.
We know that there are 9 individuals with black fur and black eyes, so we can write the equations:
100% = 16
X% = 9
We want to find the percentage X%. By combining these equations we get:
X% = (9/16)*100% = 56.25%
Now we can use the same equations for the other genotypes.
There are 3 units with black fur and red eyes, here the percentage is:
p = (3/16)*100% = 18.75%
There are 3 units with white fur and black eyes, so the percentage is:
p = (3/16)*100% = 18.75%
There is 1 unit with white fur and red eyes, so the percentage is:
p = (1/16)*100% = 6.25%
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if the scientific notation is 9.63x10^-3 what would it look like in standard form? MARKING BRAINLIEST!!!!
Answer:
.00963
Step-by-step explanation:
Since its 10^-3, the decimal point moves to the left 3 times. hope this helped :)
the movie theater has 250 seats 200 seats were sold for the current showing what percent of seats of seats are empty
Answer:
80%
Step-by-step explanation: Because if 20% of 250 equal 50 then 200 is 80% because adding 4 50 is 200.
Answer:
80%
Step-by-step explanation:
what ever he /she said
Pls help it timed!!!!
Answer:
its subtraction property of equality
Step-by-step explanation:
it shows that the 3/4 next to the 16 was subtracted on both sides to cancel out on of the other 3/4 on the other side...
i uploaded a pic just incase u didnt understand
Hope this helps!!!
Mariana is choosing a beverage to drink. She wants a beverage with no more than 3 grams of sugar per ounce. Which beverages meet Mariana's requirements?
Answer:
Step-by-step explanation:
The main beverage that would easily meet Mariana's requirements would be water as it contains no sugar. Other than these two flavored options that she can choose from would be to make home-made Ice-tea or lemonade. Therefore, she can choose the amount of sugar to add without going over her own requirements, but still having a delicious beverage to drink.
true Or false
1.inequalities are similar to equations
2.you never isolate the variable in an inequality '
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
7÷7/11=
Please explain for me
Answer:
11
Step-by-step explanation:
You have to first make the 7 into a fraction (7/1) then keep, change, flip.
You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!
Final answer:11
True or False. Horizontal translations move a graph up and down.
Answer:
false
Step-by-step explanation:
horizontal is left and right
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?
Answer:
25\100*500=125
1/3*125=41.66
41.66 millilites is left in the bottle
Step-by-step explanation:
what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -3
x = -2y - 1
Step 2: Solve for y
Substitution
Substitute in x: 3(-2y - 1) + 4y = -3Distribute 3: -6y - 3 + 4y = -3Combine like terms: -2y - 3 = -3Isolate y term: -2y = 0Isolate y: y = 0Step 3: Solve for x
Define equation: x = -2y - 1Substitute in y: x = -2(0) - 1Multiply: x = 0 - 1Subtract: x = -1Find the value of X and Y
Answer:
Answer: x=4, y=10
Step-by-step explanation:
Lines and Angles
When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.
We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.
Linear angles always add up to 180°
We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:
29x - 3 + 15x + 7 = 180
Simplifying:
44x +4 = 180
Subtracting 4:
44x = 176
Dividing by 44:
x = 176/44
x = 4
Now below the horizontal line, we find other pair of linear angles, thus:
13y - 17 + 15x + 7 = 180
Substituting x=4:
13y - 17 + 60 + 7 = 180
Simplifying:
13y + 50 = 180
Subtracting 50:
13y = 180 - 50 = 130
Dividing by 13:
y = 130/13 = 10
y = 10
Answer: x=4, y=10
HELP!!!! I have never seen this. I will award big brain.
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
Lin found the area of a rectangle with a of length 5 in and a width of 3 inches, to be 15 square inches. Lin creates another rectangle that is a scaled copy with a scale factor of 2. What is the area of the new rectangle? How did you find it?
Answer:
60in^2Step-by-step explanation:
Step one:
given data
lenght L= 5in
width W= 3 in
area= L*W
area= 5*3= 15in^2
Step two:
The rectangle was scaled by 2, this means that the dimensions were doubled
therefore the lenght and width will be
L=5*2= 10
W=3*2= 6
hence the area is
Area= 10*6= 60in^2
How many 1/5s are there in 8/10?
Please answer right away helpers!!!
The time is ticking by now.
4/5=8/10, therefore the answer is 4
z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32
For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make the
inequality a true statement when substituted for "n"? (The integers for -10 through 10 are shown below.)
{-10,-9,-8, -7,-6, -5, -4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
HELP PLEASE HURRY
ILL GIVE 30 POINTS AND MOST BRAINLIEST
Answer: -10, -7, -5, -2, -1, 3, 4, 8, 9
Step-by-step explanation:
At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?
Answer:
24 buses.
Step-by-step explanation:
10 minutes equals 4 buses.
There is a total of 60 minutes, so 60 ÷ 10 = 6.
Then 4 × 6 = 24 buses.
f) Cosec2A + Cot4A = CotA – Cosec4A
Answer:
True (the sides are equal)
I hope this helps!
Fill in the blank pls
Step-by-step explanation:
Factors
hope it helpful
480/____=80
what does ____=???
Please help me thank you
Answer:
the answer is A
Step-by-step explanation:
they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A
Find x such that f(x) = 10 given f(x) = 4x+2
Answer:
x=2
Step-by-step explanation:
So you make the equation equal. f(x)=10 so you would put it as 10=4x+2, than you subtract two from both sides making it 8=4x and than divide both sides by 4 making it 2=x.
Answer:
[tex]\boxed {\boxed {\sf x=2}}[/tex]
Step-by-step explanation:
We know that:
[tex]f(x)=4x+2 \\f(x)= 10[/tex]
Both 4x+2 and 10 are equal to f(x). We can use substitution and set 4x+2 and 10 equal to each other.
[tex]4x+2=10[/tex]
Now, solve for x. Perform the inverse operations to isolate x on one side of the equation.
2 is being added to 4x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.
[tex]4x+2-2=10-2[/tex]
[tex]4x=10-2 \\[/tex]
[tex]4x=8[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{8}{4}[/tex]
[tex]x=\frac{8}{4}[/tex]
[tex]x=2[/tex]
For the function f(x)= 4x+2, when f(x)=20, x=2
Tyler converted 0.0000783 to scientific notation.
0.0000783 = 78.3 x 10-6
is he correct?
Let's convert your number to scientific notation.
0.0000783
Move the decimal point 5 places to the right.
7.83*10−5
Answer:
7.83 * [tex]10^{5}[/tex]
Answer: No , the coefficient should be 7.83
Step-by-step explanation:
I need the value of X
Answer:
x=36
Step-by-step explanation:
By vertical angles we know that
[tex]72 = 2x\\\\x=\frac{72}{2}\\\\x=36[/tex]
Answer:
x = 36
Step-by-step explanation:
72 and 2x are vertical angles, so they are equal.
2x = 72
2x/2 = 72/2
x = 36
What property should you use first to solve 14+c=39
Answer:
Subtraction
Step-by-step explanation:
Mr. Martinez is buying food for a party. Hamburger patties are sold in packages of 6 and hamburger buns are sold in packages of 8. If he wants to have an equal number of each, what is the LEAST number of hamburger patties and buns that Mr. Martinez will have to buy?
Enter the correct answer in the box.
Answer:
24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.
Step-by-step explanation:
You need to find the LCM of 6 and 8. The number they have first have common is 24
A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.
Answer:
[tex]5\frac{1}{3}[/tex] cups of carrot.
Step-by-step explanation:
Let's set up proportional equation.
6 people need 2 cups of carrots
Let 16 people need x cups of carrots.
We could form ratio for number of people to cups of carrot used as
6:2
16:x
So, proportional equation would be
[tex]\frac{2}{6} =\frac{x}{16}[/tex]
Cross multiply
32=6 x
Divide both sides by 6.
x=[tex]\frac{32}{6}[/tex]
Divide to get mixed number
x=5[tex]\frac{2}{6}[/tex]
Simplify the fraction
x=[tex]5\frac{1}{3}[/tex] cups of carrot.
Which of the sets of ordered pairs represents a function? (1 point)
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
Answer:
Conclusion:
Both sets represent the function.
Step-by-step explanation:
We know that a function relates an input to an output.For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function
h (age) = age × 10
Thus, if the age of the plant is 2 years, the height is:
h(10) = 2 × 10 = 20 cm
Set P
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are 6, 3, -9, and -5.
Thus, there are no duplicated inputs or x-values.
Therefore, the set P of ordered pairs represents a function.Set Q
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are -7, 4, -3, and 1.
Thus, there are no duplicated inputs or x-values.
Therefore, the set Q of ordered pairs also represents a function.Conclusion:
Both sets represent the function.
Darnell created a scale drawing of the community garden in his town. The actual garden is 20 feet long. Darnell's scale drawing of
the community garden is 4 inches long
What scale did Darnell use to draw the garden?
O 2 inches equal 5 feet
o 1 inch equals 5 feet
o inch equals 1 foot
O 1 inch equals foot
The scale that Darnell used is required.
The scale that Darnell used is 1 inch equals 5 feet.
Scale diagrams
The length of the actual garden is 20 feet.
The scale drawing is 4 inches long
[tex]20\ \text{feet}=4\ \text{inches}[/tex]
Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]
[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]
[tex]1\ \text{inch}=5\ \text{feet}[/tex]
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