Answer:
6- 8- 10 triangle with 10 as the hypotenuse
Step-by-step explanation:
In any right triangle the hypotenuse must be the longest side.
This is only true for the 6- 8- 10 with 10 as the hypotenuse.
Also using Pythagoras' identity
6² + 8² = 10²
solve for x. -0.45x + 0.15x=8.1
Answer:
x = - 27
Step-by-step explanation:
Hi !
- 0.45x + 0.15 = 8.1
- (0.45x - 0.15) = 8.1
- (0.30x) = 8.1
- 0.3x = 8.1
x = 8.1 : (- 0.3)
x = 81/10 : (-3/10)
x = 81/10 × (-10/3)
x = - 81/3
x = - 27
Good luck !
Identify the slope of the following equation . 5x+6y=4
Answer:
5/6
Step-by-step explanation:
Move the variable to the right
Divide both sides
Reorder terms
Therefore, the slope is 5/6. Let me know if you want me to clarify.
Jake tosses a coin up in the air and lets it fall on the ground. The equation that
models the height (in feet) and time (in seconds) of the parabola is
h(t) = -16t2 + 24 + 6. Approximate the time at which the coin hits the
ground.
Answer:
[tex]t = 1.71825[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 24t + 6[/tex]
Required
When will the coin hit the ground
When the coin hits the ground, [tex]h(t) = 0[/tex]
The expression [tex]h(t) = -16t^2 + 24t + 6[/tex] becomes
[tex]0 = -16t^2 + 24t + 6[/tex]
Multiply through by -1
[tex]16t^2 - 24t - 6 = 0[/tex]
Solve using quadratic formula
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex]
[tex]b = -24[/tex]
[tex]c = -6[/tex]
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}[/tex]
[tex]t = \frac{24\±\sqrt{576 +384}}{32}[/tex]
[tex]t = \frac{24\±\sqrt{960}}{32}[/tex]
[tex]t = \frac{24\±30.984}{32}[/tex]
Split
[tex]t = \frac{24+30.984}{32}[/tex] or [tex]t = \frac{24-30.984}{32}[/tex]
[tex]t = \frac{54.984}{32}[/tex] or [tex]t = \frac{-6.984}{32}[/tex]
[tex]t = 1.71825[/tex] or [tex]t = -0.21825[/tex]
But time can't be negative;
So:
Time to hit the ground is 1.71825 seconds
The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.
What is the constant of proportionality?
A.) 0.67
B.) 1
C.) 1.5
D.) 2
Answer:
d i think
Step-by-step explanation:
Answer:
I believe it's CStep-by-step explanation:
correct me if I'm wrong
simplify : 4(-7c+5d)+5-2(5+9d)
Step-by-step explanation:
use -2 to open d bracket
4(-7c+5d)+5-10-18d
use 4 to open d bracket
-28c+20d+5-10-18d
re arrange
-28c+20d-18d+5-10
-28c+2d-5
note: - doesnt start an equation so rearrange
=+2d-28c-5
-20(-8)=
Someone please help me with integers! :(
Answer:
160
Step-by-step explanation:
This is the answer because:
1) Whenever there are two negative factors, the answer will be a positive
- x - = +
Hope this helps!
On Friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. On Saturday, their lane rentals were down by StartFraction 1 over 8 EndFraction but the concessions increased by One-half. What is the total amount that the bowling alley earned in lane rentals and concessions on Friday and Saturday?
Answer:
The real answer is D 2,611.05
Step-by-step explanation: You can trust a me ok?
Answer:
d
Step-by-step explanation:
solve for h please!!!! help!
Answer:
h=3U
Step-by-step explanation:
flip the equation
U=1/3h
multiply both sides by 3 to get h by itself
U (3) and 1/3h (3)
h=3U
Which is the function represented by the table?
Answer:
the first one is correct
Step-by-step explanation:
Thus f(x)= -2x+1
A manatee dives at a rate of 4 feet per second. What integer represents the change in the manatee’s position after 20 seconds?
Answer:
i am just trying so 4 x20=80 feet
Step-by-step explanation:
i am not sure what is an integer i havent learned it yet.
Is the square root of 8 greater than, less than, or equal to 4 ?
Answer:
√8 is less than 4Step-by-step explanation:
We need to compare √8 and 4
To compare the numbers they should both be in the same format
√8 is not a perfect square so we'll put number 4 under root
4 = √4² = √16Now we compare
√8 < √16So √8 is less than 4
Question 1 (1 point)
The system of equations y = -2x + 3 and y = 2x – 5 has
Exactly one solution
Exactly two solutions
Infinitely many solutions
No solutions
Answer:
one solution
Step-by-step explanation:
they have different slopes and are linear
Use the GCF and the distributive property to find the expression that is
equivalent to 27 + 36.
A. 3(9 +12)
B. 9(3+4)
C. 2(9 +18)
D. 9(3+3)
ANSWER FAST ITS TIMED
Eric had 15.3 feet of fishing line. He cut off a piece and had 38.4 inches left. How long was the piece he cut off?
Answer:
x = 145.2
Step-by-step explanation:
Convert 15.3 ft to inches = 183.6
Exquation:
183.6 - x = 38.4
-x = 38.4 - 183.6
-x = -145.2
x = 145.2
which polynomial represents the area of the shaded region with the fewest terms?
Answer:
14x-85
Step-by-step explanation:
The area of the shaded region is
[tex](x + 6)(x - 6) - {(x - 7)}^{2} [/tex]
which if you use the identities to expand it gives you
[tex] {x}^{2} - 36 - {x}^{2} + 14x - 49[/tex]
This then reduces to be
[tex]14x - 85[/tex]
A local gym charges a $100 initial membership fee and $19 for each month you stay a member. What are the x and y intercepts?
Answer:
y-intercept = 100x- intercept = -5.26Step-by-step explanation:
$100 initial membership fee $19 monthly feeFunction of relationship:
y = 19x + 100y- intercept:
x =0 ⇒ y = 19*0 + 100 ⇒ y = 100x - intercept:
y = 0 ⇒ 0 = 19x + 100 ⇒ 19x = -100 ⇒ x = -100/19 ⇒ x = -5.26Is K a variable, an equation, a constant, or a formula?
Answer:
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Step-by-step explanation:
what is 3 5/9 minus 2 1/3
Answer:
11/9 or 1 2/9
Step-by-step explanation:
3 5/9=32/9
2 1/3=7/3
LCM is 9
7/3=21/9
32/9-21/9
=11/9
=1 2/9
Beatriz tiene el triple de la edad de Rocio.
Jesus tiene cinco veces mas años que Rocio.
Entre beatriz y Jesus suman 32 anos.
a- A partir de la edad de Rocio, escribe la edad de Beatriz y la de Jesus.
b-Expresa la suma de la edad de Beatriz y de Jesus. Añade el resultado.
c-Extrae como factor comun el numero que representa el simbolo.
d-Cuantos años tiene Rocio? Y cuantos años tienen Beatriz y Jesus?
Answer:
a) Beatriz: [tex]y = 3\cdot x[/tex], Jesús: [tex]z = 5\cdot x[/tex], b) [tex]y+z = 32[/tex], c) El símbolo (edad de Rocío) queda representado en el siguiente factor común: [tex](3+5)\cdot x = 32[/tex], d) Rocío tiene 4 años de edad, Beatriz tiene 12 años de edad y Jesús tiene 20 años de edad.
Step-by-step explanation:
a) Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] las edades de Rocío, Beatriz y Jesús. Después de una lectura cuidadosa al enunciado:
(i) Beatriz tiene el triple de la edad de Rocío.
[tex]y = 3\cdot x[/tex] (Ec. 1)
(ii) Jesús tiene cinco veces más años que Rocío.
[tex]z = 5\cdot x[/tex] (Ec. 2)
b) Seguimos la misma estrategia del punto a):
Entre Beatriz y Jesús suman 32 años.
[tex]y+z = 32[/tex] (Ec. 3)
c) Sustituimos [tex]y[/tex], [tex]z[/tex] en (Ec. 3):
[tex]3\cdot x + 5\cdot x = 32[/tex]
[tex](3+5)\cdot x = 32[/tex]
[tex]8\cdot x = 32[/tex]
[tex]8\cdot x = 8\cdot 4[/tex]
[tex]x = 4[/tex]
El símbolo (edad de Rocío) queda representado en el siguiente factor común: [tex](3+5)\cdot x = 32[/tex]
d) Tal como desarrollamos en el punto c), Rocío tiene 4 años de edad.
Las edades de Beatriz y Jesús se obtiene por sustitución directa:
Beatriz
[tex]y = 3\cdot x[/tex]
[tex]y = 3\cdot 4[/tex]
[tex]y = 12[/tex]
Beatriz tiene 12 años de edad.
Jesús
[tex]z = 5\cdot x[/tex]
[tex]z = 5\cdot 4[/tex]
[tex]z = 20[/tex]
Jesús tiene 20 años de edad.
7(x-2) - 3x + 5 = -2 (5x-4) + 4
Please help asap! - xxx
Answer:
x=
2
3
=1.500
Step-by-step explanation:
(((7•(x-2))-3x)+5)-((0-2•(5x-4))+4) = 0
STEP
2
:
Equation at the end of step 2
((7 • (x - 2) - 3x) + 5) - (12 - 10x) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
14x - 21 = 7 • (2x - 3)
Equation at the end of step
4
:
7 • (2x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 7 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
Answer:
x = 1.5
Step-by-step explanation:
Step 1: you distribute what is on the outside of the parenthesis to EVERYTHING on the inside of the equation which will leave you with
7x-14-3x+5=-10x+8+4
Step 2: Combine your like terms. You have to add all the X's on the left side first, then your whole numbers. After that, you go to the right side and do the same thing. This should leave you with 4x-9=-10x+12
Step 3: get x to one side of the equation. You do the opposite of what the x is on the right. So you would add 10x on both sides. This should leave you with 14x-9=12
Step 4: You do the opposite of the whole number on the left to both sides/ add 9 to both sides. This should leave you with 14x=21
Step 5: you now divide both sides by 14 because 14x is a multiplication problem, and you need to do the opposite. So you should finally get
X=1.5
Which set of number include only whole numbers?
Answer:
123
Step-by-step explanation:
what is 2.035 in expanded form?
Answer:2.000+30+5
Step-by-step explanation: I hope this helped
In a decimal number, the expanded form shows the mathematical formula for the sum of the values of each digit.
The expanded form for 2.035 [tex]\mathbf{= (2) + (0) + (0.03) + (0.005)}[/tex]
The expanded form of 2.035 can be calculated by multiplying the number without fraction before the decimal point and multiplying with fraction in the power of tens after the decimal point.
i.e.
[tex]\mathbf{= (2 \times 1) + (0 \times \dfrac{1}{10}) + (3 \times \dfrac{1}{100}) + (5 \times \dfrac{1}{1000})}[/tex]
[tex]\mathbf{= (2) + (0) + (0.03) + (0.005)}[/tex]
In conclusion, the expanded form for 2.035 [tex]\mathbf{= (2) + (0) + (0.03) + (0.005)}[/tex]
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Talia took the bus from her home to the bank and then walked back to her home along the same route. The round trip took 0.9 hours total. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. Use the table to complete these statements.
The rate of Trip 2 is
km/h.
The time of Trip 1 is
hours.
Answer:
The rate of Trip 2 is 5 km/h.
The time of Trip 1 is 0.9-x hours.
Step-by-step explanation:
right on edg 2020
Evaluate 64^1/2 x 10^-2
Give your answer as a fraction in its simplest form.
Answer:
The answer is two over twenty five
The solution of the given expression [tex](64)^\frac{1}{2} \times 10^{-2}[/tex] will be 2 / 25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is [tex](64)^\frac{1}{2} \times 10^{-2}[/tex] . The solution of the expression is done as below:-
E = [tex](64)^\frac{1}{2} \times 10^{-2}[/tex]
E = √64 x 10⁻²
E = 8 x 10⁻²
E = 8 / 10²
E = 8 / 100
E = 2 / 25
Therefore, the solution of the given expression [tex](64)^\frac{1}{2} \times 10^{-2}[/tex] will be 2 / 25.
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Yeah Convert to milliliters 6 liters
Answer:
6000 millilitres
Step-by-step explanation:
there is 1000 millilitres per litre.
What is the measure of angle 1?
Answer:
140.25°
Step-by-step explanation:
Angle 1 and Angle (3x+12) share the exact same angle since they are congruent. Knowing this, you can replace angle 1 with (3x+12). Math tells you that supplementary angles are two angles that add up to 180 degrees.
(x-3) and (3x+12) are supplementary. Since they are supplementary and math tells me that two angles add up to 180. I can add (x-3) and (3x+12). But to finish the equation, both of these angles must equal 180.
Your equation should look something like this (it should look like this):
[tex](x-3)+(3x+12)=180[/tex]
From there you can simplify and isolate the x value to solve for x. Your x value is 42.75. But, we are not done here.
Now that we know x, which is just a placeholder, we must replace the placeholder with its actual numerical value (42.75).
3(42.75) + 12 = 140.25.
To make sure both angles equal up to 180.
Replace all x's with 42.75 and you will see that they equal 180.
[tex](3(42.75)+12)+(42.75 - 3) = 180[/tex]
[tex]180=180[/tex]✅
Answer:
C. 126
Step-by-step explanation:
I just did this quick check and this was the correct answer. Glad to help.
(The answer placement may be different depending on the test but the answer is still 126)
A rectangular box with a square base has a length and width equal to w. The sum of the length,width, and height of the box is 30 inches. Which of the following functions represents the volume of the box
Answer:
YOU can Mulit the width to length then the height then hold that together that your answer
Step-by-step explanation:
help please! really appreciate it
Answer:
x=26
Step-by-step explanation:
exterior angles theorem meaning they're equal to each other.
5x+7=8x-71
add 71 to 7
5x+78=8x
subtract 5x from 8x
78=3x
divide 78 and 3
x=26
to check your work plug 26 into each equation:
5(26)+7= 137°
8(26)-71= 137°
because they're the same you know that x must equal 26
hope this helps!❤
Write an algebraic expression for the verbal expression the sum of g squared and four.
Answer:
g^2 + 4
I literally do not know how to explain it. I solved this problem with the clues like sum and squared. I looked at where these words were located.
The algebraic expression for the sum of g squared and four is g^2 + 4.
The given statement is "the sum of g squared and four".
We need to write an algebraic expression for this statement.
What are the common algebraic signs?- Sum = add = +
- Difference = minus = -
- Divide = ÷
- Squared = [tex]x^{2}[/tex]
- cube = [tex]x^{3}[/tex]
- Square root = [tex]\sqrt{x}[/tex]
We have,
"the sum of g squared and four".
Let us separate it into two parts:
g squared - [tex]g^{2}[/tex]
Four = 4
Sum = +
So we have,
Sum of g squared and four = [tex]g^{2}[/tex] + 4.
Thus the algebraic expression for the sum of g squared and four is [tex]g^{2}[/tex] + 4.
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Can someone Help me with this question ASAP!
Answer:
A =5
Step-by-step explanation:
From the Pythagorean theorem
Answer:
The perimeter is 30ft
Step-by-step explanation:
[tex]a^2+12^2=13^2\\a^2=13^2-12^2\\\sqrt{a^2}=\sqrt{25}\\a=5\\\\5+12+13=30[/tex]