Answer:
66
Step-by-step explanation:
to find the area of a triangle it is base times height at a 90 degree angle divided by to so
11x12 then divide by 2 = 66
Rina is 6x + 3:8 feet tall and Ryan is 5x + 1/8 feet tall. How much taller is Rina than Ryan?
Answer: Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.
Step-by-step explanation:
Given, the height of Rina = [tex]6x+\dfrac{3}{8}[/tex] feet
The height of Ryan = [tex]5x+\dfrac{1}{8}[/tex] feet
To find : How much taller is Rina than Ryan?
Clue : Rina is taller than Ryan.
For that , we need to check the difference of the height between Ryan and Rina
i.e. (height of Rina) - (height of Ryan)
[tex]=6x+\dfrac{3}{8}-(5x+\dfrac{1}{8})\\\\=6x+\dfrac{3}{8}-5x-\dfrac{1}{8}\\\\=x+\dfrac{3-1}{8}\\\\=x+\dfrac{2}{8}\\\\=x+\dfrac{1}{4}[/tex]
Hence, Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.
If x = 5, find the value of
a) x2
b) (x + 3)2
Answer: a) = 10
b) = 16
Step-by-step explanation:
a) as x = 5 so putting the value of x in given equation
5 multiplied by 2 is equal to 10
b) Putting value of x in given equation
= (5 + 3) 2
According to BODMAS solve the brackets first
= 8 x 2
= 16
How many solutions does this equation have?
–2 − 10z = –4 − 10z
Answer:
No solutions
Step-by-step explanation:
To find out how many solutions there are you must solve:
- 2 - 10z = - 4 - 10z
Add 10z to both sides:
-2 = -4
Since the two terms are different from one another, that means that there are no solutions for this equation.
Rewrite as a simplified fraction.
2.31 with the 1 repeating
Answer: [tex]\frac{104}{45}[/tex]
Step-by-step explanation:
[tex]2.31^-[/tex]
Let x be equal to that.
[tex]x=2.31^-[/tex]
Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.
[tex]10x=2.31^-*10[/tex]
This basically moves the decimal point one number to the right.
[tex]10x=23.11^-[/tex]
Subtract the first equation from this new equation.
[tex]10x=23.11^-\\-x=2.31^-[/tex]
--------------------------
The repeating decimal is eliminated and we are left with:
23.1
- 2.3
---------
20.8
We also have 10 - 1 = 9. We are left with:
[tex]9x=20.8[/tex]
Divide by 9.
[tex]x=\frac{20.8}{9}[/tex]
To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.
[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]
[tex]x=\frac{208}{90}[/tex]
Let's simplify.
208/2=104
90/2=45
[tex]x=\frac{104}{45}[/tex]
Please help!!!!!!!!!!!!!!!!!
Answer:
tan Z = 3/4
Step-by-step explanation:
[tex] \tan(Z) = \frac{21}{28} \\ \tan(Z) = \frac{3}{4} [/tex]
Determine which function is a solution to the differential equation xy ' + 2y = 0.
e^2x
x^2
x^-2
None of these
Thus far, I have ruled out option a.
Thank you!
Answer:
x⁻²
Step-by-step explanation:
If y = e²ˣ, y' = 2e²ˣ.
2xe²ˣ + 2e²ˣ ≠ 0
If y = x², y' = 2x.
2x² + 2x² ≠ 0
If y = x⁻², y' = -2x⁻³.
-2x⁻² + 2x⁻² = 0
The x^-2 function is a solution to the differential equation
[tex]xy ' + 2y = 0.[/tex]
We have given,
The differential equation[tex]xy ' + 2y = 0.[/tex]
What is the differential equation?A differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx.
If [tex]y = e^{2x}, y' = 2e^{2x}.[/tex]
[tex]2xe^2x + 2e^2x[/tex]≠0
If [tex]y = x^2, y' = 2x.[/tex]
[tex]2x^2 + 2x^2[/tex]≠0
If[tex]y = x^-2, y' = -2x^-3.[/tex]
[tex]-2x^-2 + 2x^-2= 0[/tex]
Therefore, the x^-2 function is a solution to the differential equation
[tex]xy ' + 2y = 0.[/tex]
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Taylor has a box that contains 3 pennies, 5 nickels, and 2 quarters. If she chooses a coin out of the box without looking, and then without replacing it draws a second coin, what is the probability that both coins will be quarters?
Answer:
1/45
Step-by-step explanation:
There is 10 total coins and only 2 are quarters so that's 2/10 but one is taken out so now its 1/9 because we think its a quarter. Multiply 2/10 x 1/9 and you get 2/90 simplify it and you get 1/45
A person jogs 1/2 mile in 1\8 hour. What is the persons speed per hour
Answer:
4 miles per hour is the speed
Answer: 4 miles per hour
Step-by-step explanation:
distance=1/2miles=0.5miles
time=1/8hours=0.125hours
Speed=distance ➗ time
Speed =0.5 ➗ 0.125
Speed =4 miles per hour
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Answer:
C
Step-by-step explanation:
[tex]y=x^2+2x+1[/tex]
[tex]y=(x+1)^2[/tex]
This parabola has a center of (-1,0), and has not been dilated, meaning that the answer is choice C. Hope this helps!
A square has an area of 9 cm^2. What is the length of each side?
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
Answer:
The lines represent the inequalities .
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The inequalities are as follows.
a. x – 5y < –5 and y < –2x – 4
b. x + 5y > 5 and y < 2x + 4
c. x – 5y < –5 and y < –2x + 4
d. x + 5y > 5 and y < 2x – 4
Step-by-step explanation:
The blue line intersects y-axis at , therefore the y-intercept is 4.
The blue line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = 2.
Now check whether the inequality included origin or not.
Substitute in equation y=x+1.
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the blue line is y < 2x + 4.
The orange line intersects y-axis at , therefore the y-intercept is 1.
The orange line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = .
Now check whether the inequality included origin or not.
Substitute in equation y > .
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the orange line is y > .
Solve the equation y > .
The equation of orange line is 5y + x > 5.
Option (a) is not correct as it satisfy the inequalities of the graph.
Option (b) is correct as it satisfy the inequalities of the graph.
Option (c) is not correct as it satisfy the inequalities of the graph.
Option (d) is is not correct as it satisfy the inequalities of the graph.
Hence, is correct.
Answer:
b
Step-by-step explanation:
Factor the expression below.
x2 - 49
Answer:
(x+7)(x-7)
Step-by-step explanation:
These are perfect squares. Whenever you have perfect squares, you can take the square root of the constant. The constant is 49 in this case. The square root of 49 is + or - 7. Therefore, you get (x+7) and (x-7) as solutions. Factored form is (x+7)(x-7).
The equation d = 2t + 8 gives d, the total depth in inches of accumulated snow based on t, the time in hours since a storm began. Using this equation, how much snow can be expected to fall with each additional hour?
Answer:
It is expected to fall 2 inches of snow for each additional hour.
Step-by-step explanation:
As we want to find the amount of snow that will fall for each additional hour, we just need to use slope of the equation.
The slope is the value '2' that is together with the variable 't', and it means that if we increase the value of t by 1 unit, the value of d will increase by 2 units.
So we have that for each additional hour, it is expected to fall 2 inches of snow.
What is the circumference of a circle with a diameter of 85 feet? using 3.14for pi
Answer:
266.9
Step-by-step explanation:
In order to find the circumference of a circle, you have to multiply the diameter by pi.
Circumference= 85 × 3.14
When multiplied this will get you 266.9
The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.
Answer:
The ballast bag hits the ground after 6 seconds.
Step-by-step explanation:
Suppose there was a small typing mistake.
The height of the ball, after t seconds, is given by the following equation:
[tex]f(t) = -16t^{2} + 576[/tex]
After how many seconds t does the ballast bag hit the ground.
This is t for which f(t) = 0. So
[tex]f(t) = -16t^{2} + 576[/tex]
[tex]-16t^{2} + 576 = 0[/tex]
[tex]16t^{2} = 576[/tex]
[tex]t^{2} = \frac{576}{16}[/tex]
[tex]t^{2} = 36[/tex]
[tex]t = \pm \sqrt{36}[/tex]
Time is a positive measure, so
[tex]t = 6[/tex]
The ballast bag hits the ground after 6 seconds.
which rational number does not have a reciprocal
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
Nadia has a box of quarters and dimes on her dresser. There are 5 times as many
quarters as dimes in the box. The total number of quarters and dimes is 96. How
many of each coin is in the box?
Answer:
480= 96x5
Step-by-step explanation:
multiply on a caluculater
What is the product of (-a + 3)(a + 4)?
Answer:
-a^2-a+12
Step-by-step explanation:
(-a+3)(a+4)
-a^2-4a+3a+12
-a^2-a+12
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Answer:
C
Step-by-step explanation:
[tex]x^2-2x-80=[/tex]
[tex](x-10)(x+8)[/tex]
You can confirm this by expanding this:
[tex](x-10)(x+8)=[/tex]
[tex]x^2-10x+8x-80=[/tex]
[tex]x^2-2x-80[/tex]
Therefore, the answer is choice C. Hope this helps!
Answer:
C
Step-by-step explanation:
x^2-2x-80
(x^2+8)+(-10x-80)
factor out the -10 for -10x-80
=x(x+8)-10(x+8)
(x+8)(x-10)
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Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
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How may cups are In a gallon
Answer:
I think it is 16 cups in a gallon
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)
Answer:
$1,263.75
Step-by-step explanation:
8425×0.15=1263.75
Answer: $1263.75
Step-by-step explanation:
$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.
So, you would owe $1263.75 in taxes at the end of the year.
The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?
Answer:
$6.90 is the cost of 9 tennis balls
Stephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
How many servings can Stephen make?
Answer:
[tex]13\dfrac{3}{4}$ servings[/tex]
Step-by-step explanation:
Stephen uses [tex]\dfrac{2}{25}[/tex] kilograms of tofu in each serving of his dish.
He has [tex]1\dfrac{1}{10}[/tex] kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
[tex]\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings[/tex]
Stephen can make [tex]13\dfrac{3}{4}$ servings[/tex] .
Mrs.Garcia is making bread using a total of 400 grams of gluten free flour.The recipe calls for 70% of the flour to be almond flour. She needs to know how much almond flower to use.
Answer:
She needs 280 grams of almond flour.
Step-by-step explanation:
This question can be solved using a rule of three.
400 grams is 100% = 1. How much is 70% = 0.7?
400 grams - 1
x grams - 0.7
x = 400*0.7
x = 280
She needs 280 grams of almond flour.
Answer:
120g
Step-by-step explanation:
70% of flour in 400g is expressed as
= 70/100×400
=0.7×400
=280g
Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is
=400g-280g
=120g
Thus, Mrs Garcia requires 120g of almond flour
Steve has 2 and one half cups of flour for one of his recipes requires one 8th cup of flour, what is the maximum number of times Steve can complete the recipe.
Answer:
20 times
Step-by-step explanation:
We know that the recipe requires an eighth of a cup of flour (1/8 or 0.125) but in total Steve has 2 and a half, that is (2 1/2 or 2.5). To know the result we must divide the total amount by what is needed for 1 recipe, that is:
2.5 / 0.125 = 20
Which means that Steve with the flour he has can make the same recipe a total of 20 times
Answer: the answer is 20
Step-by-step explanation:
i’ve been stuck in this i’ve been thinking it’s 104 but it says it’s not
Answer:
AD is a diameter, then AFD = 180 deg
BFC = 180 - BFA - CFD = 180 - 57 -76 = 47 deg
BAC = (1/2)BFC = (1/2) x 47 =23.5 deg
Hope this helps!
:)
Answer:
313°
Step-by-step explanation:
We want to find the measure of the major arc BAC, which we notice is actually made up of multiple arcs: AED, BA, and CD. So we can write this as:
arc BAC = arc BA + arc AED + arc CD
We already know that arc CD = 76 degrees. We also know that the angle AFB is 57 degrees. Notice that AFB is a central angle, so by definition of central angles and their corresponding arcs, angle AFB is equal to the measure of arc BA. So, arc BA = 57 degrees.
Finally, look at arc AED. This is a semicircle, so by definition, it is 180 degrees. Now plug all these values into the equation:
arc BAC = arc BA + arc AED + arc CD
arc BAC = 57 + 180 + 76 = 313
The answer is 313°.
Does the sign need to flip when solving?
-2x = 22
Answer:
no
Step-by-step explanation:
an equal sign can't be flipped
Answer: no
Step-by-step explanation:
Need help with 1 and 2 please
Answer:
calculator
Step-by-step explanation:
calculator
The population density of Themville is 17.5 Thems per acre. Exactly 840 Thems live in Themville. How many acres is Themville?
1470 acres
48 acres
14700 acres
480 acres
Answer:
48 acres
Step-by-step explanation:
I hope this helps!