Someone please help me with this
Answer:
The area of the shaded figure is:
20 units^2Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
Area of a rectangle = long * wideArea of a rectangle = 6 * 4Area of a rectangle = 24 units^2How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
Area of a triangle = [tex]\frac{wide*height}{2}[/tex]Area of a triangle = [tex]\frac{4*2}{2}[/tex]Area of a triangle =[tex]\frac{8}{2}[/tex]Area of a triangle = 4 units^2In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
Area of the shaded figure = Area of the rectangle - Area of the triangleArea of the shaded figure = 24 units^2 - 4 units^2Area of the shaded figure = 20 units^2I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
g(t) = (t 1)2 = 20.25
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
Answer:
The zeros are (-5.5, 0) and (3.5, 0).
Step-by-step explanation:
g(t) = (t + 1)² − 20.25
0 = (t + 1)² − 20.25
20.25 = (t + 1)²
±4.5 = t + 1
t = -1 ± 4.5
t = -5.5 or 3.5
Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer:
Part of incomplete work = 2/3 of project
Step-by-step explanation:
Given:
Part of work completed = 1/3 of project
Find:
Part of incomplete work
Computation:
Part of incomplete work = 1 - Part of work completed
Part of incomplete work = 1 - 1/3
Part of incomplete work = 2/3 of project
A chocolate bar is 3/4 of an inch long. If it is divided into pieces that are 3/8 of an inch long, then how many pieces is that?
Answer:
2 pieces
Step-by-step explanation:
3/4 = 6/8 (multiply by 2/2)
[tex]\frac{6}{8}/\frac{3}{8} =\frac{6}{8} * \frac{8}{3} = \frac{6}{3} =2pieces[/tex]
In an electronics store, an iPod is $75. The sales tax is 7.5%. What is the cost of the iPod?
Answer:
$80.625
Step-by-step explanation:
$75 for the iPod times 0.075 = 5.625 which is the sales tax.
Then $75 (Cost of iPod) + 5.625 (Sales Tax) = $80.625 (Price of the iPod including the sales tax)
Sorry, if I am wrong. I tried my best and Hope this helps ;)
A local little league has a total of 60 players, of whom 20% are right handed. How many right handed players are there.
Answer:
12
Step-by-step explanation:
60 x 20% = 12
Answer:
12
Step-by-step explanation:
how do I simplify the expression -2.4+0.5f-14-4
9514 1404 393
Answer:
0.5f -20.4
Step-by-step explanation:
There is only one term containing a variable (0.5f), but there are three constant terms. The constant terms can be combined by finding their sum in the usual way.
-2.4 +0.5f -14 -4
= 0.5f -(2.4 +14 +4)
= 0.5f -20.4
John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the local fair chargers him a baby and $80 John cells each model boat for $50. Write a system of equations to represent the situation
Answer and explanation:
Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)
John's profit from the sale of model boats can be represented by the equation:
P= 50x-(5x+80)
Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.
For example if John buys and sells 20 model boats, he would make profit of:
Substitute x=20 in equation above
P= 50×20-(5×20+80)
P=1000-180
P=$820
It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit
In a room of 200 people, 22% have blue eyes. How many people have blue eyes?
Answer: 44 people
Step-by-step explanation: 200 x .22=44
You need to solve for x.
I'm pretty sure it's 28 but sorry if I'm wrong it might be 44
Can someone explain how to do this I'm lost.
Step-by-step explanation:
[tex]\huge\bold\purple{ 5 }[/tex]
[tex]\huge\bold\purple{ explanation }[/tex]
[tex]90(right \: angle) = (9x + 1) + (7x + 9) \\ 90 = 16x + 10 \\ 16x = 90 - 10 = 80 \\ x = 80 \div 16 \\ x = 5| [/tex]
Lori wants to put a tarp over their family's circular pool to keep the leaves out. The pool has a diameter of 20 feet. How many square feet of blanket does she need? Use 3.14 for \piπ.
Answer:
314 sq.feet
Step-by-step explanation:
r= 10 feet
as you know r= d/2
As pool is circular
Area of circle = πr^2
Area of circle= 3.14*10^2 = 314square feet
Read the caption please, thank u so much!!!
Answer:
[tex]\huge\boxed{\sf S = 8}[/tex]
Step-by-step explanation:
Opposite sides and angles of a ║gm are equal.
So,
6S - 8 = 3S + 16
6S - 3S = 16 + 8
3S = 24
Divide 3 to both sides
S = 24 / 3
S = 8
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Find the Error What error did the student make when solving the equation: 5x + 6 = 66 5x - 6 = 66 -6 5x = 60 5*5x= 60*5 X = 300 The student subtracted 6 from both sides instead of adding Student multiplied by 5 Vinstead of dividing by 5 Student got the wrong answer when subtracting 66-6 The student did not correctly eliminate the variable from one side of the equation
Answer:
The student multiplied by 5 instead of dividing by 5
Step-by-step explanation:
At the fourth step, the student multiplied each side by 5 rather than dividing it by 5. The opposite opperation from multiplication is division so they should have divided 5x and 60 by 5 here instead of multiplying it by 5. If this equation was done correctly, the correct answer would be x=12.
Help me with this too please hrlp
Answer:
3 * 10^4
Step-by-step explanation:
Here, we want to make a division
We want to divide 9 * 10^2 by 3 * 10^-2
That would be;
(9 * 10^2)/(3 * 10^-2)
= 9/3 * 10^2-(-2)
= 3 * 10^4
Solve the equation for all values of x by completing the square.
x² – 18x= -66
Answer:
x=12.87298334
Step-by-step explanation:
what is the equation that passes through the given point and has the given slope (-2, -1); m= -3
Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (- 2, - 1) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation of line
Answer:
The equation would be y=-3x-7
Step-by-step explanation:
Help anyone? I need the questions worked out it doesn’t matter if you give me only one question
y2-y1/x2-x1. For A and B y2=4, y1=-4, x2=2 and x1=-2... Now u plug them in them, 4-(-4)/2-(-2)= 8/4=2. Slope equals 2. :)
Show your work to evaluate g(f(x)) if f(x)=x+2/2 and g(x)=1x−1
Answer:
x/2.
Step-by-step explanation:
We replace the x in g(x) by f(x):
g(f(x)) = 1((x + 2/2) - 1
= (x + 2)/2 - 1
= (x + 2 - 2)/2
= x/2.
Answer:
x/2
Step-by-step explanation:
g(f(x)) = (x+2/2) - 1
= [tex]\frac{x+2}{2}[/tex] - [tex]\frac{2}{2}[/tex]
= (x + 2 - 2) / 2
= x/2
ack plots points showing equivalent ratios on the coordinate plane below.
m c 0 16- 1. g
Which ordered pair, if plotted above, would represent a ratio that is equivalent to those shown?
(1, 9)
(3, 9)
(4, 18)
Answer:
(4, 18)
Step-by-step explanation:
Is A ABC-A DEP? If so, identify the similarity postulate or theorem that
applies.
A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined
Answer:
The similarity postulate that applies is;
C. Similar - AA
Step-by-step explanation:
The given parameters are;
ΔABC with angles ∠BAC = 30°, ∠ABC = 100° and ∠BCA = 50°
ΔDEF with angles ∠EDF = 30°, ∠DEF = 100° and ∠DFE = 50°
Therefore, the interior angles of ΔABC are equal to the corresponding interior angles of ΔDEF, which satisfies the Angle-Angle (AA) condition for similarity of two triangles based on the congruency of two interior angles of one triangle to two interior angles of the other triangle.
Helppp +star & +15 points
Answer:
y=1
Step-by-step explanation:
the slope is 0 and the y-intercept is 1, so y=0x+1, y=1
Please help!!:
1. Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).
2. Write the equation of a line that is parallel to y = 2x – 4 and passes through the point (-3, 4).
Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,
2.
-5, 0, 9, 22,
Which table of ordered pairs represents a proportional relationship?
hello there!
it would be C
because
6/3=2 and 2*5=10 and 7*2=14
hope this helps
have a fantastic day/night
Write an explicit formula for an, the nth term of the sequence 75, 15, 3, ....
Answer:
aₙ = 75 x 0.2ⁿ⁻¹ or 75 x (1/5)ⁿ⁻¹
Step-by-step explanation:
a₁ = 75
a₂ = 75 x 0.2¹ = 75 x 0.2 ²⁻¹ = 15
a₃ = 75 x 0.2² = 75 x 0.2³⁻¹ = 3
.......
aₙ = 75 x 0.2ⁿ⁻¹ or 75 x (1/5)ⁿ⁻¹
Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.
Answer:
$24
Step-by-step explanation:
Let the total amount of her allowance = a
We are told that she spent $8 on belt
And the total amount she spent = $22
The Fraction of allowance spent on
Shirt = 1/4
Skirt = 1/3
Hence, the equation is given as:
1/4 × a + 1/3 × a + $8 = $22
Collect like terms
a/4 + a/3 = $22 - $8
a/4 + a/3 = $14
The Lowest Common Denominator = 12
3a + 4a/12 = $14
7a/12 = $14
Cross Multiply
7a = $14 × 12
7a = $168
a = $168/7
a = $24
Therefore, her total allowance = $24
Answer:
its 24 i took the quiz :)
Given 2m+n=r, solve for m.
Answer:
m= r-n/2
Step-by-step explanation:
2m+n=r
2m=r-n
m=r-n/2
Simplify the expression below.
Answer:
[tex]\displaystyle 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7^2 - 13}{24 - 18}[/tex]
Step 2: Evaluate
[Fraction] Exponents: [tex]\displaystyle \frac{49 - 13}{24 - 18}[/tex][Fraction] Subtract: [tex]\displaystyle \frac{36}{6}[/tex][Fraction] Divide: [tex]\displaystyle 6[/tex]Ok so, 67 out of 206 species of birds found in the Badlands nest there. 824 species were found in the Badlands. How many of those nest there?
Answer: 268
Step-by-step explanation:
From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:
= 67 × 824/206
= 67 × 4
= 268