One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9
Answer:
x= -4, y=-3
Step-by-step explanation:
solving the two equations simultaneously you'll get x to be-4 and y to be -3
x+ 5y= -19
3x-y=-9
multiplying the second equation by5
15x-5y=-45
adding eqn 1 and eqn 3
16x= -64
x= -4
substituting into eqn 2
3(-4)-y= -9
-y= -9+12
-y= 3
y=-3
What is the volume of a cube with an edge length of 7.3 cm?
Enter your answer in the box
Answer:
389.017 cm³
Step-by-step explanation:
Given:
Side length of cube = 7.3 cmThe volume of a cube is the cube of the side length.
V = (side length)³Substitute the side length of the cube to determine the volume of the cube.
⇒ V = (s)³
⇒ V = (7.3)³
⇒ V = (7.3)(7.3)(7.3) = 389.017 cm³
Answer: 389.017
Step-by-step explanation: I just took the test.
A rectangular prism is a
Choose...
two-dimensional, three dimensional or one dimensional.
Answer: Three dimensional
Step-by-step explanation:
A rectangular prism is a three-dimensional shape.
[] A one-dimensional shape is a line
[] A two-dimensional shape is a rectangle, circle, etc
[] This means that a rectangular prism is a three-dimensional shape
A rectangular prism is a
Two dimensionalThree dimensional Four dimensional Explanation -:A rectangular prism is three dimensional.
One dimensional -:
Lines that have length in at least one direction.Two dimensional -:
Shapes that are flat and have two dimensions i.e. length and breadthThree dimensional -:
A solid figure that has three dimensions i.e. length, breadth and height.[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny \rm{spbankingandsscseries}[/tex]
[tex] \rule{75mm}{6pt}[/tex]
1. Abe and Malik both stayed after school on
Wednesday to practice their instruments. Abe
practiced for 30 minutes. Malik practiced 10
minutes longer than Abe. Select all the ratios
that compare Abe's practice time to Malik's practice time
Answer:
Step-by-step explanation:
If Abe practiced 30 minutes,
Malik practiced 40 minutes.
It's 30:40 minutes;
3:4
Can some help me I will mark u brilliant
Answer:
The answer is C
Step-by-step explanation:
The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.
Answer:
Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.
To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;
A = π[tex]r^{2}[/tex]
What we know:
1,017 is the area.Plug that area in our equation:-
A = π[tex]r^{2}[/tex]
1,017 = 3.14[tex]r^{2}[/tex]
Solve for r;
÷3.14 ÷3.14
324(approximate) = [tex]r^{2}[/tex]
√324 = r
18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).
Therefore, your answer is C.Another alternative way;Plug in your options' numbers into the equation;
A = π[tex]r^{2}[/tex]
And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.
Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.
Given f(x)=5(x^2+1)+16, what is the value of f(11)?
Answer:
The value of f(11) is 9.
The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.
From the parameters given;
we are to replace x with 11 wherever we see x
∴
f(11) = 9
Step-by-step explanation:
Find the area of the figure
answer:
178.5398mm²
explanation:
attached
--
if this helped, please consider giving brainliest !
Which fractions are equivalent to 5/8?
Select each correct answer.
20/32
25/64
10/16
50/80
10/13
What is the area of the figure?
A) 18 yd2
B) 54 yd2
C) 72 yd2
D) 90 yd2
Answer:
72 yd²
Step-by-step explanation:
area of this figure = area of 1st rectangle + area of 2nd rectangle
= l×b + L×B
= 6 × 5 + 14 × 3
=30 + 42
= 72 yd²
Answer:
the answer c 72 yd2
Step-by-step explanation:
Write (b^3)^2 without exponents
Answer:
(b)(b)(b)(b)(b)(b)
Step-by-step explanation:
[tex](b^3)^2=b^6[/tex]
(b)(b)(b)(b)(b)(b)
Answer:
Step-by-step explanation:
(b^3)^2
= b^(3*2)
= b^6
= b*b*b*b*b*b.
Find the constant rate of change for each graph.
Answer:
i believe the rate of change is 1/1 or just 1.
there is also 1 graph only?
16. An online magazine charges $45,000 for a 3-month contract for a banner ad
displayed above its weekly feature article. The magazine has 120,000
subscribers and gets 195,000 hits per day. What is the banner's cost per
subscriber if a banner ad was taken for a year?
Answer:
$1.50
Step-by-step explanation:
There are 4 3-month periods in a year.
$45,000 per 3 months period × 4 = $180,000 cost
$180,000 ÷ 120,000 subscribers = $1.50
The banner ad costs about $1.50 per subscriber
Which persons dues are cheaper per month? explain. (please help)
Answer:
Claire
Step-by-step explanation:
Which of the following rational functions is graphed below
Answer:
option B
Step-by-step explanation:
[tex]f(x) = \frac{x + 2}{x + 1} [/tex]
What is the y intercept of the equation-16x^2+64x+80?
Answer:
(0, 80)
Step-by-step explanation:
The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.
__
The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).
There are 5 cups of oatmeal in a container stella eats 1/3 of oatmeal every day for breakfast in how many days will stella finish all the oatmeal in the container
Answer:
15 days
Step-by-step explanation:
if she eats 1/3 cup of outmeal each day then in 3days she will have eaten 1 cup so to get to 2cups he will have to eat for 3 more days so it goes 3 days by 3 days this will be easy to do on a number line but you could also just multiplying the 3days times the 5 cups because thats how many cups you want to get to finish so it will be 15 the 15 days it took me time to understand hope this was helpful
The number of days is 15 days.
What is unit rate?A rate is a ratio that compares two quantities of DIFFERENT. kinds of UNITS. A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator.
here, we have,
to determine the number of days
From the question, we have the following parameters that can be used in our computation:
Size = 5 cups
Rate = 1/3 cup per day
The question illustrates unit rates
A unit rate is a rate in which the denominator of a ratio is 1 unit.
In other words, it is the amount of something per one unit of another thing.
Using the above as a guide, we have the following:
Number of days = 5/(1/3)
Evaluate the quotient
Number of days = 15/1 days
This gives
Number of days = 15 days
Hence, the number of days is 15
Read more about unit rates at
brainly.com/question/26059245
#SPJ2
are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6
Answer:
perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.
Please help me!
I’ll give 20 points
Answer:
Both answer is C
Step-by-step explanation:
30:20
3:2
Thus, (24/3)×2
=16 inch
Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure
Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.
Equation:
Answer: x=
Answer:
x= (26.61-3.39)/18
Step-by-step explanation:
help me pls guys guys
Answer:
1.TRUE
2.TRUE
3.TRUE
4.TRUE
5.TRUE
Step-by-step explanation:
THATS MY ANSWER ON MY MODULES
hope it helps as
the Area of the circles
Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²
Answer:
254 cm^2.
Explain:
The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.
Read the sentence.
When my cousin Jason suddenly showed up out of the blue, it was an unexpected surprise because we had no idea that he was coming to the special event that our family had planned ahead of time.
Which revision most effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box.
The first sentence is correct.
Answer: We were surprised when my cousin jason attended our family reunion.
Step-by-step explanation: I took the k12 quiz and got it right.
Find the length of the midsegment of the trapezoid.
Answer:
MN=66.5
Step-by-step explanation:
Add 57 and 76, then divide by 2.
help pls quick i need the answer pls
Answer:
multicultural
Step-by-step explanation:
Answer:
A. Multicultural
Step-by-step explanation:
It shows later in the sentence that they ate Thai noodles and Egyptian falafel those come from different cultures so it must be multicultural
A stone is projected vertically upward from a platform that is 18ft high at a rate of 114ft/sec. Use h=−16t^2+v0t+h0.
Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:
h(t) = -16t² + 114t + 18.
Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.
Hence:
[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]
[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]
Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
What is cosK?
(25)/(7)
(25)/(24)
(7)/(25)
(24)/(25)
Step-by-step explanation:
7/25
we need to remember this triangle with 90° 7, 24, 25
please add these number togeather
Answer:
314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79
=840.75
What’s value of x in 12x-11=2x+5
Answer:
x = 1.6 or [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
12x - 11 = 2x + 5
Add 11 to both sides,
12x - 11 + 11 = 2x + 5 + 11
12x = 2x + 16
Subtract 2x from both sides,
12x -2x = 2x - 2x + 16
10x = 16
Divide both sides by the same factor (in this cas the factor is 10),
[tex]\frac{10x}{10} =\frac{16}{10}[/tex]
[tex]x=\frac{8}{5}[/tex]
x = 1.6 or [tex]\frac{8}{5}[/tex]
Identify the indicated angles as Adjacent, vertical, linear, or complimentary
