Step-by-step explanation:
11x-4<15
11x<15+4
11x<19
x<1
FURNITURE A modern table is constructed with four legs made
of concrete cubes with cube-shaped notches.
a. Define one or more variables and write an expression that
represents the volume of one table leg.
b. Marisol determined that she will use 12,636 cubic inches of
concrete to construct the four table legs. If the sides of the
notches are 40% of the sides of the legs, how long are the sides of the legs?
The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
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A baby gains 11 pounds in its first year of life. The baby gained 45 pounds during the first four months and 3 pounds in
4
its second four months. How much did the baby gain in the last four months?
o 3 apo
pounds
O
1
3
2 pounds
O O
4 pounds
O 5 pounds
Answer:
4 pound is the right answer
Mark me as a brilliant
You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir? Explain. Write your answer in simplest form.
Answer:
one and one fourth
Step-by-step explanation:
please help me with math !!
the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.
a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.
Answer:
a) x = 4b) y = 1.25x + 15c) (-12, 0)Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
It means its equation is:
x = 4b) RQ is parallel to OP.
Parallel lines have equal slopes.
Find the slope of OP:
m = 5/4 = 1.25RQ has slope of 1.25 and passes through (- 8, 5).
Find its equation using point-slope form:
y - 5 = 1.25(x - (-8))y - 5 = 1.25x + 10y = 1.25x + 15c) The x-intercept is determined at y = 0:
0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12In the equation, y=3x+2, is the point (2,8) a solution the equation?
1: Yes, the point is solution
2: No, the point is not a solution
Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!Find the product and simplify answer -2a^2(5a^2 - 5a + 5)
[tex] \: \: \: \: \: [/tex]
[tex] = \: \: 10 {a}^{4} + 10 {a}^{3} - 10 {a}^{2} [/tex]
refer to the attachment for explanationhope it helps ~♪Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€"2(x â€" 2)(x â€" 4) f(x) = â€"2(x 2)(x 4).
To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
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What si 19 3/4 + 19 3/8
Answer:
313 over 8=39 and 1 over 8 39 1 /8 =39.125
Step-by-step explanation:
Give a summary of the lesson what you have learned. about EXPONENTS!!
These steps are from a chemistry lab.
Assignment:
1. Pour 0.4 grams of salt into beaker A.
2. Add 20% of the salt from beaker A to beaker B.
3. Add 3 ounces of water to beaker B.
4. Stir the solution in beaker B.
Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?
_______________ grams
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
Bones or no bones day?
Answer:
I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...
Step-by-step explanation:
Answer:Bones Day
Step-by-step explanation:
Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7
Answer:
D) y < 7
Step-by-step explanation:
So we have 2y < 14:
To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.
Hope this helps you :)
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
The answer to the question is n+1
y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me
A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory
200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:
250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000
Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
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find k where y varies directly as x, and the following are true.
y = 2 when x = 16
Answer:
y=2
x=16
k=difference is x and y
so k=16-2
k= 14
6√21 ×√28
please show work :D
Answer:
84√3
Step-by-step explanation:
6√21√28
6√7√3√7√4
(6√7√3√7)(2)
(6*7)(√3)(2)
(42)(√3)(2)
84√3
[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]
what is the perimeter of rectangle INA
9.10
10 units
10 unite
18 unita
unite
Answer:P=2(l+w)
Step-by-step explanation: its easy
the three altitudes of a triangle intersect at the:
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.
David hikes 2 1/4 miles in 1/2 an hour. At his rate, how long will it take him to walk 18 miles
A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?
Answer:
The answer is 90A because.....
Step-by-step explanation:
The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.
Please help me pleaseeee
I’ll give brainliest
Find the surface area of a cylinder with radius 8m and height 5 m
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
AB with endpoints A(-2, -3) and B(4,4) is reflected in the line y = x to create its image A'B' Graph A' B' Then find the perimeter of the figure formed by the segments AB
BA' and AA to the nearest tenth
Answer:
Step-by-step explanation:
What type of triangle is this?
5
7
8
acute
obtuse
Answer:
Acute
Step-by-step explanation:
Helpppppppnmeeeeeeee plsss I will give you brainliest
Answer:
5) Slope is 6/5
6) Slope is -3
7) Slope is 2/5
8) Slope is 2
Step-by-step explanation:
You're welcome :D
∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.
Answer:
m∠B=52
∘
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}
let's find the value.
3 upon 8 of 2m (in cm)
Answer:
75 cm
Step-by-step explanation:
1 m = 100 cm , so
2 m = 200 cm
Then
[tex]\frac{3}{8}[/tex] × 200 cm
= 0.375 × 200 cm
= 75 cm
Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?
Answer:
it is a function because it doesn't have multiple y values for each x value
NO LINKS!!
On the grid below, which point is located in the quadrant where the x- and y-coordinates are both negative numbers?
Answer:
Point c
Step-by-step explanation:
A is at (6,4), both +
B is at (-4,2) only 1 -
C is at (-7,-2) both -
D is at (5,-4) only 1 -
Hope that helps
Answer:
C
Step-by-step explanation:
C is the answer because dude just look at it. C is in the quadrant where both x and y axis is negative.
Hope This Helps You:)