Answer:
-3
Step-by-step explanation:
2x=-6
transpose 2 to LHS
[tex]x = \frac{ - 6}{2 } \\ =x = - 3[/tex]
Answer:
x = - 3
Step-by-step explanation:
2x = - 6 ( divide both sides by 2 )
x = - 3
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answer: the answer is 150 :)
Step-by-step explanation: Volume of a cone is
V = 1/3 pi * r^2 *h
The volume of one cone is
pi = 3.14
r = d/2 = 6/2 =3
h=9
Substitute what we know
V = 1/3 * (3.14) * (3^2) * (9)
= 27* 3.14
= 84.78 cm^3
The water cooler has 12717 cm^3 water
Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.
12717/ 84.78 = 150
We can fill 150 paper cup cones. have a great day!
Give me full working and explanation and I give you stars and mark you as brainliest.
A suit is on sale for $414 , which is 28% less than the regular price.
What is the regular price?
Answer:
.72x=414
Step-by-step explanation:
a) Factorise
x2 - 422
Answer:
(x + 42)(x - 42)
Step-by-step explanation:
Keep this in mind :
a² - b² = (a + b)(a - b)In this case,
a = xb = 42So, by factorizing,
x² - 42² = (x + 42)(x - 42)★a²-b²=(a+b)(a-b)
So
x²-42²a=x ,b=42
(x+42)(x-42)Done!
Please help I'm stuck
Answer:
C, those who vote FOR the Ballet Measure tend to be from District 2.
Step-by-step explanation:
Look carefully, read the questions! Okay! Cya!
Those who vote for the ballot measure tend to be from District 2. The correct option is C.
How to calculate the relative frequency of the data?To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.
District 1:
For: 13/75 ≈ 0.1733
Against: 12/75 ≈ 0.16
District 2:
For: 15/75 ≈ 0.2
Against: 10/75 ≈ 0.1333
District 3:
For: 9/75 ≈ 0.12
Against: 16/75 ≈ 0.2133
Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),
While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:
The correct option is C.
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Two triangles make a parallelogram ABCD. The area of triangle BCD is 15 square meters. DC is the base of the parallelogram and is 6 meters long. What is the height?
Answer:
Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.
Step-by-step explanation:
Area = b × h Square units
consider the system of linear inequalities {y<1/2x-1, y>2x+3} Which points are in the solution set?
a. (-4,-3)
b. (1,3)
c. (-5,-7)
d. (3,0)
e. (-6,-5)
f. (-7,-2)
g. (-4,-4)
h. (-3,-3)
Answer: g, e
e. (-6,-5)
g. (-4,-4)
Step-by-step explanation:
While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.
The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."
See attached for the graph.
The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values
The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)
How to determine the solution set?The system of linear inequality is given as:
y < 1/2x - 1
y > 2x + 3
Start by plotting the graph of both inequalities
Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.
The points in the shaded area are (-6,-5) and (-4,-4)
Other points are either outside the shaded area or on the line of the inequalities
Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)
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Karla’s recipe for brownies serves 10 people. She needs to feed 40 people. The ingredients for the original recipe says that she needs 1 3/4 cups of sugar. How many cups of sugar will she need to serve 40 people?
Answer:
7 cups
Step-by-step explanation:
1 3/4 x 4 = 7
Karla will need 7 cups of sugar to serve 40 people.
How much paper is needed to make a cone with a radius of 6cm, a height of 8cm, and a slant height of 10cm?
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]
[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]
[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] As we know that,
Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]
On substituting the value of radius(r) and slant height(l) in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]
Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.
_____________________________
Hope it helps:)
Step-by-step explanation:
Given:-
Radius of cone :- 6cmHeight of cone :- 8cmSlant height of cone :- 10 cmTo find :-
How much paper is needed to make a coneConcept :-
We need to find the Curved surface area of cone to find the amount of paper needed to make the cone of given dimensions.Solution :-
As we know ,
the formula for finding the curved surface area of cone :- πrl
putting the known values ,
CSA :- 3.14 × 6 × 10 cm²
CSA of cone :- 188.4 cm²
In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
What are the trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Here, θ is the angle.
The value of angle given in the problem are,
Cosine a = 0.352 Sine a = 0.936.Put these values in the above fromula as,
[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
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Answer:
D(2.659)
Step-by-step explanation:
got it right on edg
I need help on this image below
Answer: 70 degrees
Step-by-step explanation:
Larry has a bag of candy that weighs 12 pounds. He wants to divide the candy into 5 equal groups. How much will each group weigh
Answer:
2.4 pounds
Step-by-step explanation:
12/5=2.4
To get 5 equal parts of 12, you have to do 12 divided by 5.
What is the best estimate of the area of the figure on the grid if each square has a side length of 1 inch?
12 square inches
O 20 square inches
25 square inches
O 33 square inches
Answer:12 i think
Step-by-step explanation:
HI can somebody outline it pls and tyy
Answer:
Step-by-step explanation:
*View the attached file*
Hope this helps!
lat a = the length of a car in meters. Let b = the length of the same car in centimeters. which number is greater, a or b? Answer for 100 points.
Answer:
B
Step-by-step explanation:
Centimeters are 100 times bigger than meters, so if you had 1 meter, it would be 100 centimeters. Therefore, centimeters are greater than meters.
Find two numbers whose product is 3 and the sum of whose reciprocals is 76/15
Answer:
xy=3_equation I
x+y=76/15 eq 2
Step-by-step explanation:
from eq
x=3/y
now put x=3/y in eq 2
3/y+y=76/15
(3+y^2) 15=76y
45+15y^2=76y
15y^2-76y+45=0
by using quardic equation
x=76+_root under 76^2-4×15×45/2×15
y= 5776+- 53.62/2×15
taking positive sign and taking negative sign
y=194.32
y=190.745
30. The surface area of a rectangular prism is
450 m2. What will be the new surface area if
all the dimensions are doubled?
A. 675 m2
B. 900 m2
C. 1,800 m2
D. 3,600 cm
hevolume of a
Answer:
1800 m²
Step-by-step explanation:
The surface area of a prism is the sum of the areas of its faces.
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²
⇒ 2(LH + BH + LB) = 450 m²
Finding the surface area if the dimensions are doubled:
⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]
⇒ 2[(4LH) + (4BH) + (4LB)]
⇒ 2[4LH + 4BH + 4LB]
⇒ 2[4(LH + BH + LB)]
⇒ 2[2 × 2(LH + BH + LB)]
⇒ 2[2(450)] [2(LH + BH + LB) = 450 m²]
⇒ 2[900]
⇒ 1800 m² (Option C)
Answer is 1, I just need the working. Thank you
there are three pictures with every step
good luck writing that on the paper bro lol
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. he must determine the surface area of the tank so that he knows how much paint to purchase. what is the surface area of the tank? use 3.14 for π, and round your answer to the nearest whole number. refer to your staar 8th grade math reference sheet for the appropriate formula. question 9 options: 1413 ft2 5655 ft2 6855 ft2 7069 ft2
The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
What is surface area of cylinder?Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;
[tex]A=2\pi rh+2\pi r^2[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.
Put the values in the above formula,
[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]
Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
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14.
8 builders can finish a house in 20 days.
Each of the builders works at the same rate.
6 of the builders stop working after 14 days.
The other builders continue building the house at the same rate until it is
finished,
How long does it take to build the house?
Answer:
it took the remaining two builders five days to finish
It takes 38 days to build the house for the remaining workers. Since it is said that the total working days for building a house with 8 workers is 20 and 6 workers left after 14 days and each worker is working at the same rate.
Given data:8 builders can finish a house in 20 days
Each builder works at the same rate
After 14 days 6 builders left.
Calculating the required days:When 6 builders left after 14 days, 2 builders have remained
Then, we can write
1 builder can finish the work that these 6 builders did in those 14 days is
6×14=84 days
Since it takes 20 days for 8 builders to finish a house, then for 1 builder it takes
1 builder = 20×8=160 days
Then the remaining left for 1 builder to finish the house is 160-84=76 days
Then the remaining 2 builders will build the house in 76/2 days
That is 38 days.
Therefore, the remaining builders build the house in 38 days at the same rate.
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Two drums have their radii in the ratio of 2:3, if the height of the first drum is 1.5m, what is the height of the second drum, if the two contain same amount of water?
Answer:
0.6
Step-by-step explanation:
apply the volume of cylinder and equal both of them because both contain same amount of water.
see the picture for full solution
Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.
He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a
pair of shorts. He must design at least 12 items each day, but he cannot
design more than 20 items in one day. Which set of inequalities below
represents this scenario?
A. S 2 12-tss 20 - ts 12 -0.25t, s 2 0; t2 0
B. s2 12-t, ss 20-t, ss 12 -0.25t, s 0;t20
O C. s2 12-t s2 20-t ss 12 -0.25t, s 2 0;t2 0
D. s2 12+ tss 20 + tss 12 -0.25t, s 0,20
Answer:
The correct option is;
B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t
Step-by-step explanation:
The set of inequalities below represents this scenario s ≥ 12 - t,
s ≤ 30 - t, s ≤ 24 - 0.66·t
We have given that,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day.
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
lets t=times
s=shorts
We have to determine the correct inequality so that we will get,
The correct option is;
s ≥ 12 - t,
s ≤ 30 - t,
s ≤ 24 - 0.66·t
Therefore option B is correct.
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a fence is shown on a blueprint and has sides of length 17 cm, 18 cm, 15 cm, and 19 cm. If the scale on the blueprint is 2 cm:7 m, what is the total length of the fence? show ur work pls
Answer:
241.5
Step-by-step explanation:
First add all your numbers togather
17 + 18 + 15 + 19
= 69
THEN..
Multiply by 7
= 69 × 7
= 483
After that divide it by 2..
483 ÷ 2
= 241.5
There are 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. Marbles are replaced after each draw. What is the probability that the first marble drawn is red and the second marble drawn is green?
Answer:
[tex]\frac{16}{225}[/tex]
Step-by-step explanation:
When attempting probability problems we want to figure out the chances of something happening. This turns into something like:
[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]
In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.
Since we want to first draw a red marble the chance of that happening would be:
[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.
[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]
All that's left is to multipy the values we got:
[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]
That's our answer.
pls answer its important
Answer:
i dunno'
Step-by-step explanatio i dont know how to explain diss this
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
Answer:
(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ftStep-by-step explanation:
Let the length be x and width be y.
We have:
x = y + 8Area = 240 ft²Set equation and solve
xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ftThe length is:
x = 12 + 8 = 20 ftThe perimeter is:
P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ftCorrect choice is D
Let they be l and b
l=b+8l-b=8--(1)And
lb=240So
(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)From both equations
2l=40l=20And.
b=20-8=12ft
Option D
Jake drew the sketch below of a kite that he wants to make.
A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.
area =
cm2
Answer:
Part A: 2 (20 × 50) + 2(20 × 10)
Part B: 1200 cm²
Step-by-step explanation:
Part A:
2 (20 × 50) + 2(20 × 10)
= 2(1000) + 2(200)
= 2000 + 400
= 2400
Part B:
Divide the answer by 2.
= 2400/2
= 1200 cm²
Because the formula to find the area of a kite is
1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.
Tell which value of the variable is the solution of the equation.
30 = 6w
w = 3, 5, 6, 8
Answer:
w = 5
Step-by-step explanation:
6w/6 = 30/6
= 5
Jamie and Linda are having a contest to see whose photo will get more "likes" on social media.
Jamie's photo got 75 likes by the end of the first day and is getting 36 more likes each day.
Linda's likes can be modeled by the function f(x)=18(2)x.
Which statements are true? Select all that apply.
Hint: Use a table or graph to compare the number of likes that Jamie and Linda get. Remember that the value of the function at x=1 represents number of likes at the end of the first day.
Answer:
2) Jamie's photo gets more likes within the first three days than Linda's photo.
The table shows the possible outcomes of spinning the given
spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a
head.
5
3
4
1 2 3 4 5
h1,
h2,h 3, 4, 5,h
t 1, 2, 3, t4, t5,t
the probability of spinning a 1 and tossing a head is
Spinning the spinner and tossing the coin is an illustration of probability
The probability of spinning a 1 and tossing a head is 0.10
How to determine the probability?From the table, we have the following parameters:
Total outcomes, n = 10
A 1 and a head, n(H1) = 1
So, the probability of spinning a 1 and tossing a head is:
P(H1) = n(H1)/n
Substitute known values
P(H1) = 1/10
Evaluate the quotient
P(H1) = 0.10
Hence, the probability of spinning a 1 and tossing a head is 0.10
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