Answer:
21 + 3x
Step-by-step explanation:
3(7 + x) ← multiply each term in the parenthesis by 3
= 21 + 3x
I just am confused what to do on 11-16 and if able to can’t 1-9 be checked
Answer:
add all the sides that you have and subtract it from 180
Step-by-step explanation:
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
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.
Refer here for such word problems:
https://brainly.com/question/17086949
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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
he roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
What is the slant height of the roof?
==========================================================
Explanation:
The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.
We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.
We'll use the pythagorean theorem to find the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]
It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.
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
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.
Learn more about the surface area of cylinder here:
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Use the scale factor 1:8 to find the missing dimension.
Item = baby giraffe
model = height = cm
actual = height = 1.84m
Answer:
0.23 m or 23 cmStep-by-step explanation:
Accordingto the scale factor, the model is 8 times smaller than actual figure.
Its height is:
1.84 m * 1/8 = 0.23 m or 23 cmSo
Actual=1.84mModel:-
1.84/80.23mLarry 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.
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
Give me full working and explanation and I give you stars and mark you as brainliest.
pls answer its important
Answer:
i dunno'
Step-by-step explanatio i dont know how to explain diss this
I don't get this one?
Answer:
4000
Step-by-step explanation:
V=4/3(3)(10)^3
V= 4/3 (3)(1000)
V=4/3 (3000)
V=4000
In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)?
Answer:
8,874%
Step-by-step explanation:
Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"
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
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)
HI can somebody outline it pls and tyy
Answer:
Step-by-step explanation:
*View the attached file*
Hope this helps!
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)
Read more about inequalities at:
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124 7/8 drained in 25 mins how much is drained each min
Convert 124 7/8 to 999/8
In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)
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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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!
A glass container holds 40 fluid ounces of tea. How many pints of tea does the glass container hold?
Answer:
2.5
Step-by-step explanation:
40 divided by 16 is 2.5
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:
AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]
Answer:
Answer is 6
Step-by-step explanation:
See it is equilateral so AB=AC=BC
Now we are given values of AB and AC, but they are equal so,
22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6Hope it helps
BYE
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:
if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins
Answer:
418122 seconds
Step-by-step explanation:
First divide 400,500 by 50. That is 8010.
Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR
6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days
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.
I need help on this image below
Answer: 70 degrees
Step-by-step explanation:
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.
Learn more about the trigonometric ratios here;
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Answer:
D(2.659)
Step-by-step explanation:
got it right on edg