The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.
Answer:
x=8 y=10
Step-by-step explanation:
x+y =18 x=(18-y)
3(18-y) +2y =44
54-3y+2y =44
54-y =44
-y=-10
y=10
x+10=18
x=8
Which inequality statement describes the two numbers: -22 and a number 47 units to the right of -22?
Answer:
D) -22 < 25
Step-by-step explanation:
If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.
47 units right from -22 is the same as: -22 + 47, which equals 25.
So, we can conclude that -22 < 25 is the inequality.
hope this helps!
How do I graph n>8 on a number line.
Answer:
Math-Graphing Inequalities on a Number Line (the basics)
Step-by-step explanation:
HELP I NEED TO TURN IN TOMORROW
ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5
what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?
Answer:
Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000
Step-by-step explanation:
One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?
Answer:
40
Step-by-step explanation:
10+10+10+10 = 40
A square has 4 sides which is why you add 10, 4 times.
For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0". 47, 31, 84, 50, 68, 85, 67, 56
Answer:
Mean: 54
Median: 61.5
Mode: 0
Range: 54
Step-by-step explanation:
Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)
Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5
Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)
Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)
A circular flower bed in a botanical garden has a radius of 4 feet. what is the area of the flower bed? use 3.14 for π . enter your answer to the nearest hundredths place in the box. question 7 options:
The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A circular flower bed in a botanical garden has a radius of 4 feet.
Then the area of the flower bed will be
Area = π r²
Area = π × 4²
Area = 16π
Area = 16 × 3.14
Area = 50.24 square feet.
More about the circle link is given below.
https://brainly.com/question/11833983
25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)
Answer:
z = 600
Step-by-step explanation:
Method 1 - ratios
If 150 is 25% then z is 100%:
[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]
Method 2
Calculate the amount for 1%, then multiply by 100% to find z:
25% = 150
⇒ 1% = 150 ÷ 25 = 6
⇒ z = 100% = 6 x 100 = 600
Which expression is equivalent to √3+5/√3-5
The simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]
How to rationalize surd functions?
Given the surd function expressed as:
[tex]\frac{\sqrt{3} +5}{\sqrt{3} - 5 }[/tex]
Multiply by the conjugate of the denominator to have:
[tex]= \frac{\sqrt{3} +5}{\sqrt{3} - 5 } \times \frac{\sqrt{3} +5}{\sqrt{3} + 5 } \\=\frac{\sqrt{9}+5\sqrt{3}+5\sqrt{3}+25 }{3-25}[/tex]
Simplify the resulting expression
[tex]\\=\frac{3+10\sqrt{3}+25 }{-22}\\=\frac{28+10\sqrt{3}}{-22} \\= \frac{14+5\sqrt{3}}{11}[/tex]
Hence the simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]
Learn more on rationalization here: https://brainly.com/question/14261303
Find the area of the trapezoid.
8 cm
6 cm
13 cm
A. 78 cm2
B. 48 cm2
C. 63 cm
D. 104
Answer:
c; 63 square cm
Step-by-step explanation:
the area of a trapezoid can be described by the equation a = (1/2)(h)(b1 + b2)
this means the height times base 1 and base 2 added together divided by 2
(1/2)(6)(8 + 13) is the equation
this can become 3(21)
which is ultimitaly 63
Answer:
it's gonna be 63cm^2
Step-by-step explanation:
First, were gonna find the area of the rectangular portion, which is 8x6, which is 48cm^2
Next, well do the triangle part. So, we have to subtract 13-8 to get the width of the triangle.
Next, we have to find the area for the triangle. The formula is length x width / 2.
So, we have to multiply 6x5 to get 30.
Then, well divide it by 2, which will give us 15cm^2
Finally, we add the areas of rectangle and the triangle together. 15 + 48 is 63.
Bada-bing, bada-boom, we got 63cm^2 as our answer :)
Create equations to solve for f and g
Answer:
Step-by-step explanation:
Scaling factors! Help!
Answer:
x=15
y=2
Step-by-step explanation:
the scale factor is 6:1
if you divide 12 by 6 you get 2
so y=2
if you multiply 6 by 2.5 you get 15
so x=15
If P={a,b,c} and Q={r}, form the sets PUQ?
Tony cut a piece of string 90 cm long into three in the ratio of 2:5:3.What is the length of the medium piece?
a. 18cm b. 24cm c. 27cm d. 45cm
Answer:
D
Step-by-step explanation:
We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.
Left piece : 2 x 9 = 18 cm
Middle piece : 5 x 9 = 45 cm
Right piece : 3 x 9 = 27 cm
D is the correct answer.
I hope this helps and please mark me as brainliest!
Hello people ~
Help me with the question attached above.
Thanks in advance!!
Step-by-step explanation:
radius = 10 cm
volume = v
height h cm
[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]
hope it's helpful thanks
If q is inversely proportional to p and q =120 and p=2
Answer:
complete your question please
Pls Help Solve for x
X =
Answer:
the answer is 12
Step-by-step explanation:
it is what it is
A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Yes they are proportional
Answer:
A- yes
Step-by-step explanation:
If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.
What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?
Answer:
The answer is 24 cm.
Step-by-step explanation:
Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
Square root of 100 = c
10 = c.
Hope this helps!
ABC is a right triangle. Find the length of x, the altitude of ABC.
Answer:
b. [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{6}{x} =\frac{x}{18}[/tex]
[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]
[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]
Hope this helps
The length of x, the altitude of triangle ABC is [tex]6\sqrt3[/tex]
How to determine the length of x, the altitude of ABC?From the given figure, we have the following equivalent ratio:
6 : x =x: 18
Express as fraction
6/x = x/18
Cross multiply
[tex]x^2 = 6 * 18[/tex]
Evaluate the product
[tex]x^2 = 108[/tex]
Take the square root of both sides
[tex]x = 6\sqrt3[/tex]
Hence, the length of x, the altitude of ABC is [tex]6\sqrt3[/tex]
Read more about right triangles at:
https://brainly.com/question/2437195
#SPJ2
7/6 x 4/5 = in simplest form
Answer:
heyy do you still need help
Step-by-step explanation:
Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p
−
3
)
Answer:
The answer is 20p – 10 or 10(2p – 1)
Step-by-step explanation:
4(2p + 2) + 6(2p − 3)
8p + 8 + 12p – 18
20p – 10 or 10(2p – 1)
In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.
Step-by-step explanation:
100%+5%=105%
105/100*200=210
100%-6%=94%
94/100*210
I need help answering this
Answer: 80%
Step-by-step explanation:
or 85% but i think its 80%
I need help on this question
Answer:
Step-by-step explanation:
Your brother is twice as tall as your sister.
A player scored 5 less points than Rodger.
8 fewer than the sum of 14 and a number
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 9 \times { \pi}{} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 9\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 9 \times 3.14 = 28.26 \: \: units\dfrac{ }{} \: \: [/tex]
Arc length
L=r[tex]\theta[/tex]L=9πL=28.3unitshelp meeeeeeeeeeeeeee!!!!!!! NO LINKS OR FILLES
Answer:
i think four but im prolly wrong
Step-by-step explanation:
i do not know this answer
One angle of an isosceles triangle measures 74°. What measure is possible for the other two angles?
Answer:
Either 74° and 32°
or 53° and 53°
Step-by-step explanation:
An isosceles triangle has at least two congruent angles.
There are two possibilities in this problem.
1)
The 74° angle is one of the two congruent angles.
Then, one other angle measures also 74°.
The third angle measures 180° - 74° - 74° = 32°
2)
The 74° is not one of the two congruent angles.
Then the other two angles are congruent.
180° - 74° = 106°
The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.
Answer:
Either 74° and 32°
or 53° and 53°
