Answer:
62
Step-by-step explanation:
I did 180-56=124
124/2 which was 62
What is the equation of a line with a slope of 8 and a y-intercept of 6
Answer:
y=8x+6
Step-by-step explanation:
m=slope
c=y-intercept
y=mx+c
y=8x+6
Answer:
y=8x+6
Step-by-step explanation:
What is the value of this expression 14−3? 164 112 12 64
Answer:
11
Step-by-step explanation:
14-3 = 11
you have 14 apples and you eat 3 of them. wow! now you have 11 apples!
How much interest is earned on a principal of $4.62 invested at an interest rate of 7% for two years
Solution,
Principal (P)=$4.62
Rate(R)=7%
Time(T)=2 years
Interest (I)=?
Now,
Interest=P*T*R/100
= 4.62*7*2/100
=64.68/100
=$0.6468
Hope it helps
Good luck on your assignment
Answer:
$0.6468Step-by-step explanation:
[tex]principal(p) = 4.62 \\ rate(r) = 7 \\ time(t) = 2[/tex]
[tex]simple \: \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4.62 \times 7 \times 2}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.6468 \\ [/tex]
Hope this helpsbrainliest appreciatedgood luck! have a nice day!Plot a point on the coordinate plane to represent each of the ratio values
Answer:
Is the time in the graph drawn?
Step-by-step explanation:
PLEASE PLEASE HELP!! WHAT EXACTLY SHOULD I TYPE DOWN IN THE BOX?
The area of a triangle is 1/2 x base x height.
The base is 2 , the height is 4.
Area = 1/2 x 2 x 4 = 4 square cm.
The area of a square is s^2
S is the length of a side, which is 2
Area = 2^2 = 4 square cm
Both shapes have an area of 4 square cm
Answer: 4.5.
Step-by-step explanation for the triangle:
A = 1/2 ⋅ b ⋅ h A = 1/2 ⋅ 3 ⋅ 3 A= 4.5
OR
Step-by-step explanation for the square:
A = a^2 = 2^2 = 4 = 4.5
A plumber used 2.895 m of pipe during a job. How much pipe did he use rounded to 1 decimal place?
Answer to the question:
2.9m
Please someone solve this, this is my third time reposting this question so yea please be quick
Answer:
Step-by-step explanation:
to calculate mean add all the entries in a week ,then divide by 7(the number of days)
i give you hint
mean for week 1=(52+65+... +60)/7
The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid.
a. ( 48 + 48[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
b. ( 48 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
c. ( 48 + 30[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
d. ( 24 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
Answer:
100πcm².None of the options is correctStep-by-step explanation:
Total surface area of a cone [tex]S[/tex] = [tex]\pi r^{2}+\pi rl\\[/tex]
Since the diagram is half of a cone, its surface area will be [tex]S = \frac{\pi r^{2} +\pi rl}{2}[/tex]
r = radius of the cone
l = slant height
From the diagram diameter of the cone = 16m;
r = 16/2 = 8m
l = 17m
[tex]S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}[/tex]
find the value of root 121 + 3 over root 125
The value of the given expression √121 + ∛125 would be 16 which is determined by the square root and cube root properties.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The expression below which is given in the question
⇒ √121 + ∛125
Here 11×11 = 121 and 5×5×5 = 125
⇒ √(11×11) + ∛(5×5×5)
By the square root and cube root properties to get
⇒ 11 + 5
Apply the addition operation,
⇒ 16
Thus, the value of the given expression √121 + ∛125 would be 16.
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w(x) = 2x^3+ 3x; Find w(3)
Answer:
63
Step-by-step explanation:
w(x) = 2x³ + 3x
Put x as 3.
w(3) = 2(3)³ + 3(3)
Solve for the power.
w(3) = 2(27) + 3(3)
Multiply the terms.
w(3) = 54 + 9
Add both the terms.
w(3) = 63
Answer:
63I hope it helps :)
Step-by-step explanation:
[tex]w(x) = 2x^3+ 3x\\w(3)\\w(3) = 2(3)^3 +3(3)\\w(3) = 2(27) +9\\w(3) = 54+9\\w(3) =63[/tex]
Simplify (5+1)²-(11+3²)÷4
Answer:
-13
Step-by-step explanation:
(5+1)²-(11+3²)÷4
(6)-14^2 divided by 4
36-14^2/4
13-196/4
13-49
-13
Answer & Step-by-step explanation:
(5 + 1)² - (11 + 3²) ÷ 4
Following the rules of order of operation, the first thing we have to do is the operations in the parentheses ().
(6)² - (11 + 3²) ÷ 4
Next, solve for your exponents.
36 - (11 + 9) ÷ 4
Next, do the operations in the parentheses ().
36 - (20) ÷ 4
Now, divide -20 by 4.
36 - 5
Subtract 5 from 36.
31
So, your final answer to this equation is 31.
Christopher scored 7 more than two times the questions Mathew scored on the math test. If Christopher scored 87 on the math test, what was Mathew's score?
Answer:
40
Step-by-step explanation:
To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:
C = 2M + 7
(Variables are representative of the first letter of each name)
Seeing as Christopher scored 87, we can put that into the equation and solve for M.
So, the equation will be:
87 = 2M + 7
Subtract 7 from both sides in order to isolate variable M on the right side.
80 = 2M
Now solve for M, which is 40 (divide both sides by 2).
find the coordinates of H' after a reflection across the parallel lines; first across y = -2 and then across y = 2. Answer in form (a,b). Part 7a
Answer: H' = (-4, 4)
Step-by-step explanation:
H = (-4, -4)
reflect across y = -2:
H is 2 units below y = -2 so when reflected it will be 2 units above y = -2
--> the x-coordinate doesn't change the new y-coordinate is: 0
H' = (-4, 0)
reflect across y = 2:
H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2
--> the x-coordinate doesn't change the new y-coordinate is: 4
H'' = (-4, 4)
ABCΔ is an isosceles triangle in which AB=AC=17m and BC=16m . Find the area
Answer: 136 sq. m.
Step-by-step explanation:
Area = (base x height ) / 2
= (17x16)/2
= 272/2 = 136
If one is subtracted from six times a certain number, the result is 47. Find the number.
Answer: The no. is 8
Step-by-step explanation:
Let the no. be x
6x - 1 = 47
6x = 48
x = 8
Answer:
let the certain number be x
6 × x - 1= 47
6x - 1 = 47
6x = 47 + 1
6x = 48
x = 48/6
x = 8
PLEASE PLEASE HELP ME I NEED HELP IM CONFUSED!!!!
( show the work MANDATORY)
WRITE EACH FRACTION AS A DECIMAL. USE A BAR TO SHOW REPEATING DECIMAL.
1.) 7/10
2.) 1/4
3.)-3/10
4.)1/8
5.) 7/30
6.) 7/11
7.)-3/5
Answer:
1. 0.7
2. 0.25
3. -0.3
4. 0.125
5. 0.23
6. 0.64
7. -0.6
Step-by-step explanation:
First divided those fractions, then you got those repeating decimals.
Answer:
1.) 0.7
2.) 0.25
3.) -0.3
4.)0.125
5.)0.233 (bar on top of threes)
6.)0.63 (bar on top of 6 and 3)
7.)-0.6
Step-by-step explanation:
1.) 7 divided by 10
2.)1 divided by 4
3.) -3 divided by 10
4.)1 divided by 8
5.)7 divided by 30
6.)7 divided by 11
7.)-3 divided by 5
A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school's
student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum
number of students that can attend each meeting?
Answer:
Including the princpal and two counselors, only 40 students will be able to attend each meeting.
If the principal and two counselors dont attend, then 41 students can attend with one of their parents.
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
Oy= 4x + 33
Oy=*x + 36
O y = 4x - 16
O y = 4x + 16
Answer:
4x +16 the slope is 4 because its parallel to the other equation
The solution is: the equation of the line that is parallel to the line
y - 1 = 4(x + 3) and passes through the point (4, 32) is y = 4x + 16.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have,
When two lines are parallel, their slope stays the same. thus we have y = 4x (so far)
Then use the point (4, 32) to plug in the coordinates to y = 4x + b
y = 4x + b (because y-intercept changes)
32 = 4(4) + b
32 = 16 + b
b = 32 - 16
b = 16
now, we get,
the y-intercept is 16 and the equation of the line that passes through the point (4,32) and is parallel to the line y = 4x + 13 is y = 4x + 16.
Hence, The solution is: the equation of the line that is parallel to the line
y - 1 = 4(x + 3) and passes through the point (4, 32) is y = 4x + 16.
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Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15
Answer:
2/3, 7/10, 11/15 and 4/5
Step-by-step explanation:
2/3=0.66
7/10=0.7
11/15=0.73
4/5=0.8
Which pair of triangles is congruent?
Answer:
The first pair.
Step-by-step explanation:
3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.
someone help meh plzz
Answer:
1) 229 Teens
2) (12,-2)
A Car is moving on a straight road with velocity 30m/s and is speeding up at constant rate and reaches a velocity of 90m/s. What is the average velocity of the journey? PLZZZ ANSWER
Answer:
60m/s
Step-by-step explanation:
velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is
[90+30] /2
=60 m/s
b) The ratio of boys to girls in a school is 12:25. If there are 120 boys.
(i) how many girls are in the school?
(ii) what is the total number of boys and girls in the school?
Answer:
250 girls in the school and 370 students all total
Step-by-step explanation:
250 girls are in the school and 390 total students in the school.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
The ratio of boys to girls in a school is 12:25
Let, No. of boys in the school = 12x
No. of girls in the school = 25x
Total students in the school = 12x+25x = 39x
Given, there are 120 boys
So, 12x = 120
x = 10
No. of girls in the school = 25x = 25(10)
No. of girls in the school = 250
Total students in the school = 39x = 39(10)
Total students in the school = 390
Hence, 250 girls are in the school and 390 total students in the school.
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Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline) squared (x Superscript negative 18 Baseline) squared (x Superscript negative 3 Baseline) squared (x Superscript negative 2 Baseline) squared x Superscript 6 Baseline x Superscript negative 12 Baseline x Superscript 5 Baseline x Superscript negative 4. Need Help ASAP!
Answer:
[tex](x^{-3} )^{2}[/tex]
[tex]x^6 x^{-12}[/tex]
Step-by-step explanation:
[tex](x^{3} x^{-6} )^{2}[/tex] is the expression given to be solved.
First of all let us have a look at 3 formulas:
[tex]1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}[/tex]
Both the formula can be applied to the expression([tex](x^{3} x^{-6} )^{2}[/tex]) during the first step while solving it.
Applying formula (1):
[tex](x^{3} x^{-6} )^{2}[/tex]
Comparing the terms of [tex](x^{3} x^{-6} )[/tex] with [tex]p^a \times p^b[/tex]
[tex]p=x, a =3, b=-6[/tex]
[tex]\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}[/tex]
So, [tex](x^{3} x^{-6} )^{2}[/tex] is reduced to [tex](x^{-3} )^{2}[/tex]
Applying formula (2):
Comparing the terms of [tex](x^{3} x^{-6} )^{2}[/tex] with [tex](p^a \times q^b)^c[/tex]
[tex]p=q=x, a =3, b=-6, c=2[/tex]
[tex]\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}[/tex]
So, [tex](x^{3} x^{-6} )^{2}[/tex] is reduced to [tex]x^6 x^{-12}[/tex].
So, the answers can be:
[tex](x^{-3} )^{2}[/tex]
[tex]x^6 x^{-12}[/tex]
Answer:
b d
Step-by-step explanation:
Olivia and Garrett each take out at $18,000 loan for a new car. Each how to repay the loan in 5 years. Olivia has interest rate 3.2% per year . Her monthly payment is $308 Because Garrett has a lower credit score he will pay an interest rate of 3.6% per year. His monthly payment will be $311. How much more will an $18,000 loan cost Garrett than Olivia.
Answer:
$180
Step-by-step explanation:
First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:
Total payment= $308*(12*5)
Total payment= $308*60
Total payment= $18,480
Then, you have to calculate the amount that Garrett would have paid at the end of the loan:
Total payment= $311*(12*5)
Total payment= $311*60
Total payment= $18,660
Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:
$18,660-$18,480= $180
According to this, an $18,000 loan will cost Garrett $180 more than Olivia.
A circle has a radius of $14.$ Let $\overline{AB}$ be a chord of the circle, such that $AB = 12$. What is the distance between the chord and the center of the circle?
Answer:
7.2
Step-by-step explanation:
The radius of the circle is 14.
The length of the chord is 12.
Half the length of the chord and radius form a right angled triangle as shown in the diagram below.
We need to find one of the sides of the triangle, d in the diagram.
Using Pythagoras rule:
[tex]14^2 = 12^2 + d^2\\\\196 = 144 + d^2\\\\d^2 = 196 - 144 = 52\\\\d = \sqrt{52} = 7.2[/tex]
The distance between the chord and the center of the circle is 7.2
Answer: 4sqrt10
Step-by-step explanation: The Chord is 12 so half the chord is 6 so the base is 6 and the radius is the hypotenuse, which is 14. and the distance is the missing leg.
so 14^2=6^2+x^2
196=36+x^2
sqrt160=x
4sqrt10=x
A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third side? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m
Answer:
3. 10m
4. 14m
Step-by-step explanation:
Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.
1. 23 m
2. 4m
3. 10m
4. 14m
5. 7m
1 doesn't follow the angle inequality rule.
2 doesn't follow the angle inequality rule.
3 can be the third side.
4 can be the third side
5 doesn't follow the angle inequality rule.
2 X + 3 = X + 1. find the value of x
Step-by-step explanation:
2x + 3 = x + 1
x + 3 = 1
x = -2
Answer:
x= -2
Step-by-step explanation:
2x+3=x+1
-3 -3
------------------
2x = x - 2
-x -x
----------------
x= - 2
A photograph that measures 16 cm by 10 cm is to be framed. The frame has the same width on all sides. (Call this length x. ) The picture and frame combined will have an area that is twice as big as the area of the photo alone. Determine the width of the fame.
Answer: W= 40cm
Step-by-step explanation:
16*10
A=160
160/4
=40
Answer: w=40
Step-by-step explanation:
What is the inverse of f(x) =1/3x +3
Answer:
I think that the answer is C
Answer: D. h(x) = 3x - 6
Step-by-step explanation:
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