The solution of the given equation r = 4g + 7 for g will be g = r/4 - 7/4.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
r = 4g + 7
Subtract by 7 on both sides,
r - 7 = 4g
Divide by 4 into both sides as
(r - 7)/4 = (4g)/4
r/4 - 7/4 = g
Hence "The solution of the given equation r = 4g + 7 for g will be g = r/4 - 7/4".
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3. The figure below is a composite shape that consists of a semicircle and an equilateral triangle (triangle
with sides that are all equal). Find the perimeter and area of the composite shape. Use 3.14 for pi.
Perimeter:
4cm
5cm
Area:
Answer:
See explanation below
Step-by-step explanation:
Area = Area of triangle + Area of the semi circle
Area of triangle = 1/2bh
Area of triangle = 1/2 *(5/2)(4)
Area of triangle = 1/2(2.5)*4
Area of triangle = 2 * 2.5
Area of triangle = 5cm^2
Area of semicircle = πr²/2
r = 2.5cm
Area of semicircle =(3.14)(2.5)²/2
Area of semicircle = = 3.14 * 4.5
Area of semicircle = 9.8125cm^2
Area pf the figure = 5+9.8125
Area pf the figure = 14.8125cm^2
For the perimeter
Perimeter of the semicircle = 2πr
Perimeter of the semicircle = 2(3.14)(2.5)
Perimeter of the semicircle = 15.7cm
Perimeter of the semicircle = = 15.7 + 5 + 5
Perimeter of the semicircle = 25.7cm
What is the slope of a line that passes through the two points (12, -18) and (11,12)
Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y
Answer:
Whichever one equals 3y - 3
Step-by-step explanation:
I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.
Carrie drew a scale drawing of the auditorium. The stage is 3 inches wide in the drawing. The actual stage is 30 feet wide. What scale did Carrie use for the drawing?
Answer:
1 : 120
Step-by-step explanation:
Given that ;
Actual width = 30feets
Width in drawing = 3 inches
Recall :
1 foot = 12 inches
Actual width in inches : (30 * 12) = 360 inches
Comparing actual width to drawing width
3 inches : 360 inches
1 : 120
Scale used is :
1 : 120
A scientist completed
1
3
page of a report each hour. The report was 5 pages long. How long did it take the scientist to complete the report?
A.
1
8
hour
B.
1
15
hour
C.
8 hours
D.
15 hours
Answer:
D 15
Step-by-step explanation:
it takes her an hour for 1/3 of a page. 1/3 x 3 = 3. 3x5 = 15
A rectangular lawn 40 m by 20 m is surrounded all around outside by a path which is 3 m wide. The area of the path is _____ sq. m
Answer:
The area of the path is 626 square meters.
Step-by-step explanation:
Area of ABCD (of the rectangle)
Given length = 40m
Given breadth = 20m
Area = Length × breadth
= 40m × 20m
= 800m^2
External path = 3m wide
Length =40m+3m+3m=46m
Breadth = 25m+3m+3m= 31m
Area of PQRS= Length × breadth
46m ×31m = 1426m^2
Area of path = Area of PQRS - Area of ABCD
= 1426m^2 - 800m^2
= 626m^2
The area of the path is 626 square meters.
hope this helps :)
help me noww i neex helppppp
Please answer and if you do I'll give you brainliest. <3
Answer:
guy above me is right
Step-by-step explanation:
(10x2x1/1000)+(10x4x1/100)+(10x3x1/10)+(10x8x1)
Answer:
10x9+110x5+x4+1100x3
Step-by-step explanation:
calculator
How many square floor tiles of side 1/2m are needed to cover the school hall, excluding the room, shown in the diagram below. Please show ALL working.
Answer:
Step-by-step explanation:
The number of pieces of cat food in a one-cup scoop is approximately Normally distributed with a mean of 344 pieces and a standard deviation of 16 pieces. If a random sample of 28 scoops of cat food is selected, what is the probability that the mean number of pieces will be more than 350 pieces? 0.0236 0.3538 0.6462 0.9764
Answer:
0.0236
Step-by-step explanation:
took the quiz
help me please! i am struggling:(
Answer: A)
In order to inscribe a square in a circle using only a compass and straight edge, you must first draw a tangent
Step-by-step explanation:
have a nice day!! ^_^
Slope intercept form of points 0, -4 and -1, 4
Answer:
[tex]y=\frac{0}{-1} -4[/tex]
Step-by-step explanation:
first, you have to find the slope, and to do that you use this equation [tex]\frac{y2-y1}{x2-x1}[/tex]
so, now to insert your points (0,-4), (-1,4)
(x1,y1) (x2,y2)
[tex]\frac{4-4}{-1-0} = \frac{0}{-1}[/tex]
now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4
- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]
therefore, the slope-intercept form is y=[tex]\frac{0}{-1}[/tex] -4
[ps, your slope is a zero slope :)]
Answer:
y = - 8x - 4
Step-by-step explanation:
y = mx + b
"m" is slope, "b" is y-intercept.
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~~~
(0, - 4) are coordinates of y-intercept.
( - 1, 4)
m = [tex]\frac{4 + 4}{-1-0}[/tex] = - 8
y = - 8x - 4
Can someone plz help me with this one problem plzzzzz I’m being timed plz hurry!!!!!!!
Answer:
14, 18, 20
Step-by-step explanation:
You have to replace the number in the "s" column with the "s" in the problem. For example the first number in the table is 2 so you have to put 2 into the problem then add it with 12 and you get 14.
9³•9⁴ [?]
-------- • 9³ = 9
9²
9514 1404 393
Answer:
9⁸
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
[tex]\dfrac{9^3\cdot9^4}{9^2}\cdot9^3=9^{3+4-2+3}=\boxed{9^8}[/tex]
Answer:
9
Step-by-step explanation:
Pls help I don’t understand I’ll give brainliest
Answer:
[tex] - 32[/tex]
Step-by-step explanation:
1) Simplify
[tex] \sqrt{32} \: to \: 4 \sqrt{2} [/tex]
[tex] - 8 \sqrt{2} \times \frac{1}{2} \times 4 \sqrt{2} [/tex]
2) Use this formula: a/b × c/d = ac/bd.
[tex] - \frac{8 \sqrt{2} \times 1 \times 4 \sqrt{2} }{2} [/tex]
3) Simplify.
[tex] - \frac{32 \sqrt{2 \sqrt{2} } }{2} [/tex]
4)
[tex]simplify \: 32 \sqrt{2 } \sqrt{2} \: to \: 32 \sqrt{4} [/tex]
5) Since 2 × 2 = 4, the square root of 4 is 2.
[tex] - \frac{32 \times 2}{2} [/tex]
6) Simplify 32 × 2 to 64.
[tex] - \frac{64}{2} [/tex]
7) Simplify 64/2 to 32.
[tex] - 32[/tex]
Therefor, the answer is option three -32
what is the circumference of a DVD disc?
What is 7/8+3/4 I need help
Answer: 1 5/8
Step-by-step explanation: 3/4 times 2 on the denominator and numerator is 6/8 and 7/8 plus 6/8 is 1 whole and 5/8ths
have i done this right?? also, can you help with the unanswered question?? i’ll give brainlist and stuff...
Answer:
Yes you did all correct i am sure
Show by parentheses that the sum of x and y is to be subtracted from 4 times the sum of x and y
Answer:
4(x+y)-(x+y)
Is that your answer
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Answer:
75 boys
Step-by-step explanation:
5:4
? : 60
60/4= 15
?/5=15
*5 *5
?= 75
Answer:
75
Step-by-step explanation:
To get from 4 to 60, you need to multiply by 15. If you want to find out how many boys there are, simply multiply 5 by 15, which you get 75.
What transformation to the linear parent function, f(x) = x, gives the function
g(x) = x - 9?
O A. Shift 9 units right.
O B. Shift 9 units left.
O C. Shift 9 units up.
D. Vertically stretch by a factor of 9.
Answer:
D. Horizontal stretch by a factor of 3.
Step-by-step explanation:
I hope this helps! :D
Answer:
Shift 9 units right
Step-by-step explanation:
HELP ASAP
Find P (Junior|Boy) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 4 8
[?]
Sophomore 5 7 12
Junior 2 3 5
Senior 1
4 5
12 18
Answer:
Step-by-step explanation: 1/6
The Probability of junior boys will be [tex]\frac{1}{6}[/tex] .
What is Probability ?Probability is the ratio of the number of possible outcomes to the total number of outcomes.
We have,
Total number of boys = 12
Total Junior boys = 2
So,
Probability [tex]=\frac{number\ of\ possible\ outcomes }{total\ number\ of\ outcomes}[/tex]
So,
P (Junior Boy) [tex]=\frac{number\ of\ junior\ boys}{total\ number\ of\ boys}[/tex]
So,
P (Junior Boy) [tex]=\frac{2}{12}[/tex]
i.e.
P (Junior Boy) [tex]=\frac{1}{6}[/tex]
So,
The Probability of junior boys is [tex]\frac{1}{6}[/tex] .
Hence, we can say that the Probability of junior boys will be [tex]\frac{1}{6}[/tex] .
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the high temperature today will be 62° when night time comes the temperature will drop by 40 degrees by 4 a.m. the temperature will drop an additional 40° what is the temperature at 4 a.m.
Answer:
87. because i took this on iready.
Step-by-step explanation:
DOES THIS HAVE ONE SOLUTION , NO SOLUTIONS ,OR INFINITELY MANY SOLUTIONS?! 30 points
Answer:
INFINITELY MANY SOLUTIONS
Step-by-step explanation:
INFINITELY MANY SOLUTIONS
if p(x)=x2+2x-5 and qıx)=x-3, what is p(x) - g(x)?
A.2x² - 2
B.2x²-8
C.x²+x-2
D.x²+x-8
Answer:
C. x2+x-2
Step-by-step explanation:
A truck rental company charges $35 per day to rent a truck plus $.35 per mile driven. James rented a truck for three days. The total cost was $191.10. How many miles did James drive the
truck?
Answer:
246miles
Step-by-step explanation:
pls give brainliest :)
Answer:
246 miles
Step-by-step explanation:
$191.10-$105 (105 is the total cost of truck rental for 3 days)
=$86.1
Then
$86.1÷0.35
=246
Bags of popcorn cost $0.50 each, and bags of chips cost $0.75 each. The equation 0.50x + 0.75y = 10 represents the number of popcorn and chip bags that can be bought with $10. If no chips are bought, how many popcorn bags can be purchased? *
Answer:
20
Step-by-step explanation:
If no chips are bought, then:
0.5x + 0.75(0) = 10
0.5x = 10
x = 20
what is area how do you find the area if a rectangle
Answer: To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
Answer:
If it is a rectangle you just do A=w*h
width times height
you don't have a picture showing the rectangle so I can't find the area
Step-by-step explanation:
Will give Brainly! Help!
Answer:
The picture I attached will have the line already drawn for you.
Step-by-step explanation: