Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90° , then
5x + 7 + 8x - 21 = 90 , that is
13x - 14 = 90 ( add 14 to both sides )
13x = 104 ( divide both sides by 13 )
x = 8
Then the measure of the angles are
5x + 7 = 5(8) + 7 = 40 + 7 = 47°
8x - 21 = 8(8) - 21 = 64 - 21 = 43°
--------------------------------------------------------
let the angle be x then its complement is (90 - x) and
x = 2(90 - x) + 21
x = 180 - 2x + 21
x = 201 - 2x ( add 2x to both sides )
3x = 201 ( divide both sides by 3 )
x = 67
The measure of the angle is 67°
What is the ratio of all the what is the ratio of all the
marbles to yellow marbles? State the letter of the correct answer.
A. 2:15
B. 1:15
C. 15:1
D. 15:2
The difference between a number and 7 can be written as
Answer:
7-n
Step-by-step explanation:
The difference means to subtract the unknown number from 7.
I got he first day and can’t remember how to do this??
Answer:
area= 9 pi km²
circumference= 6 pi km
Step-by-step explanation:
area = pi r ²
so pi × 3²
area = 9 pi km²
circumference = d × pi
so 6 pi km
By which method can the right triangles below be proven congruent?
Select the best answer from the choices provided.
А.LA
B.LL
C.HL
D.The triangles cannot be proven congruent.
Answer: hl
Step-by-step explanation:
I think but I’m prob wrong
It costs $7 for a ticket to the Pike
football game and $2.50 per
snack. Write a function rule in
function notation for this
situation.
Answer:
let the number of snacks bought be x
f(x) = 7 +2.5(x)
=> f(x) is the amount you spend in total
What is -0.4 as a fraction or a mixed number in simplest form?
Simplify the following expression
by combining like terms.
Answer:
5d² - 3d
Step-by-step explanation:
Given
4d² + d² - 2d - d ← collect like terms
= (4 + 1)d² + (- 2 - 1)d
= 5d² + (- 3)d
= 5d² - 3d
Need help is correct and with explanation will give BRILLIANT CROWN!!! Help Pls
Answer:
We can cancel out A and B because there is no distributive property, and then I would say its C or the 3rd one.
Step-by-step explanation:
I used the cancelling out method.
The length of a rectangle is three times its width. It the perimeter of the rectangle is 96m, find the length and breadth of the rectangle
Let the width, w = x m
So, according to the Question,
The length, l = 3x m
Perimeter of a rectangle = 2 (l + w) m
Perimeter of the rectangle = 96 m
It's equation will be,
2 (3x + x) m = 96 m
or, 4x m = 96/2 m
or, 4x m = 48 m
or, x m = 48/4 m
or, x m = 12 m
Therefore, the width and the length of the rectangle is 12 m and 3(12) m = 36 m respectively.
Find the minimum value of the function:
f(x) = x2 + 9x – 16.
Find f(-3) if f(x) = -2x^2 + x + 3 and g(x) = -2x + 1
HELP please explain how to do it
Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).
f(-3) = -2(-3)^2+(-3)+3
f(-3) = -2(9)+(-3)+3
f(-3) = -18-3+3
f(-3) = -18 is your final answer
In the expression (x2 + 3), the base is _____.
Answer:
x is the base in (x^2 + 3)
Step-by-step explanation:
The base is x because it is being raised to a square or to the 2nd power in (x^2 + 3). The base of an expression or exponent is always the number that is being raised to a power.
In the expression (x2 + 3), the base is x.
HHHHEEELPPPPPPPPPPRPOFE
Answer:
12.75
Step-by-step explanation:
Given the equations
x - y = 3.5 → (1)
[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )
x + y = 22 → (2)
Add (1) and (2) term by term to eliminate y
2x + 0 = 25.5
2x = 25.5 ( divide both sides by 2 )
x = 12.75
Substitute x = 12.75 into (2)
12.75 + y = 22 ( subtract 12.75 from both sides )
y = 9.25
The 2 numbers are 12.75 and 9,25
With the larger number being 12.75
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fast
Answer:
m = 2Step-by-step explanation:
[tex] \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} [/tex]
[tex] = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} [/tex]
[tex] = > \frac{5m - 10}{6} = \frac{5m - 10}{2} [/tex]
[Cross Multiplication]
=> 2(5m - 10) = 6(5m - 10)
=> 10m - 20 = 30m - 60
=> 60 - 20 = 30m - 10m
=> 40 = 20m
[tex] = > m = \frac{40}{20} [/tex]
=> m = 2 (Ans)
please answer these question I will mark brainliest please only do part c and f
Answer:
c.15+2z/6x-12y
f.7a+b/4a-6b
Step-by-step explanation:
z+1/x-2y - 2x-3/2x-4y + z/3x-6y
z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)
6(z+1)-3(2z-3)+2z
15+2z/6x-12y
3a/2a-3b - a+b/2(-3b+2a)
6a+a+b/2(2a-3b)
7a+b/4a-6b
Factor 3x^3 + 27x^2 + 60x
Answer: 3x(x+4)(x+5)
Step-by-step explanation:
The height of
the
glass
is 7cm and radius is 3cm if the glass is half filled with water find the height of the water.find the area of the water
Hey there! I'm happy to help!
This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).
Our radius is 3cm.
3
We square it.
3²=9
Multiply by 3.14.
9×3.14=28.26
Now that we have our circle base area, we multiply it by the height (7 cm).
28.26×7= 197.82
This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.
197.82/2=98.91
We can also multiply our circle base by 3.5, which will give us half of the full height.
So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.
Have a wonderful day and keep on learning! :D
5l 250ml ratio
........................
[tex]\\ \rm\longmapsto \dfrac{5L}{250mL}[/tex]
[tex]\\ \rm\longmapsto \dfrac{5000mL}{250mL}[/tex]
[tex]\\ \rm\longmapsto \dfrac{20}{1}[/tex]
[tex]\\ \rm\longmapsto 20:1[/tex]
Simplify root 20 divided by root 5
Answer:
2
Step-by-step explanation:
√20 ÷ √5
√20/√5
=> √(20/5)
=> √4
=> 2
Your bill for a car repair is $166.50 The mechanic worked on your car for 15 hours What
Is the hourly charge for labor? Set up the equation and solve
Answer:
The hourly charge for labor is $11.10.
Step-by-step explanation:
Assuming there is no flat rate
166.50/15 = h
h represents the hourly charge
h = 11.10
please answer this, I'd appreciate it
Simplify too
Answer:
A.) w² + 3w in²
B.) 28 in²
Step-by-step explanation:
A.)
Let w = width and l = length.
The area of a rectangle can be written as length · width (base · height). The problem informs us that the length of the rectangle is 3 inches greater than the width. Therefore, l can also be written as w + 3. We can use this to form a polynomial that represents the area of the rectangle.
A(rectangle) = lw = (w + 3) · w = w² + 3w
B.)
Use the polynomial we previously found to find the area.
A(rectangle) = (4)² + 3(4) = 16 + 12 = 28 in²
Model:
b. (x + 3)(x^2 – 3x + 27 )=
(x+3)(x^2-3x+27)
x^3-3x^2+27x+3x^2-9x+81
x^3+19x+8
Hi how to solve this question n isquereroot of 2 n-5; where n=4
Answer:
Remove the radical by raising each side to the index of the radical.
n= 25.
Find the equation of the line passing through the point (-4, 4) and is perpendicular to the line y = 2x - 5.
Answer: y = (-1/2)x + 2
Concept:
When two lines are perpendicular to each other, their slopes are negative reciprocals.
The reciprocal of a number is 1 divided by the number.
In other words, it is the image opposite of a term.
Solve:
Given information
Given line = y = 2x - 5
Point = (-4, 4)
Find the slope of the line
Given the line is perpendicular to the line y = 2x - 5, the slope of the line would be negative reciprocal of the line y = 2x - 5.
Slope of line [y = 2x - 5] = 2
Slope of new line = (-1/2)
Find the y-intercept by substituting the given point
Equation of the new line: y = (-1/2)x + b
b = y-intercepty = (-1/2)x + b
4 = (-1/2) (-4) + b
4 = 2 + b
4 - 2 = 2 + b - 2
b = 2
Finalize the equation of the line
Slope = -1/2
Y-intercept = 2
[tex]\boxed{y=-\frac{1}{2}x+2 }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A pet store had 698 goldfish and 606 clown fish. To the
nearest hundred, what is the total number of both types of
fish?
Answer:
700 and 600
Step-by-step explanation:
please give me brainly <3
Lauren spent $3.26 for lunch on Tuesday. She spent $3.56 on Wednesday and $3.29 on Thursday. Order the prices from greatest to least. Draw a number line to support my the answer
The number line visually shows the order of the prices, with $3.56 on the right (the greatest), followed by $3.29, and then $3.26 on the left (the least).
$3.56 $3.29 $3.26
|------------|------------|
To order the prices from greatest to least, we'll compare the amounts spent on each day:
1. Wednesday: $3.56
2. Thursday: $3.29
3. Tuesday: $3.26
So, in order from greatest to least, the prices are:
$3.56 > $3.29 > $3.26
Now, let's represent this order on a number line:
$3.56 $3.29 $3.26
|------------|------------|
The number line visually shows the order of the prices, with $3.56 on the right (the greatest), followed by $3.29, and then $3.26 on the left (the least).
To know more about number:
https://brainly.com/question/23178874
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In a mathematical competition, there are 2021 participants. Gold, silver, and bronze medals are awarded to the winners as follows: the number of silver medals is at least twice the number of gold medals: i the number of bronze medals is at least twice the number of silver medals: ii) the number of all medals is not more than 40% of the number of participants. The competition director wants to maximize the number of gold medals to be awarded based on the given conditions. In this case what is the maximum number of bronze medals that can be awarded?
Here we have some given restrictions that affect the number of medals, using these, we want to find the maximum number of bronze medals that can be awarded.
We will find that:
The maximum number of bronze medals that can be awarded is 535
Now let's see how we can get that.
Let's define the variables:
G = number of gold medals.
S = number of silver medals.
B = number of bronze medals.
Now we can see what information we have.
There are 2021 participants.
The number of silver medals is at least twice the number of gold medals.
S ≥ 2*G
The number of bronze medals is at least twice the number of silver medals:
B ≥ 2*S.
The number of all medals is not more than 40% of the number of participants.
The total number of medals is (G + S + B)
40% of the total number of participants is:
(40%/100%)*2021 = 0.4*2021 = 808.4
Then we have:
G + S + B ≤ 808.4
We can rewrite the above inequality as:
G + S + B ≤ 808.
Then we have 3 inequalities:
S ≥ 2*G
B ≥ 2*S
G + S + B ≤ 808
Now we want to maximize the number of gold medals.
This means that the total number of medals should be exactly 808 (the maximum number of total medals) so we have:
G + S + B = 808.
Also, if we want to maximize the number of gold medals, then we need to minimize the number of silver medals and the number of bronze medals, such that we get:
S = 2*G
B = 2*S
Now we have 3 equations:
G + S + B = 808
S = 2*G
B = 2*S
Replacing the third equation in the first one, we get:
G + S + 2*S = 808
G + 3*S = 808
Now we can replace:
S = 2*G
in the above equation to get:
G + 3*(2*G) = 808
G + 6*G = 808
7*G = 808 =
G = 808/7 = 115.43
But we can have 0.43 of a gold medal, so we need to round down to the next whole number:
G = 115
Now, with this restriction, we want to find the maximum number of bronze medals.
This means that we need to minimize the number of silver medals, so we use:
S = 2*G = 2*115 = 230
And the number of bronze medals will be such that:
B + G + S = 880
B + 115 + 230 = 880
B = 880 - 115 - 230 = 535
The maximum number of bronze medals that can be awarded is 535
If you want to learn more, you can read:
https://brainly.com/question/23206637
The expression 146 - 144 is equal to
O 142
1
14 10
Step-by-step explanation:
I am sure you mistyped something here and/or there is something missing.
because 146 - 144 = 2
and nothing in the answer options shows anything like it.
now, if the problem actually said for example
14×6 - 14×4
that could be expressed as
14×(6-4) = 14×2
and that could be the first answer option (also with missing multiplication symbol).
Evaluate the expression
Answer:
-4/7
Step-by-step explanation:
5(-1)^2-(-4)^2+3 / 2(-1)-4(-4)
=[5-16+3]/[-2+16]
=-8/14
please solve these please
Answer:
A no. ans is 17a/20
B no. ans is 10c-7d/35
C no. ans is +1/−1⋅2/2⋅−1⋅3/2⋅−1⋅4
I only know this much answer.Sorry. but hope this is helpfull.