Answer:
0.9797
Step-by-step explanation:
100*101% = 101
101*0.97% = 97.97% = 0.9797
HELP ASAP PLZ I NEED IT
Answer:
4. 38 more schools offer basketball than golf.
5. Tennis is offered in the least amount of schools.
Step-by-step explanation:
4. take the number of schools that offer basketball (321) and subtract the number of schools that offer golf (283) to get how many more offer basketball than golf.
5. look at the numbers to the side of the chart and find the lowest number (276). then follow over to the left, and you will find that the least offered sport in schools is tennis.
X=3g+2 make g the subject
[tex]\huge \boxed{g=\frac{x-2}{3} }[/tex]
Answer:
[tex]g=\frac{x-2}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]x=3g+2[/tex]
We can make g the subject by using inverse operations to cancel values out. For example, 2 is being added to 3g. To move it, we can subtract 2 from both sides:
[tex]x-2=3g+2-2\\x-2=3g[/tex]
Now, to move the 3, divide both sides by 3:
[tex]\frac{x-2}{3}=\frac{3g}{3} \\\frac{x-2}{3}=g[/tex]
I hope this helps!
An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Smaller angle = 53.2
Larger angle = 126.8
Step-by-step explanation:
Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this [tex]x + (x-73.6) = 180[/tex]. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.
Find the area of the shaded region 6cm 6cm
When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.
Answer:
730.88
Step-by-step explanation:
Area of the entire circle = pi * r^2
r = 16
Area = 3.14 * 16^2
Area = 803.84
1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84
Area of 1/4 circle =
200.96
the area of the triangle
Area = 1/2 AG * G?
AG and G? are equal
Area = 1/2 * 16^2
Area = 128
Area of 1/4 circle - area of the triangle = area of the shaded portion
shaded portion = 200.95 - 128
Shaded Portion = 72.96
So the area of the unshaded part
unshaded = 803.84 - 72.96
Unshaded = 730.88
factorize: x² + 6x + 5-4y - y²
Answer:
below
Step-by-step explanation:
that is the procedure above
The factorized form of x² + 6x + 5 - 4y - y² is:(x + 1)(x + 5) - (4y + y²)
To factorize the expression x² + 6x + 5 - 4y - y², group the terms and factor them separately.
Rearranging the terms
(x² + 6x + 5) - (4y + y²)
Now let's factor each group separately:
1. Factoring x² + 6x + 5:
The quadratic expression x² + 6x + 5 can be factored into two binomial factors. We look for two numbers that multiply to give 5 and add up to 6 .
These numbers are 1 and 5:
(x + 1)(x + 5)
2. Factoring -4y - y²:
The terms -4y - y² have a common factor of -1.
Factoring out -1 gives
-1(4y + y²)
Combining the factorization of both groups
(x + 1)(x + 5) - 1(4y + y²)
Therefore, the factorized form is (x + 1)(x + 5) - (4y + y²).
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Please help! Identify an equation in point-slope form for the line parallel to y=3/4x-4 that passes through (-1,7).
pls help thank u so very much
Answer:
D
Step-by-step explanation:
The parent function is
[tex]f(x) = \sqrt[3]{x} [/tex]
g(x) translates to the right 2 units so we can represent this as
[tex] \sqrt[3]{x - 2} [/tex]
G(x) is shifted up 1 so our function is now
[tex] \sqrt[3]{x - 2} + 1[/tex]
Given: x - 7 > -2.
Choose the solution set.
A. {x | x R, x > 14}
B. {x | x R, x > -5}
C. {x | x R, x > 5}
D. {x | x R, x > -9}
Given set:- x - 7 > - 2
Solving It:-
x - 7 > - 2
x > -2 + 7 [Here '7' is greater than '-2' So Sign Changes To Positive]
x > 5
So Correct Solution Set Will Be
Option C= {x | x R, x > 5}
Hope This Helps Youfind the missing length indicated
Answer:
25+144+X=180°
169+X=180°
X= 180-169
Therefore, x= 11°
checking process: (25+144+11= 180°)
Answer:
x = 11 i beileve!
Step-by-step explanation:
prove that √2 + √3 is irrational
Step-by-step explanation:
Let √2 + √3 be a / b.
a and b are co - primes.
a and b have 1 as a common factor.
√2 + √3 = a / b
( √2 + √3 )^2 = ( a / b )^2
(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2
2 + 3 + 2.√2.√3 = a^2 / b^2
5 + 2.√2.√3 = a^2 / b^2
2.√2.√3 = ( a^2 / b^2 ) - 5
2.√2.√3 = ( a^2 - 5b^2 ) / b^2
√2.√3 = ( a^2 - 5b^2 ) / 2b^2
a and b are not co - primes, as they more than 1 as a common factor.
So,
√2 + √3 is irrational.
Hence, proved.
State what additional information is required in order to know that the triangle in the image below are congruent for the reason given…
Reason: HL Postulate
Answer:
FG ≈ FL (Both are hypotenuse, supposed to be equal in order to the congruency to become HL)
Answered by GAUTHMATH
Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
I think I just answered that question.
"image" 7 means the functional result is 7, and we need to find the value of x to make this happen.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
4(1)+12(x+3)-6(x-5)=4(12)+4(x)
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)
Step 2: Solve for x
Simplify: 4 + 12(x + 3) - 6(x - 5) = 48 + 4x[Distributive Property] Distribute parenthesis: 4 + 12x + 36 - 6x + 30 = 48 + 4xCombine like terms: 6x + 70 = 48 + 4x[Subtraction Property of Equality] Subtract 4x on both sides: 2x + 70 = 48[Subtraction Property of Equality] Subtract 70 on both sides: 2x = -22[Division Property of Equality] Divide 2 on both sides: x = -11can someone please help
Answer:
see image
Step-by-step explanation:
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the result is a fourth of the original number. Find the original number.
Given:
The tens digit of a two digit number is 5 greater the units digit.
If you subtract double the reversed number from it, the result is a fourth of the original number.
To find:
The original number.
Solution:
Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:
[tex]n=(x+5)\times 10+x\times 1[/tex]
[tex]n=10x+50+x[/tex]
[tex]n=11x+50[/tex]
Reversed number is:
[tex]x\times 10+(x+5)\times 1=10x+x+5[/tex]
[tex]x\times 10+(x+5)\times 1=11x+5[/tex]
If you subtract double the reversed number from it, the result is a fourth of the original number.
[tex]11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)[/tex]
[tex]11x+50-22x-10=\dfrac{1}{4}(11x+50)[/tex]
[tex]40-11x=\dfrac{1}{4}(11x+50)[/tex]
Multiply both sides by 4.
[tex]160-44x=11x+50[/tex]
[tex]160-50=11x+44x[/tex]
[tex]110=55x[/tex]
Divide both sides by 55.
[tex]\dfrac{110}{55}=x[/tex]
[tex]2=x[/tex]
The unit digit is 2. So, the tens digit is [tex]2+5=7[/tex].
Therefore, the original number is 72.
6. Solve the triangle by finding the length of DF and the measures of all the angles. For side lengths, round to the
nearest tenth. For angles, round to the nearest degree. (2 points)
D
5 ft
E
DF =
D
LE=
5.83 ft
ZF =
F
Answer:
∠F = 59°
∠E = 31°
DF = ≅ 3 (2.98)
Step-by-step explanation:
Correct and fastest answer gets brainest! 12 divided 2/5
30
Answer:
12÷2/5=12*5/2=30 is a required answer
Answer:
30
Step-by-step explanation:
Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?
Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
The difference between 15 and 9 is subtracted from 5 times the sum of 7 and 3
Answer:
44
Step-by-step explanation:
The difference between 15 and 9 is 6. 5 times the sum of 7 and 3 is 50 because 7+3=10 and 10 times 5 is 50. So if you subtract the difference between 15 and 9 from 50 you get 44.
The function f(t) = 3 - t shows the cost of an ice cream sundae ($) with a different number of toppings (t). What is the slope of the function?
Answer:
-1
Step-by-step explanation:
are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.
but as it is written, the slope is -1.
the slope of a line is always the factor of the variable in the equation.
it is the ratio of y/x indicating how many units y is changing for a given change of x.
in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).
so, -1/+1 = -1
The slope of the function f(t) = 3 - t is -1
What is function?"It defines a relation between input and output values."
What is the slope of the function?"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."
For given question,
We have been given a function f(t) = 3 - t
We need to find the slope of the function.
[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]
Therefore, the slope of the function f(t) = 3 - t is -1
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A house on the market was valued at $472,000. After several years, the value increased by 19%. By how much did the house's value increase in dollars? What is the current value of the house?
Step-by-step explanation:
Increase in dollars
19/100 x 472.000 = $89,670
and the current value house is $472,000 + $89,670 = $561,680
Can someone help please please
Answer:
c!
Step-by-step explanation:
what is (x − 3)(x − 5) = 35
Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
Easton is deciding between two landscaping companies for his place of business. Company A charges $25 per hour and a $150 equipment fee. Company B charges $35 per hour and a $100 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.
Answer:
5 hours
Step-by-step explanation:
Company A:
Charge for an hour =$ 25
Charge for 't' hours = 25 *t = 25t
Total cost = Equipment fee + charge for t hours
AA = 150 + 25t
Company B:
Charge for an hour =$ 35
Charge for 't' hours = 35 *t = 35t
Total cost = Equipment fee + charge for t hours
BB = 100 + 35t
BB = AA
100 + 35t = 150 + 25t
Subtract 25t from both sides
100 + 35t - 25t = 150
100 + 10t = 150
Subtract 100 from both sides
10t = 150 - 100
10t = 50
Divide both sides by 10
t = 50/10
t = 5
Tre and Hector want to calculate the maximum possible throw at this field.
They calculate that the farthest point on the field would be the center fielder standing back at the dead center wall at point (322, 322). Suppose the center fielder threw the ball from here to home base.
How far is the throw?
Answer:
[tex]d=455.38~units[/tex]
Step-by-step explanation:
The coordinates of the dead center of the field, [tex]D\equiv (322,322)[/tex]
Home base in a coordinate system is always the origin, [tex]O\equiv(0,0)[/tex]
The center fielder threw the ball form the dead center to the home base, hence the distance of throw:
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]d=\sqrt{(322-0)^2+(322-0)^2}[/tex]
[tex]d=455.38~units[/tex]
Answer:Hector threw the ball 65 feet while Tre threw the ball 63 feet far
Step-by-step explanation:
The farthest throw would probably be around 450 feet
once again i’m in a pickle please help
Answer:
19
Step-by-step explanation:
You will need expand so you can plug in the givens
Quotient rule: log(b^7)-[log(a^5c^6)]
Product rule: log(b^7)-[log(a^5)+log(c^6)]
Distribute: log(b^7)-log(a^5)-log(c^6)
Power rule: 7log(b)-5log(a)-6log(c)
Plug in: 7(4)-5(3)-6(-1)
Simplify: 28-15+6
Simplify: 13+6
Simplify: 19
SOMEONEEEE HELPPP MEEEE OUTTTTTTT!!!!!
Answer:
4/3
Step-by-step explanation:
Since this is a right triangle,
tan C = opp side / adjacent side
tan C = 36/ 27
tan C = 4/3
pls answer quick it's gr 9 academic math lol
Answer:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Step-by-step explanation:
when you add powered numbers together, it does not multiply it, as your example:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Hi there!
Error 1
[tex](3^3+3^2)^2\\= (3^5)^2[/tex]
The student added the exponents of 3³ and 3² and wrote 3⁵. This rule can only be applied to exponents with the same base that are being multiplied. 3³ and 3² were being added, not multiplied, so this rule can't be applied.
Error 2
[tex](3^5)^2\\= 3^7[/tex]
When a power has a power, we multiply them, not add. Here is the correct way of doing it:
[tex](3^5)^2\\= 3^5^*^2\\= 3^1^0[/tex]
Error 3
[tex]3^7\\= 21[/tex]
The student multiplied 3 and 7 to get 21, but 3⁷ actually means 3 multiplied by itself 7 times. The correct answer for this part would be 2187.
I hope this helps!
What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)
Answer:
1,3
Step-by-step explanation:
Answer:
(4, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{2+5}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = (4, 3.5 )
