Answer:
40 field goals
Step-by-step explanation:
Represent 2-point with x and 3-point with y;
Given
[tex]x = 3y[/tex]
[tex]2x + 3y =90[/tex]
Required
Determine x and y
[tex]x = 3y[/tex]
[tex]2x + 3y =90[/tex]
Substitute 3y for x in [tex]2x + 3y =90[/tex]
[tex]2(3y) + 3y = 90[/tex]
[tex]6y + 3y = 90[/tex]
[tex]9y = 90[/tex]
Divide both sides by 9
[tex]y = 10[/tex]
Substitute 10 for y in [tex]x = 3y[/tex]
[tex]x = 3 * 10[/tex]
[tex]x =30[/tex]
The number of field goals = x + y
[tex]x + y = 30 + 10[/tex]
[tex]x + y = 40[/tex]
Hence, the number of field goals is 40
helppp........!!!,,,ASAP
Answer:
Its a rational number
Step-by-step explanation:
because a rational number has fractions and -22 is a fraction or a decimal
Suppose the population of a certain state is 6,215,000. If 435,050 are children under 5 years of age, 4,972,00 are between the ages of 5 and 65, and 807,950 are over 65, what percentage of people make up each age group?
(A) under 5: ___
(B) between 5 and 65: ___
(C) over 65: ___
Answer:
A) 435,050/6,215,000= 0.07= 7%
B) 4,972,000/6,215,000= 0.8= 80%
C) 6,215,000-(4,972,000+435,050)= 807,950
807,950/6,215,000=0.13=13%
Solve the inequality. Explain all steps and identify the properties used. 3a − 4 ≤ 5
Answer:
[tex]\boxed{a \leq 3}[/tex]
Step-by-step explanation:
Hey there!
Well to find "a" we need to single it out.
3a - 4 ≤ 5
+ 4 to both sides
3a ≤ 9
Divide both sides by 3
a ≤ 3
Hope this helps :)
a ≤ 3 is value of a inequality.
What are an example of inequality?
In mathematics, inequalities describe the connection between two values that are not equal. Equal does not imply inequality.Typically, we use the "not equal symbol ()" to denote an inequality between two numbers.But different inequalities are used to compare the values to determine if they are less than or higher than.3a - 4 ≤ 5
+ 4 to both sides
3a ≤ 9
Divide both sides by 3
a ≤ 3
Learn more about inequality
brainly.com/question/28823603
#SPJ2
Mr. Lopez bought 17 boxes of ceramic tiles for his patio. Each box contains 24 tiles. He also bought 32 glass tiles. He broke 13 tiles. Which expression shows the best estimate of the total number of tiles Mr. Lopez has now to cover his patio? Please help.
Answer:
17⋅24+32-13=427
Step-by-step explanation:
17⋅24=408 408+32=440 440-13=427
Can someone help me please
Answer:
8.17.4 miles per 1 gallons 9. 2 miles per second.
Step-by-step explanation:
so you have yo divide 384 divided by 22 then boom.
Once again you have to divide 60 which is 1 hour (60 minutes is an hour) to the 32 miles. :)
Problem 8
Answer: Approximately 17.45 miles per gallon-----------------------
Explanation:
You divide the number of miles over the number of gallons to get this result
384/22 = 17.45
Another way you could think of it is to say
384 miles = 22 gallons
Then you divide both sides by 22 getting
17.45 miles = 1 gallon
Showing that 1 gallon of gas gets you roughly 17.45 miles
=============================================
Problem 9
Answer: Approximately 46.933 feet per second---------------------
Explanation:
Check out the attached diagram below. For the first column, I placed "32 miles" over "1 hour" to indicate "32 miles per hour". The second column is from the idea that 1 hour = 60 minutes. This helps us convert from hours to minutes. Note how the "hour" units cancel when we divide.
The third column helps us convert from minutes to seconds. We have the "minutes" units cancel out when they divide. It's important that one "minute" unit is on top, and the other is on the bottom. Finally, the last column helps us convert from miles to feet since 1 mile = 5280 feet.
Once this table formed, you multiply the numbers across the top to get 32*1*1*5280 = 168960
And you multiply everything along the bottom row: 1*60*60*1 = 3600
The last step is to divide the two results (top row over bottom row) getting
168960/3600 = 46.933 approximately
So 32 mph converts to roughly 46.933 ft per second.
Side note: the conversion method I used is called the "railroad method" or "railroad tracks method" as the table lines form what appears to be railroad tracks of sorts.
Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will hemp show that circle A is similar to circle B?
A. Dilate circle A by a scale factor of 3.
B. Translate circle A using the rule (x - 3, y + 6).
C. Rotate circle A 180 About the center.
D. Reflect circle A over the y-axis.
Answer:
The correct option is;
A Dilate circle A by a scale factor of 3
Step-by-step explanation:
The given parameters are;
The center of circle A is (4, 6)
The radius of circle A = 5
The center of circle B = (1, 0)
The radius of circle B = 15
Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3
Radius of circle A = 5,
Radius of circle B = 15 = 3 × 5
Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.
For a circle to be similar dilate circle A by a scale factor of 3
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given parameters are;
The centre of circle A is (4, 6)The radius of circle A = 5The center of circle B = (1, 0)The radius of circle B = 15Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3
The radius of circle A = 5,
Radius of circle B = 15 = 3 × 5
Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.
To know more about circles follow
https://brainly.com/question/24375372
#SPJ5
Find the area of the triangle.
22 m
14 m
Answer:
Area = 154 m²
Step-by-step explanation:
i pressume base = 14 m
height = 22 m
Area of a triangle = 1/2 * base * height
Area = 1/2 * 14 * 22
Area = 154 m²
The area of the triangle is given by the equation A = 154 m²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the triangle be represented as A
Now , the value of A is
Let the height of the triangle be h
The value of h = 22 m
Let the base of the triangle be b
The value of b = 14 m
Now , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of the triangle A = ( 1/2 ) x 22 x 14
Area of the triangle A = 154 m²
Therefore , the value of A is 154 m²
Hence , the area of the triangle is 154 m²
To learn more about triangle click :
https://brainly.com/question/16739377
#SPJ2
You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?
Answer:
They "y" value = (4 * 24) + 4 which equals
100
Step-by-step explanation:
[tex]-2m-5m=9m-12[/tex]
Answer:
[tex] - 2m - 5m = 9m - 12 \\ ⟶ - 2m - 5m - 9m = - 12 \\ ⟶ - 16m = - 12 \\ ⟶ - m = \frac{ - 12}{16} \\ ⟶ - m = \frac{ - 6}{8} \\ ⟶ m = - ( - \frac{6}{8} ) \\ ⟶m = \frac{6}{8} [/tex]
[tex]m=0.75[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 0.75}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2m - 5m = 9m - 12}[/tex]
Collect like terms
⇒[tex] \sf{ - 7m = 9m - 12}[/tex]
Move 9m to left hand side and change it's sign
⇒[tex] \sf{ - 7m - 9m = - 12}[/tex]
Collect like terms
⇒[tex] \sf{ - 16m = - 12}[/tex]
Divide both sides of the equation by -16
⇒[tex] \sf{ \frac{ - 16m}{ - 16} = \frac{ - 12}{ - 16} }[/tex]
Calculate
⇒[tex] \sf{ m = 0.75}[/tex]
Hope I helped!
Best regards!!
Describe a real-world situation in which opposite quantities add together to equal zero.
Answer: Answer is in the steps.
Step-by-step explanation:
One situation is this.
Jason borrowed $5 from his best friend during a field trip and agreed to pay him back the next school day.The next day, he came back to school with $10 and used $5 to pay his friend back.Now answer the this question. How much does Jason owe his best friend now?
The answer to the question will be zero because Jason has already paid his friend all the money he borrowed.
HELP WILL MARK AS BRAINLIEST
Answer:
37.68cm (i used 3.14 for pi)
Given that (0,-5) is on the graph of f(x), find the
corresponding point for the function
f(-4x).
Answer:
the corresponding point for the function f(x) − 4 is (0,-9)
Step by Step Explanation --
Given that (0, -5) is on the graph of f(x),
WE need to find the corresponding point for the function f(-4x}
f(x) means the output y
f(x)-4 means subtract 4 from the output y
In the given point (0, 5) , x is 0 and y is -5
To get the corresponding point we subtact 4 from y
that is [-5]- 4 = -9
the corresponding point for the function f(x) − 4 is (-3,1)
Step-by-step explanation:
Answer:
(0,-5)
Step-by-step explanation:
Find the midpoint of the segment with the endpoints:(-7,-8) and (4,7)
Answer: (-1.5, -0.5)
Step-by-step explanation:
8x + 3y-2х -у I’m trying to combine like terms plz help me
Answer:
6x+2y just add them lol
Step-by-step explanation:
Answer:
8x + 3y - 2x - y
8x - 2x + 3y -y
6x - 3y
is your answer
brain list plzzz
2. Simplify the following expression 1 (16 (16-12)
Answer:
The answer is 64.
16-12=4.
4×16×1=64.
Answer:
The answer is 64.
Step-by-step explanation:
16-12=4.
4×16×1=64.
the sum of a two digit number is 10. the value of the number is 16 times the units digit. find the number
Answer:
64
Step-by-step explanation:
Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.
For instance , 54, a = 5 and b =4
The number can be written 10*a+b (54=5*10+4, for instance)
The sum of a two digit number is 10.
a + b = 10
The value of the number is 16 times the units digit.
10a + b = 16b <=> 10a = 16b - b = 15b
[tex]<=> a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\<=> \dfrac{2+3}{2}a = 15\\\\<=> 5a=30 <=> a = 6[/tex]
and then, b = 10 - 6 = 4.
So the solution is 64.
Thank you
Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3
Answer:
The answer is
[tex] {8.y}^{12} [/tex]Step-by-step explanation:
(2y⁴)³
Using the rules of indices
That's
[tex]( {ax})^{b} = {a}^{b} . {x}^{b} [/tex]So for the above expression we have
[tex]( {2y^{4} })^{3} = {2}^{3} . {y}^{4 \times 3} [/tex]Simplify
We have the final answer as
8.y¹²Hope this helps you
Why is looking at cash flow an important step in a good financial plan?
Answer:
Why is looking at cash flow an important step in a good financial plan ? At the most fundamental level, a company's ability to create value for shareholders is determined by its ability to generate positive cash flows, or more specifically, maximize long-term free cash flow
Step-by-step explanation:
Answer:
Well,
Step-by-step explanation:
First, we need it so we don't get in low finical areas and owe the government tons of money. We also need it for our houses and if you start checking your cash flow and you see its low and you want to make it higher than that helps too! But, its very good for your bank account and helps you grow ideas to your financial plan. Hopes this helps!
Order of operations: simplify the expression shown below.
Answer:
Step-by-step explanation:
-2(36) - 18 - 8
-72 - 26
-98 is the solution
You travel from city A to city B and back your trip last five and a half hours and you maintain a speed of 64 miles per hour the entire trip city c, a city you pass on your trip is 49 miles from city B Find the distance between city a and city C
Answer:
401 MILES
Step-by-step explanation:
miles from A to B:
64 * 5.5 = 352 miles
miles from A to C:
352 + 49 = 401 miles
NEED HELP ASAP ALGEBRA 2
Answer:
b = sqrt(161)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 15^2
64 + b^2 = 225
Subtract 64 from each side
b^2 = 225-64
b^2 =161
Take the square root of each side
sqrt(b^2) = sqrt(161)
b = sqrt(161)
How to solve this problem
Answer:
28
Step-by-step explanation:
After substituting -2 for m and 5 for n, the original expression becomes:
|(-2)^2 - 7| + (5)^2, or
|4 - 7| + 25 or
|-3| + 25 = 28
*PLEASE ANSWER!!!* What is the volume of this prism?
Answer:
D, 160
Step-by-step explanation:
Base: from a rectangle 6×8 a square 4×4 is removed.
Base area: 6×8-4×4=48-16=32 square units.
Volume: base are × height=32×5=160cubic units.
Answer: D, 160
(4c^4+1)-(7c^3-3)+(2c^4+5c^3)
Answer:
6c^4 - 2c^3 + 4
Step-by-step explanation:
(4c^4 + 1) - (7c^3 - 3) + (2c^4 + 5c^3) = ⇒ parenthesis4c^4 + 1 - 7c^3 + 3 + 2c^4 + 5c^3 = ⇒ simplify, add up like terms6c^4 - 2c^3 + 4 ⇒ answerAnswer: 6[tex]c^{4}[/tex] - 2[tex]c^{3}[/tex] + 4
Step-by-step explanation:
[tex](4c^{4} +1)- (7c^{3} -3)+(2c^{4} + 5c^{3} )[/tex]
[tex]= 4c^{4} +1-7c^{3} +3+2c^{4} +5c^{3}[/tex]
Combine like terms
[tex]= 6c^{4} -2c^{3} + 4[/tex]
please help me!!!!!!!!!!!!!
Answer: see proof below
Step-by-step explanation:
Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)
cot (A/2) = (sinA)/(1 - cosA)
Use the Pythagorean Identity: cos²A + sin²B = 1
Use Unit Circle to evaluate: cos 45° = sin 45° = [tex]\frac{\sqrt2}{2}[/tex]
Proof LHS → RHS
Given: [tex]cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o[/tex]
Rewrite Fraction: [tex]cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o[/tex]
Half-Angle Identity: [tex]\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}[/tex]
Substitute: [tex]\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}[/tex]
Simplify: [tex]\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}[/tex]
[tex]=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}[/tex]
[tex]=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)[/tex]
[tex]=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}[/tex]
[tex]=\dfrac{4}{2}[/tex]
= 2
LHS = RHS: 2 = 2 [tex]\checkmark[/tex]
If f(x)=3/x+2- sq x-3, complete the following statement: f(19)=__
Answer:
answer is 27/7
Step-by-step explanation:
F(19) means u have to put the value of x as 19
so by putting 19 we get
3/19+2 -root (19-3)
so 3/21 - root 16
or 3/21 -4
or 3- 84/21
or 81/21
ans= 3x27/3x7= 27/7
thank u
In baseball, the equation E=9R/I a pitcher's earned run average E, where R is the number of earned runs the player allowed and I is the number of innings pitched. Last season, a pitcher had an earned run average of 2.80 and allowed 70 earned runs. How many innings did the pitcher pitch last season?
Answer:
The innings pitched last season is 225.
Step-by-step explanation:
Given that,
Earned run average = 2.80
Allowed earned run = 70
The given equation is
[tex]E=\dfrac{9R}{I}[/tex]
We need to calculate the innings pitched last season
Using given equation
[tex]E=\dfrac{9R}{I}[/tex]
[tex]I=\dfrac{9R}{E}[/tex]
Where, E = earned run
R = allowed earned run
I = innings pitch
Put the value into the formula
[tex]I=\dfrac{9\times70}{2.80}[/tex]
[tex]I=225[/tex]
Hence, The innings pitched last season is 225.
If a lifeguard earns $320 per week how much money does he earn in a hour
Answer:
about $1.90
Step-by-step explanation:
$320 per week.
There are 168 hours in a week.
$320 divided by 168 hours = about $1.90 an hour
Check: $1.90 x 168= $319.2 (rounded to $320)
What is the value of y
Answer:
y = 5.6Step-by-step explanation:
From Thales' theorem:
[tex]\dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6[/tex]
Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches. How much more does Turbo Taste cost per pouch?
Answer:
2 cents
Step-by-step explanation:
you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze
The cost of Turbo Taste per pouch is $0.02.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.
The more cost will be calculated as,
Cost of Turbo Taste = 10.20 / 20 = $0.51
The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49
The more cost of Turbo-Taste = 0.51 - 0.49
The more cost of Turbo-Taste = $0.02
Therefore, the cost of Turbo Taste per pouch is $0.02.
To know more about an expression follow
https://brainly.com/question/15249538
#SPJ2