Answer:
279 ft^2
Step-by-step explanation:
The area of a rectangle of length L and width W is A = LW.
Here, that area is (19.25 ft)(14.5 ft) = 279.125 ft^2, or approx. 279 ft^2
Crystal's soccer team won 14 of the 20 games they played. What percent of games played did they win?
A) 14%
B) 20%
C) 70%
D) 34%
Answer:
Option C) 70%
Step-by-step explanation:
we know that
To determine the percentage of games played that won, divide the number of games won by the total number of games played.
so
[tex]P=14/20=0.70[/tex]
Convert to percentage (multiply by 100)
[tex]0.70*100=70\%[/tex]
What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x^2 - 13x
OA) x = 0
OB) x = 13
OC) x = 0 or x = 13
OD) x = 0 or x = -13
O E) no real solutions
Answer: Option C
Step-by-step explanation:
Given the quadratic equation [tex]y = x^2 - 13x[/tex], substitute [tex]y=0[/tex]:
[tex]0 = x^2 - 13x[/tex]
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
[tex]0=x(x-13)[/tex]
Therefore, you get that the solutions of this equation are the following:
[tex]x=0\\\\\\x-13=0\\x=13[/tex]
Then, the answer is:
[tex]x = 0\ or\ x = 13[/tex]
This matches with the option C.
A discount store promises that all items it sells are 40% of their normal asking retail price. If one buys shoes that normally retail for $60.99 what is the price you would expect to pay? ( NOTICE IT IS 40% of not 40% off. Which plays a big difference) someone please help me find the answer and explain how you got the answer. I’m in algebra 1 and I am no good at math. Thanks.
Answer:
$24.4
Step-by-step explanation:
We are given that a discount store promises that all items it sells are 40% of their normal asking retail price.
If a shoes have a retail price of $60.99, we are to find the expected price of the shoes at this store.
Expected price of shoes = 40% of $60.99 = [tex] \frac { 4 0 } { 1 0 0 } \times 6 0 . 9 9 [/tex] = $24.4
Find the area of a circle with a circumference of 30 pie meters
Step-by-step explanation:
Cir=30π=2πr , thus r=15 , Area=π(r^2)=225 pie meters
The area of circle is 225π m².
What is circle ?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
Given that,
Circumference of the circle = 30π m
Let r be the radius of circle.
Since we know that,
circumference of the circle = 2πr
Therefore,
⇒ 2πr = 30π
⇒ r = 15 m
Area of circle = πr²
= (15)²π
= 225π
Hence required area is 225π square meter.
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A football team has a budget of $2500 for supplies. The team purchased new helmets for $975. Each new football costs $34. The inequality 975 + 34f ≤ 2500 can be used to describe the number of footballs (f) the team can purchase. Which statement about the number of footballs they can purchase is true?
a) The team can purchase 45 footballs.
b) The minimum number of footballs the team can purchase is 44.
c) The team can purchase 49 footballs.
d) The maximum number of footballs the team can purchase is 44.
Answer:
d) The maximum number of footballs the team can purchase is 44.
Step-by-step explanation:
975+34f≤ 2500
Subtract 975 from both sides: 975-975+34f≤ 2500-975
34f≤ 1525
Divide both sides by 34: 34f/34≤ 1525/34
f≤ 44.853
You can't purchase 0.853 of a helmet so the maximum you can buy is 44
The maximum number of footballs the team can purchase is 44.
What is inequality?Inequality directs to the phenomenon of unequal and/or unjust distribution of resources and possibilities among members of a given society. The word inequality may mean different things to various people and in different contexts.
A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Given
975+34f≤ 2500
Subtracting 975 from both sides: 975-975+34f≤ 2500-975
34f≤ 1525
Dividing both sides by 34: 34f/34≤ 1525/34
f≤ 44.853
so the maximum you can buy is 44
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HELPP QUICKLYY!! What is the length of each leg of the triangle below?
Answer:
The correct answer is option C. 16√2
Step-by-step explanation:
Points to remember
If the angles of a right angled triangle are 45°, 45° and 90° then the sides of the triangles are in the ratio 1 : 1: √2
To find the length of each leg of triangle
From the figure we can see that a right angled triangle with angles 45°, 45°, 90° and hypotenuse = 32
Therefore the sides are in the ratio 1 : 1 :√2
Leg1 : Leg2 : hypotenuse = 1 : 1 : √2 = x : x : 32
Therefore x = 32/√2 = 16√2
So the correct answer is option C. 16√2
how many solutions are there to this equation 7x-3(x-1)=2(2x+3)
Answer:
there are no answers it is false just did it
Step-by-step explanation:
The ground temperature at an airport is 12 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Decrease in the temperature: 5.4×5=27°C
Final temperature: 12-27=-15°C
Which statement are true about the angles in the diagram? Check all that apply
Answer:
Options B,C,E are true.
Step-by-step explanation:
It has been given in the question ∠ACD is supplementary to ∠ACE and ∠BCD
∠ACD ≅ ∠BCE
Option A. ∠ACE is supplementary to ∠BCD
False. They are not lying on a point of straight line.
∠ACE + ∠BCD ≠180°
Option B. ∠BCE is supplementary to ∠ACE
Since ∠ACD + ∠ACE = 180° [Given]
and ∠ACD ≅ ∠BCE [Given]
Therefore, ∠BCE + ∠ACE = 180°
TRUE.
Option C. ∠BCD is supplementary to ∠BCE
Since ∠ACD + ∠BCD = 180°[Given]
and ∠ACD ≅ ∠BCE [Given]
So ∠BCE + ∠BCD = 180°
TRUE.
Option D. ∠ACE ≅ ∠BCE
Since ∠ACD + ∠ACE = 180°
And ∠ACD + ∠BCD = 180°
This is clear from these equations that ∠ACE is supplementary to ∠BCD.
FALSE :
Option E. ∠BCD is congruent to ∠ACE
As we have already proved in option D. ∠BCD ≅ ∠ACE
TRUE
Therefore, Options B, C, E are TRUE
Each month a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the month is 29% in January and 49% in February. What is the probability that she is awarded a blue ribbon in both January and February?
The probability that Chloe is awarded a blue ribbon in both January and February is 0.1421 or 14.21%.
To calculate this, we simply multiply the probabilities of Chloe being awarded a blue ribbon in January and February:
Probability in January = 0.29
Probability in February = 0.49
Probability in January and February = 0.29 * 0.49 = 0.1421
Explanation:
1. Given probabilities:
- Probability of Chloe being awarded a blue ribbon in January = 29% = 0.29
- Probability of Chloe being awarded a blue ribbon in February = 49% = 0.49
2. To find the probability of Chloe being awarded a blue ribbon in both January and February, we multiply the probabilities together:
- Probability in January and February = 0.29 * 0.49 = 0.1421
Therefore, the probability that Chloe is awarded a blue ribbon in both January and February is approximately 14.21%.
Complete question:
Each month a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the month is 29% in January and 49% in February. What is the probability that she is awarded a blue ribbon in both January and February?
A football team lost 5 yards and then gained 9. What is the team’s progress?
Answer:
4
Step-by-step explanation:
-5+9=4
Please help will give brainliest. Drag each label to the correct location on the image. Each label can be used more than once, but not all labels will be used.
Determine the unknown angle measures.
Answer:
1= 115
2=45
3=110
4=115
5=115
Step-by-step explanation:
Answer:
1:
[tex]180-(70+45)=65[/tex] degrees(3rd angle of triangle)
Angle 1 is [tex]180-65=115[/tex] degrees.
2:
Angle 2 is 45 degrees as vertically opposite is also 45 degrees.
3:
[tex]180-(65+45)=70[/tex] degrees(third angle of lower triangle)
Its opposite will also be 70 degrees.
So, 3rd can be found as : [tex]360-(70+110+70)=110[/tex] degrees
You can also say that 3 is vertically opposite of 110 degrees.
4:
[tex]180-65=115[/tex] degrees
5:
This is also 115 degrees as its vertically opposite angle to 4.
1/3(4y-2)+ 1/9(6y+10)
-Use the distributive property to take away the parentheses
- Combine like terms
Divide the sum of 9/10 and 2/5 by the product of 11/6 and 5/9
Answer:
[tex]\bold{\dfrac{\,351\,}{275}}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac9{10}+\dfrac25\right)\div\left(\dfrac{11}{6}\cdot\dfrac59\right)\ =\ \left(\dfrac9{10}+\dfrac4{10}\right)\div\dfrac{55}{54}=\\\\\\ =\ \dfrac{13}{10}\times\dfrac{54}{55}\ =\ \dfrac{13}{5}\times\dfrac{27}{55}\ =\ \dfrac{351}{275}[/tex]
In order to go on the field trip, you must accrue 75 positive behaviors points. You found out that you have 45% of the points necessary to go. How many points do you have?
Answer:
Step-by-step explanation:
I think 33 : this i got by multiplying 75 by 45%
or 166: i got this by dividing 75 by 45%
The total points for 75 positive behaviors points are 33.45.
We have given that,
n order to go on the field trip, you must accrue 75 positive behavior points. You found out that you have 45% of the points necessary to go.
We have to determine the points.
What are the positive behavior points?Positive behavior strategies are evidence-based, proactive approaches to changing challenging student behavior.
We have 75 are the positive points so we have,
[tex]75\times 0.45=33.75[/tex]
Therefore we get the total points are 33.45.
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What is ( x + y + 2 )( y + 2 )?
Answer:
y²+4y+2x+xy+4
Answer:
xy+y^2+2x+4y+4
Step-by-step explanation:
simplify by multiplying variable in the first parentheses set with the ones in the second parentheses set:
(x+y+2)(y+2)
=(x)(y)+(x)(2)+(y)(y)+(y)(2)+(2)(y)+(2)(2)
=xy+2x+y^2+2y+2y+4
=xy+y^2+2x+4y+4
hope this helps!
The area of a park was increased from
22,250 square yards to 25,587.5 square
yards. What was the percent of increase in
square yards?
A. 15%
B. 22%
C. 25%
. 33%
Answer:
A. 15%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
The new number is the increased area, 25,587.5 sq yd, and the old number is the original area, 22,250 sq yd.
percent change = (25,587.5 sq yd - 22,250 sq yd)/(22,250 sq yd) * 100%
percent change = (3,337.5 sq yd)/(22,250 sq yd) * 100%
percent change = 0.15 * 100%
percent change = 15%
Since the percent change is a positive number, it is a percent increase.
The percent increase was 15%.
Answer: A. 15%
Dyson hikes 1/2 mile every 15 minutes or 1/4 hour how far dose he hike in 1 hour
Answer:
2 miles.
Step-by-step explanation:
You walk 3/8 miles to a music store. Then you walk another 1/3 miles to a clothing store. How many miles have you walked in all?
Answer:
You have walked [tex]\frac{17}{24}[/tex] miles
Step-by-step explanation:
In order to add these two fractions, we must find a common denominator. In this case, I used 24
[tex]\frac{3}{8} +\frac{1}{3} \\\\\frac{9}{24} +\frac{8}{24} =\frac{17}{24}[/tex]
Answer:
3/8 + 1/3 = 9/24 + 8/24 = 17/24
Step-by-step explanation:
PLEASE ANSWER RIGHT AWAY
ANSWER
The second term is 7.
EXPLANATION
The given sequence has it's first term to be:
[tex]t_1 = 3[/tex]
The recursive definition is :
[tex]t_{n+1}=2t_n+n[/tex]
To find the second term , we substitute n=1,
to obtain,
[tex]t_{1+1}=2t_1+1[/tex]
This implies that:
[tex]t_{2}=2t_1+1[/tex]
[tex]t_{2}=2(3)+1[/tex]
Simplify:
[tex]t_{2}=6+1[/tex]
[tex]t_{2} = 7[/tex]
Answer:
The second term of the sequence is 7 ⇒ the 2nd answer
Step-by-step explanation:
* Lets revise the recursive formula
1. Determine if the sequence is arithmetic (Do you add, or subtract, the
same amount from one term to the next?)
2. Find the common difference. (The number you add or subtract.)
3. Create a recursive formula by stating the first term, and then stating
the formula to be the previous term plus the common difference.
a1 = first term;
an+1= an + d
- Where:
# a1 = the first term in the sequence
# an = the nth term in the sequence
# an+1 = the term after the nth term
# n = the term number
# d = the common difference.
* Now lets solve the problem
∵ The recursive definition is tn+1 = 2 tn + n and t1 = 3
- Lets find the 2nd term
∵ t1 = 3
∵ tn+1 = 2 tn + n
* To find the second term put n = 1
∴ t2 = 2 (3) + 1
∴ t2 = 6 + 1 = 7
∴ t2 = 7
* The second term of the sequence is 7
Which of the following is a solution of y + x < -5?
(-4, -2)
(-3, -2)
(-2, -3)
(-1, -3)
Answer:
FIRST OPTION: (-4, -2)
Step-by-step explanation:
Given the inequality [tex]y + x < -5[/tex], substitute each solution given in the options:
1) For (-4, -2) :
[tex](-2)+ (-4) < -5[/tex]
[tex]-6 < -5[/tex] (This is true)
2) For (-3, -2):
[tex](-2)+ (-3) < -5[/tex]
[tex]-5 < -5[/tex] (This is not true)
3) For (-2, -3):
[tex](-3)+ (-2) < -5[/tex]
[tex]-5 < -5[/tex] (This is not true)
4) For (-1, -3):
[tex](-3)+ (-1) < -5[/tex]
[tex]-4 < -5[/tex] (This is not true)
You can observe that (-4, -2) is a solution of [tex]y + x < -5[/tex]
The answer is A.
Hope this helps :)
what is equivalent to (3+5i) - (7-2i)
Answer:
- 4 + 7i
Step-by-step explanation:
Solving (3+5i) - (7-2i)
= 3 + 5i - 7 + 2i
=3 - 7 + 5i + 2i
= - 4 + 7i
So, (3+5i) - (7-2i) is equivalent to - 4 + 7i
adam bought a new flat screen tv with an area of 21 ft the screen is 3 feet wide how tall is it
Answer:
7 ft bRo
Step-by-step explanation:
wow i took 21 and divided it by three and i got SEVEN
how old are you like four
The height of the flat screen TV can be calculated by dividing the given area (21 square feet) by the given width (3 feet). This gives us a height of 7 feet.
Explanation:In this problem, we are given the area of the flat screen TV and the width. The area of a rectangle is calculated by multiplying the width and the height, so to find the height, we can divide the area by the width.
Let's denote the height as 'h'. So, the formula will be: Width times height = Area of the screen, or in our case, 3 feet times h = 21 square feet. Solving this equation gives us h = 21 ÷ 3 = 7 feet.
So, the height of the TV is 7 feet.
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PLZ HELP I PROMISE I WILL GIVE BRAINLIEST!!!! ASAP
Answer:
[tex]4c^{7}d^{13}[/tex]
Step-by-step explanation:
[tex](2cd^{4} )^{2} *(cd)^{5}[/tex]
[tex]4c^{2}d^{8} *c^{5} d^{5}[/tex]
[tex]4c^{7}d^{13}[/tex]
I need to know the coefficient or the a squared term, the coefficient of the ab term, and the coefficient of the b term.
[tex]\bf \begin{array}{llllll} -2a(a+b-5)&+&3(-5a+2b)&+&b(6a+b-8)\\\\ -2a^2-2ab+10a&+&-15a+6b&+&6ab+b^2-8b \end{array} \\\\[-0.35em] ~\dotfill\\\\ (-2a^2-2ab+10a)+(-15a+6b)+(6ab+b^2-8b) \\\\\\ -2a^2-2ab+10a-15a+6b+6ab+b^2-8b \\\\\\ -2a^2-2ab+6ab+10a-15a+6b-8b+b^2 \\\\\\ \boxed{-2} a^2\boxed{+4} ab-5a\boxed{-2} b+b^2[/tex]
Which of the following expressions is true?
A. 8^3 • 8^2 < 8^4
B. 4^4 • 4^4 = 4^16
C. 2^2 • 2^6 < 2^8
D 3^3 • 3^3 > 3^5
Answer:
The answer is D.
Step-by-step explanation:
A. 8^3 x 8^2 < 8^4
8^3 = 512 8^2 = 64 512 x 64 = 32768
8^4 = 4096 32,768 < 4096 is NOT true
B. 4^4 x 4^4 = 4^16
4^4 = 256 256 x 256 = 65536
4^16 = 4294967296
256 = 4294967296 is NOT true
C. 2^2 • 2^6 < 2^8
2^2 = 4 2^6 = 64 64*4 = 256
2^8 = 256 256 < 256 is NOT true
D. 3^3 • 3^3 > 3^5
3^3 = 27 27*27 = 729
3^5 = 243
729 > 243 IS true
Laura makes 10.5% commission on each of her sales. How much does she make when she sells a house for 85,000
Answer:
85000/100*10.5 = $8925
Step-by-step explanation:
N/A
What is the relationship between Jack and praiseworthy
Answer:
Praiseworthy is a main character in Sid Fleischman's 'By the Great Horn Spoon!' Praiseworthy is an incredibly likable guy who is able to help his fellow travel partner - Jack - out of some pretty sticky situations.
Step-by-step explanation:
Praiseworthy is a main character in Sid Fleischman's 'By the Great Horn Spoon!' Praiseworthy is an incredibly likable guy who is able to help his fellow travel partner - Jack - out of some pretty sticky situations.
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.
[tex]x=y^2-1\implies y=\pm\sqrt{x+1}[/tex]
We want to find [tex]a[/tex] such that
[tex]\displaystyle\int_{-1}^a2\sqrt{x+1}\,\mathrm dx=\int_a^02\sqrt{x+1}\,\mathrm dx[/tex]
On the left,
[tex]\displaystyle\int_{-1}^a2\sqrt{x+1}\,\mathrm dx=4(x+1)^{3/2}\bigg|_{x=-1}^{x=a}=4(a+1)^{3/2}[/tex]
and on the right,
[tex]\displaystyle\int_a^02\sqrt{x+1}\,\mathrm dx=4(x+1)^{3/2}\bigg|_{x=a}^{x=0}=4-4(a+1)^{3/2}[/tex]
For the areas to be equal, we need
[tex]4(a+1)^{3/2}=4-4(a+1)^{3/2}\implies(a+1)^{3/2}=\dfrac12[/tex]
[tex]\implies a=\dfrac1{2^{2/3}}-1\approx-0.370[/tex]
To find the value of 'a' for which the line x = a splits the region into two equal areas, integrate the curve starting from -sqrt(a+1) to sqrt(a+1) and set it equal to the area of the region between the curve and the y-axis.
Explanation:This question pertains to the concept of finding the area under curves in Calculus. To solve this problem, we need to set up an equation that represents the given situation and solve for 'a'. The line 'x = a' splits the region into two equal areas, meaning the area on the right of the line is equal to the area on the left of the line.
Starting from the x-axis, the curve 'x = y^2 - 1' intersects the line at y = sqrt(a+1) and y = -sqrt(a+1). Thus, we want the integral from -sqrt(a+1) to sqrt(a+1) of the curve to be equal to the area of the region between the curve and the y-axis. Formulate and solve the intergral problem to get the desired value of 'a'.
Additionally, this problem might involve the use of numerical methods like the Simpson's rule or midpoint rule to get an accurate result.
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Please help! Pythagorean Theorem things...
The answer is 16
The Pythagorean theorem is a^2+b^2=c^2
You already have one side and the hypotenuse (c)
15^2+b^2=17^2
15^2= 225
17^2= 289
Now you have 225+b^2= 289
Subtract 225 from both sides and you get
b^2=64
Then take the square root of both sides to get b alone
b=8
Now, since the base of the inner triangle is half of the base of the pyramid, multiply your answer by 2
You will get 16