Answers
Answer:
x = 10
Step-by-step explanation:
The internal segment is a bisector because the two halves of the angle are marked equal.
From that we know that
[tex]\frac{24-10}{21} = \frac{10}{2x - 5}\\~\\\frac{14}{21} = \frac{10}{2x - 5}\\~\\\frac{2}{3} = \frac{10}{2x - 5}\\~\\\\3\cdot 10 = 2 \cdot (2x - 5)\\15 = 2x - 5\\20 = 2x\\x = 10[/tex]
Related Questions
Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?
Answers
Answer:
4.50+.75d=7.50+.65d
Step-by-step explanation:
Y=4.50+.75d equation 1
y=7.50+.65d equation 2
4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1
.10d=3.00 simplify equation
d=30
check answer by subbing 30 for d into each equation.
y=4.50+.75(30)
y=4.50+22.50
y=27
y=7.50+.65(30)
y=7.50+19.50
y=27
both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent
what is the solution to x^2 + 6x + 7
Answers
Answer:
x2+6x+7
Step-by-step explanation:
there are no like terms
i think you are missing something in your question (like the equal sign?)
reply in comment so i can help:)
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
Answers
The solution is:
48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ3
complete question :
alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?
Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?
How can Victoria justify Step 3 of her work?
Answers
Answer:
ans: x= 1/(a-b)
Step-by-step explanation:
given equation is
ax = bx + 1
to isolate x , take bx to left side
or,
subtract bx on both sides , I.e
ax - bx = 1
x( a- b) = 1
x = 1/(a- b)
You are standing 30 meters from a hot air balloon that is preparing to take
off. The angle of elevation from you to the top of the hot air balloon is 28º. Find the
distance from you to the top of the balloon. (Round to two decimal places)
Answers
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, l = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
From which we get;
[tex]cos\angle \theta = \dfrac{l}{d}[/tex]
[tex]cos(28^{\circ}) = \dfrac{30 \ m}{d}[/tex]
[tex]d = \dfrac{30 \ m}{cos(28^{\circ}) } \approx 33.977 \, m[/tex]
The distance to the top of the balloon, d ≈ 33.977 m
Select ALL the functions whose graphs include the point (16, 4).
Answers
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
What is the slope of this equation? Y=1/3x+4
Answers
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
You are in a store shopping, you see two nice shirts, one is 50% off, the regular price of $45.50 and the other is 30% of $35, which one is cheaper?
Answers
Answer:
The answer would be the second option
Step-by-step explanation:
first option 45.50/2 = 22.75
second option would be 10.75
so the second option is correct
The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answers
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
What is the product of 7x-4 and 8x+5?
Answers
Answer:
15x+1
have a nice day
Answer:
5x+1 is the answer for your question
FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays either a string or brass instrument?
P(AUB)={?}
Answers
Answer:
10/11
Step-by-step explanation:
35 stringed , 5 string and brass, 10 brass, 5 play neither string nor brass
P (A or B ) = students that play string or brass / total number of students = 35+5+10/ 35+5+10+5 = 50/55 = 10/11
4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answers
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
pq(r²-1)-r(p²+q²) factorize
Answers
Answer:
pqr2-pq-p2r-rq2 is the answer
Answer:
Step-by-step explanation:
pq(r^2 - 1) - r(p^2 + q^2)
multiply the brackets
=pq*r^2 - pq*1 - r*p^2 - r*q^2
=pqr^2 - pq - rp^2 - rq^2
=pqr^2 -rp^2 -rq^2 -pq
write the expression in expanded form
3h^3(k+3)^2
Answers
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?
Answers
Answer:
2 boys and 3 girls were selected for the finals.
There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.
We want to find the probability that a boy wins the prize B.
So here we have two cases:
A girl wins the first prize, A, and a boy the prize B.
The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:
p = 3/5
Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).
q = 2/4
The joint probability is:
P = p*q = (3/5)*(2/4) = 6/20 = 3/10
Now we have the other case, where a boy wins the prize A and the other boy wins prize B.
The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:
p = 2/5
The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:
q = 1/4
The joint probability is:
P' = p*q = (2/5)*(1/4) = 2/20 = 1/10
The total probability is the sum of the probabilities for the two cases, this is:
Probability = 1/10 + 3/10 = 4/10
(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)
Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140
Answers
Answer:
A is correct answer
Step-by-step explanation:
[tex](3000 + 500 + 50) \div 25 \\ [/tex]
[tex](3550) \div 25[/tex]
[tex] = = > 3550 \div 25[/tex]
Thanks
Don't forget to tell the name of your country.
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answers
Answer:
1.2803
Step-by-step explanation:
According to the Question,
Given That, You want to invest in companies belonging to Gispa Group of 1 Companies, Inc. so you did some research and found out that companies belonging to this group have an average gain of 0.8 percent and a standard deviation of 0.7 percent. And, a positive percent (gain) means profit and a negative percent means a loss. If you choose 20 companies.Therefore, We have Average Gain(ц) = 0.8%
Standard deviation(σ) = 0.7%
Number of Companies(n) = 20
So, the probability that the companies are gaining more than 1 percent is[tex]X_{i}[/tex] = (σ² × n) / ц ⇒ (0.7²×20) / (0.8*10) = 1.2803
Which ordered pairs make both inequalities true? Select two options
Answers
Answer:
there isn't any options
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answers
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]Can someone Find X and Y
Answers
The answer is in the image. Y is 25 because the legs are the same (45 and 45 degree angles) and x is found with trigonometry or can be √1250 (simplified as 25√ 2) using pythagorean theorem or by using 45 45 90 triangle rule.
SOMEONE PLEASE HELP MEEEE
Answers
Answer:
[tex]-180^{\circ}[/tex]
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
Answer:
-180 because its through 0
hope this helps!
Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?
$9,000
$4,000
$5,000
$6,500
Answers
She got 4 thousand a month and added from the 10% so it’s 9,00 for the month I hope this helped
If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answers
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
What number is 16% of y?
Answers
Answer:
0.16y
Step-by-step explanation:
16% of y is found by substituting 0.16 for 16% and then multiplying y by 0.16:
0.16y
when you get the value of why you can then find the answer by multiplying the value of y by 16 and divide the answer by 100
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Delete this answer, I was solving for area
Answer:
v= 100
Step-by-step explanation:
V=a2h/3
v= 15*(20/3)
v= 15*6.6
v=100
The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?
Answers
Given:
The area of a flower garden is 60 m².
One third of it was used for growing roses and the remaining area was divided into two equal parts.
To find:
The area of each remaining part.
Solution:
It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:
[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]
[tex]\text{Remaining}=60-20[/tex]
[tex]\text{Remaining}=40[/tex]
The remaining area was divided into two equal parts. So, the area of each remaining part is:
[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]
[tex]\text{Area of each remaining part}=20[/tex]
Therefore, the area of each remaining part is 20 m².
a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Answers
Answer:
32
Step-by-step explanation:
area of rectangle: 6*4=24
area of top triangle: 4*2=8
24+8=32 total area
Can someone please professionally explain the math question shown on the image. (Not just answer the question) Step by step.
I will mark as brainliest!
Answers
Answer:
[tex]x=65[/tex]
Step-by-step explanation:
Area of a triangle is always 180 degrees...
In this triangle we have two values given, lets make an equation & solve it:
[tex]x+68+47=180[/tex]
[tex]x+115=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
To check if you have the right answer, add all the angles to get 180:
[tex]68+47+65=180[/tex]
Therefore, x = 65
I hope this help :)
[tex]\huge\bold{Given :}[/tex]
Angle ABC = [tex]x[/tex]
Angle BAC = 68°
Angle BCA = 47°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle ABC [tex]''x"[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x\:=\:65°}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°
➪ [tex]x[/tex] + 68° + 47° = 180°
➪ [tex]x[/tex] + 115° = 180°
➪ [tex]x[/tex] = 180° - 115°
➪ [tex]x[/tex] = 65°
Therefore, the measure of ∠ ABC is 65°.
Hence, the three angles of the triangle are 65°, 68° and 47° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ ABC + ∠ BAC + ∠ BCA = 180°
✒ 65° + 68° + 47° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
(Note:- Kindly refer to the attached file.)
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
How many solutions exist for the system of equations below?
Answers
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?
Answers
Step-by-step explanation:
wall 25×12=300
2 walls = 600
wall2 20×12=240
2 wall2= 480
600+480= 1080 sq ft
The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon
What is area of rectangle ?"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."
Given,
A gallon of paints covers 300 square feet.
Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet
Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet
Total area of the room is = 480+600 = 1080 square feet
The paint required for 1 feet is = 1/300
So, the paint required for 1080 feet is = 1080/300 =3.6
Hence, the paint required to cover the entire room is = 3.6 gallon
To know more about area of rectangle here
https://brainly.com/question/21982865
#SPJ2
