Answers
Answer:
a) -6+4k=4
4k=4+6 (transpose)
4k=10
k=5/2
b) 7p-3=-2
7p=1
p=1/7
c) 1/7=p/21
7p=21(cross-multiplication)
p=3
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Related Questions
solve
[tex]8x + \frac{5}{2} = 13[/tex]
please help me
Answers
Answer:
[tex] x = 1 \frac{5}{16}[/tex]
Step-by-step explanation:
[tex]8x + \frac{5}{2} = 13 \\ \\ 8x = 13 - \frac{5}{2} \\ \\ 8x = \frac{13 \times 2 - 5}{2} \\ \\ 8x = \frac{26 - 5}{2} \\ \\ 8x = \frac{21}{2} \\ \\ x = \frac{21 }{2\times 8} \\ \\ x = \frac{21}{16} \\ \\ x = 1 \frac{5}{16} \\ [/tex]
If RT bisects SU, find each measure ST, RU, SV, SU,
Answers
Answer:
ST = 23
RU = 8
SV = 5
SV = 10
Step-by-step explanation:
Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:
✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.
ST and TU are a pair of adjacent sides.
TU = 23
✅Therefore, ST = 23.
RU and RS are a pair of adjacent sides.
RS = 8
✅Therefore, RU = 8.
✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.
Since UV = 5, therefore,
✅SV = 5
SU = UV + SV
✅SV = 5 + 5 = 10
A bisector divides the lines it bisects into equal segments
The measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively
From the diagram, we have:
[tex]\mathbf{TU = 23}[/tex]
[tex]\mathbf{UV = 5}[/tex]
[tex]\mathbf{RS = 8}[/tex]
Because RT bisects SU, then:
[tex]\mathbf{ST = TU}[/tex]
So, we have:
[tex]\mathbf{ST = 23}[/tex]
Also, we have:
[tex]\mathbf{RU = RS}[/tex]
So, we have:
[tex]\mathbf{RU = 8}[/tex]
Also, we have:
[tex]\mathbf{SV =VU \times 2}[/tex]
[tex]\mathbf{SV =5 \times 2}[/tex]
[tex]\mathbf{SV =10}[/tex]
Lastly, we have:
[tex]\mathbf{SU =VU}[/tex]
[tex]\mathbf{SU =5}[/tex]
Hence, the measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively
Read more about bisectors at:
https://brainly.com/question/13438893
FOR 10 POINTS
Which of the following arithmetic sequences have a common difference of 2 1/2
Answers
Answer: -4,-1.5,1,3.5,6,8.5
Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.
8.5 - 6 = 2.5
-1.5 - (- 4) = 2.5
3.5 - 1 = 2.5
how many meters can a sprinter run in 3 mins at 600 m/min ?
Answers
Which expression is equivalent to 4(x + 6)?
O A. 4x + 6
O B. 5x + 10
O C. X + 24
OD. 4x + 24
Answers
4(x+6)
4x + 4•6
4x + 24
And 4 times by 6 is +24
Therefore it’s 4x +24
Savannah, Greg, and kevin all take part time jobs for the summer. Their hourly wages are shown in the tables below use the information to answer each question.
Answers
Answer:
you didnt show the table and I need the ta le in order to answer your question
y/-7 = 1/14
y = ?
pls answer as a reduced fraction.
Answers
Answer:
y = -1/2
Step-by-step explanation:
−7⋅
Answer:
y=-1/2Step-by-step explanation:
y/-7=1/14
use cross multiplication
ie,14×y=1×-7 14y= -7 y= -7/14 y= -1/2Hope it helps
What is the value of √x+3 when x = 15? 15√3 9√2 6√3 3√2
Answers
Answer:
√15+ 3
6,9
√3,9 x 3,9+ 3
3,9 +3 =6, 9
Indica que medida hay que adicionar alas siguientes para obtener 1dm cúbico en cada caso a. 27cmcubicos b. 300cm cúbicos c. 0,0001 m cúbicos d. 12,000mm cúbicos
Answers
Answer:
A) Debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Debe agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Debe agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Debe agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
Step-by-step explanation:
A) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 27 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-27\,cm^{3}[/tex]
[tex]x = 973\,cm^{3}[/tex]
Por tanto, debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 300 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-300\,cm^{3}[/tex]
[tex]x = 700\,cm^{3}[/tex]
Por tanto, deben agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Sabemos que 0,0001 metros cúbicos equivalen a 0,1 decímetros cúbicos, entonces la cantidad a adicionar a 0,1 decímetos para obtener un decímetro cúbico es:
[tex]x = 1\,dm^{3}-0.1\,dm^{3}[/tex]
[tex]x = 0.9\,dm^{3}[/tex]
Por tanto, deben agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Sabemos que 1 decímetro cúbico equivale a 1000000 milímetros cúbicos, entonces la cantidad a adicionar 12 milímetros cúbicos es:
[tex]x = 1000000\,mm^{3}-12\,mm^{3}[/tex]
[tex]x = 999988\,mm^{3}[/tex]
Por tanto, deben agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
What do you say to misbehaving polor bear?
Answers
Answer: You say “You're on thin ice”.
Circumference=( ) ft
Answers
Answer:
785.398 ft
Step-by-step explanation:
Circumfrence = pi * diameter
p= 40 + 0.15(40)
= 40 +
Answers
Answer:
46
Step-by-step explanation:
p=40+0.15(40)
=40+6
Answer:
40 + 6
Step-by-step explanation:
0.15(40) = 0.15 × 40 = 6I hope this helps!
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
3 loaves
4 loaves
5 loaves
7 loaves
Answers
ות
A dock is 7 3/4m high. The portion of the dock above water one day was measured at 2 2/5m high.
How much of the dock structure was above water that day?
Answers
Answer:
dont use this
Step-by-step explanation:
oinf+euiv=4
Write the slope-intercept form of the equation of the line if m= 3 and b =
(0, 1)
Answers
Answer:y=3x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
(m) is slope
(b) is y int
y=3x+1
A cargo plane can hold at most 38,000 lb. There are 35 boxes on the plane. Each box weighs 625 lb. How many additional boxes of the same weight can the cargo plane hold?
Answers
(35 x 625 = 21875)
38,000 - 21875 = 16125
16125/625 = 25.8
Technically 25.8, but it rounds to 25 boxes
Answer:
25 boxes
Step-by-step explanation:
how do you find whether a pair of lines are parallel, perpendicular?
Answers
Answer:
If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.
Step-by-step explanation:
Example of parallel lines: y=3x+10 & y=3x-4
Example of perpendicular lines: y=2x-9 & y=-1/2x+1
Х
1
2
3
4
у
2
4
6
8
Determine the slope
Answers
Answer:
m=2
Step-by-step explanation:
(1,2), (2,4)
4-2/2-1
2/1
m=2
A bug was sitting on the tip of the propeller blade 4 ft. Long when the propeller started to rotate. The bug held on for 3 rotations before flying away. How far did the bug travel before it flew away?
Answers
Answer:
75.39 ft
Step-by-step explanation:
r = Radius of the circle drawn by the propeller = 4 ft
Circumference of the circle is
[tex]C=2\pi r\\\Rightarrow C=2\pi 4\\\Rightarrow C=25.13\ \text{ft}[/tex]
So in one rotation the distance traveled by an ant sitting on the blade tip is 25.13 ft.
Now the ant held on for 3 rotations so distance traveled is
[tex]3\times 25.13=75.39\ \text{ft}[/tex]
The bug traveled 75.39 ft.
You can download songs online for $0.99 each. Write an equation relating the total cost (c) to the number of songs (s) you download. Define your variable: Write the equation: How much would 50 songs cost?
I'LL GIVE BRAINLIEST !!!
Answers
Answer:
It would cost $49.50
$0.99 x 50 = $49.50
Find the slope from the following table: x 2 3 4 y 4 5 6
Answers
Answer:
the slope is 1
Step-by-step explanation:
The linear equation is y=x+2
Find the value of x.
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
The sum of exterior angles of a polygon is equal to 360 degrees[tex](12x+37)+(12x-2)+(20x-29)+46=360\\12x+12x+20x+46+37-29-2=360\\44x+52=360\\44x+52-(52)=360-(52)\\44x=308\\x=7[/tex]Each school year, the seventh graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1,260 for 84 students to enter the zoo. In 2011, the school paid $1,050 for 70 students to enter the zoo. In 2012, the school paid $1,395 for 93 students to enter the zoo. A. Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? Explain why or why not.
Answers
Answer:
The price is proportional to number of students
Step-by-step explanation:
Given
2010: $1260 for 84 students
2011: $1050 for 70 students
2012: $1395 for 93 students
Required
Determine if the price is proportional to number of students
To do this, we simply divide the price by number of students in each year.
[tex]Ratio = \frac{Price}{Students}[/tex]
In 2010
[tex]Ratio = \frac{\$1260}{84}[/tex]
[tex]Ratio = 15[/tex]
In 2011
[tex]Ratio = \frac{1050}{70}[/tex]
[tex]Ratio = 15[/tex]
In 2012:
[tex]Ratio = \frac{1395}{93}[/tex]
[tex]Ratio = 15[/tex]
Notice that the ratio in the 3 years is 15.
Hence, the price is proportional to number of students
Given that y varies directly with x and x = 15 and y = 5 , then find what x would equal if y = 20 .
Answers
Answer:
X=60
Step-by-step explanation:
y=kx
5=15k
k=1/3
y=1/3 x
20=1/3 x
x=60
31.41 to the neartest hundredth
Answers
Answer:
31.4 is the answer
Step-by-step explanation:
Answer:
31.4
I hope this helps!
heya! ^^
Help me
[tex]\boxed{ \large{ \sf{Question: }}}[/tex]
Five years ago,A's age was four times the age of B.Five years hence A's age will be twice of the age of B. Find their present ages.
_______________________
best of luck ^^
And don't spam =_=
Answers
Answer:
Let us consider B’s age = X
Then A’s age = 4X
Five years ago
⇒ A’s age = 4X + 5
⇒ B’s age = X + 5
Five years hence
⇒ A’s age = 4X + 5 + 5
⇒ A’s age = 4X + 10
⇒ B’s age = X + 5 + 5
⇒ B’s age = X + 10
From the given question
4X + 10 = 2(X + 10)
4X + 10 = 2X + 20
4X – 2X = 10
2X = 10
X = 5
A’s age = 4X + 5
A’s age = 25 years
B’s age = X + 5
B’s age = 10 years
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Circle M is shown below
If mKN is 20° and m<T=30°, what is the measure of SP?
A. 50°
B. 80°
C. 35°
D. 25°
Answers
Answer:
Step-by-step explanation:
A
The measure of SP is 80°, therefore, option (B) is correct.
What is the arc measure?The center angle that creates the intercepted arc is what is known as the arc measure, which is measured in degrees.
Given that, mKN= 20° and m∠T = 30°.
The formula for the measure of angle ∠T is:
[tex]m\angle{T}= \frac{mSP - mKN}{2}\\30^{\circ} = \frac{mSP - 20^{\circ}}{2}[/tex]
60° = mSP - 20°
mSP = 60° + 20°
mSP = 80°
Hence, the measure of SP is 80°, therefore, option (B) is correct.
Learn more about the arc measures:
https://brainly.com/question/24199694
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HURRY PLEASE
What is the end behavior of the polynomial function?
Answers
the difference of a number m and 30 is 10?
Answers
Answer:
m - 30 = 10
m = 40
30 - m = 10
m = 20
Hope This Helps!
Simplify [tex]\sqrt{ \frac{25y^2}{6x}[/tex]
the answer should look smething like this [tex]\frac{b \sqrt{x} }{y}[/tex]
Answers
Answer:
[tex] \frac{5y \sqrt{6x} }{6x} [/tex]
Step-by-step explanation:
[tex]\sqrt{ \frac{25y^2}{6x}} \\ \\ = \frac{5y}{ \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{ \sqrt{6x} \times \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{6x} [/tex]