Answer:
Step-by-step explanation:
15/2 = 7.5 and (7.5)^2 = 56.25 so
x^2 + 15x + 56.25 = 49 + 56.25
x^2 + 15x + 56.25 = 105.25.
Answer:
[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]
[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]
Step-by-step explanation:
General form of a quadratic equation: [tex]ax^2+bx+c[/tex]
When completing the square, first add the number that is the square of half of [tex]b[/tex].
Given equation: [tex]x^2+15x=49[/tex]
Therefore, [tex]b=15[/tex]
[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]
So we need to add 225/4 to both sides of the equation:
[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]
[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]
In decimal form:
[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]
To finish completing the square,
factor the left side of the equation:
[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]
Finally, subtract 421/4 from both sides:
[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]
In decimal form:
[tex]\implies (x+7.5)^2-105.25=0[/tex]
Please help me solve ma
VW = 6
HOPE IT HELPS...!!!
Write the equation of a line in slope-intercept form that passes through the point (0,-7) and has a slope of 3/4.
Answer:
y=3/4x-7
Step-by-step explanation:
(0,-7) is the y-intercept
3/4 is the slope
y=mx+b
m is the slope
b is the y-intercept
plug it in:
y=3/4x-7
please mark brainliest!
NO LINKS!!
Find the volume of each sphere, both in terms of p and to the
nearest tenth. Use 3. 14 for p.
r = 6. 12 cm
d = 54 in
Find decimal form root23 and root24
Answer:
Below.
Step-by-step explanation:
√23 = 4.796
√24 = 4.899.
- both correct to the nearest thousandth,
pls help me with this
Answer:
4 vertices6 edgesStep-by-step explanation:
A vertex is where three or more edges come together. All of the vertices are shown in the picture, so you can count them. There are 4 vertices.
An edge is where plane faces meet in a line. All of the edges except one are shown as solid lines in the figure. (The remaining edge is shown as a dashed line.) You can count them. There are 6 edges.
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mocha and 42 chocolate. What percent of the cupcakes sold that day were mocha?
Answer:
35%
Step-by-step explanation:
The required percentage of the mocha cupcakes that were sold that day is 85%.
Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%
Thus, the required percentage of the mocha cupcakes that were sold that day is 85%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ5
Help me please I need to get my grade up
Answer:
Um I can only see a graph
Step-by-step explanation:
What are the least and greatest fractors of 45? of 36? of 60?
The GCF for 45,36,60 is 3
The LCM for 45,36,60 is 180
hope this helps
 Which of the following side lengths do not make up a right triangle?
A. 3,4,5
B. 5,12,13
C. 7,22,25
D. 8,15,17
Answer:
C. 7,22,25
Step-by-step explanation:
A. 3,4,5
=> p² + b² = h²
=> 3²+4² = 5²
=> 9+16 = 25
=> 25 = 25
B. 5,12,13
=> 5² + 12² = 13²
=> 25 + 144 = 169
=> 169 = 169
C. 7,22,25
=> 7² + 22² = 25²
=> 49 + 484 = 625
=> 533 ≠ 625
D. 8,15,17
=> 8² + 15² = 17²
=> 64 + 225 = 289
=> 289 = 289
so, the side that lengths do not make up right triangle is C. 7,22,25
1. Given: LMN ~ QPR, find RQ.
Answer:
C. 27
Step-by-step explanation:
If those two triangles are similar then look at how much one side is being increased to the other triangle. ML is similar to PQ and it increases by 1.5 to get there.
So find the side similar to RQ which is LN
1.5(x+7)=2x+5
1.5x+10.5=2x+5
5.5=0.5x
x=11
Then plug in 11 for x to find RQ which will be 27
please help me
Question
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
Answer:
1/8 is the probability to have exactly one head
CAN SOMEONE HELP PLEASE IM BEGGING YOU PLAS
Solve the system of equations algebraically show all work.
Y=-x^2+8x+11
Y=5x-7
Answer:
ummmm..... let's see..
Step-by-step explanation:
using "Almighty formula"
{Y = –x +/– √b^2 – 4ac / 2a}
so we name all the values behind the coefficients which are; –1^2, 8 and 11
so let's assign a,b,c to these values:
a =–1, b =8, c = 11
all you just do now is to add these values to the formula
you should be having Y =1 +/– √8^2 – 4×–1×11
———————————
2×–1
Y =1 +108
———— or Y = 1–108
–2 –––––
–2
now add and divide to get Y.
(your answer will be two)
-6x+71= -4x-1 procedimiento
Answer:
[tex]-6x+71= -4x-1[/tex]
[tex]-6x+71-71=-4x-1-71[/tex]
[tex]-6x=-4x-72[/tex]
[tex]-6x+4x=-4x-72+4x[/tex]
[tex]-2x=-72[/tex]
[tex]\cfrac{-2x}{-2}=\cfrac{-72}{-2}[/tex]
[tex]x=36[/tex]
Hope it helps u!! ^-^
Hey ! Buddy .
As the question is in Spanish . So we have provided your answer in English as well as in Spanish language .
( ¡Oye! Amigo, la pregunta es en español. Así que hemos proporcionado su respuesta tanto en inglés como en español. )
Answer:
Value of x is 36 (El valor de x es 36)Step-by-step explanation:
In this question we have given with an equation that is -6x + 71 = -4x - 1 . And have to find the value of x .
( En esta pregunta hemos dado con una ecuación que es -6x + 71 = -4x - 1 . y hay que encontrar el valor de x )
Solution : -
( Soluciones : - )
[tex] \quad : \implies - 6x + 71 = - 4 - 1[/tex]
Step 1 : Subtracting 71 on both sides :
( Paso 1 : Restando 71 en ambos lados: )
[tex]\quad : \implies - 6x + \cancel{71} - \cancel{71} = - 4x - 1 - 71[/tex]
On calculating further, We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies - 6x = - 4x - 72[/tex]
Step 2 : Adding 4x on both sides :
( Paso 2 : Sumando 4x en ambos lados: )
[tex]\quad : \implies - 6x + 4x = - \cancel{4x} + \cancel{4x } - 72[/tex]
On calculating further, We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies \cancel{-} 2x = \cancel{-}72[/tex]
Step 3 : Dividing by 2 on both sides :
( Paso 3 : Dividiendo por 2 en ambos lados: )
[tex]\quad : \implies \frac{ \cancel{2}x}{ \cancel{2} } = \cancel{\frac{72}{2} }[/tex]
On calculating further , We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies \: \green{ \boxed{ \frak{x = 36}}}[/tex]
Therefore , value of x is 36 . ( Por lo tanto , el valor de x es 36 . )Verifying : -
( Comprobación :- )
We are verifying our answer by substituting value of x in given equation. So ,
( Estamos verificando nuestra respuesta al sustituir el valor de x en la ecuacióndada. Asi que, )
-6x + 71 = -4x - 1 -6 ( 36 ) + 71 = -4 ( 36 ) - 1-216 + 71 = -144 - 1-145 = -145L.H.S = R.H.S (Lado izquierdo = Lado derecho )Hence, Verified. ( Por lo tanto, Verificado. )Therefore, our solution is correct.
( Por lo tanto, nuestra solución es correcta. )
#Keep LearningAnswer number 2 please
Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge’s relatives, as compared to his classmates, like salsa music?
Answer: 6
Step-by-step explanation:
Classmate: 56/100 × 75/1 =42
relative: 80/100 × 60/1 = 48
Difference is 6
what is 2+2 divided by 50
Answer: 2.04
Step-by-step explanation:
2+2=4
4/50 = 2.04
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much did Zack receive for each hockey stick?
Answer:
Zack received $32 for each hockey stick
Step-by-step explanation:
how I did it:
$71+$25=96
now you divide 96 by 3
3 2
3 9 6
− 9
0 6
− 6
0
96 divided by 3 is equal to $32.
Hence, Zack received $32 for each hockey stick.
Bailey rolls a pair of dice 12 times, and the sum of 6 came up 5 times to calculate the experimental and theoretical probabilities of rolling a sum of six with a pair of dice
Answers:
Experimental probability = 5/12
Theoretical probability = 5/36
========================================================
Explanation:
The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12
----------------------------
The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.
There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6
1+5 = 62+4 = 63+3 = 64+2 = 65+1 = 6There are five ways to add to 6, out of 36 outcomes total.
This means the theoretical probability of getting a sum of 6 is 5/36
An ecologist wants to know what percent of the 10,000 fish in a lake are cod. She conducts a study in which 50 fish are randomly caught. Of those 50 fish, 15 are cod. Based on this data, using a 95% confidence interval, the researcher can determine that the percent of fish that are cod in the lake is which of the following?
(1) Between 17% and 43%
(2) Exactly 30%
(3) Between 24% and 36%
(4) Between 20% and 40%
Answer:
3
Step-by-step explanation:
Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.
The average height of Hillsdale College's student body is 64.8 inches. If the 600 women at the college average 64 inches, what is the average height of the 400 men at the college? Show work.
Answer:
dont know bro
Step-by-step explanation:
Use the method of elimination to solve the pair of simultaneous equation 2x+5y=4,2x-2y=18
[tex]2x+5y= 4~~~...(i)\\\\2x-2y = 18~~~...(ii)\\\\(ii) -(i):\\\\~~~~~2x-2y -2x -5y= 18 -4\\\\\implies -7y = 14\\\\\implies y = -\dfrac{14}7\\\\\implies y= -2\\\\\text{Substitute}~ y=-2~ \text{ in eq (i):}\\\\~~~~~~2x+5(-2) = 4\\\\\implies 2x-10 = 4\\\\\implies 2x = 10+4\\\\\implies 2x =14\\\\\implies x = \dfrac{14}2\\\\\implies x =7\\\\\text{Hence}~ (x,y) =(7,-2).[/tex]
Answer:
y = -2
x = 7
Step-by-step explanation:
Solving simultaneous equation
2x + 5y = 4 ---------------(I)
2x - 2y = 18 -----------(II)
Now, multiply equation (II) by (-1) and then add the equations. So that, 'x' will be eliminated and we can find the value of 'y'
(I) 2x + 5y = 4
(II)*(-1) -2x + 2y = - 18 {Now add}
7y = -14
y = -14/7 {on dividing both sides by 7}
[tex]\sf \boxed{y= -2}[/tex]
Now plugin y = -2 in equation (I)
2x + 5*(-2) = 4
2x - 10 = 4
2x = 4 + 10 {on adding 10 to both sides}
2x = 14
x = 14/2 {Divide both sides by 2}
[tex]\sf \boxed{x = 7}[/tex]
Convert 67,000 pounds to tons. choose the words and numbers to complete the statements. a pound is choose... than a ton, so choose... the number of pounds by choose... to find the number of tons. therefore, 67,000 pounds is choose... tons.
Answer:
See below
Step-by-step explanation:
A POUND IS 1/2000 of a ton so multiply the number of pounds by 1/2000 to find the number of tons therefore 67 000 pounds is 33.5 tons
Answer:
A pound is (larger) than a ton, so (multiply) the number of pounds by (1000) to find the number of tons. Therefore, 67,000 pounds is (33.5) tons.
Step-by-step explanation:
when you see ( ) it means it's the answer
help please!!!! it makes so sense
Answer:
(- [tex]\frac{1}{5}[/tex] , 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
5x - 2(0) + 1 = 0
5x - 0 + 1 = 0
5x + 1 = 0 ( subtract 1 from both sides )
5x = - 1 ( divide both sides by 5 )
x = - [tex]\frac{1}{5}[/tex]
the line crosses the x- axis at (- [tex]\frac{1}{5}[/tex], 0 ) or ( - 0.2, 0 )
Answer:
(-1/5, 0).
Step-by-step explanation:
Where the line crosses the axis the value of y = 0.
5x - 2y + 1 = 0
Let y = 0, then:
5x - 2(0) + 1 = 0
5x + 1 = 0
5x = -1
x = -1/5.
So the point is (-1/5, 0).
Kim is installing blue
white tile in her bathroom. She
made a diagram of
the layout showing the area of both colors. Write two
expressions that describe the area of the blue tile.
Answer:
4/9, 44.4%
Step-by-step explanation:
16 tiles are blue out of 36
16/36 = 4/9
4 ÷ 9 × 100 = 44.4%
Factor the expression x2 - 36.
Answer:
x = -6 or 6
Step-by-step explanation:
=> x² - 36
=> x² - 6²
=>(x + 6 ) (x - 6)
=> x = -6 or x = 6
[tex]x^2-36\\\\=x^2-6^2\\\\=(x+6)(x-6)[/tex]
What equation is graphed in this figure?
y - 4 = -⅓(x+2)
y - 3 = ⅓ (x+1)
y + 2 = -3(x – 1)
y - 5 = 3(x - 1)
to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]
keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.
HELP PLEASE EXPLAIN HOW TO EVALUATE
Answer:
165
Step-by-step explanation:
The symbol [tex]\sum[/tex] is used to denote a sum of multiple terms.
The number below [tex]\sum[/tex] is the first term.
The number above [tex]\sum[/tex] is the last term.
Each term can be determined by using the given equation.
[tex]\begin{aligned}\displaystyle \sum_{n=3}^{8}5n & =5(3)+5(4)+5(5)+5(6)+5(7)+5(8)\\ & = 5(3+4+5+6+7+8)\\ & =5(33)\\ & = 165\end{aligned}[/tex]
So
[tex]\\ \rm\Rrightarrow \sum^8_{n=3}5n[/tex]
[tex]\\ \rm\Rrightarrow 5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]
[tex]\\ \rm\Rrightarrow 15+20+25+30+35+40[/tex]
[tex]\\ \rm\Rrightarrow 165[/tex]
help mah please I give dollar
Answer:
45 + X
Step-by-step explanation:
i didnt read it correctly sorry
two days of the year on which the noon sun is directly overhead at nearly 23.5 south or north December 21st and June 21
June 21st - summer solstice
December 21st - winter solstice
hope it helps...!!!