Answer:
Step-by-step explanation:
Given the question
A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.
Options
The stated solution is correct (lengths of 16 feet and 8 feet).
Based on the way the variable is defined, the equation should be x + 2x = 24.
The equation is written correctly, but there is an error in solving the equation.
The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
2
Let the length of one piece be x (shorter piece) and the other be y.
If the rope is cut into two pieces and 24ft long, then;
x+y = 24.......... 1
If one piece is half the length of the other, then x = y/2..... 2
substitute equation 2 into 1
y/2 + y = 24
take the LCM
y+2y/2 = 24
3y/2 = 24
cross multiply
3y = 48
Divide both sides by 3;
3y/3 = 48/3
y = 16 feet
Since x = y/2
x = 16/2
x = 8 feet
Based on the calculation above, I can conclude that;
- The student stated solution is correct (lengths of 16 feet and 8 feet)
- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
- Based on the way the variable is defined, the equation should be x + 2x = 24.
16) Which of the following best represents the
range of the graph below?
A) -3 5 y 38
C) y22
B) y2-3
D) All real numbers
roberto garcia ha jugado en las ligas menores durante 11 años. el total de jonrones en cada año ha sido de: 56,62,49,65,58,52,68,72,25,64. ¿Cuantos jonrones necesita Roberto para que la próxima temporada pueda tener una media de 60 en 12 años?
Los puntos de datos dados son 10
Responder:
89 jonrones
Explicación paso a paso:
Dados los datos:
Datos de jonrones durante 11 años:
56,62,49,65,58,52,68,72,25,64
Para promediar 60 jonrones en 12 años:
Tome la media de los datos, utilizando una incógnita para el Número de jonrones en el año 12:
[(56 + 62 + 49 + 65 + 58 + 52 + 68 + 72 + 25 + 64 x) / 11] = 60
[(571 + x) / 11] = 60
571 + x = 60 * 11
571 + x = 660
x = 660 - 571
x = 89
Please help me with this is my last question
Answer:
a
Step-by-step explanation:
Answer:
A
........................
. Factor this Quadratic. What is it in factored form?
x^2-14x+45
(x-15)(x-3)=0
(x+9)(x+5)=0
(x+15)(x+3)=0
(x-9)(x-5)=0
Ms. Simpson and her friends are planning to take a trip next summer to drive to Big Bend National Park. They plan to split the cost of gas equally among the 4 of them. Ms. Simpson expects that each person will pay at most $35.
Let x represent how much Kira expects the gas to cost in all. Which inequality describes the problem?
Answer:
[tex]\dfrac{x}{4} \le 35[/tex]
Step-by-step explanation:
There are 4 people splitting the gas cost equally.
Each person will pay at most $35, so the gas cost to each person can be less than $35 or equal to $35.
The total gas cost is x. The gas cost for each person is 1/4 of the total, so it is x/4.
Answer:
[tex]\dfrac{x}{4} \le 35[/tex]
Marissa decides to use synthetic division to find the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1). What value from the divisor should she write in front of the coefficients?
-3
3
-1
1
Answer:
1
Step-by-step explanation:
Set x - 1 equal to zero
x - 1 = 0
x = 1
Which phrase should be inserted on the line to make a true statement? Use the models to help.
picture 1 picture 2
is greater than
is less than
cannot be compared to
is equal to
Answer:
Is Equal to
Step-by-step explanation:
2/3 = 8/12
2/3 = 4/6
2/3 = 2/3
I would really appreciate some help
Answer:
A or x = 1
Step-by-step explanation:
So we can see from the most right column that the sum of the three number is 9 (2 + 4 + 3) so we know that every row or column has to add up to 9. We want to find x so we must make sure that, 8 + 0 + x should be 9 and 2 + 6 + x should be 9. From 8 + 0 + x, we know that 8 + 1 is 9 so x is 1. We can also see that 2 + 6 is 8 and 8 + 1 is 9 so x = 1.
Daniel has 3 sets of colored pencils. Each set has 6 pencils. How many pencils does Daniel have in all? Model this by drawing base - 10 blocks.
Answer: 18
Step-by-step explanation:
if he has 3 sets of pencils and there are 6 pencils in each set then you would do 6 x 3 = 18 or 6 + 6 + 6 = 18 To solve it
What is the slope and the y-intercept in this linear equation?
y = -x + 4
Slope: -1
y-intercept: 4
*Any time x is by itself, it is either positive 1 (just x by itself) or negative 1 (x with a negative sign)
Which of the following can be divided by 3, with no remainder?
A)555
B)2018
C)46
D)739
E)8912
Answer:
A) 555
Step-by-step explanation:
555/3 = 185
Check and make sure; 185 x 3 = 555
Hope this helps!
-Jerc
Answer:
A)555 becuse 555/3=185
Is the sequence below arithmetic or
geometric? Solve for the Q18.
{4, 11,
18, 25,... }
Answer:
arithmetic
I am not sure what solve for the Q18 is
Step-by-step explanation:
4+7=11
11+7=18
18+7=25
What is the area of a rectangle piece of pavement that is 20 ft wide by 15 yards long
Answer:
300
Step-by-step explanation:
To find the area, you should multiply 20 by 15
Answer: 6,000 square ft
Step-by-step explanation:
w=20 ft
l=100 yd
1 yard = 3 feet
l = 100 yd=100 times 3 ft=300 ft
lw = 300 times 20 = 6,000 square feet
What is 9,2345 + 35.98
the answer is
92,380.98
Answer:
9,2380.98
Step-by-step explanation:
92345
+00035.98
What is the decimal multiplier to decrease 3.8%
Answer:
0.038
Step-by-step explanation:
What is the value of x if 15 = 5x +45?
Answer:
x=-6
Step-by-step explanation:
start by subtracting 45 on both sides to get the variable by itself.
Next divide by 5 to get the value of x.
HELP PLS I HABE BEEN STARING AT THUS QUESTION FOR SO LONG
Answer:
56%
Step-by-step explanation:
Reducing the picture by 80% and then by 70% gives a reduction of 56%
70% of 80 = 0.7 × 80 = 56%
This is algebra. Please I need help!!!
SIMPLIFY THIS EXPRESSION:
5(7 + 3x) - 12
Answer:
15x+23
Step-by-step explanation:
can u make me brainliest plz?
Answer:
15x+23
Step-by-step explanation:
:)
Help me and can you put the equation you used
Answer:
3.45652173913
Step-by-step explanation:
the equation is 159 divided by 46
hel.p me samy keeps sayi.ng the f word and she’s gonna get introuble
Answer:
smack her or washout her mouth with soap than
Step-by-step explanation:
Find the base if the part is $570 and the rate of increase is 14%. Round to the nearest cent if necessary.
Answer:
$500.00
Step-by-step explanation:
To solve this problem, you use the basic percent formula.B = P / (1 + R)B = 570 / (1.14)B = 500
(x+12) (3x+2)
Find the value of X
Step-by-step explanation:
Equation at the end of step 1
(3x2 - 38x) + 24 = 0
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 3x2-38x+24
The first term is, 3x2 its coefficient is 3 .
The middle term is, -38x its coefficient is -38 .
The last term, "the constant", is +24
Step-1 : Multiply the coefficient of the first term by the constant 3 • 24 = 72
Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -38 .
-72 + -1 = -73 -36 + -2 = -38 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -36 and -2
3x2 - 36x - 2x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-12)
Add up the last 2 terms, pulling out common factors :
2 • (x-12)
Step-5 : Add up the four terms of step 4 :
(3x-2) • (x-12)
Which is the desired factorization
Equation at the end of step2:
(x - 12) • (3x - 2) = 0
STEP3:Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12
Solving a Single Variable Equation:
Step-by-step explanation:
[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]
WILL GIVE BRAINLIEST!!
Answer:
its y 3
Step-by-step explanation:
Answer:
Find the equation of a line from a graph
To find an equation of a line given two points.
Find the slope using the given points. m=y2−y1x2−x1.
Choose one point.
Substitute the values into the point-slope form: y−y1=m(x−x1).
Write the equation in slope-intercept form.
Step-by-step explanation:
Hope this helps leave a heart c:
In the figure, MQ , SP and NR intersect at point O. What is the value of x? A. 110° B. 60° C. 70° D. 90°
The value of X which is at point O would be = 70°. That is option C.
What is angels of a straight line?The angles of a straight line is defined as the angles that when added up, sums up to 180°.
Both angle NOP, POQ and QOR are angles on a straight line that adds up to 180°.
That is;
X = 180-(50+60)
= 180-110
= 70°
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how can you get 6 with four 6s , the problem is
6 6 6 6 equals 6
Answer:
6666 divided by 1111 equals 6
Step-by-step explanation:
Coach Jones has a rope that is 36 feet long. He wants to divide it into 9 equal parts. Write an equation to find how long each part will be. Use a ? to represent the unknown number. Then solve the equation and explain how you determined the length of each part.
Answer:
36/9= a
and
4
Step-by-step explanation:
you just divide 36 by 9 and you get 4.
The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders attended last year, how many attend this year? A tape diagram. There are 130 students who are 7th graders this year out of 100 who were 7th graders last year. There are question mark students this year out of 500 who were 7th graders last year. Which steps should be used to find 130% of 500? Check all
Answer:
B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year
Step-by-step explanation:
Just took it on Egde
What is the coefficient in the expression 40a-61=17
Answer:
a = 1.95
Step-by-step explanation:
40a - 61 = 17
40a - 61 + 61 = 17 + 61
40a = 78
40a / 40 = 78 / 40
a = 1.95
Write the standard form of the line that passes through the given points (1, 1) and (3, 4)
see what should to do buddy :
step 1-
first we have to find the gradient of the line like this:
a ( 1 , 1 )
b ( 3 , 4 )
.
step 2-
now just need one of the a or b point to put in this equation :
.
step 3-
to find the standard form of the line we have to take the y alone.
so we add the sides of the equation plus 1.
[tex]y = \frac{3}{2}x - \frac{3}{2} + 1 \\ \\ \\ y = \frac{3}{2}x - \frac{1}{2} [/tex]
And we're done.
good luck buddy ♥️♥️♥️♥️♥️
Standard form of the line passing through points (1, 1) and (3, 4) is
y = (3 / 2)x - (1 / 2).
What is line?
"Line is a one dimensional figure which has only one dimension that is length no other dimension present in it."
Formula used
( x₁ , y₁) and (x₂ , y₂) are the two points through which line passes
[tex]\frac{x-x_{1} }{x_{2} -x_{1} } =\frac{y-y_{1} }{y_{2} -y_{1} }[/tex]
According to the question,
Given ,Line passes through points( 1, 1 )and (3,4)
Substitute the value in the formula to get standard form of line we get,
[tex]\frac{x-1 }{3 -1} =\frac{y-1 }{4 -1 }[/tex]
⇒3(x -1) = 2(y -1 )
⇒3x -3 = 2y -2
⇒y = (3/2)x - (1/2)
Hence, standard form of the line passing through points (1, 1) and (3, 4) is
y = (3 / 2)x - (1 / 2).
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