Caleb solved this equation and recorded his work.
7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6
2. 15.6x − 16.4 = −2.3x + 35.4
3. 17.9x − 16.4 = 35.4
4. 17.9x = 51.8
5. x ≈ 2.89
When Caleb verified his solution, it didn’t work. What mistake did he make?
In step 1, the distributive property was not used properly on the right side of the equation.
In step 2, the like terms were not combined properly on the right side of the equation.
In step 3, the addition property of equality was not used properly to isolate the variable term.
In step 5, the division property of equality was not used properly to solve for x.
Answer:
its B
Step-by-step explanation:
edg
Answer:
Step-by-step explanation:
In step 2, the like terms were not combined properly on the right side of the equation. or B
Mr. Benitez sells houses. He gets a 6% commission on all sales.
How much commission would Mr. Benitez earn on a house that
sells for $400,000?
Answer:
$24,000
Step-by-step explanation:
$400,000 x 6%= $24,000
) Which ratios have a unit rate greater than 1? Choose ALL that apply. 9 5 miles : 6 hour 3 (7) 7 miles : hour 4 1 2 miles: 3 hours 8 2 NI 9 1 3) 4 miles : 3- hours 3 1 3 mile : 2- hours 3 8 } mile : 2 miles : 3 hours 5
I got this right, look....
Evidence:
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The ratios that have a unit rate greater than 1 are:
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
The unit rate of each given ratio.
9/8 miles = 5/6 hours
Multiply 6/5 on both sides.
6/5 x 9/8 miles = 1 hour
54/40 miles = 1 hour
27/20 miles = 1 hour
1.35 miles = 1 hour
4 miles = 3(1/3) hours
4 miles = 10/3 hours
Multiply 3/10 on both sides.
3/10 x 4 miles = 1 hour
6/5 miles = 1 hour
1.2 miles - 1 hour
7 miles = 3/4 hours
Multiply 4/3 on both sides.
4/3 x 7 miles = 1 hour
28/3 miles = 1 hour
9.33 miles = 1 hour
We see that,
All of them have unit rates greater than 1.
Thus,
The ratios that have a unit rate greater than 1 are:
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
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The complete question is:
Which ratios have a unit rate greater than 1?
Choose all that apply.
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
6. Find the missing angle.
Step-by-step explanation:
one triangle has total 180°. so, 180° - 45° - 30° = 105°
Answer : 105°
Which division problem is equivalent to 25?
CLEAR CHECK
5÷2.
Divide 5 by 2.
Cut 5 equal sections from a 2-foot-long ribbon.
Split 5 cups of yogurt into 2 equal servings.
Find a positive coterminal angle less than 360°.
With the given angle -450
======================================================
Explanation:
The angle -450 is not between 0 and 360. Add on 360 so that we do one full revolution to get -450+360 = -90.
The angle -90 isn't between 0 and 360 either. We repeat the last step by adding on 360 to get -90+360 = 270.
The result 270 is between 0 and 360, so we stop here.
The angle -450 and 270 both point in the same direction. Both point directly south. This is why they are considered coterminal angles.
Two numbers are graphed on the number line below. Consider the inequality t
values graphed on the number line make the inequality true?
-8 -7 -6 -5 -4 -3 -2 -1
0
t = -3 andr
t = 3 and r = -7
t = 7 and r = -3
t = -7 and r =
3
My Progress >
Answer: t=7 and r=-3
So if you t<r + 5 count the number line
Step-by-step explanation:
will mark brainliest! :)
JKLM is a rhombus. If m
Answer:
55
Step-by-step explanation:
took the test
Answer:
The second one is correct
Step-by-step explanation:
a box of dried fruit has 51 calories in 3 servings. how many calories are in 1 serving?
Answer:
17 calories
Step-by-step explanation:
Solve the inequality.
-4x > 12
Answer:
x<3
Step-by-step explanation:
-4x>12
-x>3
x<3
7. Jan ran 4750 m, Mo ran 3.35 km, and Hal was 50 m short of 6 km. How
many kilometres did they run in total? *
3times what to get -2
Answer: -0.6 recurring
Step-by-step explanation:
-2/3 = -0.6 recurring
Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
(dont think u can graph so its okay)
Answer:
y+2=.25(x+3)
Step-by-step explanation:
The point slope form is shown as follows
y-y₁=m(x-x₁)
We know that the slope (m) is equal to .25 and that x₁=-3 and y₁=-2
We can plug this in and get
y-(-2)=.25(x-(-3))
Simplify the signs to get
y+2=.25(x+3)
NEED HELP ASAP PLZZZZZZZZZZZZZZZ
Hal works in a toll booth. About 20 to 23 cars pass through Hal's booth every 26 minutes. Which is a reasonable estimate for the number of cars that pass through Hal's booth in 156 minutes?
A.
9 cars
B.
129 cars
C.
22 cars
D.
559 cars
Answer: I would say B would be the answer Because....
Step-by-step explanation:
if about 20 to 23 cars pass through every 26 minutes, and haw many cars pass by in 156 minutes...
26 x 6 = 156
6 x 20 = 120
6 x 21 = 126
6 x 22 = 132
6x 23 = 138
all thoes numbers are around B.
A person can pay $42 for a membership to the art museum and then go to the museum for just $4 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $90 ?
Answer:
The member of the art museum can visit 22 times
Step-by-step explanation:
I have no idea what I'm doing
Answer:
60
Step-by-step explanation:
The two angles that are shown are corresponding meaning that they are the same angles so to solve for x you would set up an equation and because they are the same the equation would be
10x-20=7x+4
step 1 add 20 to each side
10x=7x+24
step 2 subtract 7 from each side
3x=24
step 3 divide by 3 to each side
x = 8
Evaluate the following expression. Be sure to show your work.
Answer:
12
Step-by-step explanation:
[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]
[tex] \frac{36}{3} = 12[/tex]
Answer:
Step-by-step explanation:
Here you go mate
Step 1
[tex]\frac{6^2}{3}[/tex] Equation
Step 2
[tex]\frac{6^2}{3}[/tex] Simplify the fraction
[tex]\frac{36}{3}[/tex]
Step 3
[tex]\frac{36}{3}[/tex] Divide both sides by 3
12
answer
12
Hope this helps
NUMBER 2 AND 3. GIVING BRAINLIEST!!
Answer:
2. a. 11/4
b. 8/6
3. a. 2 1/6
b. 3 2/3
Step-by-step explanation:
So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.
For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.
Answer:
Step-by-step explanation:
2)a)
[tex]2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\[/tex]
3)
[tex]a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\[/tex]
Please help! - If the triangles are congruent, pick the postulate that proves they are congruent. If they aren't, choose not congruent.
Please help me I will mark brainliest
Answer:
The answer is c man hope this helped
2x - 8y = 16 and 3x - 2y = 19 How would I solve by substitution?
please help me please will give brainliest to anyone who is good
show your work
Answer:
complet the squares
(x^2+14x)+(y^2+12y)=-60
add negative and positive 1/2 of linear coefs inside parenthaees
14/2=7, 7^2=49
12/2=6, 6^2=36
(x^2+14x+49-49)+(y^2+12x+36-36)=-60
factor perfect square
((x+7)^2-49)+((y+6)^2-36)=-60
get rid of parnthaeses
(x+7)^2-49+(y+6)^2-36=-60
(x+7)^2+(y+6)^2-85=-60
add 85 to both sides
(x+7)^2+(y+6)^2=25
B is answer
Step-by-step explanation:
A rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle. What is the area in square centimeters of the dilated rectangle?
Answer:it’s 4,000
Step-by-step explanation:
The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.
What is scale factor? How it is used in Dilating sides?
Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -
K = a/b.
Rewriting, we get -
a = Kb
If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]
Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.
Now, after dilation the new dimensions will be -
Length = 3.5 x 80 = 280 cm
Width = 3.5 x 50 = 175 cm
The area in square centimeters of the dilated rectangle will be -
A[d] = 280 x 175 = 49000 square centimeters
Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters
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y=4+3x function rule
You have 64 grams of a radioactive kind of ruthenium. If its half-life is 3 days, how much will be left after 6 days?
Answer:
1g
Step-by-step explanation:
64
32
16
8
4
2
1
what is -2(3x^2-7x+4)+(x+1)(x-7)
Answer:
−5^2x2+8x−15
Step-by-step explanation:
Hope it helps!
if y=3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)
Answer:
2y + 2z
6x³+2x²-10 + 2x²-24
6x³+4x²-34 ■
Step-by-step explanation:
The polynomial which is equivalent to 2 (y + z) is 6x³ + 4x² - 34.
What is Polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer.
Here, y = 3x³+x²-5 and z = x²-12
Now,
2 ( y + z ) = 2 ( 3x³+x²-5 + x²-12 )
2 ( y + z ) = 2 ( 3x³ + 2x² - 17 )
2 ( y + z ) = 6x³ + 4x² - 34
Thus, the polynomial which is equivalent to 2 (y + z) is 6x³ + 4x² - 34.
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5-6
(a) 1
(b) -1
(c) 11
Select the correct answer !!!!!HELP OVER HERE!!!!!!!!!
Answer:
5 - 6
(b) since 5 is lesser than 6
the answer is -1
if the question was the other way round; 6 - 5 is 1
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term.
Answer:
0.527
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term
The sequence given in the above Question is a geometric sequence.
The formula for the nth term of a geometric sequence is given as:
an = a × r ^n - 1
Where
a = First term
r = Common ratio
n = nth term
From the above question, we are asked to find the 7th term
Hence:
a = 6
Common ratio = Second term/first term
= 4/6 = 2/3
n = 7
The 7th term = 6 × (2/3 )^7 - 1
= 6 × (2/3)^6
= 6 × (2/3)⁶
= 0.5267489712
Approximately to the nearest thousandths the 7th term = 0.527
In which quadrant does the point (15,-7) lie?
Answer:
Quadrant 4
Step-by-step explanation:
Quadrant 1: Positive x and Positive y
Quadrant 2: Negative x and Positive y
Quadrant 3: Negative x and Negative y
Quadrant 4: Positive x and Negative y
For point (15, -7), we have a Positive x and a Negative y so it belongs in Quadrant 4.
The quadrant the given point (15,-7) lie is fourth quadrant.
The first quadrant in Cartesian coordinate is given as;
= (x, y)
The second quadrant in Cartesian coordinate is given as;
= (-x, y)
The third quadrant in Cartesian coordinate is given as;
= (-x, -y)
The fourth quadrant in Cartesian coordinate is given as;
=(x, -y)
(15,-7) corresponds to (x, -y)
Thus, the quadrant the given point lie is fourth quadrant.
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