[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]
[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]
[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]
[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]
[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]
[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]
[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]
[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]
[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7
[/tex]
which fraction is less 2/10 or 5/8 or neither they are equal
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
0.375, 75% , 5/8, 1/2
From least to greatest pls
700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
(-2 1/3 + 5 1/5) + 1 1/3 =
4Answer:
exact form:
[tex]\frac{21}{5\\}[/tex]
decimal form:
4.2
mixed number form:
4[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
12) 12 ft. = ? yd. (1yd. = 3 ft)
13) 2 gal. = ? qt. (4qt.= 1 gal.)
14) 2 gal. = ? oz. (1qt. = 32 oz.)
Help!!
5(x – 10) = 30 – 15x
Solve
Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
If the leading coefficient is negative, always factor out the negative.
-x^2+5x-6
Answer:
-1(x-2)(x-3)
Step-by-step explanation:
first we factor the negative:
-1 (x^2 - 5x +6 )
the next step, (if possible) is to guess 2 numbers that multiplied are 6
and added are -5
in this case is easy to see that those numbers are -2 and -3
The solution then is:
-1(x-2)(x-3)
If guessing the 2 numbers doesn't work, you need to complete the square
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?
The price of one pound of banana = b
As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.
The price of 3 pounds of banana = 3b,
and the price of 2 pounds of oranges = 2(b+0.75).
Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
So, for this situation the required equation is
3b + 2(b+0.75) =4.5
On solving this equation, we have
[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]
[tex]\Rightarrow 5b +1.5=4.5[/tex]
[tex]\Rightarrow 5b =4.5-1.5=3[/tex]
[tex]\Rightarrow b =\frac 3 5=0.6[/tex]
Hence, the price of one pound of banana = $ 0.60
and the price of one pound of orange
=b+0.75= 0.60+0.75=$1.35.
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
Kainoa collects trading cards. He has 1,032 baseball cards, 709 basketball cards, and 833 football cards. He wants to put all of them in albums. Each page in the albums holds 18 cards. How many pages will he need to hold all of his cards? He will need pages
Answer:
143 pages
Step-by-step explanation:
Kainoa has:
1,032 baseball cards, 709 basketball cards, and 833 football cards.
Totally number of cards =
(1032 + 709 + 833)cards = 2574 cards
We are told that:
Each page in the albums holds 18 cards
The pages he will need to hold all of his cards is calculated as:
2574 cards ÷ 18 cards = 143 pages.
A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated. What is the approximate probability that the first digit will be 6? 0.00595 0.03571 0.11111 0.66667
Answer: C
Step-by-step explanation:it’s the 3rd ans on edge
The question is an illustration of probability, and the approximate probability that the first digit will be 6 is (c) 0.11111
How to determine the probability?The number of digits in the pin = 3
Given that each digit cannot be repeated, the total number of pin is:
Pin = 9 * 8 * 7
Evaluate
Pin = 504
If the first digit is 6, the number of pins is:
First digit6 = 1 * 8 * 7
First digit6 = 56
So, the probability that the first digit is 6 is:
P = 56/504
Evaluate
P = 0.1111
Hence, the approximate probability that the first digit will be 6 is (c) 0.11111
Read more about probability at:
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Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
Answer:
D: 0.4 m/s
Step-by-step explanation:
32.5 in 13 sec
32.5/32.5=1
so
13/32.5 would be the answer
1 meter in 0.4
Answer:
C
Divide 32.5 with 13, because m/s means meters divide by seconds
im not sure tho
4j+2=h solve for j please help
Answer:
j = [tex]\frac{h-2}{4}[/tex]
Step-by-step explanation:
Given
4j + 2 = h ( subtract 2 from both sides )
4j = h - 2 ( isolate j by dividing both sides by 4 )
j = [tex]\frac{h-2}{4}[/tex]
2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?
Answer:
0=17
Step-by-step explanation:
2X - 10=7 +2x
-10 = 7
7 is fasle
i believe the answer is 17
1/2 (8x-2) + (-2x + 1/4)
Angelina put 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the
tub now has 35 liters of water in it. Angelina says he is wrong.
Carry out your steps. Explain who is correct and why.
Answer:
Jack is wrong because 3,000 milliliters is equal to 3 liters. If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
8(4+4) =7 38+38
=86
20 POINTS AND BRAINLIEST
This table shows the cost (y) for mailing a package. The customer is charged an
initial fee for mailing the package. An extra charge is added based on the weight of
the package (x).
Package Weight
1.3 lb
1.5 lb
2.0 lb
3.0 lb
5.0 lb
Cost
$3.70
$4.00
$4.75
$6.25
$9.25
What does the value of the y-intercept represent when the data in the table are
modeled using a linear function?
the package weight
the total mailing cost
the cost per pound
the initial fee
The initial fee.
Hope this helps ;)
Answer:
initial feee
Step-by-step explanation:
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.
Answer:
It's a &d
Step-by-step explanation:
The required Area of trapezoid(a) = 1/2(b1+b2)h.
What is quadrilateral?
Quadrilateral is four sided shape as given in the picture in question.
Question seems to be incomplete. So the correct option resembles with
Area of trapezoid a = 1/2(b1+b2)h
Thus, the required area of trapezoid
a = 1/2(b1+b2)h
Learn more about quadrilateral here:
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I WILL GIVE BRAINLIST IF YOU ANSWER ALLLLLLLLL
Activity
A pom pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom pom has a total of 80 strands, how many strands of each color are needed to make a pair of pom-poms?
Part C How many strands of each color are required to make a pair of pom-poms? Use the values you found in part B for w, b, and r. Show your work
Part D You can solve the problem in Part C using a different method. To set up this method, first find the total number of strands required to make pair of pom-poms.
Part F Did you get the same answer in part C and E?
Answer: 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
Step-by-step explanation:
Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).
To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?
Solution:
Total Strands = 80
White Strands = 35%
No. of white strands =
Blue Strands = 25%
No. of blue strands =
Red Strands = 40%
No. of Red strands =
Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.
Answer:
Soccer = 120
Tennis = 220
Step-by-step explanation:
The total number of students enrolling for soccer and tennis classes is, 340.
The ratio number of students enrolling for soccer and tennis classes is, 6:11.
Then,
6x + 11x = 340
17x = 340
x = 20
The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.
The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.
What is the sum of the measures of angles 2 and 3? Explain your answer.
Answer:
Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.
As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:
Angle 1 is opposite of angle 3Angle 2 is opposite of angle 4Angle 2+3 is opposite of angle 1+4Write the sentence as an equation.
m divided by 341 equals 315
Answer:
m/341=315
Step-by-step explanation:
Answer:
m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
Janessa,has 18$. She buys a ticket to a movie and a smoothie. How much money dose she have left? Ticket: $8.75
Celery Sticks: $3.75
Smoothie: $2.85
What do you need to find before you can solve the problem?
A. The total amount of money Janessa has in her bank account.
B. The cost of a smoothie
C.The total amount of money Janessa had spent
D. The total amount of money Janessa has left.
Answer:
B. The cost of a smoothie
Step-by-step explanation:
The answer to the problem: 8.75 + 2.85 = $11.60
But to solve the problem you have to know the price of a smoothie.
What is 12% of 504 please let me know
Answer:
504 * 0.12 = 60.48
Step-by-step explanation:
math
Answer:
its 60.48
Step-by-step explanation:
Convert 12% to a decimal which is 0.12
then do the sum 0.12x504
Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property
Answer:
C) Subtraction property of equality.
Step-by-step explanation:
Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:
[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].
Kindly refer to the attached image for details of the given angles and lines.
Proof that [tex]\angle q\cong \angle s[/tex] :
[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]
Here, subtraction property of equality is used in the last step shown in the above.
As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.
Answer:
C
Step-by-step explanation:
Because I am a genius
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]