Answer:
p = -7
a = 10
Step-by-step explanation:
Question 1:
Step 1: Write out equation
-22 = 12p - 2(5p + 4)
Step 2: Distribute
-22 = 12p - 10p - 8
Step 3: Combine like terms (p)
-22 = 2p - 8
Step 4: Add 8 to both sides
-14 = 2p
Step 5: Divide both sides by 2
-7 = p
Step 6: Rewrite
p = -7
Question 2:
Step 1: Write out equation
11a - (4a - 7) = 77
Step 2: Distribute
11a - 4a + 7 = 77
Step 3: Combine like terms (a)
7a + 7 = 77
Step 4: Subtract 7 on both sides
7a = 70
Step 5: Divide both sides by 7
a = 10
Plz help i need this
Answer:
perpendicular bisector of a segment
Step-by-step explanation:
When using compass and drawing two arcs, the point the two arcs intersect at a point above and below the line, when connect the two point it forms a perpendicular bisector of a segment
9/4 divided by 3/8 ?
Answer:
6
Step-by-step explanation:
What is the solution set of -|x| = -8?
A. {8}
B. {-8}
C. {-8, 8}
D. no solution
Need an answer soon.
Thank you to that who figures it out.
Enter the terms and the coefficients of the expression.
3x - 90y - 70
The terms are
and
The coefficients are
and
Answer:
terms: 3x,+90y,-70
coefficient:3,-90,-70
Solve the following equation. Show all steps.
4(3y – 6) = – 3(8 – 4y)
Answer:
0=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3y−6)=−3(8−4y)
(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)
12y+−24=−24+12y
12y−24=12y−24
Step 2: Subtract 12y from both sides.
12y−24−12y=12y−24−12y
−24=−24
Step 3: Add 24 to both sides.
−24+24=−24+24
Answer:
All real numbers
Step-by-step explanation:
So we have the equation:
[tex]4(3y-6)=-3(8-4y)[/tex]
First, distribute the left side:
[tex]12y-24=-3(8-4y)[/tex]
Now, distribute the right:
[tex]12y-24=-24+12y[/tex]
Subtract 12y from both sides. Both sides cancel:
[tex]-24=-24[/tex]
This statement is true.
In other words, our solution is all real numbers.
And we're done!
A box of crayons costs $1.75, including taxes. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. write and inequality to solve for the number of boxes of crayons My. Valentino can purchase with his budget.
Answer:
I believe it would be 14
Step-by-step explanation:
A coffee shop served 24 people before 7:00am. Two-thirds had regular coffee, one-eighth had decaf, and the remaining ordered a specialty coffee. How many customers ordered a specialty coffee?
Answer:
5 people
Step-by-step explanation:
Regular- 2/3 times 24/1 gets you 16 people
Decaf- 1/8 times 24/1 gets you 3 people
16+3 is 19
24-19=5 people
The number of customers that ordered a specialty coffee is 5.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Total number of customers = 24
Customers having regular coffee = Two-thirds
⇒ Number of customers having regular coffee = 2/3 * 24 = 16
Customers that had decaf = one-eight
⇒ Number of customers having decaf = 1/8 * 24 = 3
Total number of customers having regular coffee and decaf = 16 + 3 = 19
Therefore, Customers that ordered a specialty coffee = Total number of customers - Total number of customers having regular coffee and decaf
⇒ Customers that ordered a specialty coffee = 24 - 19
⇒ Customers that ordered a specialty coffee = 5
Thus, the number of customers that ordered a specialty coffee is 5.
To learn more about fractions:
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You can buy 3 apples at the Quick Market for $1.05. You can buy 5 of the
same apples at Stop and Save for $2.30. Which place is the better buy?
Answer:
Stop and Save is a better value
Step-by-step explanation:
[tex]\frac{3}{1.05} = 2.86\\\frac{5}{2.30} = 2.17[/tex]
Answer:
3 apples at quick market.
Step-by-step explanation:
they only cost $0.44 dollars each
Find the lcm of 36 and 48
Answer:144
Step-by-step explanation:
36 x 4 = 144
48 × 3 = 144
An olympic-size swimming pool is a rectangle that measures 50 meters in length and 25 meters in width. Make a scale drawing of an olympic-size swimming pool where 1 centimeter represents 5 meters. What are the length and width of your scale drawing?
Answer:
Length: 10 cm
Width: 5 cm
Step-by-step explanation:
The required length and width of the scale drawing are given a length will be 10 cm and the width will be 5 cm.
Given that,
A swimming pool of rectangle shape that measures 50 meters in length and 25 meters in width. To make a scale drawing of an Olympic-size swimming pool where 1 centimeter represents 5 meters.
The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
Given scale: 1 cm = 5 m
So, for 1 m = 1/5 cm
Now,
Length = 50 × 1/5 = 10 cm
Width = 25 × 1/5 = 5 cm
Thus, the required length and width of the scale drawing is given a length will be 10 cm and a width will be 5 cm.
Learn more about Scale factor here :
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Help me please this is very important
Answer:
assuming that point u is inbetween points T and V then the length of TV would be 13
Step-by-step explanation:
T-----------U--V
A crayon is 4 inches long. A wooden board is 8 feet long. Which diagram and statement best represents their lengths?
The wooden board is 24 times the length of Crayon which is represented by Figure C.
We have,
A crayon is 4 inches long.
A wooden board is 8 feet long.
We know that
1 feet = 12 inch
So, 8 feet = 12 x 8 = 96 inches
Now, the factor between Caron and wooden block
= 96 / 4
= 24
Thus, the wooden board is 24 times the length of Crayon which is represented by Figure C.
Learn more about Scale Factor here:
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If f left parenthesis x right parenthesis equals 3 x plus 4 evaluate to find what f left parenthesis negative 2 right parenthesis space equals space ?
Answer:
-2
Step-by-step explanation:
Given the function f(x) = 3x+4. To find f(-2), we will substitute x = -2 into the given function as shown;
F(-2) = 3(-2)+4
F(-2) = -6+4
F(-2) = -2
Hence the value of f(-2) is -2
Victor is saving for a used car that costs $8,000. He plans to save $500 every month. Calculate how long it would take him to save to buy the car?
How do you know that the sum of (-2 3/4) and 5/9 is rational?
Answer:
Because they are fractions every fractions is rational .
Step-by-step explanation:
Answer:
The sum is a fraction
Step-by-step explanation:
Arrange these numbers in order from least to greatest.
0.352
3.3%
1/5
Answer:
1/5, 3.3%, 0.352
Step-by-step explanation:
1/5 as a decimal is 0.2
the greatest is 0.352 because it has the highest number in the tenths place.
that is why the answer is:
1/5, 3.3%, 0.352
Answer:0.352, 3.3%, 1/5
Step-by-step explanation:
0.352 is the smallest amount and 1/5 is obviously the biggest if you go from 100, 1/5 would be 20 and 3.3% would be 3.3 and then .352 would be last not even equaling 1.
How do you change from Standard Form to Slope Intercept Form?
7y - 12x = 39
Answer:
y=12/7x +39/7
Step-by-step explanation:
7y-12x=39
7y=12x+39
y=12/7x+39/7
Answer:
7y -12x = 39
+12x +12x
7y = 39 + 12x
---- ----------
7 7
y= 12/7x + 39/7
Jeremy bought 3 pairs of pants that cost the same amount of money. He had a $10 off coupon for the pants. Using the coupon, Jeremy spent $35. Find the cost of each pair of pants before the coupon was
applied (Don't forget your units!) PLEASE REPLY ASAP
Answer: each pair of pants costed 15 $
Step-by-step explanation:
35+10 = 45/3 = 15
Answer: $15 each
Step-by-step explanation: add 35 + 10 = 45, then divide 45 ÷ 3 = 15
PLEASEEE HELP ASAPPP!!!!
Set the sliders for radius and central angle to the predetermined values in the table. Then complete the table with the required values and your observations.
Answer:
Measure of Central Angle/360:
1/4
1/2
3/4
1/4
1/2
3/4
Visually, how much of the circle is covered by the sector?
one-fourth
one-half
three-fourths
one-fourth
one-half
three-fourths
Step-by-step explanation: Plato Answer
Plato exsample :) good luck
If 3 is one-quarter of some number, what is that number
explain how would you find the square root of a number
Answer:
multiply
Step-by-step explanation:
i know this from 3rd grade
Answer:using division method
Step-by-step explanation:
Example is the square root of 144
144 divided by the less prime number till 144 can not be divided again
144÷2=72
72÷2=36
36÷2=18
18÷2=9
9÷3=3
3÷3=1
Then you group the prime numbers used
(2×2)×(2×2)×(3×3)
Then take one of the prime numbers form each group
2×2×3=12
Solve for x: 5x + one third(3x + 6) > 14
Answer:
x > 2
Step-by-step explanation:
Given
5x + [tex]\frac{1}{3}[/tex](3x + 6) > 14 ← distribute and simplify left side
5x + x + 2 > 14
6x + 2 > 14 ( subtract 2 from both sides )
6x > 12 ( divide both sides by 6 )
x > 2
Answer: x > 2
Step-by-step explanation:
5x + 1/3(3x +6) > 14 Distribute
5x + 1x + 2 > 14 Combine like terms on the left side
6x + 2 > 14 Subtract 2 from both sides
-2 -2
6x > 12 Divde both sides by 6
x > 2
solve for x
-x + 1 = x + 21
Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
[tex]-x+1=x+21[/tex]
Subtract 1 from both sides:
[tex]-x+1-1=x+21-1\\-x=x+20[/tex]
Subtract x from both sides:
[tex]-x-x=x+20-x\\-2x=20[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{20}{-2}\\x=-10[/tex]
6. Which of the following is equivalent to (2x + 2)(3x+1)
(1) 6x² +2
(3) 6x² +8x+2
(2) 5x2 + 8x+3
(4) 16x ^3
Answer:
6x2+8x+2
this is the answer
the corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?
On the grid: Point A (-6,2); Point B (2,6); Point C (7,1); Point D (3,-5)
Answer:
34.6 units
Step-by-step explanation:
The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.
The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).
Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:
Distance between point A(-6, 2) and point B(2, 6):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-6, 2)) = (x_1, y_1) [/tex]
[tex] B(2, 6) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2} [/tex]
[tex] AB = \sqrt{(8)^2 + (4)^2} [/tex]
[tex] AB = \sqrt{64 + 16} = \sqrt{80} [/tex]
[tex] AB = 8.9 [/tex] (nearest tenth)
Distance between B(2, 6) and C(7, 1):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] B(2, 6) = (x_1, y_1) [/tex]
[tex] C(7, 1) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(7 - 2)^2 + (1 - 6)^2} [/tex]
[tex] BC = \sqrt{(5)^2 + (-5)^2} [/tex]
[tex] BC = \sqrt{25 + 25} = \sqrt{50} [/tex]
[tex] BC = 7.1 [/tex] (nearest tenth)
Distance between C(7, 1) and D(3, -5):
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(7, 1) = (x_1, y_1) [/tex]
[tex] D(3, -5) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2} [/tex]
[tex] CD = \sqrt{(-4)^2 + (-6)^2} [/tex]
[tex] CD = \sqrt{16 + 36} = \sqrt{52} [/tex]
[tex] CD = 7.2 [/tex] (nearest tenth)
Distance between D(3, -5) and A(-6, 2):
[tex] DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] D(3, -5) = (x_1, y_1) [/tex]
[tex] A(-6, 2) = (x_2, y_2) [/tex]
[tex] DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2} [/tex]
[tex] DA = \sqrt{(-9)^2 + (7)^2} [/tex]
[tex] DA = \sqrt{81 + 49} = \sqrt{130} [/tex]
[tex] DA = 11.4 [/tex] (nearest tenth)
Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units
dinner at a restaurant cost $55.00. the diners decide to leave a 20% tip. what is the cost of their total bill.
A. $11
B. $30
C. $72
D. $66
Answer:
D. 66
Step-by-step explanation:
20% of 55 is 11
11 + 55 = 66
Answer:
A.11
Step-by-step explanation:
so 55 * 0.2 = 11
20% = 2/10
what are the terms and coefficients of the expression?
[tex]12 + 8r - 3(s - 5) + 15t[/tex]
any crime and violation of _______ has a specific punishment
Fractions, help please!
Answer:
which one ???follow me and mark me brainliest
Answer:
25. books: 1/7, games: 5/14
26. clothes: 3/14, games: 5/14, toys: 2/7
27. books: 1/7, toys: 2/7
Step-by-step explanation:
1) The bar graph shows 2 for books, and Tony got 14 gifts; therefore, 2/14 were books. However, 2/14 isn't the answer because they are asking for the simplest form which is 1/7. Keep repeating this process for the rest of the gifts and you will get your answer.
Hope this helps!
LaTeX: 5+\sqrt{81}\div9
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]5+\sqrt{81}\div9[/tex]
[tex]5+\frac{\sqrt{81}}{9}[/tex]
[tex]5+\frac{9}{9}[/tex]
[tex]5+1[/tex]
[tex]6[/tex]