Answer:
16
Step-by-step explanation:
Remark
Linear Pair means two angles add to 180. They have a base and a transversal in common.
Equation
1/3(27x - 6) + 1/2(6x - 20) = 180 Remove the brackets
Solution
9x - 2 + 3x - 10 = 180 Collect like terms
12x - 12 = 180 Add 12
12x - 12 + 12 = 180 + 12 Combine
12x = 192 Divide by 12
12x/12/ = 192/12
x = 16
A delivery truck is carrying an 8,713 lb pound load of pet food.At a weighing station the loaded truck weighs 17,200 lb. What is the weight of the empty truck?
Write sixty-five and three hundredths
a. as a decimal number
as a mixed number
Answer:
65.03 65 3/100
Step-by-step explanation:
Sixty-five and three hundredths can be written as a decimal number as
65.03.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
Sixty-five and three hundredths
Sixty-five = 65
Three hundredths = 0.03
Now,
We can write as a decimal number as,
65.03
Thus,
The decimal number is 65.03
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Which expressions are equivalent to 1/36? check all that apply a) 3^-6 b)6^-2 c) 6^3/6^5 d)6^2/ 6^-1 e) 6×6^-2 f) 6^-9×6^7
Answer:
B)6^-2
Because
6^-2
1/6²
1/36
Step-by-step explanation:
Answer:
b , c , f
Step-by-step explanation:
1/36 = 0.028
a) 3^-6 = 0.0014
b)6^-2 = 0.028
c) 6^3/6^5 = 0.028
d)6^2/ 6^-1 = 216
e) 6×6^-2 = 0.1667
f) 6^-9×6^7 = 0.028
Mr. Rozario bought some oranges and some apples. The ratio of oranges to apples is 2:5. He gave 3/4 to his sister and 34 oranges to his brother. He now has a ratio of 2:3. How many oranges and apples did he buy?
Answer:
He bought 544 oranges and 1,360 apples
Step-by-step explanation:
Here, we want to know the number of oranges and apples bought
Let the number of oranges be x and the number of apples be y
Looking at their ratios;
x:y = 2:5
so;
x/y = 2/5
2y = 5x ••••••(i)
Now, he lost 3/4 of the apples ( by giving out)
What would be left with him is (1-3/4) = 1/4 * y = 0.25y
What is left with him out if the oranges will be; x-34
So now;
0.25y/x-34 = 2/3
3(0.25y) = 2(x-34) •••••••(ii)
From i, y = 5x/2 = 2.5x
Putting this into ii above, we have
3(0.25)(2.5x) = 2x - 68
1.875x = 2x-68
2x-1.875x = 68
0.125x = 68
x = 68/0.125
x = 544
But y = 2.5x
y = 2.5 * 544 = 1,360
Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She plans on buying a hat according to the season every month. Based on this information answer the following Questions.
What is the linear function?
Answer:
y=3+x
Step-by-step explanation:
If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me
At the very beginning, when
x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.
After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1 hats.
After the second month, when
x=2, laurel owns 3 hats, plus the 2
new hats she bought after she started collecting hats. She now owns y=3+2
hats.
Now, we can write the function.
y=3+x
ITS IN THE PICTURE! PLEASE ANSWER CORRECTLY! I will mark brainliest if you are right :D
Answer:
A, B
Step-by-step explanation:
1. A
because the intersection of the line is the solution so no solution means they do not intersect
2. B
because the points on the line that is on top of another line are all solutions and lines have infinite number of points
The temperature dropped 5°C every hour for 7 hours. What was the total number of degrees the temperature changed in the 7 hours?
Answer:
5ºC/h x 7 h = 35ºC
Write the recursive formula of 13, 9, 5...
Step-by-step explanation:
a(n) = a +(n-1)d
a=13
d=9-13=5-9=-4
°.° a(n) = 13 +(n–1)-4
hope this helps
Which expression fits this description?
-The expression is the sum of two terms.
-the first term is the product of 2 and a.
-the second term is the quotient of b and 4.
-----------------------------------------------------------------
(2+a)+(b-4)
2a+(b-4)
2a+b/4
(2+a)+b/4
Answer:
i didthe math, its c
grace and her dad are planning to attend the state fair. an adult ticket is $15. the price of an adult ticket is the price of a student ticket plus $8. write an equation to determine how much grace will pay for a student ticket. x 8
Grace will pay $7 for a student ticket.
Let's write the cost of a student ticket as "S." The price of an adult ticket, according to the information provided, is equal to the cost of a student ticket plus $8. Therefore, this relationship can be expressed as an equation:
Price of adult ticket = Price of student ticket + $8
Since the price of an adult ticket is $15 and the price of a student ticket is "S," the equation becomes:
$15 = S + $8
We now need to separate "S" on one side of the equation in order to figure out how much Grace will pay for a student ticket ("S"). To accomplish this, take $8 away from either side of the equation as follows:
$15 - $8 = S
$7 = S
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a triangles interior angles are 32 and 64 what is the other one. I need this ASAP.
Answer:
86
Step-by-step explanation:
This is because the angles should add up to 180. So 32 + 64 is 96. Then you subtract 96 from 180 to get 86.
idk this plz help me
Answer:
1. {12,0}
hope it helps.
Answer:
3 and 4
Step-by-step explanation:
X - 9y = 12 If x=3 and y=-1
3 - (9*-1) = 12
3 +9 = 12
12 = 12
and
X - 9y = 12 If x=0 and y=-4/3
0 - (9 * -4/3) = 12
0 + 12 = 12
12 = 12
can someone help and explain please? i’ll mark brainliest! thank you
how would i answer this?
9514 1404 393
Answer:
y = (x -1)² -16
Step-by-step explanation:
Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)
Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...
y = (x -h)² +k
where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...
y = (x -1)² -16
You are painting your dining room white and your living room blue. You spend $132 on 5 cans of paint. The white paint costs $24 per can, and the blue costs $28 per can.
a. Which equation represents how many cans of each color you bought? Select all that apply.
1. 24x+28(5-x)=132 <<
2. 24x+28(x-5)=132
3. 24(5-x)+28(5-x)=132
4. 24(5-x)+28x=132 <<
5. 24(x-5)+28x=132
b. How much would you have saved by switching the colors of the dining room and living room?
You would have saved $___
explain.
____________________________
((PLEAS HELPP))
Using proportions, it is found that:
a. The equations are:
1. 24x+28(5-x)=132.4. 24(5-x)+28x=132.b. You would have saved $8 by switching the colors of the dining room and living room.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For item a, considering that 5 cans were bought, there are two options:
x cans of white paint and 5 - x cans of blue paint.5 - x cans of white paint and x cans of blue paint.Hence the equations are given by:
1. 24x+28(5-x)=132.4. 24(5-x)+28x=132.The solution for x is given by:
120 - 24x + 28x = 132
3x = 12
x = 4.
Considering the possible solution, of 4 cans of blue paint and 1 can of white paint.
Exchanging the colors, the price would be of:
4 x 24 + 1 x 28 = 124.
132 - 124 = $8.
You would have saved $8 by switching the colors of the dining room and living room.
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What is the number which is being subtracted from another number is called
Answer:
subtrahend
Step-by-step explanation:
The number which is subtracted from another number is called "subtrahend".
10 - 2 = 8
In this subtraction, the first number, "10" is called the minuend.
The second number, "2" is called the subtrahend.
The third number "8" is the difference.
Mariko spent 2 1/2 hours or less doing Spanish and history homework last night. She spent at least 3/4 hour on history, and she spent more time in Spanish in history. Which system of equalities represents the time Mariko spent on homework if X represents the number of hours spent on Spanish NY represents the number of hours spent on history?
hey i dont know it im just doing a glitch right now
What are the area and the perimeter of a polygon with vertices( 1,-2), (1,5) (7,2)
Answer: P=7+3√5+2√13 units S=21 quadratic units
Step-by-step explanation:
[tex]A(1,-2)\ \ \ \ B(1.5)\ \ \ \ C(7,2)\\[/tex]
The perimeter of a triangle
[tex]|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} \\|AB|=\sqrt{(1-1)^2+(5-(-2))^2} \\|AB|=\sqrt{0^2+(5+2)^2}\\|AB|=\sqrt{0+7^2}\\ |AB|= \sqrt{7^2} \\|AB|=7[/tex]
[tex]|BC|=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2} \\|BC|=\sqrt{(7-1)^2+(2-5)^2}\\ |BC|=\sqrt{6^2+(-3)^2}\\ |BC|=\sqrt{36+9}\\ |BC|= \sqrt{45} \\|BC|=\sqrt{9*5}\\ |BC|=3\sqrt{5}[/tex]
[tex]|AC|=\sqrt{(x_C-x_A)^2+(y_C-x_A)^2}\\ |AC|=\sqrt{(7-1)^2+(2-(-2)^2} \\|AC|=\sqrt{6^2+(2+2)^2}\\ |AC|=\sqrt{36+4^2}\\ |AC|=\sqrt{36+16} \\|AC|=\sqrt{52}\\ |AC|=\sqrt{4*13} \\|AC|=2\sqrt{13} \\[/tex]
[tex]Thus,\\\\P_{ABC}=|AB|+|BC|+|AC|\\\\P_{ABC}=7+3\sqrt{5}+2\sqrt{13}\ units[/tex]
The area of a triangle
Taking A as the first vertex, we find:
[tex]\displaystyle\\Find\ |\overline{AB}*\overline{AC}|\\\left|\begin{array}{cc}x_A-x_C&y_A-y_C\\x_B-x_C&y_B-y_C\\\end{array}\right|=\\\\\left|\begin{array}{ccc}1-7&-2-2\\1-7&5-2\\\end{array}\right| =\\\\\left|\begin{array}{ccc}-6&-4\\-6&3\\\end{array}\right| =\\\\|(-6)*3-(-6)*(-4)|=\\\\|-18-24|=\\\\|-42|=\\\\42\\\\S_{ABC}=\frac{1}{2} |\overline{AB}*\overline{AC}|\\\\S_{ABC}=\frac{1}{2}(42)\\\\S_{ABC}=21 \ quadratic\ units[/tex]
this is math practice work, and I don’t quite understand it :< hellppppp
According to the given Statement:
1. - 4 x - 6 = -24
2. -24 x (-7/6) = -28
3. 4 ÷ -6 = -(2/3)
4 . (4/3) ÷ -24 = -(1/18).
This implies that the numbers is not a whole number.
What exactly seems to be a simplified fraction?When there isn't any common factor between the denominator and numerator other than 1, a fraction is said to be in its simplest form. 11/23, for example, is a simple fraction since 11 and 23 have no common elements.
According to the given information:1. - 4 x - 6 =
2. -24 x (-7/6) =
3. 4 ÷ -6 =
4 . (4/3) ÷ -24 =
For the first :
- 4 x - 6 =
On multiplying this number we get = -24
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be =
-4 and -6.
For the second:
-24 x (-7/6)
On solving this number we get = -24 x (-7/6)
= -4 x -7
= -28
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be = -28/1
For the third:
4 ÷ -6
The can also be written as:
4/-6
on dividing by 2 both numerator and denominator So it gives:
-(2/3)
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be = -(2/3).
For the fourth:
(4/3) ÷ -24
The can also be written as:
(4/3) / -24
On solving this number we get = (4/3) / -24
= 4/72
= -(1/18)
The implies that the number is not a whole number.
The value is not in the form of p/q so the simplified fraction will be =
-(1/18).
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Valerie gives her dog 12 ounces of food in the morning and 12 ounces of food at night there are 75 ounces of dog food in a bag after how many feedings will she need to buy a new bag of dog food explain how you know Valerie will need to buy a new bag of dog food after blank feedings
Answer:
Valerie will need to buy a new bag of dog food after 6 feedings because she would have 0.25 of feedings left.
Step-by-step explanation:
Total number of ounces of dog food = 75 ounces
Ounces that is fed to the dog is = 12 Ounces in the morning and 12 ounces at night.
Hence:
12 ounces = 1 feeding
75 ounces = x
Cross Multiply
12x = 75
x = 75/12
x = 6.25 feedings
Valerie will need to buy a new bag of dog food after 6 feedings because she would have 0.25 of feedings left.
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax.
Exactly how ,any erasers did stefanie buy?
Answer:
(4.25-1.75)/0.25=10
she bought 10 erasers
Answer:
10 Erasers
Step-by-step explanation:
We can establish the following equation:
TP = NP*PP + NE*EP
Where:
TP = Total price; (4.25)
NP = Number of pencil packages; (1)
PP = Pencil Package's Price; (1.75)
NE = Number of erasers; (What we are looking for)
EP = Erasers Price; (0.25);
Then:
4.25 = 1*1.75 + NE*0.25;
4.25 - 1.75 = NE*0.25;
2.5/0.25 = NE;
10 = NE.
Simplify the expression.
4x+6-7x
Answer:
-3x+6
Step-by-step explanation:
-2.7f + 0.8f -14 -5 please help
Answer:
3.5f − 19
Explanation:
2.7f + 0.8f − 14 − 5
= 2.7f + 0.8f + −14 + −5
[ Combine Like Terms ]
= 2.7f + 0.8f + −14 + −5
= (2.7f + 0.8f) + (−14 + −5)
= 3.5f + −19
-PNW
I really need help plz
Answer:
I think answer is A
Step-by-step explanation:
Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.
PLS ANSWER I DO NOT HAVE A LOT OF TIME ANSWERING THIS IS THE ONLY WAY I CAN PASS
Write an Inequality and choose the correct graph of the solution. Graph by placing the correct inequality on the line.
The cost of renting a car is $25 per day plus a one-time fee of $75.50 for insurance. How many days can the car be
rented if the total cost is to be no more than $525?
Answer:
the second choice 25x+75.50<525
75.50 + 25x < 525
The car can be rented for 17 days.
On the line you will have a lone pointing to the left with an open circle on 17.
75.50 + 25x < 525
25x < 525 - 75.50
25x < 449.50
x < 449.50/25
x < 17.98
A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?
Answer:
1.25m/h is the answer for the question
Write 2x+y=17
in slope-intercept form.
Answer: y = -2x +17
Step-by-step explanation:
y = mx + b
You are trying to make the equation look like that
So you subtract the 2x to the other side
Hope this helps! :)
Answer:
y=-2x+17
Step-by-step explanation:
subtract 2x on both sides
What is the slope-intercept equation for the line below?
Answer:
D. y = 5/4x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y-intercept (0, -4)
Random Point (4, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1+4}{4-0}[/tex]Add/Subtract: [tex]m=\frac{5}{4}[/tex]Step 3: Write Equation
Substitute
y = 5/4x - 4
the coordinates of the figure with the given coordinates after the transformation on the plane.
preimage: J(-3, 0), K(-2, 4), L(-1, 0)
image: triangle QRS, translation of JKL along the vector(5, -4)
We need to know about translation along vector to solve the probelm. The coordinates of the figure after translation along the vector (5,-4) are (2,-4), (3,0) and (4,-4).
Translation means moving an object from one place to another. Every point on the object moves the same amount of distance and in the same direction. Translation of a point along a vector means moving the point to a different location with respect to the given vector. Here we have three points which form a triangle JKL, we have to translate triangle JKL with respect to the vector (5,-4) to get triangle QRS. Inorder to translate a point along a vector we add the x-coordinate of the vector to the x-coordinate of the point and same for the y-coordinates.
J (-3,0) Q (-3+5,0-4)≡(2,-4)
K (-2,4) R (-2+5,4-4)≡(3,0)
L (-1,0) S (-1+5,0-4)≡(4,-4)
Therefore we get the coordinates of triangle QRS after translation of triangle JKL along vector (5,-4) to be (2,-4), (3,0) and (4,-4)
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Brainliest to correct answer
The relation between x and y is the same.