Answer:
a , b
Step-by-step explanation:
ans this are the variables
At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase you save $ 0.20 $0.20dollar sign, 0, point, 20 on gas. Is your total savings on gas proportional to the number of beverages you purchase? Choose 1 answer:
Answer:
Yes! Our total savings on gas proportional to the number of beverages you purchase.
Step-by-step explanation:
Here, each liter of gas costs $3.
Every beverage you purchase you save $0.20.
So, if you purchase for $9, you will save 3*$0.20 = $0.60
So, this is proportional because when increase in purchase, there is proportional increase in savings.
3/12 + 5/6 Convert the Improper fraction to a mixed number
AC = BC, <ACB = 40°, <AMN = 25° <CPM = ?
Answer:
∠ CPM = 135°
Step-by-step explanation:
given AC = BC , then Δ ABC is isosceles with base angles congruent , then
∠ ABC = [tex]\frac{180-40}{2}[/tex] = [tex]\frac{140}{2}[/tex] = 70°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then
∠ AMN + ∠ BPM = ∠ ABC , that is
25° + ∠ BPM = 70° ( subtract 25° from both sides )
∠ BPM = 45°
∠ CPM and ∠ BPM are adjacent angles on a straight line and sum to 180°
∠ CPM + 45° = 180° ( subtract 45° from both sides )
∠ CPM = 135°
is 4,3,2,1 arithmetic or geometric
Answer:
Arithmetic
Step-by-step explanation:
A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant
Part D You can solve the problem in part Cusing a different method. To set up this method, first find the total number of strands required to make a pair of pom-poms.
Answer:(Actual answer they provide) There are two pom-poms in a pair. The total number of strands required to make pom-poms is 80 x 2 = 160
Step-by-step explanation:
Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride loader on "Space Mountain" and averages twenty passengers every twenty-five minutes. If Maria and Sal work together, about how many minutes will it take to load twenty passengers?
Answer:
36 passengers
Step-by-step explanation:
Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.
Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.
If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.
In 20 minutes, they can load
1.8 passengers/minute * 20 minutes = 36 passengers
It took both Maria and Sal 11.1 minutes to load 20 passengers
The number of passenger Maria loads each minute = 20 passengers/20 minutes = 1 passenger per minute
The number of passenger Sal loads each minute = 20 passengers/25 minutes = 0.8 passenger per minute
Let t represent the total time taken to load the 20 passengers, hence:
(1 passenger per minute × t minutes) + (1 passenger per minute × t minutes) = 20 passengers
t + 0.8t = 20
1.8t = 20
t = 11.11 minutes
Find out more at: https://brainly.com/question/18280879
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros. . How many items must be sold each day in order to make a profit
Answer:
15
Step-by-step explanation:
To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula
[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}[/tex]
[tex]x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}[/tex]
[tex]x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};[/tex]
[tex]x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005[/tex]
In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.
[tex](-714.005)^2+700(-714.005)-10000=-0.360[/tex]
Furthermore, we must round to the nearest whole number, as you cannot make part of an item.
Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:
[tex](14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725[/tex]
Line segments AB and CD are
congruent. Their coordinates
are A(-11, -3), B(-2,5), C(7, 1)
and D(x, 9). Find the value of x.
Answer:
x = 16 or -2
Step-by-step explanation:
If both lines are congruent, their magnitudes are equal.
To find the magnitude of a line, the equation to use is;
D = √(x2-x1)^2 + (y2-y1)^2
So for AB, we have
D = √(-2 + 11)^2 + (5 + 3)^2
D = √81 + 64 = √145
For the second line
The distance would be;
D = √x-7)^2 + (9-1)^2
D = √(x-7)^2 + 8^2
Equate both magnitude
√145 = √(x-7)^2 + 64)
Simply remove the square roots on both sides
145 = 64 + (x - 7)^2
145 -64 = (x -7)^2
81 = (x-7)^2
Thaw the square root of both sides
x - 7 = 9
or x -7 = -9
x = 9 + 7 or x = -9 + 7
x = 16 or -2
What is the value of x in the triangle?
30°
х
8
60°
O A
4
OB. 873
O
OC. 8v3
OD. 6
Answer:
8v3
Step-by-step explanation:
phythagorean theorm
The measure of x from the triangle is x = 4
Define the Triangle.A planar figure or polygon having three sides and three angles is called a triangle.
The internal angles of a triangle, which has three vertices, add up to 180 degrees.
Assume the triangle is ABC, with A + B + C equaling 180 degrees.
Triangle area equals (1/2) × Length x Base.
About a right triangle
According to the Pythagoras Theorem, If a2 + b2 = c2, then the hypotenuse2 = base 2 + height 2, making it a right triangle.
If a2 + b2 c2, the triangle is an acute triangle.
If a2 + b2 > c2, the triangle is sharp.
Given the data,
Let's use ABC to depict the triangle.
Now, the triangle's sides are measured in units of AB and y.
x units = BC
Moreover, AC = 8 units.
The trigonometric relationships show that sin = opposite / hypotenuse.
Hence, the definition of sin 30° is x / 8
With simplification, we have (1/2) = x / 8
8 is multiplied twice, giving us x = 8/2 x = 4 units.
Hence , the sides of the triangle are solved
Click here to read more about triangles.
https://brainly.com/question/16739377
#SPJ7
What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Answer:
The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Slope of a line is expressed according to the formula;
Slope m = Δy/Δx
Slope = y2-y1/x2-x1
Given the coordinates (–7, 4) and (2, –3), from the coordinates;
x1 = -7, y1 = 4, x2 = 3, y2 = -3
Substitute into the formula;
Slope = -3-4/3-(-7)
Slope = -7/3+7
Slope = -7/10
Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values
By what the question asks, I assume that this refers to getting the slope in a linear equation.
The correct option is:
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
A general linear equation is given by:
y = a*x + b
where a is the slope and b is the y-intercept.
We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Notice that the formula is the change in y-values with respect to the x-values,
So we can conclude that the correct option is:
"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."
If you want to learn more, you can read:
https://brainly.com/question/11897796
what’s -4-3+x-3x simplified?
-4 - 3 + x - 3x
-7 + x - 3x
-7 - 2x
advice: just combine like terms
Answer:
-7 -2x
Step-by-step explanation:
-4-3+x-3x
Combine like terms
-4-3 +x-3x
-7 -2x
The sum of a number and fourteen is less than or equal to three times the number.
Answer:
x=7
Step-by-step explanation:
x+14=3x
shift x to the other side
14=3x-x
14=2x
2x=14
x=14/2
x=7
Checking:
x+14=3x
7+14=3(7)
21=21
The sum of a number and fourteen is less than or equal to three times the number x + 14 = 3x, x = 7.
Given Information:
The sum of a number and fourteen is less than or equal to three times the number.
Let' consider the number is x, then w get this equation,
x + 14 = 3x
shift x to the other side
14 = 3x - x
14 = 2x
2x = 14
Divide 2 on both side,
x = 14/2
x = 7
For checking this value,
x + 14 = 3x
7 + 14 = 3(7)
21 = 21
Learn more about equation here;
https://brainly.com/question/29120682
#SPJ6
if m<4=105 what is m<5
Answer:
105. Alternate Interior Angles are Congruent. <3
Step-by-step explanation:
Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.
What is meant by Interior angles?In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.
inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.
Given ,
m<4=105
m<5=105
Therefore alternate interior angles is congruent to<3
To learn more about interior angle refer to:
https://brainly.com/question/24966296
#SPJ2
7d+3/4=6 prove that d=3
7d+3/4(4)=6(4)
7d+3=24
7d=24-3
7d/7 =21/7
d=3
what is the slope of the line that passes through the points (3,5) and (1-5)
Answer:
the slope is 5
Step-by-step explanation:
In one month 382 adults and 65 children stayed in a hotel. How many people stayed at the hotel altogether?
Answer:
447 people
Step-by-step explanation:
382 plus 65 is 447.
Guys, I’m giving you at least 100 points for you to answer to my last 2 weeks of my Number Sense and Numeracy: The Order of The Operations word problem homework package So guys, please listen up and pay attention to me without ignoring my last 2 weeks of my Number Sense and Numeracy: The Order of The Operations word problem homework package for no reason! :D
The question #6 is by how much is the sum of –8 and 6 more than –4?
The question #7 is how much less is the sum of –8 and –4 than the product of 4 and –2?
The question #11 is by how much is (–3 + 5)^2 more than –(–3 + 5)^2?
Please answer to my math word problem questions as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on answering 3 math word problem questions of my last 2 weeks of my Number Sense and Numeracy: The Order of The Operations word problem homework package in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answer:
ok i am here to explain :)
Step-by-step explanation:
So, for #6, all we do is -8+6, since it said sum, so we add, and we get -2. this is 2 more than -4, and to check, all we would have to do is -4+2, which equals -2.
for #7, all we have to do is -8+(-6), since again it says sum so we add. the sum of these values are -14. for the second part, because it says "product" this means we multiply! and when we multiply -2 by 4, we get -8. this would lead us to believe that the sum is 4 less than. we can check it by subtracting positive 4 from the negative 8, or -8-4, which would give us -12.
for #11, all i really did was plug it into a calculator, and for the first one, i got 4, and for the second one i got -4. this would give us a difference of 8, and to check all we would have to do is add the 8 to the negative 4, or -4+8=4.
Hope this helps, please mark as brainlest.
Answer:
6: -2
7: 14
11: -4
Step-by-step explanation:
6:
-8 + 6 = -2
-2 is bigger than -4 because it is closer to 0. If it was regular numbers, like 2 and 4, 4 would be larger! :)
7:
-8 - 4 = -12
4 - 2 = 2
The correct answer is 14 because there are 14 numbers between 4 and -12 :)
11:
(–3 + 5)^2
2^2
4
–(–3 + 5)^2
-2^2
-4
The correct answer is 4 because it is a positive number and positive numbers are ALWAYS bigger than negative numbers :)
Have a great day!!
Please rate and mark brainliest!!
If m 2 BOC = 27 and m ZAOC = 61, what is the measure of ZAOB?
Is this angle supplementary or congruent?
Answer:
Congruent
Step-by-step explanation:
An angle is congruent if its corresponding angle is the same degrees.
It is supplementary if there are two angles that add up to 180°.
The area of the triangle below is 28.8 square centimeters. What is the length of the
base?
7.2 cm
Answer:
8
Step-by-step explanation:
The length of the base of the triangle is, 8 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The area of the triangle is 28.8 square centimeters.
The height of the triangle = 7.2 cm
We know that;
⇒ Area of triangle = 1/2 ( Height × Base)
Substitute all the values, we get;
⇒ Area of triangle = 1/2 ( Height × Base)
⇒ 28.8 = 1/2 ( 7.2 × Base)
⇒ 28.8 × 2 = 7.2 × Base
⇒ 57.6 = 7.2 × Base
⇒ Base = 57.6 / 7.2
⇒ Base = 8 cm
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
Using the slope equation m = y2−y1x2−x1 and given the points (0, 4) and (2, 1), find the slope.
Answer:
[tex] - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope
[tex] = \frac{4 - 1}{0 - 2} [/tex]
[tex] = \frac{3}{ - 2} [/tex]
[tex] = \bf{- \frac{3}{2} }[/tex]
The right rectangular prism is made up of 12 cubes. Each cube has an edge length of
12 cubic inches.
Hey there!
Option answer: [tex]1 \frac{1}{2} \: \: cubic \: inches[/tex]
According to the title,
Volume = 12 × (1/2)[tex] {}^{3} [/tex]
=> 12 × 1/8
=> [tex] \frac{12}{8} [/tex]
=> [tex] \frac{3}{2} [/tex]
=> [tex]1 \frac{1}{2} [/tex]
Answer:
d
Step-by-step explanation:
first i do my formula which is length x width x height
the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12
so the answer is d
Find the length of the missing side. If necessary, round to the nearest tenth.
29
841
58
21.5
Answer:
above is the solution to the question
Daisy keeps her stamp collection in a box that is 12 inches long, 10 inches wide, and 4 inches tall.
1. What is the volume of her box?
2. Daisy's friend Quinn keeps his stamp collection in a box that has the same volume as Daisy's box but different dimensions. What could be the dimensions of Quinn's box
Answer:
1. 480 inches^3
2. 6 inches tall, 8 inches wide, and 10 inches ong
Step-by-step explanation:
Please help! Parallel lines Pythagorean theorem
Answer:
m∠A = 150°
m∠B = 30°
m∠E = 110°
Step-by-step explanation:
Linear pair:
⇒ m∠A + 30° = 180°
⇒ m∠A = 150°
Alternate interior angles:
⇒ m∠B = 30°
Sum of interior angles of a triangle is 180°:
⇒ m∠C + 30° + 40° = 180°
⇒ m∠C = 110°
Linear pair:
⇒ m∠C + m∠D = 180°
⇒ 110° + m∠D = 180°
⇒ m∠D = 70°
Alternate interior angles:
⇒ m∠E = m∠C
⇒ m∠E = 110°
3/5 divided by 1 1/4
Answer:
[tex]\frac{12}{55}[/tex]
Step-by-step explanation:
To divide fractions, here are your steps:
1) Invert the fraction you are dividing by.
2) Multiply the numerators and denominators.
3) Simplify if necessary.
1)
[tex]\frac{3}{5}[/tex] / [tex]\frac{4}{11}[/tex]
2)
[tex]\frac{3 * 4}{5 * 11}[/tex] = [tex]\frac{12}{55}[/tex]
3)
Cannot be further simplified.
Answer:
12/55
Step-by-step explanation:
caculator
PLEASE ANSWER AND SHOW WORK
1.5 kg of rice for $9
the unit rate:????
A town grows by 350 people over 7 years
unit rate:????
PLEASE HELP URGENTLY AND ANSWER
9514 1404 393
Answer:
$6/kg50 people/yearStep-by-step explanation:
A unit rate is a ratio. When dollars are involved, we usually want dollars in the numerator. When time is involved, we usually want time in the denominator.
__
rice: $9/(1.5 kg) = (9/1.5) $/kg = $6/kg
__
growth: (350 people)/(7 years) = (350/7) people/year = 50 people/year
Can someone help me with this?
Find the product. Write your answer in factored form.
write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)
Answer:
6x-15 3(x-5) 3/2(2x-10)
Step-by-step explanation:
simplify
-1/2(-12x+30)
6x-15
factor in different ways
3(x-5)
3/2(2x-10)
can someone help me please and thank you :)
Answer:
the answer is 4328
Step-by-step explanation:
may God bless you and your family during spring break