The number of dollars Laura should pay at the dinner party is $84.
Given that, the last time Laura hosted a fancy dinner party for her friends, she spent $108 to feed 9 people. This time, there will be only 7 people at the dinner party.
What is proportion?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the number of dollars paid by Laura for 7 people be x.
Now, 9:108::7:x
⇒9x=108×7
⇒x=12×7
⇒x=84
Therefore, the number of dollars Laura should pay at the dinner party is $84.
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a scuba diver is swimming at the depth -46 feet and then swims 0.5 foot toward the surface every 3 seconds. what is the location of the scuba diver relative to the surface after 15 seconds
Answer:
-43.5
Step-by-step explanation:
After 15 second he would have swam to a level of -43.5.
Janet rents a booth at the farmers market
that costs $150 a day. She sells jars of fresh
honey from her family farm for $8 each. At
the end of the day, she splits all the
money she brings home with her mom
who takes care of the bees. If j is the
number of jars of honey sold, write a
function f(j) representing how much
money Janet makes each day.
Do the ratios 2 1 and 14 9 form a proportion?
No the given two ratios not form a proportion.
Any relationship that has a constant ratio is said to be proportional. For instance, the ratio of proportionality is the average number of apples per tree, and the number of apples in a crop is proportional to the number of trees in the orchard.
Two equivalent fractions are typically used to represent a proportion. For instance: The ratios on either side of the equal sign can be seen in the equation. Because inches and feet are consistent units, each ratio compares the same units, and as a result, all ratios are equivalent. Two quantities are compared to form a ratio. An equality of two ratios is a proportion.
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The average amount of money spent by students in the cafeteria last week was $2.75. The actual amount spent varied by no more than $0.50. Write and solve an absolute value inequality to represent the range of possible amounts.
The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the average amount of money spent by students.
The absolute value inequality is given by the equation:
|x - 2.75| = 0.5
Hence:
x - 2.75 = 0.5 or -(x - 2.75) = 0.5
x = 3.25 or x = 2.25
The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25
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Given that lines A and B are parallel, if angle 1 measures 48 degrees and angle 2 measures 51 degrees, what is the measure of angle 3?
Answer:
81°
Step-by-step explanation:
m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.
Amy, bill and cara each played a game. amy's score was ten times bill's score. cara's score was half of amy's score. write down the ration of amy's score to bill's score to cara's score. give your answer in its simplest form
Answer:
2:1:1
Step-by-step explanation:
A:B:C
10:1:5
÷5. ÷5
=2:1:1
simplify 1/2 of √81×√16
Answer:
18
firstly you solve √81×√16
that is the square root of 81 × the square root of 16
so that equal to 1/2 × 9×4
another name for of is multiplication
1/2× 36
you divide 2 in 36 which is 18 and the 1 you multiple 1 ×18
= 18
Can A contains 2,5 litres of juice and Can B contains 3 litres 250 millilitres of juice. If the juice from both can is mixed then what will be the total volume of juice? Give the answer in millilitres.
The total volume of the juice in milliliters is 5750ml.
Here, we know that, using unit conversion,
1 liter = 1000 milliliters
Juice contained in Can A is 2.5 liters.
converting it into milliliters,
2 liters = 2 x 1000ml
2 liters = 2000ml
the juice volume becomes 2500ml in Can A.
Juice contained in Can B is 3 liters and 250 milliliters
converting it into milliliters,
3 liters and 250ml = 3 x 1000ml + 250ml
3 liters and 250ml = 3250ml.
the juice volume becomes 3250ml in Can B.
When both Cans are mixed,
Total volume of the juice = volume of juice of can A + volume juice of can B
Total volume = 2500ml + 3250ml
Total volume = 5750ml.
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The annual interest on a $9000 investment exceeds the interest earned on a $6000 investment by $135. The $9000 is invested at a 0.5% higher rate of interest than the $6000. What is the interest rate of each investment?
The interest rate of $9000 and $6000 investment are 3.5% and 3% respectively.
let's assume the interest rates X and Y on $9,000 and $6,000 investments.
The $9000 is invested at an interest rate that is 0.5% higher than the $6000.
Therefore,
9000(X) = 6000(Y) + 135
X = Y + 0.005
In canonical form:
9000X - 6000Y = 135
X - Y = 0.005
or X = 0.005 + Y
Then,
9000( 0.005 + Y) - 6000Y = 135
Then Y = 0.3 , therefore X = 0.3
So, X = 3.5% (the rate on $9,000 investment) and;
Y = 3% (the rate on $6,000 investment).
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If two of the angles in a scalene triangle are 54 87 degrees, what is the other angle
If two of the angles in a scalene triangle are 54° and 87°, the value of the other angle is 39°.
What is a scalene triangle?A scalene triangle is a triangle that has three unequal sides.
We have,
Two angles of a scalene triangle are 54° and 87°
We know that,
A scalene triangle has all its three angles different in measures and obeys the angle sum property.
i.e Sum of the three interior angles = 180 degrees.
Let M is the other angle.
M + 54° + 87° = 180°
M = 180 - 141
M = 39°
Thus the value of the other angle is 39°.
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Convert 8.67 into fraction
8.67 as a mixed fraction is
8 and 67/100
you could also say 867/100
Using the image below, find the x value for the point that divides the line segment AB into a ratio of 2:3.
A. -1
B. -0.4
C. 0
D. 0.5
Answer:
The value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4
Step-by-step explanation:
It is given that we need to find the x value for the point that divides the line segment AB into a ratio of 2:3 from the option given in the question.
Now, let us find the difference between the values of x of point A and of point B;
=> 5 - (-4)
=> 5 + 4
=> 9
Now, let us divide 9 by 5 so that we get the ratio 2:3;
=> 9/5
=> 1.8
Further, for getting the segments as 2 + 3;
=> 1.8 × 2
=> 3.6
and
=> -4 + 3.6
=> -0.4
Therefore, the value of x for the point that divides the line segment AB into a ratio of 2:3 is (B) -0.4
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Find the missing side length, m.
Answer:
I believe the answer is 6.6
Step-by-step explanation:
If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6
How to multiply 2*3*5*7 (I need explanation)
Answer:
Look the answer is simple...just multiply one by one
Step-by-step explanation:
For example;
2*3*5*7
2x3=6
6x5=30
30x7=210
I need help on this question 4 4/5 - 1 9/10 also show the work.
Answer:
29/10 or 2 9/10
4 4/5 - 1 9/10
make them into improper fractions
4 4/5 = 24/5
1 9/10 = 19/10
24/5 - 19/10 we need to get common denominators
24/5 × 2 = 48/10
48/10-19/10 = 29/10 = 2 9/10
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
Hi
Step-by-step explanation:
Diego is actually and totally wrong
because √4 divide 2= 2 divide 2 =1
and 4/2=2
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Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: points are at 1 and 4. Everything between the points is shaded. Graph B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Graph C: Open circles are at 1 and 4. Everything between the points is shaded. Graph D: Open circles are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Which number line represents the solution for the inequality |2x – 5| Greater-than-or-equal-to 3? graph A graph B graph C graph D
The graph of the inequality |2x - 5| ≥ 3 represents 4 ≤ x ≤ 1 which is
B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.
What is inequality?Inequality is a comparison between two nonequal quantities and they are of four types.
We know |2x - 5| ≥ 3 is,
2x - 5 ≥ 3.
2x ≥ 3 + 5.
2x ≥ 8.
x ≥ 4.
OR
-(2x - 5) ≥ 3.
-2x + 5 ≥ 3.
-2x ≥ - 2.
-x ≥ 1.
x ≤ 1. ( Think of moving the terms on other sides to make x positive)
So, the graph of the inequality |2x - 5| ≥ 3 is 4 ≤ x≤ 1.
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= 1
2
3
= 4
= 5
4
A line passes through point (-9, -6) and has a slope of 4/3
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
Answer:
4x-3y=-18.
Step-by-step explanation:
1) common form of slope-interception form: y=slope*x+interception;
2) if according to the condition slope=4/3, thenthe slope-interception form is y=4/3*x+interception;
3) it is possible to calculate the interception if to substitute given coordinates (-9;-6) into the slope-interception form:
-6=4/3*(-9)+interception; ⇒ interception=6, then
4) the slope-interception form is y=4/3*x+6;
5) finally, 3y=4x+18, ⇔ 4x-3y= -18 (A=4, B=-3, C=-18).
Cuántos kilogramos pesan 11 metros de alambre, si 154 metros de alambre del mismo grueso pesan 7 kilogramos?
Answer:
0,5 Kg
Step-by-step explanation:
Whats the unit value of the 6 in 261
The unit value of 6 in the number 261 is: tens.
What is a place value?A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.In this scenario, the unit value of each digit in the number 261 are as follows:
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Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
4y + 2 =-1/3
(8-12y)
[tex]\displaystyle\\Answer: y=-\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\4y+2=-\frac{1}{3}\\\\[/tex]
Multiply both parts of the equation by 3:
[tex]\displaystyle\\(3)(4y+2)=(-\frac{1}{3} )(3)\\12y+6=-1\\12y+6-6=-1-6\\12y=-7[/tex]
Divide both parts of the equation by 12:
[tex]\displaystyle\\y=-\frac{7}{12}[/tex]
The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the moon is approximately 2 x 10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A:18
b:45
C:222
D:450
its 8th grade math
Answer:
D
Step-by-step explanation:
[tex]\frac{9x10^{7} }{2x10^{5} }[/tex] = 9/2 is 4.5 The quotient property principle tells us that when the bases are the same and we are dividing powers, we subtract the exponents. 7-5 = 2
4.5 x [tex]10^{2}[/tex] In standard notation, this is 450
Write the equation of the line in slope-intercept form for each question below.
7. slope = 3, y-intercept = 2
holow
Answer:
General linear equation;
[tex]{ \tt{y = mx + c}} \\ [/tex]
Where m is the gradientWhere c is the y-intercept[tex]{ \boxed{ \tt{y = 3x + 2}}}[/tex]
A sky diver descended 132 meters in 12 seconds. How far did he fall in one second? how many meters?
Answer:
he fell 11 meters
Step-by-step explanation:
132 divided by 12 is 11.
Only answer if you are 100000% sure it's correct, if it's not correct I'm reporting <3
Answer: 0.000435
Step-by-step explanation:
1. Convert to decimal notation
More Icon
The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s):
4.35 -> 0.000435
Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.
Answer:
0.000435
Step-by-step explanation:
10^-4 = 0.0001
0.0001 × 4.35 = 0.000435
Jaydan uses 3/4 water and 1/5 lime juice and reese uses 2/3 water and 1/6 lime juice which one is weaker
Answer:
1/6 lime juice
Step-by-step explanation:
1/6 is less than 1/5,3/4,and 2/3
help me help me pleasee
Answer:
g = -11
Step-by-step explanation:
The question is giving you the answer of (x)
1) Plug in -2, into x so it will look like this:
g(-2) = 4x^3 -x^2 +2x -2
2) Plug the -2 into the x, it will look like this:
g(-2) = -4(-2)^3 - (-2)^2 +2(-2) -2
3) Solve!
g(-2) = 8^3 - 4 - 4 -2
g(-2) = 32 - 4 - 4 - 2
g(-2) = 32
-2g/-2 = 22/-2
g = -11
I hope this helped! If you need more help with understanding, let me know! :)
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
Fill in the blanks to declare sum equal to a + b (int _ = a __b
Area of a Field A rectangular field is 364 yards in length and 433 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre
The area of the yard is 32.56 acres.
What is the area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given,
the length of the field = 364 yards
width of the field = 433 yard
area of the field = length × breadth
area = 157612 sq. yards
1 sq. yard = 0.000207 acres
area in acres = 32.56 acres
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what is the greatest factors of 28,42,63
The greatest common factor of 28, 42, 63 is 7
Depending on the quantity and size of the numbers in the set, there are several possible approaches to calculate the GCF.
Finding the greatest common multiple of smaller numbers can be done by simply looking at each number's factors or multiples.
We'll find the factors for 28, 42 and 63 which are as follows :
Factors for 28: 1, 2, 4, 7, 14, and 28
Factors for 42: 1, 2, 3, 6, 7, 14, 21, and 42
Factors for 63: 1, 3, 7, 9, 21, and 63
As to find the GCF, we need to check the greatest factor which is common in all the three numbers individual factors. So, we find that 7 is the common factor in all three.
Hence, the greatest common factor of 28, 42, 63 is 7
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