You have 120 cups. The cups of beverage will be enough.
Will the cups be enough?In order to determine the cups of beverage I have, the first step is to convert gallons and oz to cups.
1 gallon = 16 cups
16 x 4 = 64 cups
1 fluid ounce = 0.125 cups
64 x 0.125 x 7 = 56 cups
Total cups you have = 56 + 64 = 120 cups
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Find the value of "x" from the given figure...
[tex]....................[/tex]
Answer:
x = 21 cmStep-by-step explanation:
is a rhombus formed by 4 right triangles, let's consider the small / large couple
the triangle at the top and the triangle at the bottom are rectangles
we can solve with the Pythagorean theorem.
we find the side (cathetus) of the small onec² = 10² - 8²
c² = 100 - 64
c² = 36
c = √36
c = 6 cm
we find the side (cathetus) of the largestc² = 17² - 8²
c² = 289 - 64
c² = 225
c = √225
c = 15 cm
now we add the results and we have x6 + 15 =
21cm
Answer:
21 cm
Step-by-step explanation:
Let M be the point of intersection of the diagonals AD and BC.
[tex]\implies x=\sf AD=AM+MD[/tex]
As ΔAMD and ΔBMD are right triangles, use Pythagoras Theorem to work out the lengths of AM and MD.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.[tex]\begin{aligned}\implies \sf BM^2+AM^2 & =\sf AB^2\\\sf 8^2+AM^2 & = \sf 10^2\\\sf 64+AM^2 & = \sf 100\\\sf AM^2 & = \sf 100-64\\\sf AM^2 & = \sf 36\\\sf AM & = \sf \sqrt{36}\\\sf AM & = \sf 6\:\: cm\end{aligned}[/tex]
[tex]\begin{aligned}\implies \sf BM^2+MD^2 & =\sf BD^2\\\sf 8^2+MD^2 & = \sf 17^2\\\sf 64+MD^2 & = \sf 289\\\sf MD^2 & = \sf 289-64\\\sf MD^2 & = \sf 225\\\sf MD& = \sf \sqrt{225}\\\sf MD& = \sf 15\:\: cm\end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies x & =\sf AM+MD\\x & = \sf 6+15\\x & = \sf 21\:\:cm\end{aligned}[/tex]
So the value of [tex]x[/tex] from the given figure is 21 cm.
maths midpoint theorem
please help
Step-by-step explanation:
2.
to complete the description :
PQ || MN || BC
the midpoint theorem :
the line segment in a triangle connecting the midpoints of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.
therefore,
MN connects the midpoints of AC and AB, and is therefore half of BC.
PQ connects the midpoints of AN and AM, and is therefore half of MN. and that is half of half of BC = one quarter of BC.
MN = 1/2 × BC
PQ = 1/2 × MN = 1/2 × 1/2 × BC = 1/4 × BC =
= 1/4 × 16 = 4 mm
3.
UV = 10 cm connects the midpoints of PT and PS, and is therefore 1/2 of TS.
in other words, TS = 2×UV = 2×10 = 20 cm.
now we go the other direction from Q :
TS connects to midpoints of QU and QR. therefore,
UR = 2×TS = 2×20 = 40 cm.
VR = UR - UV = 40 - 10 = 30 cm
PLEASE ANSWER AND will report if your answer is wrong/incorrect
What is the answer 8÷2(2+2)
Answer:
16
Step-by-step explanation:
BODMAS
Brackets first, 2+2 = 4
8÷2 = 4
4 x 4 = 16
What is the area of a triangle ABC with AB=AC=5cm and BC=6cm?
Answer: 12 cm^2
Step-by-step explanation:
BC ==> Base of triangle
Divide the triangle in two parts:
BC/2=BC'
6/2=BC'
BC'=3
Distance formula: a^2+b^2=c^2
c^2-a^2=b^2
5^2-3^2=b^2
25-9=b^2
b^2=16
b=4 ==> height of triangle
Area of triangle=A. b=base. h=height
A=1/2 * b * h=
A=1/2 * 6 * 4
A=1/2 * 24
A=12 cm^2
How many 134 minutes is equal to a hour
Solve 4(0.5n-6)=n-0.25(12+8n)
Please give an accurate answer!
At Elmo's, an old-fashioned barber shop in Melbourne, Florida, 66% of all customers get a haircut, 49% get a shave, and 40% get both.
a) What is the probability that a randomly selected person doesn't get a shave and doesn't get a haircut? Your answer should have at least 3 decimal places.
b) What is the probability that a randomly selected person gets a shave, given that they get a haircut? Your answer should have at least 3 decimal places.
The probability that a randomly selected person doesn't get a shave and doesn't get a haircut is 0.250.
The probability that a randomly selected person gets a shave, given that they get a haircut is 0.606.
What is the probability?The probability that a person selected at random would not get a shave or a haircut can be found as:
= 1 - (Prob. of haircut + Prob. of shave - Prob. of both)
= 1 - (0.66 + 0.49 - .40)
= 0.250
The probability that a random person would get a shave given they have gotten a haircut is:
= Probability of both / Probability of getting a haircut
= 0.40 / 0.66
= 0.606
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Write 2211 three in expanded form and then convert it to base ten.
The final answer for 2211₃ to convert into base 10 is 76₁₀.
Given 2211₃
Expand the number as below
2211₃ = 2 * 3³ + 2 * 3² + 1 * 3¹ + 1 * 3⁰
To convert base 3 to base 10 we need to expand form numbers as
2211₃ = 2 * 3³ + 2 * 3² + 1 * 3¹ + 1 * 3⁰
= 2 * 27 + 2 * 9 + 1 * 3 + 1 * 1
= 54 + 18 + 9 + 1
= 76₁₀
Therefore, the Correct answer for 2211₃ to convert into base 10 is 76₁₀
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the mean weight of a group of 15 boys is 65 kg . one boy joins the group and his weight is 45 kg . what is the average weight of all the boys
I need the answer within 2 to 3 days!
Answer:
The new average is
63.75kg
Step-by-step explanation:
We have 15 boys with avg. weight of 65kg. That means that the sum of their weights is:
15*65kg = 975kg
We add a boy weighing 45kg. The new sum is
975kg + 45kg = 1020kg
To get the new average, we need to divide by the number of boys. It's no longer 15, because we've added one. It's now 16
avg_weight = 1020kg / 16 = 63.75kg
simplify 14+(-8)+6+4+(-11)
Answer:
5
Step-by-step explanation:
PEMDAS
14-8+6+4-11
14-8=6
6+6=12
12+4=16
16-11=5
Haaaaaaallllllllllllllllllppppppppp
Name 3-Dimensional Rectangular Items that are something you can hold. And then name those items' Length, Width, Height, Area, or Volume.
Cube: Rubrics Cube or Dice
Rectangular Prism: Notebook or Gift box
Sphere: Globe or Beach ball
Cone: Carrot or Cone
Cylinder: Barrel or Bucket
Volume Formulas:
Cube = a^3
Rectangular Prism = L x B x H
Sphere = 4/3 pi(r^2)
Cone = 1/3 pi(r^2)h
Cylinder = pi(r^2)h
(pi = 3.14)
Hope this helps.
The area of a trapezoid is 145cm2. The height is 10cm and the length of one of the parallel sides is 10cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places
Answer:
19 cm.
Step-by-step explanation:
Area = h(a + b)/2
where h = height, and a and b are parallel sides,
145 = 10(10 + b)/2
290 = 100 + 10b
10b = 190
b = 19 cm.
what is the answer for this question using long divison with decimal remainders
4÷717
Answer:
179 R1
Step-by-step explanation:
PLEASE HELPE ME FAST
Answer:
S would now only be 3 units from R instead of 6 units from R. Move S three units to the left.
Step-by-step explanation:
Karen spent $7.80 on a pair of stockings. She spent 3/8
on a skirt and a blouse; after which, half of her money was left. The skirt cost 8 times as much as the blouse. How much did she spend on the skirt?
Step-by-step explanation:
First 7.50 - 3/8 = 7.125
Next 7.125 times 8
Is 57
The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, S, be measured in feet per second. Write an equation to represent the relationship between the three quantities (speed, distance, and time).
Answer:
Step-by-step explanation:
s = d/t = 100/2.5
A shipment of 480 bags of coffee beans contains an equal number of 0.75-pound bags,
1.5-pound bags, and 2-pound bags. What is the total weight of the shipment?
A 520 pounds
B 608 pounds
C 680 pounds
D 720 pounds
Answer:680
Step-by-step explanation:
160x.75=120
160x1.5=240
160x2=320
Translate this sentence into an equation.
54 is the sum of 12 and Rhonda's height.
Use the variable r to represent Rhonda's height.
Answer: 12+r=54
Step-by-step explanation:
r=Rhonda's height
12+r=54
Answer:
12+ r = 54
Step-by-step explanation:
If 54 is the sum, we put it at the end of the equations. Sum means 'the answer to an addition equation' so it must be add ( + )
If we use r to represent Rhonda's height then we have the equation of:
12+ r = 54
NOT PART OF THE QUESTION BUT IF NEEDED:
To figure out Rhonda's height, do 54 - 12= r
Which variable expression represents the following word phrases?
13 more than two times a number.
13-2n
2n-13
13>2n
13+2n
Answer:
13+2n
Step-by-step explanation:
'two times a number' means 2n
'13 more' means we add 13 to this, so 13+2n is the answer.
Mary is going for a 3.5 km walk.
So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill.
What fraction of the walk does she have left?
Mary has left with a 1 kilometer i.e. [tex]\frac{2}{7}[/tex] of the journey is incomplete
Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the fraction of the walk she has left
Total journey distance = 3.5 kilometers
Distance walked by mary on the bridge=0.6 kilometers
Distance walked by mary through the park=1.55 kilometers
Distance walked by mary up the hill=0.35 kilometers
Total distance traveled by mary=(0.6+1.55+0.35)kilometers
Total distance traveled by mary=2.5 kilometers
The distance left=3.5 kilometers-2.5 kilometers
The distance left=1 kilometer
1 kilometer is [tex]\frac{2}{7}[/tex] of the journey by assuming 3.5 kilometer will complete the jouney
Therefore, Mary has left with a 1 kilometer i.e. [tex]\frac{2}{7}[/tex] of the journey is incomplete
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Suppose that $3000 is placed in an account that pays 9% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answer: (a) 3270 (b) 6270
Step-by-step explanation:
Formula for compound interest: P (1 + r/100 ) ^n,
where P = principal, r = interest rate, n = number of years
------------------------------------------------------------------------------------------------------------
In question (a),
P = $3000
r = 9%
n = 1
3000 ( 1 + 9/100) ^1 = $3270
------------------------------------------------------------------------------------------------------------
In question (b),
P = $3000
r = 9%
n = 2
3000 ( 1 + 9/100) ^2 = $6270
Complete the equation and tell which property you used 21× =9×21
After cross multiplying the given equation the value of x turns out to be 9.
What is cross multiplication?
In mathematics, specifically in abecedarian computation and abecedarian algebra, given an equation between two fragments or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.In cross-multiplication, we multiply the numerator of the first bit with the denominator of the alternate bit and the numerator of the alternate bit with the denominator of the first bit. Cross-multiplication can be used to add or abate unlike fragments snappily.Cross-multiplication is also appertained to as a butterfly system.21 × X =9×21
X = 9
After cross multiplying the given equation the value of x turns out to be 9.
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find the distance between the two points in simplest radical form.
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
it takes 50 people 256 days to build a road how long will it take 80 people
The answer is that 80 people will build the same road in 160 days.
Given that 50 people take 256 days to build a road.
And we need to find out how many days will 80 people take to build the same road.
Disclaimer: Assuming that the work done by all the people are same.
If the number of people increases, the time taken to build the road decreases in the same proportion. Clearly, the number of people varies inversely to the number of days.
Let x denote the number of days required to build the road for 80 people.
Then the ratio, 80/50 = 256/x
⇒ x = (256×50)/80 = 160
Therefore, 80 people will build the same road in 160 days.
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7+ [1 + (3×6+5)] ÷ 2
Answer: 25
Step-by-step explanation:
Multiplication and Division always come before Addition and Subtraction unless they are in brackets, which has top priority. In this case, the order would be ( ) [ ] ÷ +
( ) :
3 x 6 = 30 + 5 = 35
[ ] :
35 + 1 = 36
÷ :
36 ÷ 2 = 18
+ :
7 + 18 = 25
Answer: 25
Write the expression 3x + 4 using words
Answer:
three times "x" plus four
Step-by-step explanation:
three times "x" plus four
Hope this helps!
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.
=============================================================
Explanation:
Let's say the top and bottom sides are 10 inches and (x+2) inches.
If this was a parallelogram, then those opposite sides must be parallel and the same length. So x+2 = 10 which leads to x = 8 after subtracting 2 from both sides.
Now let's consider the other pair of opposite sides (x+5) and (2x-3), which would be the left and right sides. Set them equal to one another and solve for x.
x+5 = 2x-3
x-2x = -3-5
-x = -8
x = 8
We arrive at the same x value, which confirms we do have a parallelogram.
Use this x value to find the unknown sides
x+2 = 8+2 = 10
x+5 = 8+5 = 13
2x-3 = 2(8)-3 = 13
This parallelogram has sides of 10, 13, 10, 13
It might be helpful to think of a 10 by 13 rectangle. However, the parallelogram may or may not be a rectangle.
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-5y=-5
Answer: y = 6/5 x + 1
The slope intercept form of a linear equation is:
y = mx + b
where m is the slope and b is the y-intercept value.
According to the question we need the solve this equation for y:
6x – 5y = -5
This can be written as:
-6x + 5y = 5
-6x + 6x + 5y = +6x + 5
0 + 5y = 6x + 5
5y = 6x + 5
5y / 5 = (6x + 5) / 5
y = 6/5 x + 1
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What is the slope of the line that passes through the points (2, 8) and (-3, 14)?
Answer:
-6/5
Step-by-step explanation:
(14-8)÷(-3-2) = -6/5
