Answer:
8.25 batches.
(Or, if rounding to the lowest amount of batches, 8 batches)
Step-by-step explanation:
We have in total 5 1/2 cups of sugar.
And the recipe calls for 2/3 cups of sugar.
So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:
[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]
Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.
Therefore:
[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]
To divide fractions, we keep, change, and flip. Therefore:
[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]
Multiply straight across:
[tex]=\frac{33}{4}=8.25[/tex]
So, we can make 8.25 batches.
Or, we can make 8 full batches.
Patrick is 5.432 feet tall, Ivan is 5.503 feet tall, Laura is 5.413 feet tall, and Daisy is 5.510 feet tall. Which of the following lists them in order from tallest to shortest?
Answer:
Daisy, Ivan, Patrick, Laura
Step-by-step explanation:
That's just the numbers biggest to smallest.
Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups
Answer:
1560780 selections
Step-by-step explanation:
Given
Cars = 29
Selection = 7
Required
Possible number of selections
The interpretation of the question is that, in how many ways can 7 cars be selected from 29.
This is done using combination formula as follows:.
[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]
Where
[tex]n = 29[/tex]
[tex]r = 7[/tex]
So, the formula becomes:
[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]
[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]
[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]
[tex]^{29}C_7 = 1560780[/tex]
Hence, the number of ways is 1560780
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
Answer:
52 ft
Step-by-step explanation:
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169 [tex]ft^2[/tex]
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
[tex]Area = Side \times Side[/tex]
Let the side be equal to [tex]a[/tex] ft.
Putting the given values in the formula:
[tex]169 = a^2\\\Rightarrow a =\sqrt{169}\\\Rightarrow \bold{a = 13\ ft}[/tex]
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 [tex]\times[/tex] Side
Perimeter = [tex]4\times 13 = \bold{52\ ft}[/tex]
I have to select which pair of triangles can demonstrate congruence. Any help?
Answer: Choice D is correct
You use the HL (hypotenuse leg) theorem here.
The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.
The other choices don't have enough information to be able to say if the triangles are congruent or not.
The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.
The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.
Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
Learn more about the congruence in the triangles here:
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Find each value
1. ∛x³
2. 6³
3. 10³
Answer:
1.no answer x
Step-by-step explanation:
2. 216
3. 1000
Given: BC = DA, LCBD = ZADB
Prove: ABCD = ADAB
Statements
Reasons
I need help:(
Guys I need y’all help ! ASAP . Pleaseeeee !!!!!
The actual distance between two cities is 2250 miles. The distance between the two cities on a map is 15 inches. What is the scale of the map?
Answer: It should be 1 in. : 150 mi.
Answer:150
Step-by-step explanation:
a year later
Find the perimeter for the irregular polygons below
Answer:
1. 23
2. 17
Step-by-step explanation:
perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.
Use the function Y=2x^2+3x+7 to answer the following questions
Answer:
What are the questions?
Which one? 1, 2 , 3 , 4 , or 5 ? Select all
Answer:
1, 2, and 4
Step-by-step explanation:
jakakla j. sjsjsj
Answer:
5 ok how much is the same as the rest of volunteers and you can just leave
Help !! Will mark brainlest !!
A flowering plant stands 6.5 inches tall when its placed under a growing light. Its growth is 0.25 inches per day. Which of the following equations represents this situation?
A- y=0.25x+6.5
B- y=6.5x+0.25
C- y= -0.25x+6.5
D- y= - 6.5x+0.25
Answer: the answer would be a-y=0.25x+6.5
2 (43 – 1) +6
Most equivalent
Answer:
90
Step-by-step explanation:
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Please help!!!!
(Show work if possible)
The smoke alarms in an office building need new batteries. Larry has 1,311 batteries. Each office in the building needs 6 batteries. How many offices will get new batteries? How many batteries will be left?
A.
320 offices, 3 batteries left
B.
218 offices, 3 batteries left
C.
221 offices, 1 battery left
D.
218 offices, 5 batteries left
Answer:
C....
Step-by-step explanation:
which of these relations are functions?
Answer:
the fourth box (parabola)
Step-by-step explanation:
yeah
Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?
Answer:
she makes $22.80 a day
Step-by-step explanation:
since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.
hope this helped!
helpppppp please I will give brainliest to anyone who can solve this and explain please only explain if you know please
Answer:
The second answer choice is the best one
Step-by-step explanation:
y=7/2x-3
write the equation of the function if its rate of change is -14 and its intial value is 14
Answer:
[tex]f(x) = -14x + 14[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = 14[/tex]
[tex]Rate = -14[/tex]
Required:
Write as a function
Let x be the quantity that changes:
A function is of the form:
[tex]f(x) = mx + b[/tex]
Where
m = slope or rate
b = y intercept or initial value.
So, we can say that:
[tex]m = -14[/tex]
[tex]b = 14[/tex]
Substitute values for b and m in [tex]f(x) = mx + b[/tex]
[tex]f(x) = -14x + 14[/tex]
JUAN VIAJO DE SALAMANCA A CELAYA Y RECORRIO 25 CM. ¿CUÁNTOS METROS
RECORRIO?
Answer:
0.025
Step-by-step explanation:
Answer:
0.25 metros.
Step-by-step explanation:
cada centimetro es 0.01 metro.
Use the order of operations to simplify 4 + 15 = 5
A 24 4/5
B 19 2/5
C 7 2/5
D 8
Answer:
C
Step-by-step explanation:
[tex]\frac{m}{y}=gh\\solve for m[/tex]
PLEASE HELPP ILL MARK BRAINLIEST According to a personal study, the equation ý= 8.6067x +116.6567 models the average number of calories burned by
a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute
jog.
According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?
about 258 calories
o about 375 calories
about 406 calories
about 452 calories
Answer:
if x: 10 y: 202 then...
x: 30 y: 374.858 burned calories.
therefore, 375 calories.
About 375 calories burned for an individual who spent 30 minutes weight lifting
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given,
ý= 8.6067x +116.6567 the average number of calories burned by
a 160 lb individual.
In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting
To find this we just need to put x value as 30
ý= 8.6067(30)+116.6567
y=258.201+116.6567
y=374.85
y=375
Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting
To learn more on slope intercept form click:
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The perimeter of a triangle is 40 inches. The middle length side is twice as long as the short
side. The longest side is 10 inches longer than the sum of the other two sides. Set up an
equation to model this situation. Then find the length of each side
Answer:
67
Step-by-step explanation:
Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train
Answer:
18
Reason:
the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.
1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?
O A. 1.75
O B.0.762
C. 84
D. 840
Step-by-step explanation:
Given that,
Distance, d = 10.5 km = 10500 m
Time, t = 8 minutes = 480 s
We need to find the unit rate of a train motion. The distance divided by time is equal to the speed of the object.
[tex]\text{Rate}=\dfrac{\text{Distance}}{\text{time}}\\\\=\dfrac{10500\ m}{480\ s}\\\\=21.87\ m/s[/tex]
So, the unit rate is 21.87 m/s.
SECTION 2-4 PRACTICE
For problems 3–7 use the Social Security tax rate of 6.2 percent and Medicare
tax rate of 1.45 percent to determine each tax and the total deduction.
Gross Soc. Sec. Tax Medicare Tax
Total
Pay
Withheld
Withheld
Deduction
3.
a.
C!
b.
b.
а.
C.
4.
5.
$ 125.00
432.00
241.00
1,562.00
2,521.00
a.
b.
C.
a.
b.
c.
6.
7.
b.
C.
a.
US 4
Answer:
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56
b. 432.00 26.78 6.26 33.04
c. 241.00 14.94 3.49 18.43
d. 1,562.00 96.84 22.65 119.49
e. 2,521.00 156.30 36.55 192.85
Step-by-step explanation:
a) Data and Calculations:
Social Security tax rate = 6.2%
Medicare tax rate = 1.45%
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total Pay
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56 $115.44
b. 432.00 26.78 6.26 33.04 398.96
c. 241.00 14.94 3.49 18.43 222.57
d. 1,562.00 96.84 22.65 119.49 1,442.51
e. 2,521.00 156.30 36.55 192.85 2,328.15
Total $4,881.00 302.61 70.76 373.37 4,507.63
( x + 9 ) - ( x -2 )=
Answer:
x = -7/2
Step-by-step explanation:
( x + 9 ) - ( x -2 )=
2x +7 =
2x = -7
x = -7/2
Alan bought 5 feet of fabric. How much is this in yards
Answer:
15 yards.
Step-by-step explanation:
This is because there are 3 feet in one yard, and 5x3= 15.
Answer:
1.66667
Step-by-step explanation:
Which is a valid proportion?
Answer:
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.