28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.
Answer:
[tex]\frac{5}{6}[/tex] cups
Step-by-step explanation:
Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.
1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt
[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt
at a certain time of day, the angle of elevation of the sun is 70 degrees. to the nearest foot, find the height of a tree whose shadow is 32 feet long
See attachment for math work and answer.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 39.1027 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The Base is the adjacent smaller side of the angle θ.
Tan(70°) = Height of the tree/Shadow of the tree
Tan(70°) = Height of the tree/ 32 feet
Height of the tree = 39.1027 feet
Hence, the height of the tree is 39.1027 feet.
Learn more about Tangent (Tanθ):
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Jamal discovers that the sum of Point B and Point C is zero. A number line with points A, blank, B, blank, 0, blank, C, D, blank. Which sentence is a correct statement about points B and C? Point B is twice the distance to the left of zero as C is to the right of zero. Point B is the opposite of Point C. Point B has a value of 0 and Point C has a value less than 0. Point B is positive, while Point C is negative.
Answer:
point b is twice the distance
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
100
Why is 2020 edge so hard and annoying here is 14 points
Answer:
ty
Step-by-step explanation:
thanks for points have a good day sir
Answer:
ik right ughh
Step-by-step explanation:
Mr Signorelli is buying a new suit for a wedding. The suit costs $250, but he found a coupon for 20% off. What is the sale price of the suit?
Answer:
$200
Step-by-step explanation:
$200
Which of the following best describes a geometric rotation?
A
A transformation that enlarges or reduces the size of a figure by certain scale factor
B
A transformation that slides a figure to a new location
С
A transforation that flips a figure across a line
D
A transformation that turns a figure around a point
Answer:C
A transformation that turns a figure around a point
Step-by-step explanation:
Seven friends have similar cell phone plans. The price of each plan is $x. Three of the seven friends pay an extra $4 per month for unlimited text messaging. Write and simplify an expression that represents the total cost of the seven plans. (Provide expression in simplest form)
Answer: 7x + 12
Step-by-step explanation:
The price of each plan = $x
Since three of the seven friends pay an extra $4 per month for unlimited text messaging, the cost of the three friends will be:
= 3(x + 4)
The cost if the other four friends will be:
= 4 × x
= 4x
Therefore, the total cost of the seven plans will be:
= 4x + 3(x + 4)
= 4x + 3x + 12
= 7x + 12
What is the least common multiple (LCM) of 5 and 9?
14
35
40
45
Answer:
35
Step-by-step explanation:
Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?
Given:
Arnold has $24 to spend at the movies.
Ticket = $12
Popcorn is double the price of the soda.
The soda and candy bar are same price.
To find:
The price for the soda.
Solution:
Let x be the price of soda.
According to the question,
Price of candy = Price of soda = x
Price of popcorn = 2(price of soda) = 2x
Total amount = Ticket + Popcorn + Soda + Candy
[tex]24=12+2x+x+x[/tex]
[tex]24=12+4x[/tex]
[tex]24-12=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Therefore, the price of soda is $3.
Solve the trigonometric equation for all values 0 < x < 2pi
sec x – 1= 0
Answer: x= pi
Step-by-step explanation:
Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how
much of her $20 she spent at the mall? Explain how you got your answer.
Answer:
jan spent 0.25, 1/4, or 25% of her money at the mall
any 3 of those answers are correct
Step-by-step explanation:
she spent $5 out of $20.
5/20 = 1/4
1/4 = 25% or 0.25
What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)
First, we will use elimination to solve for y.
[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]
Now, we will use what we got for y to solve for x.
[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]
Solution:
[tex](-1, 5)[/tex]
HELP PLS IDK WHAT TO DO
Answer: hmmm i think u should multiply
Step-by-step explanation:
Answer:
gfbngfjhbfgnbfhbnng
Step-by-step explanation:
PLEASE HELP! A tank containing 35 gallons of water is leaking at a rate of 1/4 gallon per minute. Write an expression to determine the number of gallons left in the tank after m minutes. Thank you!
Answer:
35 - m is the expression used to determine the number of gallons left in the tank after m minutes.
Step-by-step explanation:
Given:
Tank with 35 gallons of water is leaking at a rate of gallon per minuteCalculations:
Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water [tex]=35-m * 1=35-m[/tex] The required expression is 35 – mWhat is the slope of the line?
Answer:
6/3=2
Step-by-step explanation:
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of money? How much do they have at that time?
Answer:
Let x represents the week and y represents the amount of money.
As per the given statement:
Diego has $11 and begins $5 each week toward buying a new phone.
⇒ ......[1]
It is also given that Lin $60 and begins spending $2 per week.
⇒ ....[2]
when they have the same amount.
equate [1] and [2] we get;
Add both sides 2x we get;
Subtract 11 from both sides we get;
Divide both sides by 7 we get;
x = 7
Substitute the value of x = 7 in [1] we have;
Therefore, at x= 7 week they have the same amount of money and they have the amount at that time, $ 46
Step-by-step explanation:
| For which equation is a = 8 a solution? A 15 - a = 10 B) 10 + a = 23 c) a - 18 = 26 D) a +8 = 16
Answer:
D
Step-by-step explanation:
a + 8 = 16
collect like terms
a=16 - 8
a = 8
Solve the proportion
Answer:
x= -21
Step-by-step explanation:
Please help me I’m working on a math test and I’m struggling with this problem: The Aon center in Chicago is one of the worlds tallest buildings. It was built in 1973. It is 1,136 feet high and has 80 stories. If each story is of equal height, how tall is each story btw this is division (:
Answer:
They are 14.2 feet high each
Step-by-step explanation:
1136/80=14.2
Answer:
14.2 feet
Step-by-step explanation:
We know that the height of the Aon Center is 1,136 feet.
This building has 80 stories whose heights are equal.
Therefore, in order to calculate the height of each story, we must divide the height of the Aon Center by the number of stories it has.
Miguel did the following math problem: 6^5 ∙ 6^4 = 36^9.
Which of the following is a true statement?
He is correct.
He is incorrect because he should have subtracted the exponents.
He is incorrect because he should have multiplied the exponents.
He is incorrect because he multiplied the bases.
Answer:
He is incorrect because he multiplied the bases.
Step-by-step explanation:
[tex] \huge 6^5 ∙ 6^4 = {6}^{5 + 4} = {6}^{9} [/tex]
He is incorrect because he multiplied the bases.
Gr
How many cups of lime juice does Marcus
need for 3 cups of Greel yogurt?
Answer:
1/5 or 1 1/5
Step-by-step explanation:
Answer:1 1/5c of lime juice
Step-by-step explanation:
Hey guys happy holidays! any help is appreciated :)
A group of 31 students is going to visit the museum. The total cost for the tickets is $145.15. About how much money will each student need to pay for a ticket?
Answer:
$4.65
Step-by-step explanation:
someone plz help ive been stuck on this problem
A circle has radius 40 cm. Which of these is closest to its area
Answer:
5026.55
Step-by-step explanation:
what is the value of x in the
triangle?
Answer:
x = 75°
Step-by-step explanation:
Sum of angles in a triangle: 180°
So,
50°+55°+x=180°
105°+ x = 180°
Subtract 105° from both sides
x = 75°
2 (5 – a) – 6 (2a + 3)
Answer: -14a - 8
Step-by-step explanation:
so basically... idek
You apply a fertilizer at 1 ounce for every 3 gallons and use 432.5 gallons of water. How much fertilizer did you use?
12 large bottles of water cost nine dollars how many bottles can you buy for three dollars
Answer:
12 bottles for $9.
11 $8
9 $7
8 $6
7 $5
6 $4
5 $3
5 bottles for $3.
What is the y-intercept when a line has a slope of 7 and passes
through the point (-1,-3)?