Answer:
3 3/4 teaspoons of cinnamon
Step-by-step explanation:
Proportions
Proportional relationships between two variables imply their ratios are constant.
It means that one variable is always a constant value times the other.
We are told that 1 1/2 (1.5) teaspoons of cinnamon are good to make 2 dozen oatmeal cookies. Two dozen is equivalent to 24, thus the ratio between oatmeal cookies and teaspoons of cinnamon is 24 / 1.5 = 16.
It means for each teaspoon of cinnamon you can make 16 oatmeal cookies.
If we wanted to make 60 oatmeal cookies, we need 60/16 = 3.75 teaspoons of cinnamon.
The number 3.75 is equivalent to
3+0.75 = 3 + 3/4, or 3 3/4 teaspoons of cinnamon
An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4 point questions are on the test?
Answer:
33 questions.
Step-by-step explanation:
Let x = 4 points questions.
Let y = 8 points questions.
Translating the word problem into an algebraic equation;
For the total number of questions;
[tex] x + y = 65[/tex] .........equation 1
For the total number of points;
[tex] 4x + 8y = 388[/tex] ..........equation 2
Given the following data;
Total number of questions = 65
Total number of points = 333
Solving the linear equation by using the substitution method;
Making x the subject in equation 1:
[tex] x = 65 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] 4(65 - y) + 8y = 388[/tex]
Simplifying the equation, we have;
[tex] 260 - 4y + 8y = 388[/tex]
[tex] 260 + 4y = 388[/tex]
Rearranging the equation, we have;
[tex] 4y = 388 - 260[/tex]
[tex] 4y = 128[/tex]
[tex] y = \frac {128}{4} [/tex]
y = 32 (For the 8 points question).
Substituting "y" into equation 3;
[tex] x = 65 - 32[/tex]
x = 33 (For the 4 points question).
Therefore, the number of 4 point questions on the test are 33 questions.
Every 2.5 hours, a machine produces 150 baskets.
What is the unit rate of this proportional relationship? (Hint: You are trying to find how many baskets in one hour.)
60 baskets per hour
60 baskets per hour
2.5 baskets per hour
2.5 baskets per hour
25 baskets per hour
25 baskets per hour
16.6 baskets per hour
Answer:
60
Step-by-step explanation:
We use unit rate function,
Let h be hours
Let b be baskets
2.5h = 150b
We divide both sides by 2.5
2.5h/2.5 = 150b/2.5
Which will give us
h = 60
Which function represents a reflection of f(x) = 3 (2)* over the x-axis? O g(x) = -3(2) g(x) = (-2)" O g(x) === O g(x) = {(2)
Answer: The answer is A on edgenity!
Step-by-step explanation:
Answer:A is right
Step-by-step explanation:
please help me........please:)
Step-by-step explanation:
2/3 x 2/2 = 4/6
2/3 x 3/3 = 6/9
2/3 x 4/4 = 8/12
A kangaroo can jump at a speed of 40 miles per hour. Which representation shows the distance a kangaroo can jump at this rate?
Answer:
y=40x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A new Youth Sports Center is being built in Pagosa Springs. The perimeter of the rectangular playing field is 236 yards. The length of the field is 2 yards less than
double the width. What are the dimensions of the playing field?
The width is yards
The length is yards.
Answer:
Width = 40 yards ; length = 78 yards
Step-by-step explanation:
Recall :
Perimeter of rectangle : 2 (length + Width)
Given that :
Perimeter = 236 yards
Let length = l ; width = w
Length = (2w) - 2
Hence ;
236 = 2[(2w - 2) + w]
236 = 2(2w - 2 + w)
236 = 2(3w - 2)
236 = 6w - 4
236 + 4 = 6w
240 = 6w
w = 240/6
w = 40 yards
Length = 2(40) - 2 = 80 - 2 = 78 yards
HELPP ME EMERGENCY
Six eggs weigh 240 grams. What is the constant of proportionality of
grams per egg?
Answer:
K=40
Step-by-step explanation:
240/6=40 grams and egg
check 6x40=240
Answer: K= 40
Step-by-step explanation: divide 240 by 6 :)
240/6=40
A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105 total
Step-by-step explanation:
Answer:
$105.66 is your answer.
please help me thanks
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Please help me! Im making the first correct answer brainliest!
Answer:
The answer is most likely c.)
Step-by-step explanation:
It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.
-8-x=x - 4x
How do I solve this
3. Melanie collects coins from all over the world. She is reorganizing her collection into coins from Europe and coins from other parts of the world. After sorting the coins, she comes to the conclusion that six out of every ten of the coins in her collection come from Europe.
A. Write a ratio for the number of European coins to the total number of coins, the number of non-European coins to the total number of coins, and the number of European coins to the number of non-European coins
Answer:
Step-by-step explanation:
AIiwi
(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?
Answer:
Both points are on the graphStep-by-step explanation:
Given function
x^2/25 - y^2/9 = 1To find
Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)Solution
Verifying the points are on the line by substituting values of x and y:
1.............................
6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct2.............................
(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1CorrectAnswer:
B
Step-by-step explanation:
Edge 2021
After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
by the same amount each second. How much did Halley's height change each second?
18 cm
B
108 cm
-18 cm
D
-108 cm
Answer:
it would be -18
Step-by-step explanation:
because you would divide 108 by 6 and you will get -18 each second
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad
I believe you answer would be $4 + $0.85t =$9.95
Answer:
7
Step-by-step explanation:
c = $0.85t+$4
$9.95 = $0.85t+$4
$9.95-$4 = $0.85t
$5.95 = $0.85t
$5.95/$0.85 = t
7 = t
(04.01) Which unit rate is equivalent to 13 miles per gallon? A: 26 miles 2 gallons. B: 2 gallons 26 miles. C 39 miles 4 gallons. D: 4 gallons 39 miles.
Answer:
A 26 miles per 2 gallons
A. -2
B. -1/2
C. 1/2
D. 2
How do I get the fractional form for cos 4π/3?
Answer:
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
cos
(
π
+
π
3
)
=
cos
π
⋅
cos
(
π
3
)
−
sin
π
⋅
sin
(
π
3
)
=
(
−
1
)
(
1
2
)
−
(
0
)
(
√
3
2
)
=
−
1
2
2x+7y=4 −2x−8y =−2
Answer:
-y = 2.
Step-by-step explanation:
2x + 7y= 4
- 2x – 8y = -2
Adding we eliminate x because 2x + -2x = 0:-
0 - y = 4 + -2
-y = 2.
What set of numbers is arranged from largest to smallest? (Mind the blue on one of the answers)
Answer:
B
Step-by-step explanation:
it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is
Please simplify: 5(2n + 7)
can you help me
3 – 7f = -25, f = ?
Answer:
f = 4
Step-by-step explanation:
True or false is a relation in which each y value has only 1 x value
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?
PLEASE BE CORRECT
Answer:
$412.50
Step-by-step explanation:
[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]
plz help me with this
Answer:
slope:3
y intercept:1
equation:y=3x+1
Step-by-step explanation:
Mark and his 3 friends are out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly
Help me pleaseeeeeeeeeeeeeee
Answer:
it looks to be the second answer
Step-by-step explanation:
If you understand similar figures you will get this because I don't
Answer:
I think its 3 but im not sure
Step-by-step explanation:
2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x
If G is the circumcenter of triangle ABC, find CG and FB. Round to the nearest tenth if necessary.
PLS HELP FOR GEOMETRY
9514 1404 393
Answer:
CG = 19
FB = 14.7
Step-by-step explanation:
The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.
The length of GA is given, so we have ...
GA = 19 = CG
__
Then the Pythagorean theorem can be used to find FB.
FB² +FG² = GB²
FB² = GB² -FG² = 19² -12² = 217
FB = √217 ≈ 14.7
Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answer:
The E came before H
Step-by-step explanation: