Given:
A recipe calls for a total of 3 and two-thirds cups flour and sugar respectively.
To find:
The flour needed if the recipe calls for one-fourth cup of sugar.
Solution:
According to the question,
[tex]\dfrac{2}{3}[/tex] of sugar needs 3 cups of flour.
[tex]1[/tex] of sugar needs [tex]\dfrac{3}{2}\times 3[/tex] cups of flour.
[tex]\dfrac{1}{4}[/tex] of sugar needs [tex]\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex] cups of flour.
Now,
[tex]\text{Required flour}=\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex]
[tex]\text{Required flour}=\dfrac{9}{8}[/tex]
Therefore, the required flour is [tex]\dfrac{9}{8}[/tex] cups.
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many
This question is incomplete
Complete Question
An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Answer:
a)How many students does the academy have per teacher?
22 students per teacher
b) Per tutor?
11 students per tutor
c) How many tutors does the academy need if it has 132 students?
12 tutors
Step-by-step explanation:
a)How many students does the academy have per teacher?
6 teachers = 132 students
1 teacher = x
6 × x = 132 × 1
x = 132 × 1/6
x = 22 students
Hence, we have 22 students per tutor
b) Per tutor?
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4 × x = 1 × 44
x = 44/4
x = 11 students
Hence, we have 11 students per tutor
c) How many tutors does the academy need if it has 132 students?
44 students = 4 tutors
132 students = x tutors
Cross Multiply
44 × x = 132 × 4
44x = 132 × 4
x = 132 × 4/44
x = 12 tutors
The academy needs 12 tutors if they have 132 students.
The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answer:
The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Step-by-step explanation:
We are given
Average of 3 quiz grades = 17
Grade of quiz 1 = 14
Grade of quiz 2 = 19
We need to find Grade of quiz 3
The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]
Using formula and finding the grade of quiz 3
[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]
So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
I need to know 9 and 10
Answer:
x=36°
y=144°
Step-by-step explanation:
y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°
x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°
180°-144°=36°
hopefully this helps :)
Identify three solutions of the inequality x < 1
Answer:
-1, -2, -3
Step-by-step explanation:
any number less than 1 will work
Answer:
-3, -4,-5
Step-by-step explanation:
< means less than. In this situation, you want x to be less than 1, so basically, any number under 1 is correct.
f(x) = 2x + 1
h(x) = one-halfx – one-half
h(x) = one-halfx + one-half
h(x) = one-halfx – 2
h(x) = one-halfx + 2
Lauren is working two summer jobs, making $11 per hour washing cars and $6 per hour walking dogs. Lauren must earn no less than $120 this week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours walking dogs, d, that Lauren can work in a given week
Answer:
11w + 6g ≥ 120
Step-by-step explanation:
Let's set:
w = number of hours Lauren spent washing cars
d = number of hours Lauren spent walking dogs
Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.
Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.
The total earnings are:
T = 11w + 6g
Lauren must earn not less than $120 this week, thus:
11w + 6g ≥ 120
This is the required inequality
Answer:
11w+6d≥120
Step-by-step explanation:
this is straghit from my delt math so it has to be right
Jesse wants to buy a guitar that cost $2000 however he cannot afford the full payment and in order to take you home he needs to leave a 12% down payment how much does Jessie need to pay to take the guitar home
Answer:
$240Step-by-step explanation:
Step one:
given data
we are told that the cost of the guitar is $2000
and that 12% of the cost must be paid for Jesse to take the guitar home.
Hence we aim to know what 12% of $2000 is
Step two:
The expression is
=12/100*2000
=0.12*2000
=240
This means that Jesse must pay $240 before he can take the guitar home
i need help on this question about slope
pls help find the inequality represented by the graph
Answer:
use the linear equation of a line
equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
now u do the rest
(8+t)^3-6
t=2
(3 is an exponent)
The value is:
Answer:
994
Step-by-step explanation:
PEMDAS
Parentheses: 8+2 = 10
Exponents: 10^3 = 1000
Subtraction = 1000-6
= 994
The figures below are similar. Find the length of the missing side.
7
91
91
11
7
х
4
52
X=
Answer:
63 is this right?
Step-by-step explanation:
10 x 9 = 90
so 7 x 9 = 63
In ARST, mZR = (11x + 3)º, mZS = (x + 15), and mZT = (2x + 8).
Find mZR
Answer:
124°
Step-by-step explanation:
(11x + 3)° + (x + 15)° + (2x + 8)° = 180°
14x + 26 = 180
14x = 154
x = 11
m∠R = [11(11) + 3]° = 124°
Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?
Answer:
Width = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
W = L - 20
P = 140
Hence,
140 = 2L + 2(L - 20)
140 = 2L + 2L - 40
Collect like terms
140 + 40 = 4L
180 = 4L
L = 180/40
L = 45 feet
Length = 45 feet
Width = L - 20 feet
=( 45 - 20) feet
= 25 feet
A. What is the slope of the trend line?
B. What is the meaning of the slope in context of the problem?
C. What is the y-intercept?
D. What is the equation?
E. Predict how many words per minute Jaime would type after 11 weeks. Explain how you made your prediction.
Answer:
Slope is 4/9 The y intercept is where the line crosses on the Y line of the graph i think its 15 or something along those lines. I dont have enough time to answer the rest but i really hope somebody else does!!
Step-by-step explanation:
how do you fing the missing angle from a triangle
Answer
Law of Sines
Step-by-step explanation:
If you have all three side lengths, you can use law of sines.
side length a/sin of angle a=side length b/sin of angle b=side length c/sin of angle c
not sure if that makes sense but look up the law of sines!
how do you calculate the area and perimeter of a slope triangle?
Answer:
How you find the area of a triangle is by, multiplying two of the sides together then multiplying that by 1/2 or .5 . To find the perimeter of the triangle add all the three sides together!
Step-by-step explanation:
What is the domain and the range for this graph
Answer:
Domain:(0,infinite)
Range:(5,infinite)
Step-by-step explanation:
Answer:
D = 0, 1, 2, 3, 4, 5
R = 20, 40, 80, 160
Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?
Answer:
0.08 percent
Step-by-step explanation:
Answer:
0.08%
Step-by-step explanation:
i just did 4/50. i know this works because i use it to find my grade percentages.
Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?
Given:
Total income form tips = $131
His tips consisted of $1 bills and $5 bills only.
Total number of bills = 47
To find:
The number of $5 bills.
Solution:
Let x be the number of $1 bills and y be the number of $5 bills.
Total bills : [tex]x+y=47[/tex] ...(i)
Total income : [tex]x+5y=131[/tex] ...(ii)
Subtract (ii) from (i), we get
[tex]x+5y-(x+y)=131-47[/tex]
[tex]x+5y-x-y=84[/tex]
[tex]4y=84[/tex]
[tex]y=21[/tex]
Therefore, the number of $5 bills is 21.
what is 1,296 divided by 22
Answer:
58.9090 rounded to nearest whole it's 59
Step-by-step explanation:
Hope this helps ya!
If you need work tell me.
A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?
Answer:
- 4.683
Step-by-step explanation:
Given that:
Slope of regression line = 2.334
Mean of x coordinate = 6.607
Mean of y coordinate = 10.738
Y value of the y intercept of the line :
The value of the intercept can be obtained using the the relation :
Mean of y coordinate - slope(mean of x coordinate)
Ybar - slope(xbar)
10.738 - 2.334(6.607)
= −4.682738
= - 4.683 ( 3 decimal places)
Hence, intercept = - 4.683
Answer:
- 4.683
Step-by-step explanation:
A gym all machine contains 23 green gum balls, 52 red gum balls, 34 blue gum balls, 61 yellow gum balls, and 30 pink gum balls.
What percent of the gum balls are red
Answer:
26%
Step-by-step explanation:
total gum balls 200
52/200 = x/100
52×100=5200
5200÷200=26
How do you factor 3х2-8x?
Answer: 6-8x
Step-by-step explanation:
Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.
1. Write an expression that shows how much Vincente slept in terms of Dorinda.
2. Write an expression that shows how much Dorinda slept in terms of Sade.
3. Write an expression that shows how much Sade slept in terms of Vincente.
Answer/Step-by-step explanation:
*An average person on Earth needs 8.5 hours of sleep each night*
1. V - 5 = D
2. D ÷ 2 = S
3. S + 5 = V
+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.
Answer:
Step-by-step explanation:
Given:
AB ≅ AD
AC ⊥ BD
To Prove:
ΔBAE ≅ ΔDAE
Statements Reasons
1). AB ≅ AD and AC ⊥ BD 1). Given
2). AE ≅ AE 2). Reflexive property
3). ΔBAE ≅ ΔDAE 3). HL postulate of congruence
What is the nature of the solution set to the following system of equations?
5x - y = 2
2x -0.5y = 3
O One solution at (-4,-4)
O Infinitely many solutions
O One solution at (-4,-22)
ONo solutions
Answer:
One solution at (-4, -22)
Step-by-step explanation:
5x - y = 2
y = 5x - 2 --(1)
2x - 0.5y = 3 --(2)
sub (1) into (2):
2x - 0.5(5x - 2) = 3
2x - 2.5x + 1 = 3
-0.5x = 2
x = -4
when x = -4, y = 5(-4) - 2 = -22
The nature of the solution set to the system of equations are,
⇒ One solution at (-4,-22).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
5x - y = 2 .. (i)
2x - 0.5y = 3 .. (ii)
Now, We can simplify as;
From (i);
5x - y = 2
y = 5x - 2
Put above value in (ii);
2x - 0.5 (5x -2) = 3
2x - 2.5x + 1 = 3
- 0.5x = 2
x = - 4
From (i);
y = 5 × - 4 - 2
y = - 20 - 2
y = - 22
Thus, The nature of the solution set to the system of equations are,
⇒ One solution at (-4,-22).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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What is 12.18 x 103 =
Answer:
1,254.54
Step-by-step explanation:
Answer:
1,254.54
Step-by-step explanation:
I need help with #18 & 20 ASAP!!!!!!!
Please explain so I can understand
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answer:
Step-by-step explanation:
a
Answer:
your answer is A 64
Step-by-step explanation:
there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64
can Someone help me
Answer:
B
Step-by-step explanation: