Answer:
13
Step-by-step explanation:
|3(5)-2|
|15-2|
|13|
13
stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies how many tablespoons of vanilla are needed per dozen cookies
Answer:
4 / 21 spoonful of vanilla
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens
The total amount of dozen cookies = [tex]3\dfrac{1}{2}[/tex]
Stephanie requires [tex]\dfrac{2}{3} \ tablespoons[/tex] to make [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]
Let assume that:
(x) represents the amount of the tablespoons Stephaine needs to prepare 1 dozen cookies:Then; we can equate both equations together as follows:
[tex]\dfrac{2}{3} \ tablespoons[/tex] = [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]
x tablespoon = 1 dozen cookies
By cross multiply and making (x) the subject of the formula, we have:
[tex]\mathbf{x \times 3\dfrac{1}{2} dozen \ cookies = \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}[/tex]
[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}{3\dfrac{1}{2} dozen \ cookies}}[/tex]
[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{3\dfrac{1}{2} }}[/tex]
[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{\dfrac{7}{2} }}[/tex]
[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \div {\dfrac{7}{2} }[/tex]
[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \times {\dfrac{2}{7} }[/tex]
[tex]\mathbf{x = \dfrac{4}{21} \ tablespoons}}[/tex]
Therefore, the amount of tablespoons Stephaine will need to prepare a dozen cookies is: [tex]\mathbf{ = \dfrac{4}{21} \ tablespoons}}[/tex]
Learn more about solving fractions here:
https://brainly.com/question/6201432?referrer=searchResults
Use the graph below to evaluate, f(1): A f(1)=4 B f(1)=3.5 C f(1)=2 D f(1)=3
F(1) would be the y value of where the line is at x =1
At x = 1, the line is at y =3
The answer is D. F(1) = 3
Can somebody help me with this ?? :)
Write a polynomial that represents the area of the shaded region
=========================================
Explanation:
The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution
If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.
The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)
To get the shaded area, we subtract the two rectangle areas found above
shaded area = (larger area) - (smaller area)
shaded area = (x^2+2x+1) - (5x - 35)
shaded area = x^2+2x+1 - 5x + 35
shaded area = x^2-3x+36
SCENARIO: ROAD CONSTRUCTION: Your state highway department hires high school students every summer to help with road construction projects. The hourly rate is $11.75 with the possibility of up to 10 hrs per week in overtime, for which you would be paid time and a half. Of course, the work is totally dependent on good weather, so the number of hrs you would work per week could vary. A road construction worker earns $11.75 per hour with up to 10 hours overtime. Write an equation, create a table, and create a graph for a road construction worker's weekly earnings with NO overtime, f(x), where x represents the total number of hrs the road construction worker would work. Is it Proportional or Non-proportional? Using the equation, table or graph, how much will a road construction worker earn for a typical 40 hr week
Answer:
Step-by-step explanation:
LET
x be the number of regular work hours
overtime paid time and a half :(11.75+1/2(11.75))= 17.625 dollars
max time =10 hours
max overtime paid = 10*17.625=170.65 dollars per week
f(x) or y =11.75x
the graph is proportional because it passes through the origin( no work hours, no earning)
with no overtime the workers if the workers work 40 hours then :
y=11.75*40=470 dollars
Pls help!! I need the answer immediately
Answer:
i). x³ + 9x² + yz - 15
ii). -21m³np - 8p⁵q + mnp + 4mn + 100
Step-by-step explanation:
Question (38)
i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz
By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).
(x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15
= x³ + 9x² + yz - 15
ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100
= (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100
= -21m³np - 8p⁵q + mnp + 4mn + 100
Find the next three terms in the pattern 4, 2,0,-2,-4, ... and complete the description of the pattern.
(select)
to get to the next term. The next three terms are
Answer:
[See Below]
Step-by-step explanation:
✦ First you have to determine the rule:
✧ The rule is -2
○ 4 - 2 = 2
○ 2 - 2 = 0
○ 0 - 2 = -2
○ -2 - 2 = -4
○ And the rule would go on and on...
✦ And now that you know the rule, you have to determine the next terms:
✧ -6
✧ -8
✧ -10
~Hope this helps Mate. If you need anything feel free to message me.
A motorist is pumping gas into a car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas will he have pumped into his car on 1/2 of a minute?
Answer:
5 gallons
Step-by-step explanation:
times both the rate of the gas pumping and the time it takes by 12/1
so you could get half a minute.
then you get 60/12 gallons pumped per 1/2 min
then you just simplify it to 5 gallons per half minute
Someone please help me
1
2
3
4
Resistance to British rule in southern Africa was led by the
Ethiopians
Egyptians.
Liberians.
Zulus.
O
o
What is it
Answer:
Zulus.
Explanation:
The Zulus are a group of ethnic people from the Bantu tribe in Southern Africa. They also constitute the largest ethnic group in South Africa and were a separate kingdom before the attack by the Britishers in 1879.
Therefore, it is only reasonable to say that the resistance to the British rule in Southern Africa was led by the Zulus as it was their land. The Ethiopians, Egyptians, and Liberians were African nations but not a part of the Southern African area. Ethiopia is in the East, Liberia in the West, and the Egyptians in the North part of Africa.
please help asap
solve x^4+5x^2+4=0
Answer:
[tex]x=\pm i\text{ or }x=\pm2i[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x^4+5x^2+4=0[/tex]
Let's let u be equal to x². So:
[tex]u^2+5u+4=0[/tex]
Factor:
[tex](u+1)(u+4)=0[/tex]
Zero Product Property:
[tex]u+1=0\text{ or } u+4=0[/tex]
Subtract:
[tex]u=-1\text{ or }u=-4[/tex]
Replace:
[tex]x^2=-1\text{ or }x^2=-4[/tex]
Take square root:
[tex]x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4[/tex]
Simplify:
[tex]x=\pm i\text{ or }x=\pm2i[/tex]
You are making a banner in the shape of an isosceles triangle. The banner will have ribbon on the edge. You have 15 yards of ribbon. You want the legs of the banner to each be 5 feet shorter than twice the base. Remember that isosceles triangles have two legs of equal length. What is the length of the base and each leg?
Answer:
The length and base are 10/3 and 25/3 respectively
Step-by-step explanation:
Given:
Represent the sides with S and the base with B
Shape: Isosceles Triangle
[tex]S= B- 5[/tex]
[tex]Perimeter , P= 15[/tex]
Required
Determine the base and legs of the triangle;
The perimeter (P) of a triangle is calculated as thus;
[tex]P = S+ S + B[/tex]
[tex]P = 2S + B[/tex]
Substitute B- 5 for S
[tex]P = 2(B - 5) + B[/tex]
[tex]P = 2B - 10 +B[/tex]
Substitute 15 for P
[tex]15 = 2B - 10 + B[/tex]
Collect Like terms
[tex]2B + B = 15 + 10[/tex]
[tex]3B = 25[/tex]
Divide through by 3
[tex]B = \frac{25}{3}[/tex]
Recall that [tex]S= B- 5[/tex]
[tex]S = \frac{25}{3} - 5[/tex]
Take LCM
[tex]S = \frac{25 - 15}{3}[/tex]
[tex]S= \frac{10}{3}[/tex]
Hence, the length and base are 10/3 and 25/3 respectively
the definition of theorem?
Answer:
In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.
Step-by-step explanation:
Which is the function represented by the table?
Answer:
f(x)= -2x + 1
Step-by-step explanation:
The function we will find is to be written in slope-intercept form, which is y=mx+b.
One way to find the answer would be by graphing the function, wich you can do on an online calculator or a sheet of paper.
Another way to get to our answer without even having to graph is by finding the y-intercept, or the b, of the function given in the table.
We can do this by looking at the 0 value of the table. The table tells us that the y-intercept is 1.
So, we have to look at our options and see which one has +1 for the y-intercept.
The option f(x)=-2x+1 is the answer
How to check your work: input the given x values into the chosen function, in this case f(x)= -2x + 1
So for example, you could check that this answer is the function by doing
f(-1) = -2(-1) + 1f(-1) = 2 + 1 f(-1) = 3Make sure to do this to all values.
Hope this helps!
On monday jan made withdrawals of 25 45 75 from her savings account. On the same day her twin sister julie made withdrawals of 35 55 and 65 dollars from her savings account. Write a sum of negative integers to show jans withdrawals on monday. Find the total amount jan withdrawal.
Answer:
(-25) + (-45) + (-75)
-145
Step-by-step explanation:
Given that :
jan made withdrawals of 25 45 75 from her savings account
Sum of negative integers to show Jan's withdrawals :
Expression to showing sun of negative integers to represent Jan's withdrawals :
(-25) + (-45) + (-75)
The result of the sum will give the total amount of Jan's withdrawal.
(-25) + (-45) + (-75) = - 145
Hence, total amount Jan withdrew is - 145
What is thr answer of (a-b) (a+2b)
Answer:
Step-by-step explanation:
Use FOIL method
F -> First
O Outside
I inside
L Last
(a - b)(a + 2b)= a*a + a *2b + (-b)*a + (-b)*2b
= a² + 2ab - ab - 2b²
Combine like terms
= a² + ab - 2b²
An online music club sells compact discs for $13.95 each plus a single $1.95 shipping charge. If Maria's total bill was $85.65, how many compact discs did Maria purchase? Hint: write an equation for the situation, then solve it. Please put only the number of CD's purchased in the space provided.
Answer:
6 CD's
Step-by-step explanation:
$85.65 - $1.9 = 5 $84.15
$84.15 ÷ $13.95 = 6
-3(-4b - 7n) use n = 8 and b = 2
The answer for your problem is 192
How do I fill this out? Im not sure how to?
Answer:
z=-21
Step-by-step explanation: (9-3)/2=(6+z)/5
We move all terms to the left:
(9-3)/2-((6+z)/5)=0
We add all the numbers together, and all the variables
-((z+6)/5)+6/2=0
We add all the numbers together, and all the variables
-((z+6)/5)+3=0
We multiply all the terms by the denominator
-((z+6)+3*5)=0
We calculate terms in parentheses: -((z+6)+3*5), so:
(z+6)+3*5
We add all the numbers together, and all the variables
(z+6)+15
We get rid of parentheses
z+6+15
We add all the numbers together, and all the variables
z+21
Back to the equation:
-(z+21)
We get rid of parentheses
-z-21=0
We add all the numbers together, and all the variables
-1z-21=0
We move all terms containing z to the left, all other terms to the right
-z=21
z=21/-1
z=-21
Order of Operations.
Exercises 5-8 refer to a bag filled with 3 yellow balls, 4 green balls, 2 blue balls, and 1 orange ball.
S.What is the probability of picking a red ball out of the bag?
6. What is the probability of picking a blue or yellow ball?
7. What is the probability of picking an orange ball?
8.What is the probability of picking a green ball?
9. What is the probability of picking a green or orange ball?
Answer:
s. 0/10
6. 5/0
7. 1/10
8. 4/10
9. 5/10
solve for a 36a =9 please help asap
Answer:
a = 1/4
Step-by-step explanation:
Divide each side by 36:
36a = 9
a = 1/4
Answer:
a=1/4=0.25
Step-by-step explanation:
to get the value of a divide 36 by 9.
[tex]36a=9\\ \frac{36a}{36}=\frac{9}{36}\\ a=\frac{9}{36}\\ (simplify) \\ a=\frac{1}{4}=0.25[/tex]
It takes Mr. Martin 12 minutes to drive his bus route without stopping to pick up any passengers. For each passenger stop, he estimates that 30 seconds is added to his travel time. On Tuesday, Mr. Martin spends 14 minutes driving his route.
The tables show information about the scale ratios of two different maps. 2 tables. The first table is a 2-column table with 2 rows titled Map of the United States. Column 1 is labeled Centimeters with entries 3, 12. Column 2 is labeled Miles with entries 50, 200. The second table is a 2-column table with 2 rows titled Map of Africa. Column 1 is labeled Centimeters with entries 2, 15. Column 2 is labeled miles with entries 40, 300. The ratio of centimeters to miles on the map of the United States is . The ratio of centimeters to miles on the map of Africa is . The ratio of centimeters to miles on the map of the United States is the ratio of centimeters to miles on the map of Africa.
The answers are in order 3/50,1/20, greater than.
Answer:
1.b 2.a 3.b
Step-by-step explanation:
An airport offers two shuttles that run different schedules. If both leave the airport at 4:00 pm, at what time will they next leave the airport together
Answer:
4:18 pm
Step-by-step explanation:
An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Shuttle A: 4:00 pm
Leaves every 6 minutes
Next 4:06 pm
Next: 4:12 pm
Nex: 4:18 pm
Next: 4:24 pm
Shuttle B: 4:00 pm
Leaves every 9 minutes
Next: 4:09 pm
Next: 4:18 pm
Next: 4:27 pm
Next: 4:36 pm
The next time both shuttles will leave the airport together is 4:18 pm
Find the distance between two numbers on the number line -3 1/4, -6 1/2
Answer:
[tex]3\frac{1}{4}[/tex]
Step-by-step explanation:
Given the two -3 1/4 and -6 1/2 numbers on the line, the distance between he numbers can be gotten by simply taking the differences between both values as shown;
[tex]= -3\frac{1}{4} -(-6\frac{1}{2} )\\ \\= -\frac{13}{4} + \frac{13}{2}\\ \\= \frac{-13+26}{4}\\ \\= \frac{13}{4} \\\\= 3\frac{1}{4}[/tex]
Hence the distance between two numbers on the number line is [tex]3\frac{1}{4}[/tex]
4 + 2x2(3x-5)
number of terms
Please help me one this question
Answer:
the volume is 7 because there is 7 blocks
Which of the following is closest to the square root of 4000 A) 20 B) 60 C) 400 D) 2000
Answer:A
Step-by-step explanation:
Sqrt(4000)= 20
How many inches is 2 1/2 miles
Answer:
2.5 mile inch 158400
Step-by-step explanation:
It's on google
158400
You can just ask google