Answer:
114 degrees
Step-by-step explanation:
Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many gallons of punch should she make for her party? *
Answer:8
Step-by-step explanation:
Sandra wants to give a party for 60 people. Given that her punch recipe, which yields 2 gallons, serves 15 people, she can use a proportional relationship to determine she will need 8 gallons of punch.
Explanation:This question can be solved by setting up a proportional relationship. In the given case, we know that the punch recipe produces 2 gallons of punch and serves 15 people. Hence, the ratio is 2 gallons per 15 people or 2/15.
Now, let's use this ratio to calculate how many gallons of punch she will need for 60 people. Form a proportion as follows:
2/15 = x/60
Where 'x' represents the number of gallons needed for 60 people. To find 'x', cross-multiply:
2 * 60 = 15 * x
120 = 15x
Then, divide both sides by 15 to solve for 'x':
x = 120/15
So, 'x' equals 8. That means Sandra needs to make 8 gallons of punch for her party.
https://brainly.com/question/34138295
#SPJ3
How many solutions does this system have? 2x+8y=16,-3x+6y=30
Final answer:
To determine the number of solutions for the system of equations 2x+8y=16 and -3x+6y=30, the elimination method can be used. After multiplying and combining the equations, it is found that the system has a unique solution at (-4, 3). This means the two lines intersect at exactly one point.
Explanation:
The student is asking about the number of solutions for the system of equations 2x+8y=16 and -3x+6y=30. To find out how many solutions the system has, we can use either substitution, elimination, or graphing methods. Substitution involves solving one equation for one variable and then substituting that into the other equation. Elimination involves adding or subtracting equations to cancel out one of the variables, which can be followed by solving for the remaining variable. Graphing would involve plotting both equations and observing their intersection points.
For this specific problem:
Equation 1: 2x+8y=16
Equation 2: -3x+6y=30
If we try to use the elimination method, multiplying Equation 1 by 3 and Equation 2 by 2 would allow us to cancel out the x's:
Multiplying Equation 1 by 3: 6x+24y=48
Multiplying Equation 2 by 2: -6x+12y=60
Adding these equations together gives us:
36y=108, which simplifies to y=3. Substituting y=3 into Equation 1, we can solve for x:
2x+8(3)=16
2x+24=16
2x=-8
x=-4
Thus, the system has a unique solution (x, y)=(-4, 3), indicating that the two lines intersect at exactly one point.
You are a manager at a restaurant. The restaurant’s freezer needs to be kept at a temperature of −5°F. The last reading was −1°F.
How does the temperature need to change to reach the preferred reading?
It needs to decrease by 6°.
It needs to decrease by 5°.
It needs to decrease by 4°.
It needs to increase by 4°.
It needs to increase by 6°.
Answer:
It needs to decrease by 4°
Step-by-step explanation:
-1-4=-5
mark my brainliest? :)
Final answer:
The temperature needs to change by 4°F to reach the preferred reading at -5°F.
Explanation:
The current temperature of the restaurant's freezer is -1°F. To achieve the preferred temperature of -5°F, we need to calculate the difference between the two temperatures The temperature needs to change to reach the preferred reading is 5°. Thus,
Calculating the difference between the preferred temperature (-5°F) and the current reading (-1°F): -5 - (-1) = -5 + 1 = -4°F.Since temperatures are measured in terms of how much they deviate from zero, it needs to decrease, so the change will be positive: 4°F.Therefore, the temperature needs to decrease by 4°F to reach the preferred reading.
True or False
(x - 3)(x + 3) = (x + 3)(x – 8)
Answer:
False
Step-by-step explanation:
If you divide both sides of the equation by (x+3), you get (x-3)=(x-8)
That makes 3 = 8.
The only way this is possible is if x = -3
Answer:
False
See picture for steps
Gordon is going to buy fruit
for a smoothie. He wants
raspberries, R, that are $4 a
carton and strawberries, S,
that are $2 a carton. Write an
equation to represent all the
combinations of fruit if Tony
has $24 to spend.
Answer:
4R+2S=24
Step-by-step explanation:
Let the raspberry be represented as R
Let the strawberry be represented as S
Since a carton of raspberry is$4=4R
Since a carton of strawberry is $2=2S
And the sum of the two is 24
4R+2S=24
Since a specific value is not given
So the final answer is
4R+2S=24
What is the slope of the line that passes through the points (-8,-4) and (4, -4)?
Write your answer in simplest form.
Answer:
it is 0
Step-by-step explanation:
What is the next term of the arithmetic sequence?
-6,-8, –10, –12, -14,
Answer:-16 Hope that helps
Step-by-step explanation:
Sue has 18 sweets .Tony also has 18 sweets.Sue gives x sweets to Tony.Sue then eats 5 of her sweets.Tony then eats half of his sweets.Write expressions for the number of sweets Sue and Tony now have.
Answer:
SUE: (18-x)-5
TONY: (18+x) / [tex]\frac{1}{2}[/tex]
Sue has 18 sweets
Tony also has 18 sweets
Sue gives x sweets to Tony
Sue then eats 5 of her sweets
Tony then eats half of his sweets
(18-x)-5=(18+x)/ 1/2
x= -7.6
If x = a sec and y = b tan then find b^2x x^2-a^2x y^2
What is the length of the hypotenuse of a right triangle with legs that are 7 and 8 inches long?
Answer:
square root of 113 or 10.63014581
Step-by-step explanation:
Answer:
[tex]\sqrt{113}[/tex]
Step-by-step explanation:
Using pythag theorem:
Length of the hypotenuse is [tex]\sqrt{7^{2}+8^2 }[/tex]
Thus [tex]\sqrt{113}[/tex]
Pat's average weekly income from her part time job was 15% more in September than it was in July. her average weekly income in July was 10% less than it was in August. if her average weekly income in September was $207, what was her average weekly income in August?
Her average weekly income in August was $200.
Step-by-step explanation:
To find the income in july :
Given that,
Her average weekly income in September was $207.Her part time job was 15% more in September than it was in July.Let,
'x' be the 100% of income she got in July.
Therefore, the income $207 in September is 115% of x.
⇒ 115% of x = 207
⇒ 1.15 × x = 207
⇒ x = 207 / 1.15
⇒ x = 180
∴ Her average weekly income in July was $180.
To find the income in August :
Given that,
Her average weekly income in July was 10% less than it was in August.We found that, $180 is the average weekly income in July which is 10% less than August.Let,
'y' be the 100% of income she got in August.
Therefore, the income $180 in July is 90% of y.
⇒ 90% of y = 180
⇒ 0.9 × y = 180
⇒ y = 180/0.9
⇒ y = 200
∴ Her average weekly income in August was $200.
her average weekly income in August was $200 .
Step-by-step explanation:
Let in July income was x , So in September :
⇒ [tex]x+\frac{15x}{100}[/tex]
According to question , her average weekly income in September was $207 i.e.
⇒ [tex]x+\frac{15x}{100}=207[/tex]
⇒ [tex]\frac{115x}{100}=207[/tex]
⇒ [tex]x=207(\frac{100}{115})[/tex]
⇒ [tex]x=180[/tex]
Now , average weekly income in July was 10% less than it was in August , let income of august = y, i.e.
Income in august = [tex]180+\frac{August(10)}{100}[/tex]
⇒ [tex]y=180 + \frac{y(10)}{100}[/tex]
⇒ [tex]\frac{9}{10}y=180[/tex]
⇒ [tex]y=\$200[/tex]
Therefore , her average weekly income in August was $200 .
The circumference of a circle is 48 pie units. What is the radius of the circle
Answer:
r = 24
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
48 pi = 2 * pi *r
Divide each side by 2pi
48 pi / 2pi = 2 * pi *r/ 2pi
24 = r
What’s the area and the perimeter
Area formula: a = l * w
a = 8 * 4.5
a = 36
Perimeter formula: p = 2l * 2w
p = 2(8) + 2(4.5)
p = 16 + 9
p = 25
Best of Luck!
Lyla made a scale drawing of a city park. She used the scale 1 millimeter = 1 meter. What is the scale factor of the drawing?
Answer:
1ml : 1m
Step-by-step explanation:
The scale factor of the drawing is the ratio of 1 milliliter and 1 meter; that is, 1ml : 1m.
Match its group with its percentage or mean using the table below.
Answer:
1) [tex]\bar x = 6.2[/tex], 2) [tex]\bar x = 8.75[/tex], 3) [tex]\bar x = 4.5[/tex], 4) [tex]p = 40\,\%[/tex], 5) [tex]p = 60\,\%[/tex], 6) [tex]p = 10\,\%[/tex]
Step-by-step explanation:
1) Mean length of all fish in the sample:
[tex]\bar x = \frac{12+5+3+5+8+2+10+9+4+4}{10}[/tex]
[tex]\bar x = 6.2[/tex]
2) Mean length of adult fish in the sample:
[tex]\bar x = \frac{12+5+8+10}{4}[/tex]
[tex]\bar x = 8.75[/tex]
3) Mean length of juvenile fish in the sample:
[tex]\bar x = \frac{5+3+2+9+4+4}{6}[/tex]
[tex]\bar x = 4.5[/tex]
4) Percentage of sample that were adult fish:
[tex]p = \frac{4}{10}\times 100\,\%[/tex]
[tex]p = 40\,\%[/tex]
5) Percentage of sample that were juvenile fish:
[tex]p = 100\,\% - 40\,\%[/tex]
[tex]p = 60\,\%[/tex]
6) Percentage of sample that were juveniles over 8 inches long:
[tex]p = \frac{1}{10}\times 100\,\%[/tex]
[tex]p = 10\,\%[/tex]
25% = degrees of 360
Answer:
[tex]90^o[/tex]
Step-by-step explanation:
Step 1: Multiply
[tex]0.25 * 360^o[/tex]
[tex]90^o[/tex]
Answer: [tex]90^o[/tex]
A rectangle has a height of 5y^3 and a width of 3y^3-8y^2+2y. Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
Solution:
Given that, A rectangle has:
[tex]height = 5y^3 \\\\width = 3y^3 - 8y^2 + 2y[/tex]
Express the area of the entire rectangle
[tex]\text{Area of rectangle } = 5y^3 \times (3y^3 - 8y^2 + 2y)[/tex]
[tex]Area = 5y^3\times \:3y^3+5y^3\left(-8y^2\right)+5y^3\times \:2y\\\\Area = 15y^6 -40y^5 + 10y^4 \\\\[/tex]
Standard form means that the terms are ordered from greatest exponent to lowest exponent
Thus area of entire rectangle in standard form is: [tex]15y^6 -40y^5 + 10y^4[/tex]
Please answer, i will give brainiest
Answer:
52
Step-by-step explanation:
52
Sierra simplified an expression as shown below: Given: x + 8 + 5(x - 4) Step 1: x + 8 + 5x - 20 Step 2: 5x + 8 - 20 Step 3: 5x - 12 In which step did Sierra make a mistake? What should she have done instead?
Answer:
In which step did Sierra make a mistake? Step 2.
What should she have done instead? add the x and the 5x
Step-by-step explanation:
she had the expression:
[tex]x + 8 + 5(x - 4)[/tex]
and then she multiplied the 5 by the parentheses (step 1):
[tex]x + 8 + 5x - 20[/tex]
no mistakes so far
then she has: [tex]5x + 8 - 20[/tex] (step 2) Here is the mistake, she forgot about the 'x' that she has at the beginning of the expression.
What you should have done is add the x and the 5x, so she must a 6x in the following step (correcting the mistake):
[tex]6x+8-20[/tex]
which gives us:
[tex]6x-12[/tex]
At a school picnic, students can choose their dessert. The desserts include 8 ice cream sandwiches, 9 chocolate frozen bananas, 12 ice cream cones, 11 frozen pops, 16 push-up sticks, and 14 shaved ice cones. If desserts are chosen at random, what is the probability that the first person in line will choose an ICE CREAM CONE? Please select one answer.
Answer:
[tex]\frac{12}{70}[/tex]
Step-by-step explanation:
Firstly add up the total number of Deserts.
8 + 9 + 12 + 11 + 16 + 14 = 70
There are a total of 12 ice cream cones
This can be represented as a fraction for your answer [tex]\frac{12}{70}[/tex]
Let ABCD be a convex quadrilateral. Let P and Q be points on side AB such that AP = PQ = QB. Similarly, BR = RS = SC, CT = TU = UD, and DV = VW = WA.
The area of quadrilateral ABCD is 180. Find the area of hexagon AWTCSP.
Answer:
Isn't this an AoPS Problem?
Step-by-step explanation:
What is the circumference of this circle, in centimeters? Use StartFraction 22 over 7 EndFraction for Pi.
A circle with diameter 21 centimeters.
Answer:
66 cm
Step-by-step explanation:
Diameter (d) = 21 cm
[tex]C = \pi \: d = \frac{22}{7} \times 21 = 22 \times 3 = 66 \: cm[/tex]
Answer:
66 cm
Step-by-step explanation:
What is bigger 2/8 or 4/16
Answer:
los dos son lo mismo solo que se multiplican por dos espero me entiendas
Step-by-step explanation:
Answer: They equal the same thing
Step-by-step explanation: Notice that the fractions that we're comparing in this problem have different denominators. When fractions have different denominators they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator.
The common denominator of 8 and 16 will be the least common multiple of 8 and 16 or 16. To get a 16 in the denominator of 2/8, we multiply the numerator and the denominator by 2 which gives us 4/16.
Now notice that 4/16 is equal to 4/16 since we changed 2/8.
Since 4/8 equals 4/8, these fractions are the same
Which dimensions can create only one unique triangle?
Answer:
The dimensions must all add up to 180°.Step-by-step explanation:
For example;
Your triangles' angles are: 56, 77, and 47.
56 + 77 + 47 = 180
*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself. If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.
I hope this helped!Answer:
a
Step-by-step explanation:
Sari had 3 times as much money as Raymond. If after she paid Raymond a certain number of dollars, she had $30 and Raymond had $42, which of these statements is correct?
A.
Sari originally had $18.
B.
Sari originally had $24.
C.
Sari paid Raymond $18
D.
Sari paid Raymond $24.
Answer:
D
Step-by-step explanation:
both A and B are false, because no value would allow Sari to pay Raymond and then still have 30 dollars so it has to be C or D
42 - 24 = 18 18 times 3 is 54, so this appears to work
30 + 24 = 54
42 - 18 = 24 24 times 3 is not 48, so C is incorrect
30 + 18 = 48
What is the area of the surface of a cookie was a diameter of 32 feet?
That would be [tex]\pi(32/2)^2\approx804.25\mathrm{ft^2}[/tex].
Hope this helps.
How to solve the problem 11 1/5 - 10 4/15 =
Answer:
is 5
Step-by-step explanation:
bc you know you know
so the answer is 14/15.
Hope this will help u...
A cylinder has a base with a diameter of 6 cm, and a height of 12 cm. What is its volume?
Answer:
V≈339.29cm³
Step-by-step explanation:
Answer:
The volume of the cylinder is approximately [tex]\( 339.292 \)[/tex] cubic centimeters.
Explanation:
To find the volume [tex]\(V\)[/tex] of a cylinder, you can use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
Where:
- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14159
- [tex]\( r \)[/tex] is the radius of the base of the cylinder
- [tex]\( h \)[/tex] is the height of the cylinder
Given that the diameter of the base is 6 cm, the radius [tex](\( r \))[/tex] is half of that, so [tex]\( r = \frac{6}{2} = 3 \)[/tex] cm.
The height [tex](\( h \))[/tex] of the cylinder is given as 12 cm.
Now, plug the values into the formula:
[tex]\[ V = \pi (3)^2 \times 12 \][/tex]
[tex]\[ V = 9\pi \times 12 \][/tex]
[tex]\[ V = 108\pi \][/tex]
Now, if you need a numerical approximation, you can multiply 108 by the value of [tex]\( \pi \)[/tex]:
[tex]\[ V \approx 108 \times 3.14159 \][/tex]
[tex]\[ V \approx 339.292 \][/tex]
Which of the following is a dilation?
O (x, y)----(x, 3y)
O (x,y)--(3x, 3y)
O (x, y)--(x,y-3)
O (x, y)---(.5x, .4y)
O Both 2 & 4
Is this correct?
Need help!!!!!
plz
Answer:
150
Step-by-step explanation:
the bases are 60 and the sides are 90