Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
Solving the equation
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Answer:
A and C
Step-by-step explanation:
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill. I did the test and got 100 percent
PLS HELP ASAP!!!! BRAINLIEST AND 20 POINTS!
Aisha can use the expression 120 divided by 10 to determine the solution to which problem?
A.What is 10% of 120?
B.What is 10% of 12?
C.What is 25% of 120?
D.What is 25% of 12?
Answer:
The answer would be A.
Step-by-step explanation:
This is because when you divde 120 by 10, you will be given an answer of 12. This shows that 10% of 120 is 12.
Answer:
A. What is 10% of 120?
Step-by-step explanation:
did it on edge and the other person is correct :] Hope this helps
A car wash cleans 3 cars in 24 min.
How many cars does the car wash clean in 56 min?
168 cars
8 cars
Jong
18 cars
7 cars
the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.
Answer:
[tex]k=\frac{153}{124}[/tex]
Step-by-step explanation:
According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).
The first polynomial is :
[tex]p(y)=ky^3+3y^2-3[/tex]
When p(y) is divided by y-5, the remainder is
[tex]p(5)=k(5)^3+3(5)^2-3[/tex]
[tex]p(5)=125k+75-3[/tex]
[tex]p(5)=125k+72[/tex]
When the second polynomial:
[tex]m(y)= 2y^3-5y+k[/tex] is divided by y-5.
The remainder is;
[tex]m(5)= 2(5)^3-5(5)+k[/tex]
[tex]m(5)= 225+k[/tex]
The two remainders are equal;
[tex]\implies 125k+72=225+k[/tex]
[tex]\implies 125k-k=225-72[/tex]
[tex]\implies 124k=153[/tex]
[tex]k=\frac{153}{124}[/tex]
To rationalize the denominator 2 sqrt 10/ 3 sqrt 11 you should multiply the expression by which fraction
Answer:
B
Step-by-step explanation:
To rationalise the denominator.
Multiply the numerator/denominator by the radical on the denominator.
The radical on the denominator is [tex]\sqrt{11}[/tex], thus
Multiply the fraction by
[tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] → B
The expression (√11 /√11 ) needs to be multiplied to rationalize the denominator.
What are Rational Numbers ?Those numbers which can be written in the form p/q such that q > 0 ae called Rational Numbers.
The expression given is
( 2 √10) /( 3 √11 )
To rationalize the denominator , the radical √11 needs to be rationalize
( 2 √10) /( 3 √11 ) * (√11 /√11 )
(2√110) / 33
Therefore (√11 /√11 ) needs to be multiplied to rationalize the denominator.
Option B is the answer.
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The number of paper clips that Crystal has is 42 divided by the number of paper clips that Gayle has. If
Gayle has 11 more paper clips than Crystal does, how many paper clips does each have?
Answer:
The number of paper clips that Crystal has is 3 and the number of paper clips that Gayle has is 14
Step-by-step explanation:
Let
x----> the number of paper clips that Crystal has
y ---> the number of paper clips that Gayle has
we know that
[tex]y=x+11[/tex] ----> equation A
[tex]x=42/y[/tex] ----> equation B
substitute equation A in equation B
[tex]x=\frac{42}{x+11} \\ \\x^{2} +11x=42\\ \\x^{2} +11x-42=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=3\ paper\ clips[/tex]
see the attached figure
Find the value of y
[tex]y=3+11=14\ paper\ clips[/tex]
therefore
The number of paper clips that Crystal has is 3
The number of paper clips that Gayle has is 14
Help me help me help me help me help me help me
Answer:
Step-by-step explanation:
find the volume of each figure
Find the volume of the prism.
Answer: 120 units3
Explanation: When finding the base of a prism, you must always multiply the side with the right angle. So basically, 5 is ignored because it does not have a right angle.
1st step: 3*4=12
2nd step: 12/2=6 (because the tringle which is the base is half a square)
3rd step: 6*20=120
The ending is unit 3 because it is volume. Area is unit 2 and we don't know if the prism is in cm so it is not A, or B, and D is the incorrect answer.
In conclusion:
120 units 3
Hope this helped!
Alin
what does the electronic fund transfer act do?
Answer: The Electronic Funds Transfer Act is a federal law that protects consumers engaged in the transfer of funds through electronic methods. This includes the use of debit cards, automated teller machines and automatic withdrawals from a bank account.
Step-by-step explanation:
Answer: It limits liability if their debit card is stolen and used
(17 Leon uses 3/4 cup water to make a serving of iced tea.
Part A
If Leon makes 17 servings of iced tea, how many cups of water does
he use?
-cups
Part B
If the water cooler holds 88 servings of iced tea, how many cups of tea
does the cooler have?
cups
Answer:
A.) 12 3/4 cups
B.) 117 1/3
Step-by-step explanation:
Part A
If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?
To answer this, you must multiply 3/4 and 17
17 is the same as 17/1, so multiply the numerators and denominators
17 x 3 = 51
1 x 4 = 4
51/4 = 12 3/4
So, Leon used 51/4 or 12 3/4 cups of water
Part B
If the cooler has 88 servings of tea, how many cups of water does it have?
To solve this, divide 88 by 3/4
Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.
Again, 88 is the same as 88/1 so multiply the numerators and the denominators.
88 x 4 = 352
1 x 3 = 3
352/3 = 117 1/3
So, there are 352/3 or 117 1/3 cups of water in the cooler
I hope this helps!
To make 17 servings of iced tea, Leon uses 12.75 cups of water. If the water cooler holds 88 servings of iced tea, it contains 66 cups of water.
The student is asking how to calculate the total amount of water needed for 17 servings of iced tea, with each serving using 3/4 cup of water. To find the total, we multiply the number of servings by the amount of water per serving:
17 servings times 3/4 cup/serving = 12.75 cups
For part B, to find out how many cups are in 88 servings:
88 servings times 3/4 cup/serving = 66 cups
Find an equation for the nth term of the arithmetic sequence. a15 = -53, a16 = -5
Answer:
an = -773 + 48n
Step-by-step explanation:
an = a + (n -1)d
a15 = a + (15 - 1)d = -53
a + 14d = -53 .........1
a16 = a + (16 - 1)d = -5
a + 15d = -5 ............2
subtract equation 2 from 1
a - a + 14d - 15d = -53 + 5
-d = -48
d =48
substitute d =48 in equation 1
a + 14(48) = -53
a +672 = -53
a = -53 -672
a = -725
an = -725 + (n -1)48
an = -725 + 48n - 48
an = -773 +48n
PLEASE HELP A square has an area of 64 square units. Which set of coordinates could be the vertices of the square?
A) (3, –35) and (3, –28)
B) (21, –14) and (21, –22)
C) (32, –42) and (32, –7)
D) (74, 19) and (82, 27)
Answer:
B
Step-by-step explanation:
it is 64 units so 8 units long each
Answer:
B) (21, -14) and (21, -22)
Step-by-step explanation:
Given,
The area of the square = 64 square unit,
Let x be the side of the square,
[tex]\implies x^2 = 64[/tex]
[tex]\implies x = 8[/tex]
Hence, the side of the square = 8 unit,
⇒ The distance between the adjacent vertices in the square = 8 units,
By the distance formula,
The distance between (3, -35) and (3, -28) is,
[tex]\sqrt{(3-3)^2+(-28-(-35))^2[/tex]
[tex]=\sqrt{0+(-28+35)^2}[/tex]
[tex]=\sqrt{7^2}[/tex]
[tex]=7\neq 8[/tex]
Thus, (3, -35) and (3, -28) can not be the vertices of the square.
The distance between (21, -14) and (21, -22) is,
[tex]\sqrt{(21-21)^2+(-22-(-14))^2[/tex]
[tex]=\sqrt{0+(-22+14)^2}[/tex]
[tex]=\sqrt{8^2}[/tex]
[tex]=8[/tex]
Thus, (21, -14) and (21, -22) are the vertices of the square.
The distance between (32, -42) and (32, -7) is,
[tex]\sqrt{(32-32)^2+(-7-(-42))^2[/tex]
[tex]=\sqrt{0+(-7+42)^2}[/tex]
[tex]=\sqrt{35^2}[/tex]
[tex]=35\neq 8[/tex]
Thus, (32, -42) and (32, -7) can not be the vertices of the square.
The distance between (74, 19) and (82, 27) is,
[tex]\sqrt{(82-74)^2+(27-19)^2[/tex]
[tex]=\sqrt{8^2+8^2}[/tex]
[tex]=\sqrt{64+64}[/tex]
[tex]=\sqrt{128}[/tex]
[tex]=8\sqrt{2}\neq 8[/tex]
Thus, (74, 19) and (82, 27) can not be the vertices of the square.
Since opening night, attendance at play A has increased steadily, while attendance at play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, Where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance? Play A: y=15x+76 play B: y=-x^2+36x-4
Answer:
(5,151) and (16,316) are days with equal attendance for both plays.
Step-by-step explanation:
https://brainly.com/question/8102047
The correct answer is 5,101
Point B is reflected over the x-axis to create B'. Where is B' on the coordinate plane?
Answer:
3,-5
Step-by-step explanation:
PLEASEEEE answer!!!! NEED THIS TO GRADUATE
Answer:
number of students with blue eyes and blond hair= 42
Number of students with grey eyes and brown hair= 5
Difference of number of kids with grey eyes and brown hair and the number of students with green eyes and black hair =6
Difference of the number of students with green eyes and blond hair and the number of students with grey eyes= 14
What integer increased by - 12 is 28?
Answer:
40
Step-by-step explanation:
Let n represent the integer. Then the increase can be written as ...
n + (-12) = 28
We can add 12 to both sides of this equation:
n + (-12) + (+12) = 28 +12
n + 0 = 40 . . . . . . -12 and 12 total to zero; 28 and 12 total to 40.
n = 40
The integer is 40.
Tony created a square-shaped poster. The length of each side was 1 1/2 feet. What is the area of the poster? 3ft2 or 2 1/4 ft2??
The answer is 2 1/4 feet.
Multiply:
1 1/2 x 1 1/2
3/2 x 3/2
9/4
2 1/4
Hope this helps!
A right come has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?
Answer:
h = 15 feet
Step-by-step explanation:
A right triangle is formed by the slant height, the radius of the base and h, with the slant height being the hypotenuse.
Using Pythagoras' theorem in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
Since base diameter = 16 then radius = 8
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
The height of the given cone will be 15 feet.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are. To calculate the distance between an observer and a location on the ground when the observer is looking down from a tower or structure. It is mostly utilized in the construction industry.
Given, A right cone has a slant height of 17 feet, and the diameter of the base is 16 feet.
Since slant height and radius of the base makes a right-angle triangle with the base of radius and hypotenuse of the slant.
Thus, from the Pythagorean theorem:
hypotenuse² = height² + base²
In our case,
Hypotenuse = slant height = 17 feet
Base = radius of base of the cone = 16/2 = 8
Thus,
17² = height² + 8²
height² = 17² - 8²
height² = 225
height = 15 feet
Therefore, the height of the given cone will be 15 feet.
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this system of equation (d=5t+2
2d=4+10t) have infinitely many solutions. which of the following statements is NOT true?
a. the graphs of the equations are parallel lines
b. the equations are equivalent
c.every solution to the first equation is a solution to the 2nd equation
d.the graph of the solution to the system is a straight line.
The answer is a. If the graphs of the equations were parallel lines then they would have no solutions.
Hope this helps!
If this helps you please make it brainliest.
The statement is NOT true will the graphs of the equations are parallel lines because the system has no solution. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
If the slopes are different then the system has one solution.If the slopes are equal but have different intercepts then the system has no solution.If the slopes and intercepts are equal then the system has infinitely many solutions.This system of equations d = 5t + 2 and 2d = 4 + 10t has infinitely many solutions.
The statement is NOT true will the graphs of the equations are parallel lines because the system has no solution. Then the correct option is A.
More about the linear equation link is given below.
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The length of a rectangular garden is 10 yards and it’s width is 10 feet. What is the perimeter of the garden in feet
Answer: 80 feet
Step-by-step explanation:
10 yard= 30 feet
2[l + b]
2{30+10}
there are 858 calories 13 serving of cereal. if a bowl holds 2 servings, how many calories are in the bowl?
Answer:
132
Step-by-step explanation:
858/13=66
66*2=132
What number must you add to complete the square x^2-16=23
Answer:
6,24
Step-by-step explanation:
6,24^2-16= 22,9376 -> 23
the hypotenuse of a right triangle is 6 more than the shorter leg. the longer leg is three more than the shorter leg. find the length of the shorter leg
Answer:
9
Step-by-step explanation:
shorter leg = x
longer leg = x + 3
Hypotenuse = x + 6
x² + (x + 3)² = (x + 6)²
x² + x² + 6x + 9 = x² + 12x + 36
2x² + 6x + 9 = x² + 12x + 36
x² - 6x - 27 = 0
(x - 9) ( x + 3) = 0
x = 9 or x = -3 (rejected)
The length of the shorter leg of the right angles triangle is 9.
What is a right-angle triangle?
A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. The right triangle or 90-degree triangle is another name for this triangle.
A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse
The right triangle's three sides are interconnected. The Pythagorean Theorem explains this connection. This theorem states that in a right triangle, [tex]h^{2} = x^{2} + y^{2}[/tex];
where, h = hypotenuse; x = perpendicular side; y = base side;
Given that:
shorter leg = x
longer leg = x + 3
Hypotenuse = x + 6
⇒x² + (x + 3)² = (x + 6)²
⇒x² + x² + 6x + 9 = x² + 12x + 36
⇒2x² + 6x + 9 = x² + 12x + 36
⇒x² - 6x - 27 = 0
⇒(x - 9) ( x + 3) = 0
⇒x = 9 or x = -3.
x=-3 is not possible;
Hence, The length of the shorter leg = 9.
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Which point has coordinates (4.9,3.9)
Point C is the answer
Answer:
Point C
Step-by-step explanation:
Help me please on c it would help so much
Answer: the answer is D
Step-by-step explanation:
20+25= 45 minutes already used up. there are 120 minutes in 2 hours that she has.
120-45= 75
75/120= .625
.625x100 to get you your percentage = 62.5%
Answer:
The answer is B
what is the equation of the circle that has center (0,-8) and passes through (9,7)?
Answer: x² + y² + 16y - 242 = 0
Step-by-step explanation: The equation of circle is given in the form (x -a)² + (y - b)² = r², where (a,b) is the center of the circle and r is the radius. But r is the distance from (0,-8) to (9,7)
the equation is (x-0)² + (y + 8)² = r²
x² + (y + 8)² = r²
hence r² = (x₁ - x₂)² + (y₁ - y₂)²
r² = (0 - 9)² + (-8 - 7)² = 81 + 225 = 306
hence the equation is
x² + y²+16y+64 = 306
x² + y² + 16y - 242 = 0
a shoe box measures 15 in. by 7 in. by 4 1/2 in. What is the surface area of the box?
Answer:
408 in²
Step-by-step explanation:
Given in the question that,
length of a show box = 15 in
width of a show box = 7 in
height of a show box = 4.5 in
Formula to calculate the surface area of shoe box is as following
2*(L*W + L*H + W*H)Plug values in the formula
2*(15*7 + 15*4.5 + 7*4.5)
2(105 + 67.5 + 31.5)
408 in²
The surface area of the box = 408 in²
How do I find AB. of a triangle on a graph?
If you are looking for a line measurement then I suggest using the distance formula. Which is [tex]\sqrt({x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Ian invested $1,315 in a savings account which earns 2.86% interest compounded quarterly. What will the account be worth in nine years
Answer:
In 9 years, the account will be worth $1699.48
Step-by-step explanation:
Compound interest is interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. Ian invested $1.315 in savings account which earns 2.86% interest compunded quaterly.
The ammount of money the account will be worth is given by the formula:
[tex]A = P(1 + \frac{[\frac{r}{4}}{100} )^4n[/tex]
where r: Rate of annual interest = 2.86%
n: the number of years = 9
P= Principal ammount = $1315
Then A= $1699.48
What is the slope of the line that passes through the pair of points (3,-4) and (5,-7).
A. 2/3
B. -2/3
C.-3/2
D. 3/2
The correct answer is C. -3/2
A car rental company charges an initial fee plus a constant fee per kilometer driven.
The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).
What is the cost of each kilometer driven?
Answer:
The cost of each kilometer driven is $0.6
Step-by-step explanation:
Let
x ------> the total distance driven on the trip (in kilometers)
y -----> the price of the rental (in dollars)
we have
(110,186) and (170,222) ----> see the table
step 1
Find the slope of the linear function
m=(222-186)/(170-110)
m=36/60
m=0.6 $/km
The slope of the linear equation is equal to the unit rate
so
The cost of each kilometer driven is $0.6
Answer:$120
Step-by-step explanation: