A pizza buffet has prepared 18 pizzas to place on the line at the beginning of lunch at 11:00 a.M. The equation y 14x + 18 can be used to describe the total number of pizzas that have been placed out on the buffet line, where x represents every 9 minutes after 11:00 a.M. Which statement best describes the rate of change in the number of pizzas set out on the buffet?
Answer: b. Every 18 minutes, 28 more pizzas were set out on the buffet.
Step-by-step explanation:
The equation is in the form: y = mx + c
m is the gradient which represents the rate of change per a given value of x.
x here is every 9 minutes after 11:00. Every 18 minutes therefore will give x a value of 2 because 18/9 = 2.
The rate of change every 18 minutes is therefore;
= 14 * 2
= 28 pizzas
96 words typed in 3 minutes; 160 words typed in 5 minutes
Answer:
32 words per minute
Which choice is an irrational number?
Answer:
C. [tex]\sqrt{18}[/tex]
Step-by-step explanation:
[tex]\frac{4\pi }{\pi }[/tex] = 4(whole number)
[tex]\sqrt{ 6^{2}}[/tex] = 6(whole number)
[tex]\sqrt{18}[/tex] = 4.2426406871192851464050661726291(goes on and on)
21.989(terminating number)
Irrational numbers are un-whole numbers that do not terminate and cannot be turned into a fraction.
The irrational number number in the options is C. √18.
What are Rational and Irrational Numbers?Rational numbers are numbers which can be written in the form of a/b, b ≠ 0, and a and b are integers.
Irrational numbers cannot be written in this form.
Given options are 4π/π, √(6²), √18 and 21.989.
4π/π can be written as 4, which is a whole number and thus a rational number.
So, 4π/π is a rational number.
√(6²) = 6, which is also a rational number since it is a whole number.
√18 does not have a decimal which is ending.
So it is an irrational number.
21.989 has only 3 decimal places and can be written as 21989/1000 and is thus a rational number.
Hence the correct option is C.
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Enter the sum in simplest form. pls answer I give brainliest
Answer:
2/5
Step-by-step explanation:
2/10+2/10=4/10
4/10 divided by 2/2= 2/5
Hope this helps!
Answer;
2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.
2/10 + 2/10 = 4/10
4/10 = 2/5
Hope this Helps!
Easy Cooking is a cooking supply company. This year, the company sold 22,169 ovens.
According to a report prepared by the sales team, that is 30% fewer than they sold last year.
How many ovens did they sell last year?
I need it worked out please
Answer:
34 is the asnwer congruent thats why.
Step-by-step explanation:
Fiona, Peter and Angad share some sweets in the ratio 5:4:3. Fiona gets 22 more
sweets than Angad. How many sweets does Peter get?
Answer:
44
Step-by-step explanation:
Given that:
Fiona, Peter and Angad share some sweets in the ratio 5:4:3. Fiona gets 22 more
sweets than Angad. How many sweets does Peter get?
5 : 4 : 3
Total ratio = (5 + 4 + 3) = 12
Let total number of sweets = x
For Fiona :
(5 / 12) * x = 5x / 12
Peter :
(4 / 12) * x = 4x / 12
Angad:
(3 / 12) * x = 3x / 12
Sunce, Fiona gets 22 more Than Angad ;
Then;
5x / 12 = 22 + 3x /12
5x/12 = 22 + 3x/12
5x/12 - 3x/12 = 22
(5x - 3x) / 12 = 22
2x / 12 = 22
2x = 22 * 12
2x = 264
x = 132
Hence, total number of sweets = 132
Peter's share = (4x / 12) = (4 * 132) / 12 = 528/12 = 44
Peter got 44 sweets
solve. show all work please.
Answer:
8 hours
Step-by-step explanation:
In the problem, it gives you the formula: d=rt, and in the rest of the problem it gives you the distance and the rate, so all you have to do is plug the numbers in and solve.
360m = 45mph(t)
Isolate the variable by dividing 360 by 45
360/45 = t
8 = t
This means that it will take 8 hours to travel 360 miles at a rate of 45 miles per hour.
Hope this helps :)
X/5=y/3 and 12/y=4/5 what does x equal and what does y equal and how?
Final Answer: [tex]x = \frac{5y}{3}[/tex], [tex]y = 15[/tex]
Steps/Reasons/Explanation:
Question: [tex]\frac{x}{5} = \frac{y}{3}[/tex] and [tex]\frac{12}{y} = \frac{4}{5}[/tex]. What does [tex]x[/tex] equal and what does [tex]y[/tex] equal and how?
Solving for [tex]x[/tex] in the equation [tex]\frac{x}{5} = \frac{y}{3}[/tex].
Step 1: Multiply both sides by [tex]5[/tex].
[tex]x = \frac{y}{3} * 5[/tex]
Step 2: Simplify [tex]\frac{y}{3} * 5[/tex] to [tex]\frac{y * 5}{3}[/tex].
[tex]x = \frac{y * 5}{3}[/tex]
Step 3: Regroup terms.
[tex]x = \frac{5y}{3}[/tex]
Solving for [tex]y[/tex] in the equation [tex]\frac{12}{y} = \frac{4}{5}[/tex].
Step 1: Multiply both sides by [tex]y[/tex].
[tex]12 = \frac{4}{5}y[/tex]
Step 2: Simplify [tex]\frac{4}{5}y[/tex] to [tex]\frac{4y}{5}[/tex].
[tex]12 = \frac{4y}{5}[/tex]
Step 3: Multiply both sides by [tex]5[/tex].
[tex]12 * 5 = 4y[/tex]
Step 4: Simplify [tex]12 * 5[/tex] to [tex]60[/tex].
[tex]60 = 4y[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]\frac{60}{4} = y[/tex]
Step 6: Simplify [tex]\frac{60}{4}[/tex] to [tex]15[/tex].
[tex]15 = y[/tex]
Step 7: Switch sides.
[tex]y = 15[/tex]
~I hope I helped you :)~
What is the value of x in the proportion? 2/5=x/21-x
Answer:
6
Step-by-step explanation:
Hope it can help you.........
please help me with this its due tonight
Answer:
y= -1/3x-4
y=2x+2
Step-by-step explanation:
the slope is rise over run
Find the value of each variable 16-21
Answer:
16. [tex]x = 80^\circ[/tex]
17. [tex]x = 55, y =70, z = 55[/tex]
18. [tex]x =8, y =3[/tex]
19. [tex]r = 66^\circ[/tex], [tex]t = 73^\circ[/tex]
20. [tex]y = 70^\circ, x = 55^\circ[/tex]
21. [tex]x =56^\circ, y = 62^\circ[/tex]
Step-by-step explanation:
16. Side [tex]AB = AC[/tex]
So, the opposite angles of the triangle will also be equal.
[tex]\angle B =\angle C = 50^\circ[/tex]
Using triangle sum property, angle of all the internal angles of a triangle is equal to [tex]180^\circ[/tex].
[tex]50+50+x = 180\\\Rightarrow x = \bold{80^\circ}[/tex]
17. Two sides are given as equal, [tex]x = z[/tex]
Angles on a straight line are always equal to [tex]180^\circ[/tex].
So,
[tex]x + 125 = 180\\\Rightarrow x = 55[/tex]
[tex]z = 55[/tex]
Using triangle sum property, angle of all the internal angles of a triangle is equal to [tex]180^\circ[/tex].
[tex]55+55+y = 180\\\Rightarrow y = \bold{70^\circ}[/tex]
18. All the angles are given equal to each other, therefore all the sides of the triangle will also be equal to each other.
[tex]4x+7 = 13y =39[/tex]
[tex]13y = 39\\\Rightarrow y = 3[/tex]
[tex]4x +7 = 39\\\Rightarrow 4x = 32\\\Rightarrow x = 8[/tex]
19. Two sides are given equal to each other, therefore angles opposite to them will be equal.
Using the triangle sum property in the left triangle:
[tex]r + 57 + 57 = 180\\\Rightarrow r = 66^\circ[/tex]
Using the property that vertically opposite angles are equal and the triangle sum property in the right triangle.
[tex]t+50+57 = 180 \\\Rightarrow t = 73^\circ[/tex]
20. All the sides are given equal to each other.
So, all the angles will be equal to [tex]60^\circ[/tex].
[tex]y - 10 = 60\\\Rightarrow y = 70^\circ[/tex]
[tex]x+5=60\\\Rightarrow x = 55^\circ[/tex]
21. Angles on a straight line are always equal to [tex]180^\circ[/tex].
Angles opposite to equal sides in a triangle are also equal.
[tex]118 + y = 180\\\Rightarrow y = 62^\circ[/tex]
Using triangle sum property:
[tex]x+2y = 180\\\Rightarrow x = 180 - 124 = \bold{56^\circ}[/tex]
please help with this answer I don't understand it
Answer:
Step-by-step explanation:
the 1st one is 1735
The 2nd one is 1573
HELP ASAP PLEASE!! I WILL MARK YOU AS BRAINLIEST
Answer: A
Step-by-step explanation:
how would i graph y=-3x+4
Answer:
Easy Question
Step-by-step explanation:
First we graph the slope that is 3x them he look for the 4 that will be our y intercept
Answer:
Step-by-step explanation:
a box contain 5 white,2 red, 3 blue and 5 yellow marbles. what is the probality of getting: (i) a red marbles (ii) a yellow marbles
total number of marbles= 5+2+3+5 = 15 marbles
probability of a red marble - 2/15
probability of yellow marble - 5/15 = 1/3
Answer:
i) 2/15 ii) 1/3
Step-by-step explanation:
the number of marbles all together is 15
2 out of the 15 are red, so 2/15
5 out of 15 are yellow,so 5/15, simplified to 1/3
how many quarts are in 10 cups
Answer:
10 cups is 2.5 quarts
Answer:
2 1/2.
Step-by-step explanation:
Four quarts in a gallon, four cups in a quart, 16 oz in a cup, 8 oz in half a cup.
Brainliest?
What is the 13th square number?
Answer:
169
Step-by-step explanation:
hope this will help you
what number does b stand for in this equation
Line r has a slope of -5/2 line s has a slope of 2/5 are line r and line parallel or perpendicular
The average height of 3 boys was 156cm. When a girl joined them, the average height of the 4 children was 153cm. How tall was the girl?
Answer:
The girl was 144cm tall
Step-by-step explanation:
Total height of the three boys=3×156=468
Total height of the four children=4×153=612
Height of the girl=612-468=144cm
The average height of 3 boys was 156cm. Therefore, The girl was 144cm tall.
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
The average height of 3 boys was 156cm.
When a girl joined them, the average height of the 4 children was 153cm.
Total height of the three boys = 3 × 156 = 468
Total height of the four children = 4 × 153 = 612
Height of the girl = 612 - 468 = 144cm
Hence, the girl was 144cm tall.
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Solve 0.5(4x−8)+11=0.25(12x+20)−5
x=
I'LL GIVE BRAINLIEST IF YOU HAVE AN EXPLAINATION
Given:
[tex]0.5(4x-8)+11=0.25(12x+20)-5[/tex]
To find:
The value of x.
Solution:
We have,
[tex]0.5(4x-8)+11=0.25(12x+20)-5[/tex]
Using distributive property, we get
[tex]0.5(4x)+0.5(-8)+11=0.25(12x)+0.25(20)-5[/tex]
[tex]2x-4+11=3x+5-5[/tex]
[tex]2x+7=3x[/tex]
Subtract 2x from both sides.
[tex]7=3x-2x[/tex]
[tex]7=x[/tex]
Therefore, the value of x is 7.
Can someone help me with all these? .
How much interest is earned on a principle of $864.27 invested at an interest rate of 8% for 3 years? Round to the nearest cent
Answer:
the interest =20.74
whereas the total sum=8850(the sum is the nearest cent)
HOPE IT HELPS YOUhow to add 59.5 +30 show process of adding it
Answer:
89.5
Step-by-step explanation:
59.5
30.0
89.5
Alfredo gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends?
Group of answer choices
15
60
56
33
I believe it would be 60, 60 is the only multiple for 6.
Find the unit rate.
Round to the nearest hundredth, if necessary.
$170 for 12 ft2
How many district are there in Nepal?
77.
What are the slope and the y-intercept of the linear function that is represented by the table?
х
3
4
у
1
30
NIE
에 <
2
23
15
1
4
13
30
CON
3
5
1
The slope is
2
5
and the y-intercept is -
1
2
The slope is, and the y-intercept is 5.
Answer:
Slope is -2/5 and y-intercept is -1/3
Step-by-step explanation:
To get the slope, we pick any two points and apply the slope formula
The slope formula is;
m = (y2-y1)/(x2-x1)
To get the slope, we select any two points
That will be;
(-3/4, -1/30) and (1/4,-13/30)
Substituting these in the slope formula, we have:
m = (-13/30 + 1/30)/(1/4 + 3/4)
m = 12/30 = -2/5
Generally, the equation of a straight line is;
y = mx + b
m is slope and b is the y-intercept
We already have the slope, to get the y-intercept, we select any of the points
-3/5 = -2/5(2/3) + b
= -3/5 + 4/15 = b
b = (-9 + 4)/15 = -5/15 = -1/3
Slope is -2/5 and y-intercept is -1/3
Answer:
A
Step-by-step explanation:
The slope is -2/5, and the y-intercept is -1/3.
Assume that y varies directly with x. If y = -5 when
X = 12.5, find x when y=15. Enter in any fractions
using a / (e.g. "1/2" is the same as 1/2
Answer:
Thus, the value of x = -36 when y = 15
Step-by-step explanation:
We know that if y varies directly with x, we can express the relationship such as
y ∝ x
y = kx
k = y/x
where 'k' is called constant of variation.
Given
y = -5
x = 12
Using the equation
k = y/x = -5/12
Thus, the value of k = -5/12
Finding x when y = 15
y = 15
k = -5/12
substituting y = 15 and k = -5/12 in the equation
y = kx
15 = -5/12 (x)
15×12 = -5x
180 = -5x
divding both sides by -5
-5x/-5 = 180/-5
x = -36
Thus, the value of x = -36 when y = 15
There are 3 green and 5 red jelly beans in a stocking. You randomly choose one of the jelly beans. What is the probability of selecting a red jelly bean?
Answer: 5/8
Step-by-step explanation:
Number of green jelly beans = 3
Number of red jelly beans = 5
Total number of jelly beans = 3 + 5 = 8
The probability of selecting a red jelly bean would be:
= Number of red jelly beans /:Total number of jelly beans
= 5/8
For which pair of numbers is 7 the greatest common factor (GCF)?
O
A 16 and 63
В.
21 and 49
C. 28 and 60
O
D. 42 and 88
P.S HELP!!!! PLZ!!!!!! ASAP!!!
Answer:
B cuz both can be divided by 7