The cost of one taco is $2, while the cost of one fountain drink is $3.
What are the system of equations that represent the question?
2t + 3f = $13 equation 1
4t + 2f = $14 equation 2
Where:
t = number of tacos bought f = number of drinks boughtHow many drinks were bought?Multiply equation 1 by 2:
4t + 6f = 26 equation 3
Subreact equation 2 from equation 3
4f = 12
Divide both sides by 4
f = 12 / 4
f = $3
How many tacos were bought?
Subsistute for f in equation 1
2(t) + (3 x 3) = $13
2t + 9 = 13
2t = 13 - 9
2t = 4
t = 4/2
t = $2
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Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.
This number is _____.
A. Natural
B. Irrational
C. An integer
D. Rational
Answer:
D. Rational
Step-by-step explanation:
A rational number is any number that can be written as a decimal or a fraction.
Hope it helped!
SIMPLE ALGEBRAICE FRACTIONS
A computer shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of both types of mice is $433, find the number of type A mice displayed.
There are 31 type A mice and 19 type B mice in the computer shop costing about $433.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the type A and b represent the type B, hence:
a + b = 50 (1)
Also:
6a + 13b = 433 (2)
a = 31, b = 19
There are 31 type A mice and 19 type B mice in the computer shop costing about $433.
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What is the area of the figure?
Step-by-step explanation:
take the rectangle as whole with dimensions 16*8
area = 128 in^2
area of rectangle of dimensions 10*2 =20
required area = 108 in^2
The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of the rectangle?
Explain or show work please
Step-by-step explanation:
Set the parameters,
Let the width be 'X' inhes
Therefore,
Length = "5X" inches
According to the given condition,
Perimeter = sum of the sides = 2(l+b) = 40 inches,
Equation = 2(5X+X) = 40
2(6X) = 40
12X= 40
X= 3.33
Therefore,
Width = X = 3.33 inches
MARK ME AS BRAINLISTAn equation has solutions of m = –5 and m = 9. which could be the equation? (m 5)(m – 9) = 0 (m – 5)(m 9) = 0 m2 – 5m 9 = 0 m2 5m – 9 = 0
An equation is formed of two equal expressions. The equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As it is given that the solution of m is -5 and 9. Therefore, the equation which will represent the solution of m as -5 and 9 is
(m+5)(m-9)=0
Hence, the equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.
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I NEED THIS ASAP…. mathematician simplifies the expression mentally.
12(-72) +41(-3-32)
What is the best estimate of the value of the expression?
А
-2,100
B
-700
C 700
D D 2,100
Answer:
The answer is exactly -2,299. But since this is a mental math question it's okay if it's not the exact answer. The answer would be "A"
.......................
8x + y = -16
-3x + y = -5
Answer:
Graph= (-1,-8)
y= -8
x=-1
Step-by-step explanation:
HELP! WILL GIVE BRAINLEST!
Answer:
option c
Step-by-step explanation:
pi/2 is the answer
16. Higher Order Thinking
a. Find the value of x given that rls.
m21 = (63 - x)º
m22 = (72 - 2x)
2
b. Find mz1 and m22.
Answer:
[tex]\red{ \bold{m \angle \: 1 = 54 \degree}} \\\: \purple{ \bold{m \angle \: 2 = 54 \degree}} [/tex]
Step-by-step explanation:
[tex](a) \: \: \: \\ r || s \: \: \: (given) \\ \implies \: m \angle \: 1 = m \: \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: (63 - x) \degree = (72 - 2x) \degree \\ \implies \: 63 - x = 72 - 2x \\ \implies \: 2x - x = 72 - 63 \\ \implies \: \huge \orange{ x = 9} \\ \\ (b) \\ m \angle \: 1 = (63 - x) \degree \\ \implies \: m \angle \: 1 = (63 - 9) \degree \\ \implies \: \red{ \bold{m \angle \: 1 = 54 \degree}} \\ \implies \: \purple{ \bold{m \angle \: 2 = 54 \degree}} \\ ( \because \: m \angle \: 1 = m \: \angle \: 2)[/tex]
For every $1 increase in the price per scarf, Sofie's profit changes by an average of $
Answer:
True, because if price changes, dod oes average of money. So if you get 5 bucks per 10 scarfs, you'll get 5.50$ for 11 scarfs
Step-by-step explanation:
Lets just say she gets half of what the actual cost is. In total.
Answer:
This is true
Step-by-step explanation:
A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?
A) 0.9527
B) 0.9178
C)0.4554
Answer:
0.9527
Step-by-step explanation:
Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay
The binomial probability for getting at least 4 successes is 0.955
What is binomial probability?The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.
Binomial probability formula[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]
Where,
P is the binomial probability
x is the number of times for a specific outcomes within n trials
[tex]nC_{x}[/tex] is the number of combinations
p is the probability of success in a single trial
q is the probability of failure on a single trial
n is the number of trials
Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.
And let x be a random variable denoting the number of success.
According to the given question.
We have
[tex]p = 0.85[/tex]
⇒[tex]q = 1- 0.85 = 0.15[/tex]
Also,
n = 6
Therefore,
The binomial probability of getting at least 4 success
[tex]=P(x\geq 4)[/tex]
[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]
[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]
[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]
[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]
[tex]=0.165+0.396+0.4\\=0.955[/tex]
Hence, the binomial probability for getting at least 4 successes is 0.955
Thus, option A is correct.
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PLSSS HELP IF YOU TURLY KNOW THISS
[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]
[tex] \frac{1}{3} \\ [/tex]
Thus the true answer is option A .
Write a paragraph describing your zipline. Include the 5 components below. * Zipline's Name *Setting *Description of point A and how the zipliner would get to that height. (climbing ladder , higher ground , etc) Zipline Safety Landing (How would the zipliner land safely? Stop block, brakes, etc) *Names of Three Locations for points A, B and C. The zipliner will move through these 3 locations marked by these 3 points. A:(5, 25), B / (65, 19) and C: (105, 14) .
Answer:
A
Step-by-step explanation:
because it A because I can done that fast
help please
A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram.
a) 90cm3
b) 208cm3
c) 29cm3
d) 480cm3
Answer:
The answer is d) 480cm³
Step-by-step explanation:
3 x 10 x 16 = 480cm³
how to turn 6/2 into proper fraction
Hey there!
6/2
= 6 ÷ 2 / 2 ÷ 1
= 3 / 1
= 3 ÷ 1
= 3
Therefore, your answer should be:
3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
MATH
THIS
IS URGENT PLS
3a. Area = 2 (5×7 + 5×3 + 7×3)
3b. Area = 2 (6×6 + 6×5 + 6×5)
3c. Area = 2 (6.5×10 + 6.5×3 + 3×10)
4a. Area = 2(1/2 × 4 × 6) + 2(7×5) + 7×6
4b. Area = 2(1/2 × 6 × 6) + 2(10×8.5) + 10×6
4c. Area = 2(1/2 × 10.2 × 3.6) + 15×8.3 + 15×4.5 + 10.2×15
Complete the equation so that it has solutions of –5 and 7. x2 x = 0
The equation it has solutions of –5 and 7 is x^2-2x-37=0
We have equation
solutions of equation are –5 and 7.
We have to find complete the equation.
We have given that solutions of the equation are -5, 7.
The standard form of a quadratic equation.
What is the factor of the quadratic equation?
[tex](x -\alpha) (x- \beta)[/tex]
Where we have
[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]
So, roots are
[tex]( x- (-5)) (x-7)[/tex]
[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]
[tex]p = -2 and q = -35.[/tex]
On substituting p and q in equation
[tex]x^2+(-2)x-37=0[/tex]
[tex]x^2-2x-37=0[/tex]
Therefore,x^2-2x-37=0 is the equation of solution -5,7.
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Answer:
-2, -35
Step-by-step explanation:
Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)
Answer:
The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:
2 + 2x + 7 + x + 2 = 20
Solve for x by combining like terms;
(2 + 7 + 2) + (2x + x) = 20
Which simplifies to;
11 + 3x = 20
Get rid of constants;
-11 -11
3x = 9
Isolate x by getting rid of it's coefficient;
/3 /3
x = 3
Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.
x + 2
3 + 2
= 5 inches.
Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.
2x
2(3)
= 6 inches.
30 points Helppppp!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answer:
please see photo above for details
Paul's skateboarding competition will start at 11:30 a. M. , but the competitors
must arrive at the skate park three-quarters of an hour early to warm up. The
competition must end by 1:30 p. M.
Paul says he has to be at the skate park at 9:30 a. M. Is Paul correct? Explain
your answer.
Answer:
No, Paul is not correct.
Step-by-step explanation:
The competition starts at 11:30am. 9:30am is 2 hours before.
1/4 of an hour is 15 minutes, 1/2 an hour is 30 minutes, 3/4 of an hour is 45 minutes
So, Paul needs to get there 45 minutes before the 11:30am start time.
Paul needs to get there at 10:45am
What is the area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn? (2π 28) mm2 (2π 32) mm2 (2π 40) mm2 (2π 48) mm2
The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².
What is the area of the semicircle?The area of a semicircle is the space contained by the circle. The area is the number of square units enclosed by the sides of the shape.
The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is given by adding an area of MKCD , area of ABCD, area of a semi-circle with AB as diameter.
Area of the composite figure = area of MKCD + area of ABCD + area of a semi-circle with AB as diameter.
The area of the composite figure is;
Area A = (DC + MK)/2 × DN + AB² + (1/2)×π×2²
Area A = (4 + 8)/2 × 4 + 4² + (1/2)×π×4
Area A = 24 + 16 + 2π = (2π + 40) mm²
Hence, the area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².
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pls answer this question for me
Answer:
160 bottles of water
Step-by-step explanation:
Because c stands for how many cases of water she orders, you replace c in the equation b = 20c with 8. It would then be b = 20(8) which would be b = 160. Because b stands for the total number of bottles, that means the total number of bottles is 160.
Which of the following statements correctly describes the items shown below?
A. Both functions are increasing and have different rates of change.
B. Both functions are increasing and have the same rates of change.
C. Both functions are decreasing and have the same rates of change.
D. Both functions are decreasing and have different rates of change.
What is the exact circumference of the circle?
•
10T ft
•
20T ft
•
40T ft
60r ft
Answer:
60r ft
Step-by-step explanation:
If it is wrong correct me if it is correct pls mark me as brainliest pls
WHat is the angle of the rotation of the following figure?
Answer:
I pretty sure it's 45 degrees from the information that you gave me.
Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.
Find the median and mean
40, 4, 12, 15, 45, 16
Answer:
15.5 is the median.
The mean of the data is 22
Step-by-step explanation:
First, the median of a data set is found by sorting the numbers in order, from least to greatest. Then you count inwards one at a time on both sides until you reach a center number.
4 , 12, 15, 16, 40, 45
12, 15, 16, 40
15, 16
15.5
This means, 15.5 is the median
Next, to find the mean, you add up all the numbers and divide it by however many numbers there are. In this case there are 6 numbers, so we divide the total by 6.
40 + 4 + 12 + 15 + 45 + 16 = 132
132 / 6 = 22
The mean of the data is 22
Answer:
Mean: 22
Median: 15.5
Step-by-step explanation:
hope this helps :)
How many ways are there to write 10 to the power of 7? How many ways are there to write 10 to the power of 8? Please, I need help.
What’s the distance between (-5,-3) and (-2,11)
Answer: 14.3178210633
Step-by-step explanation: d=√((x_2-x_1)²+(y_2-y_1)²)
Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?
Answer:
244 miles (nearest whole number)
Step-by-step explanation:
We can model this as a geometric series.
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common difference)
Given information:
Miles run in first week = 8Weekly increase of miles = 5%Total number of weeks in plan = 19Therefore:
[tex]a[/tex] = 8[tex]r[/tex] = 1.05[tex]n[/tex] = 19Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, sum of the first 19 terms:
[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]
[tex]\implies S_{19}=244.3120313...[/tex]
So Levi ran a total of 244 miles (to the nearest whole number)