Number of sold cappuccinos will be 60.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
A coffee shop sells lattes for $4 and cappuccinos for $3.
Last Friday, they sold 78 drinks for a total of $252.
Now,
Let number of lattes = x
Number of cappuccinos = y
Since, Last Friday, they sold 78 drinks.
So, we can formulate;
x + y = 78 ... (i)
And, Last Friday, they sold 78 drinks for a total of $252.
So, we can formulate;
4x + 3y = 252 ... (ii)
Solve equation (i) and (ii) we get;
x + y = 78
4x + 3y = 252
Multiply by 4 in equation (i) and subtract from (ii) we get;
4x + 3y - 4x - 4y = 252 - 312
- y = - 60
y = 60
And, x + y = 78
x + 60 = 78
x = 18
Thus, Number of sold cappuccinos will be 60.
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need help on proportions question urgently!!!!!!
Answer:
SSS~
RQP
Step-by-step explanation:
36/15 = 2.4
48/20 = 2.4
72/30 = 2.4
Triangles are similar by SSS~.
triangle JKL is similar to triangle RQP
solve please :3 will mark brainliest !!
__________
[tex] \: [/tex]
6f = $15
8f = $20
10f = ?
Soo :
2f = 5
f = 2,5
10f = 10(2,5) = $25✔
The cost of the wire of the third length in the table is, 25 dollars
We have to give that,
The cost of a certain type of wire varies directly with its length.
Now, From the table the equation between cost and length is,
y - 15 = (20 - 15)/(8 - 6) (x - 6)
y - 15 = (5/2) (x - 6)
y - 15 = 2.5x - 15
y = 2.5x
Where y represents the cost and x represent the length.
Hence, At x = 10 feet
y = 2.5 (10)
y = 25 dollars
So, The cost of the wire is, 25 dollars
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Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal
Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425
Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).
How do you solve fractions step by step?
Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10
a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.7/1 = 7/10
Note: 7/10 is called a decimal fraction.
c) Simplify and reduce the fraction
7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1
Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus four minus seven tenths = minus forty-seven tenths.
Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.
Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.
what’s the value of 5%
Answer:
0.05 in decimal form
Step-by-step explanation:
I don't know if you accidentally left something out but if you did I can edit my answer or put the answer in the comments.
The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.
Answer:ce 6x^2=216
Step-by-step explanation:
since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216
One day, while going to her office, Suchitra has to go to her son's school to attend PTM. Then she worked
in the office and left early as some guests are arriving at her house in the evening. She went to the bank after
the office and then to the shop to purchase some groceries to welcome the guests. The route of Suchitra has
been shown in the Cartesian plane in the figure below. The location of Suchitra's house in Cartesian plane is
10.-4).
of the chane
Which equations have the same pair of solutions? Select all that apply.
n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0
Solve for x: 16 = x + 32
Answer:
-16
Step-by-step explanation:
Use everyone's favourite thing: ALGEBRA!!!
16=x+32
16-32=x
-16=x
Hope that helps
Step-by-step explanation:
16=x+32
16-x=32
-x=32-16
-x=16
X=-16
If the spinner shown is spun 40 times,predict the number of times the spinner would land on section A. Give the number of times only
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
Which statement about the slope of a line is true?
Answer:
wheres the line
Step-by-step explanation:
Can someone help me with number 8 :(
Answer:
a1=5
d=9-5=4
a20=5+19×4=81
A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
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i need some frikin help on equations like this 4x>2 i used to do questions like this 4x=2 (basically one step equations) im just really confused
Answer:
x>1/2
Step-by-step explanation:
4x>2
4x/4
2/4
x>2/4
2/4 divided by 2= 1/2
x>1/2
x²+10+7=0 by completing the square
Answer:
x=−5+3–√2
x=−5−3–√2
Step-by-step explanation:
Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day
Answer:
28$
Step-by-step explanation:
She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.
i need serious help guys!!!!!!
Answer:
b.
Step-by-step explanation:
HELP ME ASAP!!!!!!!!!!!!!!!!!
Answer:
good luck i need to conquer europe
translate seven minus three times a number into an algebraic expression
[tex]\sf 19=7x-2x[/tex]
Answer:
[tex]3\dfrac{4}{5}[/tex]
Step-by-step explanation:
19 = 7x - 2x
19 = (7 - 2)x
19 = 5x
Divide both side by 5
19/5 = x
[tex]x=3\dfrac{4}{5}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is equal to ~
[tex] \boxed{3.8}[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]19 = 7x - 2x[/tex][tex]5x = 19[/tex][tex]x = 19 \div 5[/tex][tex]x = 3.8[/tex]Como parte de un ejercicio topográfico, Salma debe hacer un registro del terreno donde está construido el Taj Mahal que es de 580m de largo x 300m de ancho. Y suponiendo que 9 ayudantes trabajarán junto con ella, ¿cuántos metros cuadrados le toca registrar a cada quién POR DÍA durante un mes? Supongamos que el mes tiene 30 días.
cual es la respuesta? porfa urge
Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.
Veremos que cada integrante debe registrar 580m^2 por día.
La informacion que se nos da es:
Sabemos que los integrantes son 10, Salma y sus 9 ayudantes.El área que deben investigar esta dada por: 580m*300m = 174,000 m^2Disponen de un total de 30 días para trabajar.Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:
a = 174,000 m^2/10 = 17,400 m^2
Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:
d = a/30 = 17,400 m^2/30 = 580m^2
Eso es lo que cada integrante debe registrar por día,
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Please help meh i dont know the answer
Answer:
3 inches
Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.
A square also have the same length for all 4 sides.
So each side of the square is 6cm, to find the perimeter you do 6*4=24.
then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8
so each side of the triangle will be 8cm
please please please help PLEASE PLEASE
Step-by-step explanation:
refer to the picture.. hope this helps :)
There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?
Answer:
Answer=69
Step-by-step explanation:
8% of 75=6
75-6=69
This morning, Sarah's team started at zero and earned 5 points for perfect attendance. The team lost 10 points for disruptive behavior at lunch. Write an addition equation to describe how many points Sarah's team earned. Give the
sum.
((((40 - -30) x (20 +15 - -2))+14)/2)-40
100 points pls help
Step-by-step explanation:
1262 enjoy brainliest appreciated
PLS PLS PLS HELP ME!??(
Answer:
I asked this same question and I got this answer
Step-by-step explanation:
g (x) = 2x7x24 = 336
I'm not sure bc I asked the same question and got this answer from someone...
Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
347.9 to the nearest whole number
Answer:
348.
Step-by-step explanation:
I need a answer PLEASE
Answer:
it's the third one. x=47/3
Step-by-step explanation:
if needed in decimal form: 15.666
mixed number form: 15 2/3
