Answer:
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Step-by-step explanation:
Let
Cheryl's age = x
Rita's age = y
Two years ago, Rita was three times older than Cheryl
(y - 2) = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
= 3x - 4
y = 3x - 4
In 3 years, Rita will be twice older than Cheryl
(y + 3) = 2(x + 3)
y + 3 = 2x + 6
y = 2x + 6 - 3
= 2x + 3
y = 2x + 3
Equate both equations
3x - 4 = 2x + 3
Collect like terms
3x - 2x = 3 + 4
x = 7 years
Substitute x = 7 into
y = 2x + 3
= 2(7) + 3
= 14 + 3
= 17
y = 17 years
Cheryl's age = x = 7 years
Rita's age = y = 17 years
which is greater 8.7 or 8.5
8.7 is greater than 8.5 because the 7 is more than the 5 and the number 5 is less. Hope this helps :)
A recipe calls for 4 cans of 12.6 oz of chicken broth. how many ounces of chicken broth does the recipe require? A. 3.15. B. 8.6 C. 16.6 D 50.4
Answer:
50.4
Step-by-step explanation:
Answer:
Yes, The correct answer is 50.4 oz
Step-by-step explanation:
Use the drop-down menus to complete the paragraph
proof showing that alternate interior angles are
congruent.
We know that lines a and b are parallel and that line c
is a transversal because that is given. We can tell that
angles 2 and 5 are congruent because
V angles are congruent. Angles 5 and
7 are congruent because
angles by
parallel lines cut by a transversal are congruent.
Therefore, angles 2 and 7 are congruent based on the
Answer:
vertical
corresponding
transitive property
Step-by-step explanation:
hope this helps you :)
{6 + [(3 * 2) - (2 * 2)]} ÷ 2
Find the distance between the points (0, 2) and (4, 5).
Answer:
it's going to be 5
Step-by-step explanation:
I only paid $69.65 for my new helmet as it was on sale for 30% off! How much would I have paid if it wasn't on sale?
Answer: $48.76
Step-by-step explanation:
69.65 * .30 = 20.89
69.65 - 20.89 = 48.76
Answer:
I think it is 90.545
Step-by-step explanation:
It may or may not be correct btw
What is the Product of Roots of 2x^2+4x+7=0?
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ), then
the product of the roots = [tex]\frac{c}{a}[/tex]
2x² + 4x + 7 = 0 ← is in standard form
with a = 2, c = 7 , thus
product of roots = [tex]\frac{7}{2}[/tex]
Answer:
x=[tex]\frac{-2±\sqrt[i]{10} }{2}[/tex]
Step-by-step explanation:
pls ignore the "A" after -2! i hope this helps <3
Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs
$2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he
likes comes in boxes that each cost $11.50.
Let S represent the number of boxes of sugar Alonso buys.
1) Which inequality describes this scenario?
Choose 1 answer:
2.75 + S < 55
2.75 +S > 55
2.75 + 11.50S < 55
(D
2.75 + 11.50S > 55
Answer:
2.75 + 11.50S < 55
Step-by-step explanation:
eggs + (sugar(quantity)) must be less than available money
2.75 + 11.50S < 55
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
***(just need equations)***
Answer:
Madelyn bought 2 bags of popcorn and 8 pretzels.
Step-by-step explanation:
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of pretzels}
the number of pretzels
One bag of popcorn costs $6.50, so xx bags of popcorn cost 6.50x.6.50x. One pretzel costs $3.25, so yy pretzels cost 3.25y.3.25y. The total 6.50x+3.25y6.50x+3.25y equals \$39:$39:
6.50x+3.25y=39
6.50x+3.25y=39
Since Madelyn bought 4 times as many pretzels as bags of popcorn, there are more pretzels, so if we multiply 4 by the number of bags of popcorn, we will get the number of pretzels, meaning yy equals 4x.4x.
y=4x
y=4x
\underline{\text{Write System of Equations:}}
Write System of Equations:
6.50x+3.25y=
6.50x+3.25y=
\,\,39
39
y=
y=
\,\,4x
4x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
6.50x+3.25y=39
3.25y=−6.50x+39
3.25
3.25y
=
3.25
−6.50x+39
y=−2x+12
y=4x
0
the number of bags of popcorn
the number of pretzels
x
y
(2, 8)
0
the number of bags of popcorn
the number of pretzels
The xx variable represents the number of bags of popcorn and the yy variable represents the number of pretzels. Since the lines intersect at the point \left(2, 8\right)(2,8) we can say:
Madelyn bought 2 bags of popcorn and 8 pretzels.
Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply.
a reflection over the x-axis and then a reflection over the y-axis
a reflection over the y-axis and then a reflection over the x-axis
a 90degree clockwise rotation about the origin and then a 90degree counterclockwise rotation about the origin
a translation 6 units right and then a reflection over the x-axis
a translation 4 units down and then a reflection over the y-axis
Answer:
The answer is (a) and (b).
Step-by-step explanation:
Just took the unit test on edge and got it right.
Answer:
A n B
Step-by-step explanation:
Trust
2.49 Encuentre los errores en cad uno de las siguientes aseveraciones: a) las probabilidades de que un vendedor de automóviles venda 0,1,2 o 3 unidades en un dia dado de febrero son 0.19, 0.38, 0.29 y 0.15. Respectivamente b) la probabilidad de que llueva mañana es de 0.40 y la probabilidad de que no llueva es 0.52 c) las probabilidades de que una impresora cometa 0,1,2,3 o 4 o más errores al imprimir un documento son 0.19, 0.34, -0.25, 0.43 y 0.29 respectivamente. d) al sacar una carta de una baraja en un solo intento la probabilidad de seleccionar un corazón es ¼, la probabilidad deseleccionar una carta negra es ½, y la probabilidad de seleccionar una carta de corazones y negra es de 1/8
Answer:
Step-by-step explanation:
a) Si se suman las probabilidades de venta, es decir:
Probabildad de vender 0 auto ( es decir que no vendió) = 0,19
Probabildad de vender 1 auto = 0,38
Probabildad de vender 2 autos = 0,29
Probabildad de vender 3 autos =0,15
Da por resultado: 1,01
1,01 > 1
Ninguna probabilidad puede ser mayor que
b) LLover y no llover son condiciones excluyentes en relación al evento, es decir en relación a lluvia cualquier día o llueve o no llueve de tal forma
que las dos situaciones conforman el universo completo y deben sumar 1. en este caso el error s que suman 0.92 cando deberían sumar 1
c) No existen probabilidades negativas ( en este caso señalan -0,25 como una probabilidad
d) La probabilidad de sacar una carta de corazones es 1/4 (correcta pues hay la misma cantidad de carta de las cuatro viras tipo ( diamante, trebo, corazones y el otro).
La mitad de las cartas son negras, de tal modo que 1/2 es correcto valor para esta probabilidad.
La probabilidad de que sea corazones y negra s 1/4*1/2 = 1/8
Luego no hay error en esta aseveración
Write the prime factorization of the number.
1: 42
2: 50
3: 66
Write a linear equation with a slope of 14 and y-intercept -12.
Answer:
y=14x-12
Step-by-step explanation:
in the standard format y=mx+b, m is the slope and b is the y-intercept, so this equation would be y=14x-12 since the slope is 14 and the y-intercept is -12.
A recent school survey found that 8 out of 11 students plan to go to college after graduating high school. At that rate, how many of the 1950 students at the local high school plan to go to college
Answer: 1,418.1882
Step-by-step explanation:
Answer:
1418 students.
Step-by-step explanation:
A chemistry teacher needs to mix an acid solution for an experiment. how much hydrochloric acid needs to be mixed with 1500 milliliters of water to make a solution that is 12% acid
The solution will be 180mL of hydrochloric acid.
What is a mixture?A mixture is a substance made up of two or more dissimilar chemical compounds that are not chemically linked in chemistry. When two or more substances are physically combined, their identities are maintained, and the mixture takes the shape of solutions, suspensions, or colloids.
Given a mixture is a substance made up of two or more dissimilar chemical compounds that are not chemically linked in chemistry. When two or more substances are physically combined, their identities are maintained, and the mixture takes the shape of solutions, suspensions, or colloids.
The amount of hydrochloric acid will be calculated as below:-
1500 x 12% = 180mL
Therefore, the solution will be 180mL of hydrochloric acid.
To know more about a mixture follow
https://brainly.com/question/1917079
#SPJ2
One week, Sarah earned $192.00 at her job when she worked for 8 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $408.00?
Answer:
17
Step-by-step explanation:
f(x) = 2x2 – 15
Find f(-2)
1-6. Indicate whether each table or graph represents a proportional
relationship or a non-proportional relationship.
pls answer! nobody answer right and I am sick of failing this is for a mastery
Answer:
Step-by-step explanation:
Proportional relationship means,
x ∝ y
x = ky
[tex]\frac{x}{y}=k[/tex] where 'k' is the proportionality constant.
From table (1),
[tex]\frac{1}{5}=\frac{2}{9}\neq \text{Constant}[/tex]
Therefore, relationship is not proportional.
From table (2),
[tex]\frac{1}{6}=\frac{3}{18}=\text{constant}[/tex]
True.
So the relationship will be proportional.
From table (3),
[tex]\frac{\text{hours}}{\text{Miles}}= \frac{2}{110}=\frac{5}{175}=\frac{1}{55}[/tex]
Which is constant.
Therefore, relationship will be proportional.
From table (4),
[tex]\frac{\text{Hours}}{\text{Paid}}=\frac{3}{29.25}=\frac{5}{48.75}=0.103[/tex]
Which is constant for every term.
Therefore, relationship will be proportional.
5x+18=7x-4 With Justify Steps
Answer:
x=11
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Subtract 7x from both sides.
Step 2: Subtract 18 from both sides.
Step 3: Divide both sides by -2.
therefore x=11
Answer:
x = 11
Step-by-step explanation:
5x+18=7x-4
+4 +4
5x + 22 = 7x
-5x -5x
22 = 2x
/2 /2
x = 11
Isolate the variable by dividing each side by factors that don't contain the variable.
878 divided by 26 solve it
Answer:
33.7692307692 or for it to be rounded, 34 or 33.8
Step-by-step explanation:
Answer:
439/13
Step-by-step explanation:
-5t^2+10t+22 does the ball reach a height of 35m
Answer:
Step-by-step explanation:
35=-5t²+10t+22
5t²-10t+13=0
disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0
t is imaginary.
So ball never reaches a height of 35 m
Maggie is participating in her school reading challenge. She read 18 of the total 25 books. Wh
percent of books did she read?
Answer:
The answer is 72
what is 3/4f-4g+8 how many terms
Answer:
0 = 2f + 3g + 4f + -4g + 8
Step-by-step explanation:
URGENT
What else would need to be congruent to show that ABC= DEF by the
AAS theorem?
Answer:
D
Step-by-step explanation:
It cannot be A or B because you already have both of your angles, and it cannot be C because the sides do not line up. By the process of elimination it will be D.
Answer:
D
Step-by-step explanation:
AAS = angle angle side
we already have the 2 angles so it cant be A or B. we need to find the equal corresponding side lengths. C is incorrect because side BC is not corresponding to side DF. therefore, it is D. sorry im bad at explaining but i hope this helped :)
Jon answered 20 questions correctly on a 50-question test. Which does NOT
represent the part of the test he answered correctly?
Answer: .86
Step-by-step explanation: Percentages can represent sale prices, such as 20 percent off, success rates, such as getting 86 ... Enter the portion you are converting to a percentage in the calculator. ... For example, if there were a total of 50 question on the test, enter "50." ... For example, if a student got 43 out of 50 questions correct, your answer is .86.
Abdul was scuba diving 76 feet below the surface of the ocean. To get a closer look at a school of fish, he swam up 28 feet
Answer:
He is at 48 feet below the surface
Step-by-step explanation:
76-28= 48
Answer: -48 ft.
Step-by-step explanation: -76+28= -48
Geom_CQA1_20-21
Question: 1-5
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point P that divides MN such that MP : PN is equal to 2: 1?
(-3.5, 2.5)
(-2,2)
(-1, 1)
(0,0)
Answer:
The coordinates of the point P is (0,0)
Step-by-step explanation:
Here, we want to find the coordinates of point P which divides the segment MN in the ratio 2 to 1.
Mathematically, what we shall use here is the internal division formula;
The internal division formula is given as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
From the question;
x1 = -4
x2 = 2
y1 = 4
y2 = -2
m = 2
n = 1
By substituting, we have;
(1(-4) + 2)2))/(1 + 2) , (1(4) + 2(-2))/(1+2)
= (-4 + 4)/3 , (4-4)/3
= (0,0)
5x + 10 > 35
How do you work this out?
Answer:
[tex]x > 5[/tex]
Step-by -step explanation:
Solving inequalities is similar to solving equations.
[tex]5x + 10 > 35[/tex]
Subtract 10 from both sides.
[tex]5x > 25[/tex]
Divide by 5 from both sides to isolate the x.
[tex]x > 5[/tex]
Step-by-step explanation:
[tex]5x + 10 > 35 \\ \: 5x > 35 - 10 \\ 5x > 25 \\ x > 5[/tex]
Rafael can choose plan a or Plan B for his long-distance charges. For each plan, cost (in dollars) depends on minutes used (Per month) as shown below.
Answer:
a. Plan B; $4
b. 160 mins; Plan B
Step-by-step explanation:
a. Cost of Plan A for 80 minutes:
Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:
f(80) = 8
This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.
Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.
Plan B will cost $12.
Therefore, Plan B cost more.
Plan B cost $4 more than Plan A ($12 - $8 = $4)
b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.
At 160 minutes, they both cost $16
The plan that will cost less if the time spent exceeds 160 minutes is Plan B.
What is
1. -2(n-9)+4
2. 6x - (2 - 3x)
Answer:
1) -2n + 22
2) 9x - 2
Step-by-step explanation:
1. -2(n-9)+4
-2n + 18 + 4
-2n + 22
2. 6x - (2-3x)
6x - 2 + 3x
9x - 2