Answer:
B. 7(x − 5)(y + 2)
Explanation:
A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)
B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)
C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)
D. 7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)
2nd one
Let's verify
[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]
[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]
[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]
Verified
The sum of 3 consecutive integers is 48. What is the smallest of the integers?
Answer:
15
Step-by-step explanation:
x+(x+1)+(x+2)= 48
=)3x+3=48
=)3x=45
X=15
The smallest of the integers would be 15.
What are the consecutive numbers?The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.
Given that the sum of 3 consecutive integers is 48.
We need to find the smallest of the integers.
Let assume the 3 consecutive integers are x, (x+1) and (x+2)
Therefore, x+(x+1)+(x+2)= 48
Combine the like terms;
3x+3=48
3x=45
X=15
Hence, the smallest of the integers would be 15.
Learn more about the consecutive whole numbers;
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#SPJ2
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
Answer:
Its 70 hope that helped
Step-by-step explanation: I did this before
A car uses 15 gallons of gasoline to travel 450 miles.
How far can the car travel on 18 gallons of gasoline?
Answer:
540 miles
Step-by-step explanation:
450/15 = 30
so the car can travel 30 miles per gallon
18*30 = 540
Answer:
540 miles
Step-by-step explanation:
Gallons: 15 18
Miles: 450 x
450 divided by 15 = 30
18 times 30 = 540
Find the area of a circle
Answer:
Area: 19.63 Circumference: 5.71
Step-by-step explanation:
Using formulas and all :)
Area formula: pi (r^2)
Circumference: 2(pi)r
pi (2.5^2)= 19.63
2(pi)2.5= 5.71
hope that helps :D
Freddy is preparing for a Halloween party. The decorations cost $55 and it will cost $15 per person for food.
Chucky has $200 to spend. Does he have enough money to invite 10 people?
Write an equation or inequality to represent the situation. You must show your work for credit.
Answer:
he will have enough money for thirteen people
Step-by-step explanation:
because $15*13 people =$195 . he will have extra $5 dollars to go home
Find the value of the unknown angle x.
The diagram is not drawn to scale.
Please answer. Thank you!
Answer: the answer is 50
Step-by-step explanation: the sum of angles in a quadrilateral is 360 degrees so add 74 And 146 and the angle is a right angle so it is 90 . So add these numbers and subtract from 360 . It will give 50 . Can you give brainliest
3.089 less than or equal to 3.1
What is a fraction that is halfway in between 1/5 and 1/6?
I REALLY NEED HELP
Answer:
Step-by-step explanation:
Let's find the LCM of 5 and 6. 5x6 is 30. So 1/5 times 6 to both numerator and denominator is 6/30. 1/6 is slightly different. 30 is 5 times 6. So 1/6 times 5 to both denominator and numerator is 5/30. Since 6/30 and 5/30 does not have a halfway point, let's multiply both by 2. It is 10/60 and 12/60. Midway point is 12+10/2 which is 11/60.
Answer:11/15
1/5+1/6=11/30
11/30 /2=11/15
11/15
Step-by-step explanation:
Can anyone solve it please
Answer:
please mark me the brainlist
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance. his card has an apr of 11.45%, compounded monthly. at the beginning of may, greg had a balance of $318.97 on his credit card. the following table shows his credit card purchases over the next few months. month cost ($) may 46.96 may 33.51 may 26.99 june 97.24 june 112.57 july 72.45 july 41.14 july 101.84 if greg makes only the minimum monthly payment in may, june, and july, what will his total balance be after he makes the monthly payment for july? (assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. round all dollar values to the nearest cent.) a. $812.86 b. $830.31 c. $864.99 d. $1,039.72 please select the best answer from the choices provided a b c d
The total balance of Greg account after he makes the monthly payment for July is $864.99.
How to find monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.
His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.
In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,
[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]
The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.
The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.
The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.
The total balance of Greg account after he makes the monthly payment for July is $864.99.
Learn more about the monthly payment here;
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There were 1,000 gold coins in the treasure
chest. Each pirate received 5% of the loot.
How many gold coins did each pirate get?
Answer:
50 gold coins
Step-by-step explanation:
5%=5/100
therefore 5% of 1000
=5%×1000
=5/100×1000
final answer would be 50 coins...
pls answer the attachment below
Answer:
Direct
Step-by-step explanation:
16/4 = 4
100/25 = 4
4 = 4
The function j(x) = 67x represents the number of jumping jacks j(x) you can do in x minutes. How many
jumping jacks can you do in 15 minutes?
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3
Answer:
y - 5 = -3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
Plug in the point and the slope:
y - y1 = m(x - x1)
y - 5 = -3(x - 12)
So, y - 5 = -3(x - 12) is the equation in point slope form of the line.
Answer:
y-5 = -3(x-12)
Step-by-step explanation:
(12.8)2 - (30+0.375)
Answer:
-4.775
Step-by-step explanation:
HURRY I NEED HELP!!!!!!
What are the slope and the y-intercept of the linear function that is represented by the table?
x. y
-3/4. -1/30
-1/2. -2/15
1/4. -13/30
2/3. -3/5
a. the slope is -2/5 and the y intercept is -1/3
b.the slope is -1/3 and the y intercept is -2/5
c.the slope is 1/3 and the y intercept is -2/5
d.the slope is 2/5 and the y intercept is -1/3
Answer: a. the slope is -2/5 and the y-intercept is -1/3
Step-by-step explanation:
Find the slope by finding the difference in x-values divided by the difference in y-values
(1/4 ,-13/30) and (-3/4, -1/30) are useful values
-13/30 --1/30 = -12/30 = -2/5 is the rise
-1/4 - -3/4 = 1 is the run (-2/5)/1 Division by 1 leaves the original numerator)
the slope is -2/5
To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for b
y= mx + b
-3/5 = (-2/5)(2/3) + b
-9/15 + 4/15 = b
-5/15 = b
-1/3 = b This is the y-intercept
Screenshot below of graph illustrates this solution
If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) a.0 b.1 c.x d.f(x)
Answer:
x
Step-by-step explanation:
The composition of a function and its inverse is x.
What is the diameter of a circle if the circumference is 18.84 ?
Answer:
6
Step-by-step explanation:
hellppp pleaseeeeeee
Answer:
a. All sides are the same length
a. 60 degree for each angle
b. Parallelogram, rhombus
c. trapezoid
A regular hexagon is circumscribed about a circle with a radius of 15 feet. Find the area of the shaded region shown.
Answer:
Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem.
Step-by-step explanation:
Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game. Maddie went Thursday, paying $6 per game, plus rental fees of $2. By coincidence, they played the same number of games for the same total cost. How much did each one spend? How many games did each one play?
Answer:
Each one of them spent $38
Each one of them played 6 games.
Step-by-step explanation:
The number of games be represented by g
Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game.
$14 + $4 × g
= 14 + 4g
Maddie went Thursday, paying $6 per game, plus rental fees of $2.
$2 + $6 × g
= 2 + 6g
The equation is :
14 + 4g = 2 + 6g
We solve for g
Collect like terms
14 - 2 = 6g - 4g
12 = 2g
g = 12/2
g = 6
How many games did each one play?
Each one of them played 6 games.
How much did each one spend?
For Colette
The amount she spent :
14 + 4g
=$14 + 4 × 6
= $14 + 24
= $38
For Maddie
2 + 6g
=$ 2 + 6(6)
=$ 2 + 36
= $38
Please Help!!!!!!!!!!!!!!!!
Answer: ( D) 998 is the greatest three digit positive integer
Step-by-step explanation: Your welcome.
Lina has a total of 72 blue and red marbles in a box. The probability of choosing a blue marble at random from the box is 4/9
Find the number of blue marbles added if the probability of choosing a blue marble is 3/5
Answer:
28
Step-by-step explanation:
probability of getting blue ball is 4/9
total cases = 72
i.e number of blue ball 32
number of red vall is 40
so extra 28 is added
Two wheels mesh together. One gear has 40 teeth and the other one has 25teeth. If the larger wheel makes 60 revolutions per minute, how many revolutions per minute does the smaller wheel make?
quickly help plz
How many solutions and what type of solutions does a quadratic equation have if the value of the discriminant is a positive perfect
square?
2 rational solutions
2 irrational solutions
1 rational solution
O real solutions
Answer:
2 rational solutions
Step-by-step explanation:
the degree of the polynomial (the highest exponent of the variable) defines how many solutions there are.
that means for how many values of x the result y is 0 (how many x-axis interceptions there are or should be).
so, a quadratic equation has 2 such solutions.
there are a few different cases how these solutions present themselves :
"normal case" : all the solutions are real (not only rational) numbers, and the curve has that many different x- acid interceptions.
a turn of the curve leads to only "touching" the x-axis : this is just a special case that the curve is "too high" or "too low" and the regular 2 intersects merge into 1. there are formally still 2 solutions, but they are identical.
there can be "S-curves" especially for higher degrees (3 and up) with the center smoothing in with the x-axis : this is similar but can merge even more than 2 solutions into 1.
the curve is really "too high" or "too low" and never even touches the x-axis : then the solutions are irrational.
the general solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
the discriminate is (b² - 4ac).
if this is a positive perfect square, then the square root is a perfect integer. in fact, 2 perfect integers (+ and -).
and so we get two solutions with integer/integer and they are therefore 2 rational solutions.
A school raises 0. 5 pound bags of nutsThey buy: 30 pounds of cashews15 pounds of almonds5 pounds of peanutsHow many 0. 5 pound bags can they make?
Answer:
100 bags
Step-by-step explanation:
Simply add 30 + 15 + 5 and we get 50
Next divide 50 by the amount of lbs we want 50/0.5 = 100
Simplify - 9 - 3 + 7 - 1?
a- 4
b- 5
c- 1
d 5
Answer:
-6
Step-by-step explanation:
- 9 - 3 + 7 - 1 = - 6
I'm still confused on the answer choices but the expression simplified is equal to -6.
Answer:
-9-3+7-1
Step-by-step explanation:
According to order of operations we do this whole thing from left to right!
Solving we get; -9 -3 = -12> -12+7= -5> -5-1 = -6
Lol I got the same answer (ಡ艸ಡ)
find f(-1) with the graph
we can see the point ( - 1 ; - 2) on the line
so
f(-1) = - 2
as a point is ( x ; f(x) )
Answer:
f(-1) = -2
Step-by-step explanation:
f(-1) means find the value at x = -1
The y value at x=-1 is -2
f(-1) = -2
Sam ran 10 kilometers in 75 minutes. What is Sam’s rate of speed in kilometers per hour?
Answer:
8 km
Step-by-step explanation: giving that
distance=10km
time=75 minutes =75/60 hours
15/12=5/4 hours
speed=disance=10km
time = 5/4hours
=40/5km/hours
=8km/hours
EJERCICIOS: Resuelvan los problemas aplicando regla de tres en conversion de metros a varas A) Una mesa cuadrada mide 1.85 M de lado ¿ cuantas varas debe tener cada tabla de largo para fabricarla? B) Jose tiene un lote de 25 M de largo y 15 M de ancho ¿cuantas varas cuadradas tiene el terreno? Por favor ayuda es para ahorita si mo saben no contesten ok por favor gracias
Answer:
A) Se requiere una tabla con una longitud de 2.213 varas para fabricar la mesa.
B) El lote de José tiene una extensión de 536.481 varas cuadradas.
Step-by-step explanation:
A) La vara es una unidad de longitud equivalente a 0.836 metros. También sabemos que un cuadrado es una figura geométrica con cuatro lados de igual longitud y cuatro ángulos rectos, de modo que la longitud y ancho de la mesa es igual. Entonces, el largo de la tabla, esto es, la superficie superior de la mesa, tiene una medida de 1.85 metros.
A continuación, realizamos la regla de tres para determinar su equivalente en varas:
[tex]x = 1.85\,m\times\frac{1\,vara}{0.836\,m}[/tex]
[tex]x = 2.213\,varas[/tex]
Se requiere una tabla con una longitud de 2.213 varas para fabricar la mesa.
B) La vara es una unidad de longitud equivalente a 0.836 metros. Una vara cuadrada es una unidad de área y es igual a:
[tex]r = (0.836\,m)\cdot (0.836\,m)[/tex]
[tex]r = 0.699\,m^{2}[/tex]
De manera semejante, tenemos que el área del lote de Jose es un rectángulo y que se calcula como sigue en metros cuadrados:
[tex]A = l\cdot w[/tex] (Eq. 1)
Donde:
[tex]A[/tex] - Área del lote de José, medido en metros cuadrados.
[tex]l[/tex] - Largo del lote de José, medido en metros cuadrados.
[tex]w[/tex] - Ancho del lote de José, medido en metros cuadrados.
Si [tex]l = 25\,m[/tex] y [tex]w = 15\,m[/tex], entonces el área del lote es:
[tex]A = (25\,m)\cdot (15\,m)[/tex]
[tex]A = 375\,m^{2}[/tex]
Por último, hallamos el área en varas cuadradas mediante la siguiente regla de tres:
[tex]x = 375\,m^{2}\times \frac{1\,vara}{0.699\,m^{2}}[/tex]
[tex]x = 536.481\,varas^{2}[/tex]
El lote de José tiene una extensión de 536.481 varas cuadradas.