The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle
Answer:
10w
Step-by-step explanation:
→ Work out the length
4 × w = 4w
→ State width
w
→ Find perimeter
4w + 4w + w + w = 10w
Joey went to a toy show at the local community center. He bought action figures and trading cards. He spent a total amount of $34.04. He spent $4.22 on the trading cards. He bought 6 action figures that cost the same amount. What equation can be used to determine the cost,a,of each action figure?
4. Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
O y=-6x+4/5
O y= 4/5x-6
O y=4/5x+6
O y = 6x+4/5
Answer:
y=5x-6
Step-by-step explanation:
Use form y= mx + b where m is the slope and b is the y intercept
I’m confused on what to do next please help
Answer:
There are 585 adults and children
Step-by-step explanation:
Let the number of adults be a, number of children be c and the number of seniors be a
Amount made per group;
adults; 52 * a = 52a
Children : 26 * c = 26c
Seniors = 20 * s = 20s
Adding all will give 20,490
52a + 20s + 26c = 20 490 ••••(i)
Now let us work with the ratios;
a : s = 6 : 1
a/s = 6/1
a = 6s •••••(ii)
Lastly;
a/c = 4/9
4c = 9a ••••(ii)
We want to get a + c
From the first equation , let’s substitute
52(6s) + 20s + 26c = 20,490
26c = 6.5 (4c)
but 4c = 9a; 6.5(9a)
But a = 6s
So we have; 6.5(9)(6s) = 351s
so we have;
312s + 351s + 20s = 20,490
683s = 20,490
s = 20490/683
s = 30
Recall;
a = 6s = 6 * 30 = 180
4c = 9a
4c = 9 * 180
c = (9 * 180)/4 = 405
So the total number of children and adult is a + c
405 + 180 = 585
Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?
Answer:
he is drive 6.4 hours ......
If y = -2x + 3, find y when x = -3
In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?
Answer:
33 students
Step-by-step explanation:
ratio = 6 : 5
if there are 3 more girl that boy
ratio 1 equal 3.
total ratio
6 + 5 = 11
total number of students
11 × 3 = 33
how to solve 6x+4+5X+2=12X-4 to solve for x
11x+6=12x-4
6-4=12x-11x
therefore x=2
simple
Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?
Answer: Not rounded: 39.6 Rounded: 40
Step-by-step explanation:
help me plzz.im dying.
Answer:
B
Step-by-step explanation:
is this answer
What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers
Answer:
Domain = x > 2 , Range = {R}
Step-by-step explanation:
The given function to us is ,
[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]
Since logarithm are defined only for positive numbers therefore ,
=> (x - 2) > 0
=> x > 2
Therefore the domain of the function is x > 2 and it can have all positive real numbers .
A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?
Answer:
1 1/2 tons per hour
Step-by-step explanation:
8 1/4 ÷ 5 1/2
Help, please
A: 2
B: -2
C: 1/2
D:-1/2
Answer:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]
Step-by-step explanation:
4w2 + 3W
- 1
5w - 2
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Step-by-step explanation:
Given
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Required
Determine an expression for the area
Area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]
Expand
[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]
Collect like terms
[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
Find the center and radius of x2+2x+y2+10y=15
Answer: (x + 7)^2 + (y + 5)^ =9
Step-by-step explanation:
A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pool’s radius. She should have used 4 ft in the formula.
Answer:
she forgot to multiply the radius by 2 in the formula (B)
Step-by-step explanation:
i got it right :)
Answer:
B.
Step-by-step explanation:
Of the tangent is 15/20 what’s the sine of the angle
Answer:
25
Step-by-step explanation:
PLEASE PLEASE HELP ME
Use a graph to make a conjecture about the coordinates of the intersection point of the lines y = - 7/9x + 3 and y = 1/3x - 2
Answer:
(4.5, -0.5)
Step-by-step explanation:
dude just use desmos its so much easier :)
Answer:
Not Perpendicular
Step-by-step explanation:
is 1 23/36 the same thing as 263/144 ? ill give brainiest :)
Answer:
no
Step-by-step explanation:
[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
Hello There!
First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)
Because the fee is 3 dollars we can immediately eliminate answers B and C
Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)
Once again we want to choose two points on the line and plug it in into the slope formula
the points are optional but i have chosen the points (1,4.5) and (2,6)
*plug it into the slope formula*
[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]
so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A
Which three of the following are independent variables?
car payment
tires
gasoline
registration fee
oil
insurance
HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies
Answer:
25%
Step-by-step explanation:
3/12=d/100
12×d=12d=3×100=300
12d÷12=d
300÷12=25
d=25
hope this helps
Grapes cost $3.25 per pound. Darius paid a total of $26 for grapes.
How many pounds of grapes did Darius buy?
Answer:He buys 8 pounds
Step-by-step explanation:
You can either just add up the $3.25 until you get to the end-price, but that wont always work for every problem. The best way is to divide the 26 with the 3.25 in a written devision.
Answer:
he buys 8 pounds
Step-by-step explanation:
you add up until you get to 26 and then count how many times you added :)
On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?
Domain:
Range:
Answer:Answer:
f(-2) = 2
f(0) = 3
f (4) = -1
Step-by-step explanation:
The equation of the straight line passing through the points (0,3) and (-4,1) is
⇒ 2(y - 1) = x + 4
⇒ 2y - 2 = x + 4
⇒ 2y = x + 6
⇒
Again, the equation of the line passing through the points (0,1) and (4,-1) is
⇒ - 2 ( y + 1) = x - 4
⇒ - 2y = x - 2
⇒
Therefore, the function is defined as
for x ≤ 0 ........... (1) and
for x > 0 ............ (2)
Therefore, f(-2) = 2 from equation (1).
f(0) = 3 from equation (1)
And f (4) = -1 from equation (2). (Answer)
Step-by-step explanation:
Answer:
Sorry this is late but here:
Domain: real numbers greater than or equal to -3
Range: equal to -4, 2, and 3
Step-by-step explanation:
I just did it on edge :D
What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6
Answer:
it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144
Answer:
12285
Step-by-step explanation:
One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric content of each item.
Answer:
Step-by-step explanation:
Let the shake be x and the burrito y
x + 2y = 3040 ---- (1)
2x + y = 2840 ---- (2)
Make x the subject of formula in equation (1)
x + 2y - 2y = 3040 - 2y
x = 3040 - 2y
Substitute x = 3040 - 2y for x in equation (2)
2(3040 - 2y) + y = 2840
6080 - 4y + y = 2840
6080 - 3y = 2840
Subtract 2840 from both sides of the equation and add 3y to both sides of the equation
6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y
6080 - 2840 = 3y
3y = 3240
Divide both sides by the coefficient of x(which is 3)
[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]
y = 1080
Substitute y = 1080 for y in equation (2)
2x + 1080 = 2840
2x = 2840 - 1080
2x = 1760
[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]
x = 880
∴ The caloric content of one shake is 880 and for one burrito is 1080
Hope this helps
15.00 + 1.75x > 7.50 + 2.25
Answer:
Step-by-step explanation:
