Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.
Answer:
width = 5 ft
length = 9 ft
Step-by-step explanation:
Here, we want to get the length and width of the garden
length is 1 ft less than twice the width
if width = w
length = 2w-1
The product of the two is 45
so, we have it that;
w(2w-1) = 45
2w^2 - w = 45
2w^2 - w -45 = 0
2w^2 - 10w + 9w -45 = 0
2w(w-5) + 9(w-5) = 0
(2w + 9)(w-5) = 0
2w + 9 = 0
or w -5 = 0
w = 5 or-9/2
w cannot be negative, so we = 5
l = 2(5) -1 = 10 - 1 = 9 ft
How many pints are in 15 1/4 gallons?
Answer:
122
Step-by-step explanation:
Answer:
122
Step-by-step explanation:
8 pints in 1 gallon
multiply 15.25 and 8 to get answer of 122
Is 15/60 equivalent to 1/4
Answer: Yes
Step-by-step explanation:
15/60 divided both by 15:
15/15=1 and 60/15=4
Answer:
yes
Step-by-step explanation:
15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes
The opposite of four times a number is increased by five. If the result is 17, what is the original number?
A) 8
B)-3
C)16
D)-48
IF YOU DON’T KNOW DONT ANSWER
Answer:
B, -3
Step-by-step explanation:
-4x+5=17
this equation can be used to determine the number
-4x=12
x=-3
Please help will give Brain
Answer:
n=58
Step-by-step explanation:
the square at the bottom right indicates that, that angle equals 90.
all the angles in a triangle add up to equal 180 so we subtract the angles that are given from 180 to get the missing angle
180-90-32=58
n=58
In Mr. Green's homeroom, 6 students have no siblings, 7 students have 1 sibling, 10 students have 2 siblings, and 3 students have 3 or more siblings. Is it likely that a student chosen at random will have only 2 siblings?
Answer: No, it is unlikely that a student chosen at random will have only 2 siblings.
Step-by-step explanation:
Given: Number of students with 2 siblings = 10
Total students = 6+7+10+3 =26
The probability of choosing a student with only 2 siblings = [tex]\dfrac{\text{Number of students with 2 siblings}}{\text{Total siblings}}[/tex]
[tex]=\dfrac{10}{26}\\\\=\dfrac{5}{13}\approx0.38<0.5[/tex]
Hence, it is not likely that a student chosen at random will have only 2 siblings.
WORTH 58 POINTS HELP MEE PLEASE
Answer:
4:1
sorry if i'm wrong
Answer:
Step-by-step explanation:
54 ÷6= 9
the first one is 5:1
then take away 9
45- 9 = 36
36:9 = 4:1
Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2
Answer:
[tex]P_1 = 24cm[/tex]
Step-by-step explanation:
Represent:
Phil's height with P
Suzanne's height with S
Phil's shadow with P1
Suzanne's shadow with S1
So, we have:
[tex]P = 51.2cm[/tex]
[tex]S = 5'4"[/tex]
[tex]S_1 = 76.2cm[/tex]
Required
Calculate the length of Phil's shadow --- Missing part of question
To do this, we make use of the following equivalent ratio.
[tex]P:S = P_1 : S_1[/tex]
Convert [tex]S = 5'4"[/tex] to cm
[tex]S = 5ft\ 4in[/tex]
[tex]S = (5*30.48+ 4*2.54)cm[/tex]
[tex]S = 162.56cm[/tex]
Substitute values for P, S and S1
[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]
Express as fraction
[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]
Make P1 the subject
[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]
[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]
[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]
[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]
[tex]P_1 = 24cm[/tex]
Hence, the length of Phil's shadow is 24 cm
What is the answer for 1 1/2 yard x 1 1/2 yard =
Three times a number w is less than 18.
Answer:
3w < 18
Step-by-step explanation:
To do 3 times if you put 3 against a variable that means to multiply. Since a number is unknown it turns into variable which is w in this case. Then less than 18 to do the less than symbol, think of them like crocodile they always eat the bigger number and since 3w is less than 18 the croc < eats 18. Thats just an easy way of remembering. Hope this helps :)
Given the following equations, at which point will the graphs intersect?
f(x) = 5x + 1
g(x) = -2x + 15
(0,0) (1,15) (-2,-9) (2,11)
Answer:
(2,11)
Step-by-step explanation:
f(x) = 5*2 + 1 = 11
g(x) = -2 *2 + 15 = 11
Raúl is mixing a cleaning spray. The instructions say to combine 2 cups vinegar with 1 cup water. Raúl wants to make 15 cups of spray. How many cups of vinegar and how many cups of water should Raúl use?
Move values to the lines to complete the sentence about triangle p’ q’ r’
x+3y=18 and x+2y=14
SHOW YOUR WORK!!!!!!!!!!!!!!!
Step-by-step explanation:
x=6
y = 4
......................
A family went to a basketball game. They parked the car in a parking lot which charged $5. The cost per ticket was $24. Write an equation for the total cost of going to the basketball game, where y is the total cost an x is the total number of people. If the family spent $173, how many people went to the game?
Answer:
7 people went to the basketball game.
Step-by-step explanation:
Giving the following information:
They parked the car in a parking lot which charged $5. The cost per ticket was $24.
To calculate the number of people, we need to use the following formula:
Total cost (y)= x*24 + 5
173 = 24x + 5
168/24 = x
7 = x
7 people went to the basketball game.
Pls help pls pls than you
Answer:
b
Step-by-step explanation:
8*5=40
40*1/3=40/3
I NEED THIS FOR A TEST PLZ HELP!!!
Triangle ABC has been dilated from center D.
If the length of segment BC = x, which is the
length of segment
ST?
A. 2x
B. 3x
C. 4x
D. 5x
Answer:
4x
Step-by-step explanation:
Answer:
A. 2x is correct.
Step-by-step explanation:
Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).
BC = √(8-5)² + (8 - 7)²
BC = √10
ST = √( 7 - 1)² + ( 13 - 11)²
ST = 2√10
Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2
This means that the image, ST, is twice as large as the pre-image BC.
someone plz help this is due today
3x+5x+1=17
x=2
y=5•2+1
y=1
(x, y)=(2, 11)
3x+2(4x+5)=43
x=3
y=4•3+5
y=17
(x, y)=(3, 17)
I think I did it right and I hope I helped you
WILL GIVE BRAINLIEST, PLEASE HURRY.
In science class, students added vinegar to a solution to try to reach an acidic pH. Eduardo added 1/3 of a cup vinegar to his solution. Violent added 3.75 times the amount Eduardo used. How much vinegar did Violet add to her solution?
A. 3 3/4 cup
B. 1 1/4 cup
C. 1 cup
D. 1/3 cup
Answer:
B. 1 1/4 cup
Step-by-step explanation:
1/3 times 3 3/4 gives you 1 1/4! Hope that helps!
Answer:
Step-by-step explanation:
11/4
ez as pie
Gina has a container that holds 32 fluid ounces of orange juice. How many gallons of orange juice does the container hold
Answer:
0.25 gallons
Step-by-step explanation:
Figure out how many fluid ounces make one gallon (128) Then start by dividing 128 by 32.. You should get 4. Make 4 a decimal and get 0.25
When do we use pooling in inference?
Answer:
There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).
Step-by-step explanation:
PLEASE HELP!!! i tryed by i thing I got it wrong I WILL GIVE BRANLIESS
Answer:
Dinner: $45
Dinner after discount: $29.25
Tax after discount: $31.59
Tip before the discount: 6.75
Total cost: 38.34
Step-by-step explanation:
Hope it helps! :) (double check my work to be sure)
On line l, m∠p = 21x +25 and m∠n = \{675x\:-27}/3 Use this information to answer Part A & B below. Part A: Determine the value of x. Part B: Determine the measure of ∠p and ∠n in degrees. p = n =
Answer:
a) x = 492/738
b) m<p = 39°
m<n = 141°
Step-by-step explanation:
Find the diagram attached
a) The sum of angle on the straight line l is 180degrees
m<n + m<p = 180 degrees
Given
<p = 21x+25
<n = (675x-27)/3
Substitute the given values into the formula
(675x-27)/3 + 21x+25= 180
[(675x-27+3(21x+25))]/3 = 180
675x-27+63x +75 = 180*3
675x+63x-27+75 = 540
738x+48 = 540
738x = 540 - 48
738x = 492
x = 492/738
b) m<p = 21x+25
m<p = 21(492/738) + 25
m<p = 14+25
m<p = 39°
Recall that m<p + m<n = 180
m<n = 180-m<p
m<n = 180 -39
m<n = 141°
The length of the rectangle is 5 cm longer than twice its width. If the perimeter of the rectangle is 88 cm what is the width? pls help
l = 5 + 2w.
P = 88 cm.
P = 2 ( l + w )
88 cm = 2 ( (5 + 2w) + w)
88 cm = 2 (5 + 3w)
88 cm cm = 10 + 6w
88 cm cm - 10 = 6w
78 cm = 6w
78 cm : 6 = w
13 cm = w
The width is 13 cm.
Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?
A. 3
B. 4
C. 5
D. 6
I will give you 30
points if you anser!
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
If the two number cubes are a standard six sided dice then the total of ways he can roll for the sum of 6 is 3
1+5 = 6
2+4 = 6
3+3 = 6
Which relation is a function?
Answer:
I need a picture at least
How many times should you multiply 8/7 by itself?
Answer:
to gain what result
Step-by-step explanation:
if u can please the full question
A can in the shape of a cylinder has a diameter of 6 cm and a height of 10 cm which measurement is closest to the total surface area of the can in square centimeters
Answer:
10cm
Step-by-step explanation:
What is the coefficient in the following equation?
2x - y = 12
Answer:
I think 2 is the coefficient of x which is numerical.
In RST shown below, altitude SU is drawn to RT at U. If SU = h, UT = 12, and RT = 42, what is the value of h to the nearest tenth?
Answer:
assuming angle RST=90 degrees
h=19
Step-by-step explanation:
RU/h=h/UT
RU=RT-UT=42-12=30
30/h=h/12
h^2=360
h=18.97 rounded to nearest tenths=19