Answer: 5 gallons
Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1
A rectangle has an area of 24 square units and a side length of 2 3/4 units. Fnd the other side length of the rectangle .
a. 8 8/11
b. 10 4/11
c. 9 7/11
Answer:
c
Step-by-step explanation:
If the simple interest on a sum of money at 5% per annum for 3 years is $
1200, then the compound interest on the same sum for the same period
at the same rate will be .........
*
Answer:
$1207.96
Step-by-step explanation:
The accumulated value for simple interest is defined by the following formula:
FV=PV(1+it)
we have (where x is the present value or PV)
1200= x(1+.05*3)
Solve for x
1200=1.15x
x=1043.478261
We now need to use the equation for annually compounding interest
[tex]FV=PV(1+i)^t[/tex]
We have
[tex]1043.4782(1+.05)^3\\1207.956522[/tex]
which rounds to
$1207.96
ill mark brainliest, question is attached
Answer:
v = 7
Step-by-step explanation:
So, I used a go.ogle calculator for this, so I don't evidence, but here
hope this helps:)
Answer:
v=7
Step-by-step explanation:
[tex]3(3v-4)=51\\9v-12=51\\9v=51+12\\9v=63\\v=\frac{63}{9}\\v=7[/tex]
Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?
Answer:
$262.5
Step-by-step explanation:
Given data
Commission earned= 7.5%
Sales for last week= $3,500
Let us find the amount of the commission
=7.5/100* 3500
=0.075*3500
=$262.5
Hence the commission earned last week is
$262.5
help please
Lindiwe suspected that the relationship between temperature and electricity consumption is not linear for all temperatures. She collected data for peak temperatures down to 0°C as shown in the graph.
Which of the following projections is MOST accurate?
A.
When the peak temperature is 40°C, 35 units of electricity are used on average.
B.
When the peak temperature is 40°C, 72 units of electricity are used on average.
C.
When the peak temperature is 40°C, 48 units of electricity are used on average.
D.
When the peak temperature is 40°C, 120 units of electricity are used on average.
Answer:
B. When the peak temperature is 40°C, 72 units of electricity are used on average.Step-by-step explanation:
We see the relationship is closer to linear in the interval 30 to 40
Approximate points:
(30, 34) and (34, 54)The slope of the line:
m = (54 - 34)/(34- 30) = 20/4 = 5The line is:
y - 34 = 5(x - 30)y = 5x - 116At x = 40, the value of y would be:
y = 5*40 - 116 = 84The closet option is B
A triangle has three angles that measure 20 degrees. 60 degrees and
(3x - 25). What is the value of x? Please help due in 10 minutes
all triangles have 180 total degrees, we know this
80 degrees are accounted for, so there's 100 left
3x - 25 = 100
3x = 125
x = 41.67
in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?
Answer:
The area of triangle AED = (x^2-xy)/2
Step-by-step explanation:
Mathematically, the area of a square is the product of its side lengths
Thus, if the area is x^2; then the side of the square measures x
So each of the side of the square has a measure x units
Now, for the base of the square;
EC = ED + DC
x = ED + y
ED = x - y
Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2
The height here is x and the base is (x-y)
We have this as;
Area of triangle AED =
1/2 * x * (x-y)
= (x(x-y))/2
= (x^2-xy)/2
PLEASE HELP FAST Segment PR and segment QS are diameters of circle U. Find measure of arc ST
Answer:
Maybe 74
Step-by-step explanation:
42+64=106
180-106=74
What is the value of x if p(x)=-48. Please use this function: 3/4 x
u need to do 111111155151515151515151515151
help plz due 20 min ill give brainliest
Answer:
Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.
Step-by-step explanation:
Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables
Answer:
9x = 120
x= [tex]\frac{43}{3}[/tex]
Step-by-step explanation:
6.) Convert the following linear equation into slope-intercept form.
4x + 3y = 9
Answer:
[tex]y=\frac{-4}{3} +9[/tex]
Step-by-step explanation:
Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.
First, subtract 4x from both sides,
3y=-4x+9
Then, divide both sides by 3,
y=-4/3x+3
Please help its due soon ill give brainlest
Which gives all the solutions of the equation x2 – 2x + 1 = 0?
Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!
The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.
BD = AC and AB = CD
In triangles ΔBAD and ΔCDA, we have
BD = AC (Given)
AB = CD (Given)
AD = AD (Common side)
Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.
More about the triangle link is given below.
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HELPPP ME PLEASEEE IM JUST SLOW
Answer:
Solve it, you can do it!
Step-by-step explanation:
Multiply 4 2/3 and then divide what you get with 7
Answer:
1.5 or 1 1/2
Step-by-step explanation:
4 2/3 / 7
14/3 / 7
3 * 7 = 21
21/14 =
1.5
edit 1: i changed the / to an or to make it less confusing
Tom walks 2.12 km to the park he then walks a further 670 to the shop how many km has Tom walked in total
Answer:
672.12
Step-by-step explanation:
a yogurt shop offers 6 different flavors of frozen yogurt and 8 different toppings. how many choices are possible for a single serving of frozen yogurt with one topping.
the options are
A. 36
B. 48
C. 20,160
D. 64
Answer:
36
Step-by-step explanation:
yes it may be gets 48 flavoure
Trey has a bookcase with 8 shelves. Each shelf has 40 books. How many books are in the bookcase
Answer:
8x40=320
Step-by-step explanation:
According to the given question we can infer that here are 320 books in the bookcase.
If Trey has a bookcase with 8 shelves, and each shelf has 40 books, the total number of books in the bookcase can be calculated by multiplying the number of shelves by the number of books per shelf.
Total number of books = Number of shelves × Number of books per shelf
Total number of books = 8 shelves × 40 books per shelf
Calculating the multiplication:
Total number of books = 320 books
Therefore, there are 320 books in the bookcase.
To know more about multiplication here
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Which two equations are equivalent to: 3(3x - 2) = 5(2x + 4) 9x - 6 = 10x + 20
A:9x - 6 = 10x + 20
B:3x - 2 = 2x + 4
C:-26 = x
D:3x _ 4 = -26
Answer:
C. -26=x
Step-by-step explanation:
3(3x-2)=5(2x+4)
9x-6=10x+20
9x-10x=20+6
-x=26
-x/-1=26/-1
x= -26
Raul uses a credit card to take out a 3-year loan of $4500 at a rate of 15% to purchase
carpeting for his house. What will be the total amount he will repay for this loan?
Answer:
Amount of loan pay = $6.840 (Approx.)
Step-by-step explanation:
Given:
Amount of loan borrow = $4,500
Rate of interest = 15% = 0.15
Number of year = 3 year
Find:
Amount of loan pay
Computation:
Future value = Present value[1+r]ⁿ
Amount of loan pay = Amount of loan borrow[1+r]ⁿ
Amount of loan pay = 4,500[1+0.15]³
Amount of loan pay = 4,500[1.15]³
Amount of loan pay = 4,500[1.52]
Amount of loan pay = $6.840 (Approx.)
The perimeter of the soccer field at Beth's school is 280 meters. Its length is 95 meters.
What is its width?
Answer:
The width is 45 meters
Step-by-step explanation:
P = 2(l + w) =2 · (95 + 45) = 280
What is the formula base x height =area like what is that shape of base x height =area
Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.
Step-by-step explanation:
what is the area of a circle with a radius of 10
Answer: A≈314.16
Step-by-step explanation: A=πr2=π·102≈314.15927
Mark and Henry win some money and share it in the ratio 4:3. Mark gets £9 more than Henry. How much did they get altogether?
I NEED HELP!!!!! I WILL GIVE YOU BRAINLIEST ANSWER!!!
Answer:
AC=2.35
Step-by-step explanation:
tan25=AC/BC
0.47=AC/5
AC=2.35
hope it helps
have a great day!!
Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.
Answer: A
Step-by-step explanation:
The correct option is A.
What is an exponential function?In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given is that a graph,
So, from the graph we can concluded that it is an exponential and positive function,
Therefore, as x increases y also increases.
We know that the exponential function is given by =
y = abˣ
So, when x = 0, y = 100,
100 = a × b⁰
a = 100
When x = 4, y = 150,
150 = 100 × b⁴
b⁴ = 1.5
b = 1.11
y = 100(1.11)ˣ
Change = 110-100 / 100 × 100% = 10%
Therefore, we can say the value of a $100 stock grows in value by 10% each year.
Hence the correct option is A.
Learn more about exponential function click;
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The volume of a sphere is 11,488.21 .To the nearest yard, what is the radius of the sphere? Use 3.14 for
Answer:
The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere
ok 1502837598758623875 x 9364876408763o17360876356217356
Answer:
1.4073888e+48
Step-by-step explanation:
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
[tex]Scale = Length : Width[/tex]
For the painting,
[tex]Scale = 20: 16[/tex]
For the frame,
[tex]Scale = 15: w[/tex]
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
[tex]15 : w = 20 : 16[/tex]
Express as fraction
[tex]\frac{w}{15} = \frac{16}{20}[/tex]
[tex]\frac{w}{15} = 0.8[/tex]
Make w the subject
[tex]w = 15 * 0.8[/tex]
[tex]w = 12[/tex]
The width of the frame must be 12 inches i.e. 15in by 12in frame