Answer:
6(b+1)
Step-by-step explanation:
6(b+1)
see this and reply me
A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the bathtub hold when it is completely full?
Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
[tex]\frac{30}{100}[/tex] x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = [tex]\frac{1200}{30}[/tex]
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation that represents this and show your work. Then find the possible value(s) for x, and find the actual dimensions of the postcard.
Answer:
[tex]x^2 + 15x - 60 = 0[/tex]
The actual dimension is 18.28 by 3.28
Step-by-step explanation:
Given
Dimension:
[tex](x + 15)\ by\ x[/tex]
[tex]Area = 60in^2[/tex]
Required
Determine the quadratic equation and get the possible values of x
Solving (a): Quadratic Equation.
The cardboard is rectangular in shape.
Hence, Area is calculated as thus:
[tex]Area = Length * Width[/tex]
[tex]60= (x + 15) * x[/tex]
Open Bracket
[tex]60= x^2 + 15x[/tex]
Subtract 60 from both sides
[tex]x^2 + 15x - 60 = 0[/tex]
Hence, the above represents the quadratic equation
Solving (b): The actual dimension
First, we need to solve for x
This can be solved using quadratic formula:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = 15[/tex]
[tex]c = -60[/tex]
So:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}[/tex]
[tex]x = \frac{-15 \± \sqrt{225 + 240}}{2}[/tex]
[tex]x = \frac{-15 \± \sqrt{465}}{2}[/tex]
[tex]x = \frac{-15 \± \21.56}{2}[/tex]
Split:
[tex]x = \frac{-15 + 21.56}{2}[/tex] or [tex]x = \frac{-15 - 21.56}{2}[/tex]
[tex]x = \frac{6.56}{2}[/tex] or [tex]x = \frac{-36.36}{2}[/tex]
[tex]x = 3.28[/tex] or [tex]x = -18.18[/tex]
But length can't be negative;
So:
[tex]x = 3.28[/tex]
The actual dimensions: [tex](x + 15)\ by\ x[/tex] is
[tex]Length =3.28 +15[/tex]
[tex]Length =18.28[/tex]
[tex]Width = x[/tex]
[tex]Width =3.28[/tex]
The actual dimension is 18.28 by 3.28
What are two numbers that are 4 away from zero on a number line?
Answer:
4 and -4
Step-by-step explanation:
Because 4 to the left of 0 is negative and 4 to the right is positive
Answer:
The two numbers are: -4 and +4 (or just 4)
I HOPE THIS HELPS
Evaluate the expression for z = –8.
–2z =
Answer:
Z = - 8/3.
Make brainlist please
If ∠ABC = ∠FBI, then m∠ABC − m∠FBI = 180◦ True or False
Answer:
false?
Step-by-step explanation:
Answer:
false I think but I'm not completely sure
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
7/15
Step-by-step explanation:
find a common demonator for example 15
you would do 4x3 for 12 and 5x3 for 15 so your first fraction would be 12/15
for the second fraction you will do 1x5 and 3x5 so your fraction would be 5/15
then you just subtract.
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3. Change the denominators to 15, do they same to the numerators which is multiply by 5. You then have 12 minus 5 = 7. So 7/15.
Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp? (5 points)
Group of answer choices
$64.00
$88.00
$155.00
$620.00
Answer:
$155.00
Step-by-step explanation:
write a function rule for the nth term of each arithmetic sequence
1=6,11,16,21...
2=-7,-15,-23,-31....
3=-7.6,-9.6,-11.6,-13.6......
Answer:
radinda9124 i will answer wait
Determine the type of triangle that is drawn below.
Answer:
Isosceles Right
Step-by-step explanation:
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?
Answer:
3 pants and 5 shirts
Step-by-step explanation:
x+y=8
28x+12y=144
-12x-12y=-96
16x=48
x=3
Mr. Thomson created a mosaic tile in the
shape of a square to place in his kitchen.
9 in.
9 in
Which is closest to the length of the
diagonal of the tile?
A. 10 inches
B. 13 inches
C. 15 inches
D. 17 inches
I’ll give Brainlest if it’s right!!
Answer:
C
step by step
ithink so
Evaluate:
(4/25)^1/2 in fraction
Answer:
As
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]
Therefore, option C is true.
Step-by-step explanation:
Given the expression
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
so the expression becomes
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]
[tex]=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]
[tex]=\frac{2}{25^{\frac{1}{2}}}[/tex]
[tex]=\frac{2}{5}[/tex]
Hence,
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]
Therefore, option C is true.
Answer:
The answer is C
Step-by-step explanation:
I just took the A pex test and got the question right.
You might want to clean your screen lol
Hope this helps! Have a wonderful day <333
Based on the given information, which conjecture is invalid?
Given: Amber has a pet with four legs.
a)Amber has a hamster.
b)Amber has a cat.
c)Amber has a parakeet.
d)Amber has a dog.
Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)
Four less than twice a number is twenty four.
Answer:
4-2x=24
24-4=20
x=10
Step-by-step explanation:
Anderson Middle School received 37 tickets to next week's ball game. The tickets were given out to the 5 sixth grade classes. How many tickets were given to each grade? and How many were left over?
Answer:
7 tickets given to each class, 2 left over
Step-by-step explanation:
You can divide 37 by 5 to get 2 remaining.
EX: 37 / 2 = 7 r2
Eduardo mixed 5 pounds o cashews and almonds. Cashews cost $8 per pound and almonds cost $6 per pound. The total cost of the mixture was $33. How much of the mixture was almonds?
Answer:
3.5 pounds of the mixture was almonds
Step-by-step explanation:
Assume that the mixture contains x pounds of cashews and y pounds of almonds
∵ x represents the amount of cashew
∵ y represents the amount of almond
∵ Eduardo mixed 5 pounds of cashews and almonds
∴ x + y = 5 ⇒ (1)
∵ Cashews cost $8 per pound
∵ Almonds cost $6 per pound
∵ The total cost of the mixture was $33
→ Multiply x by 8 and y by 6 and equate their sum by 33
∴ 8x + 6y = 33 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by -8 to eliminate x
∵ -8(x) + -8(y) = -8(5)
∴ -8x - 8y = -40 ⇒ (3)
→ Add equations(2) and (3)
∵ (8x + -8x) + (6y + -8y) = (33 + -40)
∴ -2y = -7
→ Divide both sides by -2
∴ y = 3.5
∵ y represents the amount of almond
∴ 3.5 pounds of the mixture was almonds
please help me i give brainliest
the question is if you can’t see it “If 2 ringtones cost $6, and the cost of 3 ringtones is $9 how can you setup a proportion to compare two ratios? Use the graphic organizer below to set up your proportion!”
Answer:
I think
2 ring.... = $6
3ring..... = $9
1rings = 6/2 = 3
Step-by-step explanation:
For ratio you can write
2/6 = 3/9
Answer will be
1/3
Ratio is kinda rate for buying stuff, like comparison too
Help me please and thanks
Answer:
3/-4 or -0.75 is the answer
Step-by-step explanation:
hope this is the right answer if it isnt sorryy
to the nearest whole degree, what is the measure of Angle z
A. 41°
B. 47°
C. 51°
D. 57°
Answer:
51°
Step-by-step explanation:
you just have to add all the numbers and subtract it by two
Answer:
51
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
A lifeguard is in an observation chair and spots a person who needs help. The angle of depression to the person is 22°. The eye level of the lifeguard is 10 feet above the ground. What is the horizontal distance between the lifeguard and the person? Round to the nearest foot.
Answer:
The horizontal distance between the lifeguard and the person is approximately 24.751 feet.
Step-by-step explanation:
At first we include a geometrical representation of the statement, which is shown in the image attached below. We can determine the horizontal distance between the lifeguard and the person by means of the following trigonometrical relationship:
[tex]\tan \theta = \frac{OL}{OP}[/tex] (1)
Where:
[tex]\theta[/tex] - Angle of depression to the person, measured in sexagesimal degrees.
[tex]OL[/tex] - Height of the lifeguard above the ground, measured in feet.
[tex]OP[/tex] - Horizontal distance between the lifeguard and the person, measured in feet.
If we know that [tex]OL = 10\,ft[/tex] and [tex]\theta = 22^{\circ}[/tex], then the horizontal distance between the lifeguard and the person is:
[tex]OP = \frac{OL}{\tan \theta}[/tex]
[tex]OP = \frac{10\,ft}{\tan 22^{\circ}}[/tex]
[tex]OP \approx 24.751\,ft[/tex]
The horizontal distance between the lifeguard and the person is approximately 24.751 feet.
Please help i will mark branliest
Given a triangle on a coordinate plane, Steve found its circumcenter. How can he check the answer?
Use midpoint formula to find the midpoint of each side
Use distance formula to verify that each vertex is equidistant from the circumcenter
Use distance formula to verify that each side is equidistant from the circumcenter
There is no way to verify the coordinates of the circumcenter
Given a triangle on a coordinate plane, Kim found its incenter. How can she check the answer?
Use distance formula to verify that each side is equidistant from the incenter
Use midpoint formula to find the midpoint of each side
There is no way to verify the coordinates of the incenter
Use distance formula to verify that each vertex is equidistant from the incenter
Answer:
ihnc
Step-by-step explanation:
ihnc
Answer:
The answer is D - Use distance formula to verify that each vertex is equidistant from the incenter.
Step-by-step explanation:
I know because I just toke the test and got it right.
If 1 droplet of water falls from a pipe every 10 seconds. How many droplets of water would have fallen 6 minutes?
Answer:
36
Step-by-step explanation:
60 seconds in one minute = 6 drops times 6 equals 36
Answer:
36 droplets of water in 6 minutes
Step-by-step explanation:
If there are 60 seconds in a minute, and one droplet of water falls in the pipe every 10 seconds then you would need to divide.
The first step is to divide 60 by 10. The answer will be 6. This means that six droplets will fall for every minute.
60/10 = 6
This gives us a unit rate to work with.
6:1 or [tex]\frac{6}{1}[/tex] or 6 droplets per minute
All you have to do is multiply.
[tex]\frac{6}{1} * 6[/tex] (the minutes)
Your answer should be 36 droplets of water have fallen into the pipe in 6 minutes.
Best of Luck!
1). Aziz has a job mowing lawns in the summer. The graph below shows the amount of earnings, in dollars, based on the number of lawns Aziz mows. Enter an equation to represent the amount of earnings, e, in dollars, that Aziz makes in terms of the number of lawns, n, that he mows.
Answer:
The equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n
Step-by-step explanation:
From the graph, we have;
For the point where n = 4, we have e ≈ 63.5
Therefore, we have;
The slope = Δn/Δe = 63.5/(4) = 15.875
The coordinates of the points plotted on the graph are as follows;
n = 0, e = 0, therefore, the y-intercept is 0, and y = slope × x
n = 1, e = 1 × 0.79375 = 15.875
n = 2, e = 2 × 15.875 = 31.75
n = 3, e = 2 × 15.875 = 47.625
n = 4, e = 4 × 15.875 = 63.5
We have, e = 15.875 × n
Where, n represents the number of lawns Aziz mows, and n represents the amount of earnings Aziz makes in dollars
Therefore, the equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n
Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2 × 0.1) + (9 × 0.01) (5 × 1) + (3 × 0.1) + (3 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01)
Answer:
Any number in form of x.y = x (1) + 1/10 (y)
where x = 5 & y > 3 , or x > 5
Step-by-step explanation:
Expanded form of 5.3 = 5 (1) + 3 (1/10)
Some decimals written in expanded form that are greater than 5.3 :
5 (1) + 4 (1/10) = 5.4
6 (1) + 2 (1/10) = 6.2
Find the value of x.
X
127X
Answer:
127
Step-by-step explanation:
x=127
corresponding angles
Identify the equation of the line graphed below.
Answer:
B
Step-by-step explanation:
this is the correct awnser because the thingy is y-y¹=slope(x-x¹) so for y¹ it would be 2 and that gives away the awnser. because all of the other ones have different numbers if the minus sign is an addition sign it mean that the y¹ is negative which it isnt.
how you would find the y¹ is you look on the y-axis and see where the line goes through perfectly which is the positive 2
Hope this helps!
and isn't to complicated
A pair of boots are $94.99. They are 25% off. With this
discount, what is the sale price? Round to nearest
cent if necessary.
If there are 25% discount on the pair of shoes, then the sale price of boots are, $71.24
What is the sale price ?Sale price refers to the price at which a product or service is offered for sale after a discount or reduction from its original or regular price. Sale price is a promotional tool used by retailers to encourage customers to purchase products or services by offering them at a lower price than their regular price. The purpose of a sale price is to increase sales and generate revenue, as well as to clear inventory, attract new customers, and increase brand awareness. The calculation of sale price is typically performed by subtracting a certain percentage or dollar amount from the original or regular price.
Given that,
The boots are $94.99 and are 25% off,
so the discount amount is
⇒ $94.99 x 0.25 = $23.75.
The sale price of the boots is
⇒ $94.99 - $23.75
⇒ $71.24
Rounded to the nearest cent, the sale price is $71.24
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The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?
The perimeter of the smaller polygon from the given ratio is 100 centimeters.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, the scale factor of two similar polygons is 2:3.
The perimeter of the larger polygon is 150 centimeters.
Let x be the perimeter of the smaller polygon.
Now, 2/3 =x/150
⇒ x=100 centimeters
Therefore, the perimeter of the smaller polygon is 100 centimeters.
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