The answer is 1400, good luck
The diagram shows a cuboid 4cm 5cm 9cm what is the volume of the cuboid
Answer:
180cm cubed (the tiny three symbol)
Step-by-step explanation:
4 x 5 x 9
(4 x 5) x9
20 x 9
=180cm cubed
The doctor told my dad he should drink 72 ounces of water every day.
How many cups of water should he drink per day? (There are 8 ounces in a cup.) Write and solve an equation to represent this problem.
How many quarts of water is that? Write and solve an equation to represent this problem.
Answer: 9 cups
Step-by-step explanation: 8 multiply it by 9 .
Can someone please help me with this please and thankyou
Answer:
∠ABC = 55°
Step-by-step explanation:
Alternate Interior Angles Theorem
If a line (AC) intersects a set of parallel lines (m and n) in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
⇒ ∠BAC = ∠DCA
⇒ ∠BAC = 50°
The interior angles of a triangle sum to 180°
⇒ ∠BCA + ∠BAC+ ∠ABC = 180
⇒ 75 + 50 + ∠ABC = 180
⇒ ∠ABC = 180 - 75 - 50
⇒ ∠ABC = 55°
8 oz of cream cheese for $1.98 or 1 pound for 3.75?
There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75
Hello I really needs some help this is algebra
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[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]
✳︎ 5-3x=-10. what is x?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
➪ First, subtract 5 on both sides:-
-3x=-10-5
❒ Which simplifies to:-
✩ -3x=-15
Divide by -3 on both sides:-
✩ x=5
So we conclude that the value of x is 5.
Good luck.
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I will give brainliest to whoever gives me the correct answer once I figure out how
two boys decided to buy a computer. The second boy had 5/6 of the amount of money the first had. The first boy had 7/8 of the price of the computer. Together they had $696 more than they needed to pay. What was the price of the computer
Answer:
1152$
Step-by-step explanation:
b1 = 7/8 C
b2 = 5/6 b1 = 35/ 48 C
7/8 C + 35/48 C = C + 696
42/48 C + 35/48 C = 48/48 C + 696 * 48/48
(42 + 35 - 48 ) C = 696 * 48
29 C = 33408
C =1152.
add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression b square +10b
Answer:
+ 25
Step-by-step explanation:
b² + 10b
using the method of completing the square
add ( half the coefficient of the b- term)²
b² + 2(5)b + 25
= (b + 5)² ← a perfect square
if [tex]\frac{1}{x} +\frac{2}{3x} =4[/tex], what is the value of x
Answer:
[tex] \frac{5}{12} [/tex]
Hope it helps............
Book-club members are required to buy a minimum number of books each year. Leslee bought 3 times the minimum. Denise bought 7 more than the minimum. Together, they bought 23 books. What is the minimum number of books?
Answer: 4 books
Step-by-step explanation:
x = minimum number of book
Leslee
= 3x (bought 3 times the minimum)
Denise
= x + 7 (bought 7 more than the minimum)
Together
= (3x) + (x + 7)
(3x) + (x + 7) = 23 (books they bought together)
3x + x + 7 = 23
3x + x = 23 - 7 (isolate the like variables together)
4x = 16 (divide both sides by 4)
x = 4
4 is the minimum number of books
To check:
3(4) + (4+7)
12 + 11 = 23
Line v passes through points (10, 9) and (1, 13). Line w is perpendicular to v. What is the slope of line w?
Answer:
9 / 4
Step-by-step explanation:
The slope of line V can be found using the formula for slope: (y2 - y1) / (x2 - x1).
(y2 - y1) / (x2 - x1)
(13 - 9) / (1 - 10)
(4) / (-9)
Two slopes are perpendicular when the values are reciprocals. The slope of line V is 4 / (-9). The reciprocal of this is: 9 / 4.
2. A tent is cylindrical in shape with a conical top above it. The radius of the base of the tent is 7 m. The height of the cylindrical part is 10 m and the height of the conical part is 4 m. Find the volume of air in the tent and the area of canvas cloth needed to construct the tent.
Work out the angle x
2x
3.
Answer:
x = 30
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+2x+3x = 180
Combine like terms
6x= 180
Divide each side by 6
6x/6 = 180/6
x = 30
Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any point (x, y)
The expressions which represents the slope of a tangent to the curve [tex]y=\frac{1}{x+1}[/tex] at any point (x, y) are:
[tex]f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}[/tex]
The slope of a tangent to the curve.Mathematically, the slope of a tangent line to the curve is given by this equation:
[tex]f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}[/tex]
Given the function:
[tex]f(x)=y=\frac{1}{x+1}[/tex]
When (x + h), we have:
[tex]f(x+h)=y=\frac{1}{x+h+1}[/tex]
Next, we would find the derivative of f(x):
[tex]f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}[/tex]
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In this figure: the value of “y” that makes the quadrilateral “A B C D” a parallelogram is:
Answer:
y = 10
Step-by-step explanation:
if the figure is to be a parallelogram, then
∠ ACB and ∠ DAC are alternate angles and are congruent , that is
5y - 13 = 7 + 3y ( subtract 3y from both sides )
2y - 13 = 7 ( add 13 to both sides )
2y = 20 ( divide both sides by 2 )
y = 10
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
Group of answer choices
800 J/kgC
1200 J/kgC
300 J/kgC
450 J/kgC
Answer:
Step-by-step explanation:
800 J/kgC
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
it is 800 J/kgC
Solve the following equation for b.
13b = 6b + 14
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[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the following equation for b.
13b=6b+14
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First of all, we need to make sure that all the variables are on one side (the left-hand side, LHS) and numbers are on the right-hand side, RHS.
Here we have variables on the right-hand side, so we can move that term to the left-hand side, making sure to use the opposite operation:-
13b=6b+14 Subtract 6b on both sides, which results in:-
7b=14 Divide by 7 on both sides, which results in:-
b=2 We've found the value of b. Now, we need to check our solution by replacing b with the value of b, 2, and seeing whether or not we end up with a true statement:-
13(2)=6(2)+14 Multiply.
26=12+14 Now add.
26=26 Since the left-hand side does equal the right-hand side, we conclude that our solution, b=2, is correct.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve the following systems of equations:
[tex]1.& \left\{\begin{matrix} 5x-3y-z=1&\\ x+4y-6z=-1& \\ 2x+3y+4z=9& \end{matrix}\right.\\ \ \\ 2.& \left\{\begin{matrix} x+y=7& \\ x\times y=12& \end{matrix}\right.\\ \ \\ 3.& \left\{\begin{matrix} x^2+y^2=169& \\ x+y=17& \end{matrix}\right.\\ \ \\ 4. & \left\{\begin{matrix} y^2-2y+1=x & \\ \sqrt{x}+y=5 & \end{matrix}\right. \end{align*}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf 1) \ \left\{\begin{matrix} 5x-3y-z=1&\\ x+4y-6z=-1& \\ 2x+3y+4z=9& \end{matrix}\right. \end{gathered}$}[/tex]
The coefficient matrix associated with the system is constructed and the columns and rows are reduced.
[tex]\left ( \begin{array}{ccc|c} 5 & -3 &-1 &1\\ 1 & 4 & -6 &-1\\ 2 & 3 & 4 & 9 \end{array} \right ) \begin{array}{c} \xrightarrow[\textup{F}_3- 2\textup{F}_2]{\textup{F}_1 - 5\textup{F}_2} \end{array} \left ( \begin{array}{ccc|c} 0 & -23& 29 &6\\ 1 & 4& -6 &-1\\ 0 & -5 &16 & 11 \end{array} \right )\\ \ \\ \ \\ \begin{array}{c} \xrightarrow[]{23\textup{F}_3 - 5\textup{F}_1} \end{array} \left ( \begin{array}{ccc|c} 0 & -23& 29 &6\\ 1 & 4& -6 &-1\\ 0 & 0 & 223 & 223 \end{array} \right )[/tex]
So, z=1. Translating the last matrix to the associated system of equations, we have that x=1, y=1, since:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{align*} y&=\dfrac{6-29}{-23}=\dfrac{-23}{-23}=1\\ x = -1+6-4=1 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{2) \ \left\{\begin{matrix} x+y=7& \\ x\times y=12& \end{matrix}\right. } \end{gathered}$}[/tex]
Clear an unknown in the first equation and substitute the resulting expression in the second. Next, the quadratic equation is solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ y=7-x \quad \Longrightarrow \quad 12=x(7-x)=7x-x^2 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ 0=x^2-7x+12=(x-4)(x-3); } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x_1=4\qquad x_2=3 \Longrightarrow y_1=3 \qquad y_2=4 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{3) \ \left\{\begin{matrix} x^2+y^2=169& \\ x+y=17& \end{matrix}\right. } \end{gathered}$}[/tex]
Clear an unknown in the first equation and substitute the resulting expression in the second. Next, the quadratic equation is solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{ y=17-x \quad \Longrightarrow \quad 169=x^2 +(17-x)^2=x^2+x^2 -34x+289 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{ 0=2x^2-34x+120=2(x^2-17+60)=2(x-12)(x-5); } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{ x_1=4\qquad x_2=3 \Longrightarrow y_1=3 \qquad y_2=4 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{4 \ \left\{\begin{matrix} y^2-2y+1=x & \\ \sqrt{x}+y=5 & \end{matrix}\right. } \end{gathered}$}[/tex]
Substitute the expression that represents x into the second equation. Then both sides of the equation are squared and solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{ \sqrt{y^2-2y+1}+y=5\quad \Longrightarrow\quad \left ( \sqrt{y^2-2y+1} \right )^2=(5-y)^2 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{ y^2-2y+1=y^2-10y+25\quad \Longrightarrow\quad 8y=24; } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{ y=6 \qquad x=4 } \end{gathered}$}[/tex]
A high-interest savings account pays 5.5% interest compounded annually. if $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit? sigma-summation underscript n = 1 overscript 10 endscripts 300 (0.055) superscript n minus 1 sigma-summation underscript n = 1 overscript 10 endscripts 305.5 (1.055) superscript n minus 1 sigma-summation underscript n = 1 overscript 10 endscripts 316.5 (0.055) superscript n minus 1 sigma-summation underscript n = 1 overscript 10 endscripts 316.5 (1.055) superscript n minus 1
The summation that represents the money in the account 10 years after the initial deposit is P(10) = 300(1.055)^10
Exponential equationsExponential equations are equations that increase geometrically
The formula for calculating the compound. interest is expressed as:
P(t) = P0(1+r)^t
Given the following
P0 =. $300
r = 5.5% = 0.055
t = 10years
Substitute
P(10) = 300(1+0.055)^10
P(10) = 300(1.055)^10
Hence the summation that represents the money in the account 10 years after the initial deposit is P(10) = 300(1.055)^10
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Answer: D
Step-by-step explanation:
a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!
The number of cable TV systems recently decreased from 20, 000 to 8.500 Find the percent of decrease Round to the nearest tenth of a percent.
A: 8.1%
B: 12.5%
C: 75%
D: 81.1%
Answer:
B: 12.5%
Step-by-step explanation:
You take the 20.000- 8.500 the number decreased with= 11.5.
You then round of your answer to the nearest 10th, the number 11,5 will change to 12,50.
Factorise X squared add 4X
Answer:
[tex]\huge\boxed{\sf x(x + 4)}[/tex]
Step-by-step explanation:
Given expression:
x² + 4x
Take x common
x(x + 4)
[tex]\rule[225]{225}{2}[/tex]
In a school, 60% of students have access to the internet at home. A group of 8 students is chosen at random. Find the probability that at least 6 students have access to the internet.
How many Pennies did she collect in total
Answer: 4
Step-by-step explanation:
The art teacher, ms. garcia, gave each student half a sheet of paper. then she asked the students to color one fourth of their sheets of paper. what part of the original sheet did the students color?
The students will colour the 1/8th part of the sheet given to them by their teacher.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:-
The art teacher, ms. garcia gave each student half a sheet of paper. then she asked the students to colour one-fourth of their sheets of paperNow the sheet student have = 1 / 2
Students will colour 1/4th of the sheet they have = ( 1/2 x 1/4 )
= 1 / 8
Therefore the students will colour the 1/8th part of the sheet given to them by their teacher.
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To join the game club, you must pay $7 a month plus
$3 per game (x) that you download. Write an
expression to show the total cost per month to be a
member of the game club.
Answer: Total cost/month = 7 + 3x
Step-by-step explanation:
This is only the total cost per month that is why it is only 7 and 3x since the number of downloaded games is not given.
I'm not sure about my answer but I hope that it helps.
. What number decreased by 5% of itself equals 703?
Answer:
The number is 740
Step-by-step explanation:
Hello!
Let the number that we want to solve for be x.
100% of x is x, but a decrease of 5% if 95% of x.
Solve for x95% of x = 7030.95x = 703x = 703 ÷ 0.95x = 740The number is 740.
Check5% of 740 0.05(740) = 37740 - 37 = 703The solution is correct.
What is the volume of the cylinder 6yd and 11yd
Answer:
Volumer of cylinder
=(πd²/4)×h
=(36π/4)11
99π yd³
Ciara bought four burgers.
She paid with a £20 note and got £6 change.
a
How much did each burger cost?
£3.50 for each burger
3.50×4= 14 left over is 6 from the 20 pound note
A parabola can be drawn given a focus of (6, 0) and a directrix of y=8 Write the equation of the parabola in any form.
Answer:
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:
Step-by-step explanation: