Explanation:
x = smaller number
8x = larger number, since it's 8 times larger than the smaller
8x-x = 7x = difference of the numbers
That difference is 21, so we can say 7x = 21 which solves to x = 3
The smaller number is 3 and the larger is 8x = 8*3 = 24
As a check: 24-3 = 21, which confirms the answer.
Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jeanette uses to knit a poncho (p), and explain how to represent the inequality on a number line.
Answer:
[tex]p > s[/tex]
Step-by-step explanation:
Given
[tex]p \to poncho[/tex]
[tex]s \to scarf[/tex]
Required
The inequality
From the question, we understand that;
the number of p used is more than the number of s
more than means greater than.
So, the inequality is:
[tex]p > s[/tex]
To represent this on a number line.
First, we identify the position of s (i.e. scarf)
[tex]p > s[/tex] implies that p is any point to the right of s
What is the length of leg s of the triangle below?
45
3
1072
90°
45
$
The length of the leg is 9.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
From the triangle,
S = length of the leg.
Now,
Applying the Pythagorean theorem.
√18² = 3² + s²
18 = 9 + s²
s² = 18 - 9
s² = 9
s = 9
Thus,
The length of the leg is 9.
Learn more about the Pythagorean theorem here:
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Solve for x in this inequality. Show all your work and
graph your solution.
4(x-3)<2x-4
Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
[tex]4x - 12 < 2x - 4[/tex]
Now, shift x terms and integers on each side.
[tex]4x - 2x < - 4 + 12[/tex]
After simplifying, it will get:
[tex]2x < 8[/tex]
Finally, we can solve for x.
[tex]x < 4[/tex]
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
if FBE=72 what is fge and cd?
Answer:
FGE = 44 degrees
CD = 72 degrees
Step-by-step explanation:
Let's solve for FGE first;
We know that CGD and FGE are verticals angles and therefore congruent, so if;
CGD = FGE
44 = FGE
Now let's solve for CD;
We know that arc FED is 180 since the central angle it intersects is a semicircle.We also know that arc ED is congruent to arc FC.We also know that measure of arc FBE is 72.Therefore we can say;
FED = FBE + ED
180 = 72 + ED
180 - 72 = ED
108 = ED
So;
FC also = 108
Now we know that the measure of a whole circle is 360 and here we are given 4 arcs that make up a full circle;
FBE + ED + DC + CF = 360
72 + 108 + DC + 108 = 360
288 + DC = 360
DC = 360 - 288
DC = 72
Hope this helps!
I need help solving this quick pleaseeeeeee
Answer:
Step-by-step explanation:
angle 1 and angle 2 add to 180 degree because they are supplementary angel and in supplementary angle sum of two angles is 180 degree
angle 1 and angle 3 is equal as they are vetically opposite angles and vertically opposite angles are always equal.
angle 3 and 4 add to 180 degree because they are supplementary angle and in supplementary angle sum of two angles id 180 degree.
angle 2 and angle 4 are equal because they are vertically opposite angles and vertically opposite angles are always equal.
Please help me ASAP tysm
1) An average soccer ball has a mass of .4 kg. If a soccer ball is kicked with a force of 750 Newtons, what is the acceleration of the soccer ball after it has been kicked?
2) If a tiger runs at a speed of about 12.3 m/s, how far will it travel in 25 seconds?
Answer:
1) 187.5ms^2
1) 187.5ms^22) 307.5m
Step-by-step explanation:
1) You can use the formula:
Force = Mass x Acceleration
750 = 4 x a
750 = 4a
750/4 = a
187.5ms^2
2)
For every one second it travels 12.3 meters therefore you can just do 12.3x25 = 307.5m
Evaluate e - 1/2 f when c = 15 and f =2
Answer: 14
Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:
(15) - 1/2(2)
1/2 * 2 = 1
15 - 1 = 14
A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
A store sells dolls for $10 each. They charge a one time shipping fee of $5. Write an equations that gives the number of dolls, d, if the store made $100.
Answer: 100 = 10d + 5
Step-by-step explanation:
Dolls are sold for $10 each so when checking the total amount made from the sale of d dolls you will multiply d by the price of each doll:
= 10 * d
= 10d
There is a $5 charge for shipping but this is one time so it is added to the total price of d dolls:
= 10d + 5
The total made was $100 so the equation above should equal $100:
100 = 10d + 5
7X^2+20x=24
X=?
Please answer to 2 d.p
Answer:
0.76
or
-0.76
hope this helps
Help fast please??!!
Answer:
104.6
just use the cone formula and add the two together.
The speed of an airplane is 885 km per hour. Find the distance covered by the airplane in 3 hours and 20 minutes. Also, express the distance in scientific notation. I will mark as brainliest if you give answer right
Answer:
[tex]2.95\cdot 10^3\:\mathrm{km}[/tex]
Step-by-step explanation:
Distance is given by [tex]D=st[/tex], where [tex]s[/tex] represents speed or rate and [tex]t[/tex] represents time.
What we're given:
speed of [tex]885\:\mathrm{km/h}[/tex] time of [tex]3.\overline{3}[/tex] hoursThus, the distance covered by the airplane is:
[tex]d=885\cdot 3.\overline{3}=2,950\:\mathrm{km}[/tex]
In scientific notation:
[tex]2,950\:\mathrm{km}\implies\boxed{2.95\cdot 10^3\:\mathrm{km}}[/tex]
Answer:
Distance = speed * time
The distance is:
885 * 3 20/60 = 885 * 3 1/3 = 885 * 10/3 = 2950 km2950 km = 2.95*10³ kmThe value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is.
Answer:
C. 135
Step-by-step explanation:
The value of the expression when x = 5 is 135.To find the value of the expression when x = 5, substitute the value of x into the expression and perform the calculations:
Expression: [tex](2x^2 / x) + x(100 - 15x)[/tex]
Now, replace x with 5:
[tex](2 * 5^2 / 5) + 5(100 - 15 * 5)[/tex]
Calculate the values within the parentheses first:
[tex](2 * 25 / 5) + 5(100 - 75)[/tex]
Now, perform the arithmetic inside each set of parentheses:
[tex](50 / 5) + 5(25)\\50 / 5 = 10[/tex]
Now, continue:
10 + 5 * 25 = 10 + 125 = 135
So, the value of the expression when x = 5 is 135.
To know more about expression :
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Help plzz
7. Patrick wants to buy a new computer. He already has $275 saved and plans to save $125 each month. The price of
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month. Patrick wants to
determine the number of months he will need to save
a) Ifx represents the number of months, then write an equation to represent A, the total amount Patrick saves
b) Ifx represents the number of months, then write an equation to represent the cost of the computer.
c) Use your equations from part "" and part to determine how many months he will need to save before he can
buy the computer. Show your work or explain how you got your answer.
d) If the price of the computer does not drop as expected, then how many months will it take Patrick to buy the
computer at its original cost? Show your work or explain how you got your answer.
Answer:
A) A = 275 + 125x
B) 1850 - 100x
C) 7 months
D) 13 months
Step-by-step explanation:
He has $275 saved.
He plans to save $125 each month.
We are told that the computer is currently $1,850
And the price drops $100 each month.
Thus;
A) If x represents the number of months, then equation of the amount he will save is;
A = 275 + 125x
B) If x represents the number of months, then equation to represent the total cost is;
1850 - 100x
C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;
275 + 125x = 1850 - 100x
Rearranging;
125x + 100x = 1850 - 275
225x = 1575
x = 1575/225
x = 7 months
D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;
275 + 125x = 1850
125x = 1850 - 275
125x = 1575
x = 1575/125
x = 12.6 months
Approximating to the nearest whole number gives 13 months
Tina has a greenhouse in which she grows strawberries. The sprinkler system in the greenhouse sprays a fine mist to ensure the strawberries get enough water. The strawberries are watered for a total of 2 hours and 45 minutes every day and the temperature in the greenhouse is kept constant at 25 °C. The clock below shows the time each morning when the sprinkler system is switched off
Answer:
a) 9:11 am
b) 77°F
Step-by-step explanation:
a) From the clock shown in the image attached, we can see that the time that the sprinkler system is switched off is at 11:56 am. Since the strawberries are watered for a total of 2 hours and 45 minutes every day, the time that the sprinkler is switched on can be gotten by subtracting 2 hours 45 minutes from 11:56 am. Hence:
Time sprinkler system is switched on = 11:56 am - 2 hours 45 minutes = 9:11 am
b) Temperature in °Farenheit = (1.8 * temperature in degree Celsius) + 32°
Temperature in °Farenheit = (1.8 * 25°) + 32° = 45° + 32°
Temperature in °Farenheit = 77°F
please may I get help please
whish way should I use
Answer: B.
Step-by-step explanation:
Data: Estimate of 7.21x3.86/10.09=x
Only step, Find the estimate for each number(7.21=7, 3.86=4, 10.09=10)
Explanation: How estimation work is that it numbers below 5 stays the same and numbers 5 and above round up so a number like 7.21 which has 2 and 1 as it's rounding numbers will stay the same however a number like 3.86 which has 8 and 6 as it's rounding numbers will round up
That's how we arrive at the answer of B.
I hope this helps(Mark brainliest if you'd like)
how do you solve 8/14 = 2/x
Answer:
x = 3 1/2
Step-by-step explanation:
8/14 = 2/x
Using cross products
8*x = 14*2
8x = 28
Divide by 8
8x/8 = 28/8
x = 7/2
x = 3 1/2
Is this true or false!!! Need help!
Answer:
false
Step-by-step explanation:
false
Answer:
it is false it'll be (-infinity,infinity )
Step-by-step explanation:
Hope this helps!! <3
Round 9.107 to the nearest tenth.
Answer:
9.1
Step-by-step explanation:
Answer:9.1
Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point
please help with number 5 (20 pts) those who answer all on the screen gets brainliest
Answer:
True
Step-by-step explanation:
This is an Isosceles triangle because it has two equal sides.
durante un frente frío, la temperatura Canadá bajó de 7°C a -5°C ¿Cuántos grados bajo la temperatura
Answer:
Durante el frente frío mencionado en el ejercicio, la temperatura de Canadá bajó:
12°C.Step-by-step explanation:
Para obtener la cantidad de grados que bajó la temperatura en el caso mencionado, debes primero identificar la disminución en los grados positivos, es decir, cuando los grados Celsius llegaron a 0°C:
Diferencia entre 7°C y 0°C = 7°CEn la operación matemática, solo restante la cantidad de grados necesarios a la temperatura inicial (7°C) para que la temperatura quedara en 0°C, donde obtenemos una diferencia de 7°C, ahora identificas la cantidad de grados que se necesitan para que la temperatura pase de 0°C a -5°C:
Diferencia entre 0°C y -5°C = 5°CRecuerda que como ya estamos hablando de diferencia, no necesitas señalar si los grados son negativos, solo identificamos el número de grados Celsius entre esas temperaturas mencionadas, por lo tanto, al final sumas las dos diferencias halladas y esa será la diferencia total entre las dos temperaturas dadas:
Diferencia entre 7°C y -5°C = 7°C + 5°CDiferencia entre 7°C y -5°C = 12°CPor lo tanto, durante el frente frío mencionado, la temperatura en Canadá bajó 12°C.
Which describes 9 and -9?
Answer:
opposite of each other
Hope this helps!
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches
Answer:
The absolute change in the height of the water is 9.5 inches
Step-by-step explanation:
Given
[tex]l =24in[/tex] --- length
[tex]w = 15in[/tex] --- width
[tex]h =12in[/tex] --- height
[tex]V_1 = 900in^3[/tex] --- the volume removed
Required
The absolute change in the height of the water
First, calculate the base area (b):
[tex]b = l * w[/tex]
[tex]b =24in * 15in[/tex]
[tex]b =360in^2[/tex]
The height of the water that was removed is:
[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area
[tex]H = \frac{900in^3}{360in^2}[/tex]
[tex]H = \frac{900in}{360}[/tex]
[tex]H = 2.5in[/tex]
The absolute change in height is:
[tex]\triangle H = |h - H|[/tex]
[tex]\triangle H = |12in - 2.5in|[/tex]
[tex]\triangle H = |9.5in|[/tex]
[tex]\triangle H = 9.5in[/tex]
If f(x) = x2 – 1, and
g(x) = x + 2, then
f(g(x)) = [ ? ]x2+[ ]x+]
Answer:
f(g(x)) = x^2+4x+3
Step-by-step explanation:
f(x) = x^2 – 1
g(x) = x + 2
f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3
On George's block, the ratio of cars to houses is 8 to 5. There are 32 cars, how many houses are there?
Answer:
Step-by-step explanation:
20 houses
Answer:
20
Step-by-step explanation:
You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.
**You may want to revise multiplying and dividing with ratios. I'm always happy to help!
Find the value of. X (will mark brainliest)
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]5x=3x+60[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]2x=60[/tex]
[tex]/2[/tex] [tex]/2[/tex]
[tex]x=30[/tex]
Check:
[tex]5(30)=3(30)+60[/tex]
[tex]150=90+60[/tex]
[tex]150=150[/tex]
Hope this helps!
how to get the interval?
Step-by-step explanation:
Decide on the number of classes.
Determine the range, i.e., the difference between the highest and lowest observations in the data.
Divide range by the number of classes to estimate approximate size of the interval
hope it helps.
stay safe healthy and happy...Given tan t = 2/3 and that pi <= t <= 3pi/2. Find exact value for each of the following:
a) sec t
b) cos t
c) sin t
d) csc t
e) cot t
well, first off let's notice something about angle "t", is between π and 3π/2, or namely the III Quadrant, where both "x" or adjacent side as well as "y" or opposite side are negative.
something else noteworthy is that, the hypotenuse is just a radius length and thus is never negative.
[tex]tan(t)=\cfrac{2}{3}\implies tan(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{adjacent}{-3}}\qquad \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c =\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+(-2)^2}\implies c = \sqrt{9+4}\implies c = \sqrt{13}[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sec(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{adjacent}{-3}}~\hfill cos(t)=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-3\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-3\sqrt{3}}{13}[/tex]
[tex]sin(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-2\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-2\sqrt{13}}{13} \\\\\\ csc(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{opposite}{-2}}~\hfill cot=\cfrac{\stackrel{adjacent}{-3}}{\underset{opposite}{-2}}\implies \cfrac{3}{2}[/tex]
(3)/(4)x-3=(2)/(5) write this without fractions
3x -17
4 -5 =0
3(x-4)=2
4 5
