Answer: 96
Step-by-step explanation:
96/3 = 32 per cup 32 x 3 = 96
Split £10 into the ratio 4:1
Answer:
let the shares be 4x and 1x (4:1)
total share = 4x + 1x = 5x
total amount = 10£
5x = 10£
x = 2£
1st share = 4x = 4*2£ = 8£
2nd share = 1x = 1*2£ = 2£
.
.
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[tex]\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}[/tex]
i need help with something pls help asap
Answer: h < 7
Step-by-step explanation:
h + 3 < 10
h + 3 - 3 < 10 - 3
simplify:
h < 7
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
Please help it’s so hard for me
Answer:
Answer is d
Step-by-step explanation:
What is the perimeter, in meters (m), of ∆PRT?
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
Read more about perimeters at:
https://brainly.com/question/6465134
What is the height, x, of the equilateral triangle?
Answer:
D: [tex]4\sqrt3[/tex]
Step-by-step explanation:
Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]
A drive-through car wash can wash 10 vehicles in 45 minutes. At this rate, how long would it take to wash 4 cars?
Answer:
18
Step-by-step explanation:
First we need to know how many vehicles they can wash in a minute.
1. So you do 10/45. You get 4.5
2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.
Hope this helps! :D
answer:
7.5
I'm not good at don't hate me pls???
A theater always sets the price of a seat on the lower level, a, as $5 more than the price of a seat in the balcony, b. This situation is represented by the function a = 5 + b.
Answer:
I took the test
Step-by-step explanation:
deffenition of polynomial function
Answer:
A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.
Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?
The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
Read more about ratios and proportions at:
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Who is correct and why?
Answer:
hi there i think it is B
Step-by-step explanation:
20 points im confused with this one
Answer: D
Step-by-step explanation:
Answer:
i say go with D
Step-by-step explanation:
what triangle is formed with the angles 32 126 and 32
Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $25.00. Patrick owes Melinda 3/4 the amount that Carey owes. How much does Patrick owe Melinda?
Answer:
$18.75
Step-by-step explanation:
multiply 25 * 3/4 ( 0.75) and you get 18.75
Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes
Answer:
"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.
Step-by-step explanation:
b. po
If they work together, they need 47 minutes to dig the trench.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.
Marty can dig a 10 ft trench in 90 minutes, and in one minute
10 ft = 90
1 ft = 90/10
1ft = 9 minuted
If Chris can dig a 10 ft trench in 110 minutes, and in one minute
10 ft = 100 minute
1 ft = 100/10
1 ft = 10 minute
If they worked together x minute needed to dig 1 ft,
1/x =1/9+1/10
1/x=1/9+1/10
1=19/90 x
90x=19
x=90/19
x=4.7 minute
For 10 feet,
x = 47 minute
Thus, if they work together, they need 47 minutes to dig the trench.
Learn more about the equation here,
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Find the surface area! Please I need it quick
Step-by-step explanation:
We first find the area of a trapezium and rectangular faceFourmula to find the are of a trapezium is:Area=1/2*(B+b)*h =1/2*3.7*1.9 =3.515m²Since every rectangular face is different we gotta find each of themArea1=4.8*2.1 =10.08 m²Area2=4.8*1.4=6.72m²Area3=4.8*2.3=11.05m²Area4=4.8*1.9=9.12m²Now we find the area of the whole prismArea=3.515*2+10.08+6.72+11.05+9.12Area=44m²Sorry my wireless went down!!!Hope this helps and you already know what I would like to getWhat is the slope of this line?
Answer:
y= -3x -3
Step-by-step explanation:
Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.
Using compound interest, it is found that Blake receives an annual rate of 4.27%.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.Ivan's parameters are given by:
Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.Hence:
[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]
[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]
Blake's parameters are given by:
Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]Thus:
[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]
These amounts are equal, hence:
[tex]A_i(t) = A_b(t)[/tex]
[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]
[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]
[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]
[tex]0.12367872103r = 0.01057023172 [/tex]
[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]
[tex]r = 0.0854[/tex]
Blake's rate is:
[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]
Blake receives an annual rate of 4.27%.
A similar problem is given at https://brainly.com/question/24507395
please answer the question and how you answered it NO LINKS AND NO WEBSITES
Answer:
y= 27-6x
Step-by-step explanation:
For the first equation you add 6x on both sides which will leave us at
-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x
Given a circle with radius 5cm and using π=3.14 calculate it's circumference (I will make you Brainliest)
Answer:
Circumference = 31.4 feet
Area= 78.5 sq. feet.
Step-by-step explanation:
brainliest please?????
plzzz need urgent help I will give brainlist
I just answered the second one on your last published question , so I'm solve the first one :
[tex]2x - y \leqslant 5[/tex]
[tex]x + 2y > 2[/tex]
There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .
I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :
Option 1 : ( 1 , - 1 )
[tex]2(1) - ( - 1) \leqslant 5[/tex]
[tex]1 + 2( - 1) > 2[/tex]
So ,
[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]
[tex] - 1 > 2 \: \: \: \: \: false[/tex]
So this is not the correct option ..
_____________________________________________
Option 2 : ( 4 , 1 )
[tex]2(4) - 1 \leqslant 5[/tex]
[tex]4 + 2(1) > 2[/tex]
So,
[tex]7 \leqslant 5 \: \: \: \: false[/tex]
[tex]6 > 2 \: \: \: \: true[/tex]
Nope ...
_____________________________________________
Option 3 : ( 2 , 0 )
[tex]2(2) - 0 \leqslant 5[/tex]
[tex]2 + 2(0) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: true[/tex]
[tex]2 > 2 \: \: \: \: \: false[/tex]
Nope....
_____________________________________________
The answer must be Option 4 bcuz there's no more options left but let's check it out :
Option 4 : ( 3 , 2 )
[tex]2(3) - 2 \leqslant 5[/tex]
[tex]3 + 2(2) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]
[tex]7 > 2 \: \: \: \: true[/tex]
There it is ....
why is the product of 3/2 and 3/4 greater than 3/4
Answer: See below.
Step-by-step explanation:
(3/2)*(3/4) = 9/8
9/8, or 1 1/8 is greater than 3/4
The factor (3/2) is misleading. It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.
given:3(x-5)+1=10 prove:x=8
Answer:
x=8
Step-by-step explanation:
3x-15+1=10
3x=10+15-1
3x=24
x=24/3=8
easy
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME
Answer:
765 students
Step-by-step explanation:
x- total number of students
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students
The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.
If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;
x be the total number of students
Therefore,
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students.
Learn more about the unitary method, please visit the link given below;
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Segment GT is a median of triangle FGE. Find the length of segment FE if TE=8.
Answer:
D) 16
Step-by-step explanation:
TE=8
TE is half of FE, meaning that FE is equal to double TE.
8x2=16
Hope this helps :)
Fully Factorise : 8x^2+6x
Answer:
2(4+3) or undefined
Step-by-step explanation:
lmk if this helped
If 43 liters of water are enough to water 25 of the plants in the house, how much water is necessary to water all the plants in the house? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.
5.
Is the data point, P, an outlier, an influential point, both, or neither?
Answer:
outlier
Step-by-step explanation:
it is way to far away to be any of those other options. that means it is an outlier.
Three-fourths divided by 2 is?
Answer: i think 1/4
Step-by-step explanation: maybe i might be incorrect
Answer:
3/4 or 1 1/2
This is an easy mutiplixation problem
you just turn the 2 into a fraction.
