Answer:
The answer is below
Step-by-step explanation:
The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.
[tex]\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y[/tex]
Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x
The nephew height is doubled, therefore his new height is 2y.
Given that Keith is now 34 cm taller than his nephew
1.16x = 2y + 34
but x = (15/7)y
[tex]1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm[/tex]
The nephews new height = 2y = 2(70) = 140 cm
Keith new height = 2y + 34 = 140 + 34 = 174 cm
Their total current height = 140 cm + 174 cm = 314 cm
The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.
Answer:
U B = 100.5
Step-by-step explanation:
the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm
The upper bound of the size of the television screen is 100.5 cm
The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.
Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:
i.e.
= (1/2) + 100 cm
= 0.5 + 100 cm
= 100.5 cm
Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm
Learn more about nearest value here:
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Jermiah answer 90% of the questions on his test correctly. There are 40 questions on the test
Answer:
36 answered correctly
Step-by-step explanation:
Hey there!
Well 90% of 40 is 36.
This is true because 90% as a fraction not simplified is 36/40 and when we do,
36 ÷ 40 we get .9.
And we move the decimal places 2 times to the right in .9 and we get 90%.
Hope this helps :)
Answer:
36
Step-by-step explanation:
Let f (x) = x – 4 and g(x) = 6 - x
Evaluate g(f(10)).
G(f(10))
First solve f(x) by replacing x with 10:
F(x) = x-4 = 10-4 = 6
Now replace x in g(x) with 6
G(x) = 6-x = 6-6 = 0
So g(f(10)) = 0
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.
Answer:
the perimeter of ΔABC is 32in
Step-by-step explanation:
We know that intersection point of the angle bisectors refers to the incenter of the triangle,.
Given tmthe radius of 4inch for the centre of the incircle.
One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value
In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as
d = 1/2(a +b -c)
And a, b, c represent lengths of the sides
We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the
distance from the right-angle vertex C to the incircle touchpoints .
We can determine the sum a+b as
4 = (1/2)(a+b -12) .
4/(1/2)= (a+b -12)
8= (a+b -12)
20=a+b
Which is the addition of length of the two legs of the triangle.
We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.
perimeter = 20 in + 12 in = 32 in
Therefore, the perimeter of ΔABC is 32in
Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar
Answer:
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Step-by-step explanation:
La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:
[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]
[tex]x = \frac{56\,manzanas}{7}[/tex]
[tex]x = 8\,manzanas[/tex]
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
20 points! Thank you :)
Answer:
[tex]\Large \boxed{x=-2 \ \mathrm{and} \ x=3}[/tex]
Step-by-step explanation:
The quadratic expression is given.
[tex]2x^2-2x-12=0[/tex]
Factor the left side of the equation.
[tex]2(x+2)(x-3)=0[/tex]
Set the factors equal to 0.
[tex]x+2=0[/tex]
[tex]x=-2[/tex]
[tex]x-3=0[/tex]
[tex]x=3[/tex]
The two solutions work in the original equation. The solutions make the equation true.
The quadratic expression:
[tex]2 {x}^{2} - 2x - 12[/tex]
★ By split middle term,we get
[tex]2 {x}^{2} - 6x + 4x - 12[/tex]
[tex]2x(x - 3) + 4( x - 3)[/tex]
[tex](2x + 4) (x - 3)[/tex]
[tex]2x + 4 = 0 \: \: and \: \: x - 3 = 0[/tex]
[tex]2 x = - 4 \: \: and \: \: x = 3[/tex]
[tex]x = - 2 \: \: and \: \: x = 3[/tex]
Therefore , the two solution of given quadratic equations is -2 and 3.
f(x) = -7x^2+8x+2f(x)=−7x 2 +8x+2
Answer:5
Step-by-step explanation:
What type of number is that? Multiple answers.
Answer:
A & C
Step-by-step explanation:
-9 is a whole number is rational
complete the square to solve
f(x)=x^2+6x-7
Convert 1.2 radians to an
angle in degrees
Answer:
Below
Step-by-step explanation:
Let x be the measure in degrees
● x/180 = 1.2/Pi
Cross multiply the values
● x*Pi = 180×1.2
● x = 216/Pi
Take Pi = 3.14
● x = 68.78 wich is approximatively 69°
Flight time from Houston to Orlando is 2 hours to 20 minutes. I arrived at Orlando at 4:15 pm. What time did I set of ?
Answer:
1:55 pm
Step-by-step explanation:
So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston. So, lets start with the easy part: let's subtract the 2 hrs part.
2 hrs earlier from 4:15 pm is 2:15 pm.
Then, you have to subtract the 20 minutes. Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes. Just subtract the 15 minutes from the 2:15 pm. However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.
So, 2:00 pm minus 5 minutes would equal 1:55 pm.
Special right triangles
Answer: please find the attached files
Step-by-step explanation:
A unit circle formula and special triangle of 45, 30 and 60 degrees can be used to solve the problem.
Please find the attached files for the solution
PLEASE HELP DO TODAY IN A FRW MINUTESSS
Given that v = u + 10t, find y when
u= 6 and t = 9.
Answer:
hey here is the answer
Step-by-step explanation:
Subject of the formula:
It is a variable which is expressed in terms of other variables involved in the formula.
Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.
For example:
In the formula v = u + at, v is the subject.
To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.
Changing the subject of the formula:
To change the subject of a formula, begin with the variable to become the new subject, and apply inverse operation as for solving equations in the opposite order to the order conventions.
1. To make ‘u’ the subject of the formula in v = u + at,
[subtract at from both sides]
v - at = u
or, u = v - at
2. To make ‘t’ the subject of the formula, v = u + at,
[subtract u from both sides]
v - u = at
or, (v - u )/a = t
or, t = (v - u)/a
Change the Subject of a Formula
The value of the equation is v = 96 when u = 6 and t = 9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
v = u + 10t be equation (1)
when u = 6 and t = 9
Substitute the value of u and t in the equation , we get
v = 6 + 10 ( 9 )
On simplifying the equation , we get
v = 6 + 90
v = 96
Therefore , the value of v is 96
Hence , the equation is v = 96
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rational number 3 by 40 is equals to
Answer:
6/80, 9/120, 12/160 etc
Answer:
3/40 = 6/80 = 9/120 = 12/160 etc......
Hope it helps
Mark it as Brainliest pls!!!!! ( the crown icon)
I need Help please answer :((
Answer:
Second option is the correct answer
[tex] {3}^{ - 4} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 8} . {3}^{4} = {3}^{ - 8 + 4} = {3}^{ - 4} [/tex]
Answer:
The answer is D because you multiply the exponents so -8 times 4 is -32
Hope this helps and plz mark branliest!
Step-by-step explanation:
Will give Brainliest, Please show work.
I need help
2x+10=14
x=2
Area: 14.4= 56
3x+16=25
3x=9
x=3
17x-1,7=37,4
17x=39,1
x=2,3
28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and
distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?
Answer:
2 1/3 cupcakes
Step-by-step explanation:
A cupcake can make 3 four cups of flour
In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes
= 56/24 = 2 1/3 cupcakes
Given that T{X: 2<x ≤ 9} where x is an integer. what is n(T)
Answer:
n(T) = 7Step-by-step explanation:
Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}. note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;
If 2<x ≤ 9 then 2<x and x≤9
If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.
Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.
Since the set T = {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.
Hence n()n(T) = 7 (since there are 7 elements in the set T)
what is the value of the angle ?
Answer:
47°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
124° is an exterior angle , thus
77 + ? = 124 ( subtract 77 from both sides )
? = 47°
If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.
A. 9 B. 8 C. 7 D. 5
So our set of numbers is 5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5 does equal 7 so therefore A is your answer
the fastest land dwelling creature is the cheetah. fact or
opinion
Answer:
True.
Step-by-step explanation:
Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.
The second fastest land animal is the Pronghorn antelope at 98kph (60mph).
Answer:
It is a Fact because it can run 70mph or 112kph
Which expression is equivalent 6+7n+4+8n?
Answer: 5(2+3n)
Step-by-step explanation:
Answer:
15n + 10 should be your answer.
Step-by-step explanation:
In a bag of M&MS there are 4 green, 6 yellow and 8 blue candies. What is the probability of drawing a blue then a green if you replace the candy after the draw?
Answer:
8/81
Step-by-step explanation:
8/18 x 4/18 = 32/324 = 8/81
The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.
The probability for blue = 8/18
The probability for green = 4/18
The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-
Probability = 8/18 x 4/18
Probability = 32/324
Divide the number 32 by 324 to get the probability.
Probability = 8/81
Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.
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3y=-2x+1593 divide each side by 3
Answer:
y = -2x/3 + 531
Step-by-step explanation:
A.) 170
B.) 300
C.)280
D.)155
Please help me
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]
which simplifies down a bit to
[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to
[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
I WANT TO PASS HIGH SCHOOL PLEASE HELP
Given that the quadrilateral EFGH is a trapezoid, m∠H = 62° and m∠HEG = 64° calculate m∠FEG
Answer:
m∠FEG == 54°
Step-by-step explanation:
you should know that m∠FEG is equal m∠EGH. this is because sides HE and FG are equal this also means opposite angles of this sides (m∠FEG and m∠EGH) are equal.
first find the measure of m∠EGH from triangle EHG.
m∠H + m∠HEG + m∠EGH= 180°
62° + 64° + m∠EGH = 180°
m∠EGH=180° - 126°
m∠EGH=54°
due to the fact that sides HE and FG are equal thus opposite angles of sides HE and FG are also equal.
m∠FEG = m∠EGH = 54°
m∠FEG =54°
To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?
Answer:
1 pint
Step-by-step explanation:
You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.
Answer:
1 pint
Step-by-step explanation:
12c=4p
divide both sides by 4
3 cookies needs 1 pint!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm
Answer:
P = 98 cmStep-by-step explanation:
Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.
[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]
Perimeter:
P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98
Plz help Solve: y-17= -37
Answer:
-20
Step-by-step explanation:
First thing you do is set up your equation:
y-17= -37
+17 +17 Next you add 17 to both sides
------------- Follow your integer rules
y= -20
We can check this by putting it back into the solution
-20-17= -37 Integer Rules
You use KCC aka Keep Change Change
= -20+ -17= -37
