Answer:
The sum of 5 numbers with an average of 5 more than 5 is 50
Step-by-step explanation:
Let the first five letters of the alphabet be equal to the 5 numbers being summed.
Let the average be represented by the following equation:
[tex]\frac{a + b + c + d + e}{5} = 10[/tex]
To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides
[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]
Therefore, we see to it that the sum of the 5 numbers is 50.
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square. What is the side of the triangle?
Answer:
13 inches
Step-by-step explanation:
in an equilateral triangle all sides had we the same length.
so, the perimeter is simply 3×one triangle side.
and the perimeter of the square is 4×one square side.
x = triangle side length
y = square side length
3x = 4y + 15
x = y + 7
we use the second equation as substitution in the first equation.
3(y + 7) = 4y + 15
3y +21 = 4y + 15
6 = y
x = y + 7 = 6 + 7 = 13 inches
-6 + 5(8 - k) - 8k
Dose anyone know?
Answer:
34 - 13k
Step-by-step explanation:
Answer:
the solution is 34 - 13k
Step-by-step explanation:
two units of length used in ancient Egypt were cubits and palms, where 1 cubit is equivalent to 7 palms. the great sphinx statue in Giza is approximately 140 cubits long. which of the following best approximates the length, in palms, of the great sphinx statue? A) 0.05 B) 20 C) 140 or D) 980
Answer:
Step-by-step explanation:
option a
Find f(4) for the function below.
f(x) = |x-7| + 3
Step-by-step explanation:
f(x) = |x-7| + 3
when x is equal to 4, then
f(4) = |4-7| + 3
=-3+3
=0
Answer:
[tex]\boxed {\boxed {\sf f(4)= 6}}[/tex]
Step-by-step explanation:
We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.
[tex]f(x)= |x-7| +3[/tex]
Substitute 4 for x in the function.
[tex]f(4) = |4-7| +3[/tex]
Solve inside the absolute value signs.
[tex]f(4)= |-3|+3[/tex]
The absolute value of a number is its distance from 0 on a number line. It is always the positive version of a number, so the absolute value of -3 is 3.
[tex]f(4)= 3+3[/tex]
Add.
[tex]f(4)= 6[/tex]
For the function f(x)= |x-7| +3, f(4) is equal to 6.
Identify the number as rational or irrational.
Identify which number??
Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? How much pizza will be left over?
Answer:
5 pizzas; 1/2 of a slice
Step-by-step explanation:
18/4=
4.5; the .5 is the leftover as the pizza so Mary needs 5 pizzas to be ordered.
what is the first term, common difference, and 16th term
Answer:
The 1st term is -67
Step-by-step explanation:
I. When Sn = [tex]\frac{n}{2}[/tex]([tex]a_{1} + a_{n}[/tex])
If Sn = 124, n = 8 and [tex]a_{n}[/tex] = 98
124 = 8/2(a + 98)
124 = 4(a + 98)
124 = 4a + 392
124 - 392 = 4a
-268/4 = a
-67 = [tex]a_{1}[/tex]
Hope that help :D
number 39 show work pls tysm
Answer:
42.25/6.5=6.5 per hour
Step-by-step explanation:
Hi! I'm happy to help!
To solve this, we need to divide the amount of money by the number of hours.
You earned $42.25, over the course of 6.5 hours.
42.25/6.5
6.5
So, you earned $6.50 per hour cleaning a community park.
I hope this was helpful, keep learning! :D
Find three consecutive even numbers
such that the sum of three times the
smaller number and five times the larger
number is 40 more than twice the median
number.
Answer:
1, 4, 9
Step-by-step explanation:
1 x 3 = 3
9 x 5 = 45
total = 48
median = 4
twice median = 4×2
= 8
sum = 8 + 40 = 48
48=48
0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to
Answer:
12/99
Step-by-step explanation:
x=0.121212
100x=12.121212
100x-x=12.1212-0.1212
99x=12
x= 12/99
Answer:
6/50 is simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
parameters & values: The decimal number = 0.12step 2 Write it as a fraction
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12
50 points hurry!!!!!
find what belongs in the missing/blocked out line.
Answer:
4+7(11)
Step-by-step explanation:
the square root of 121 is 11 so it would be 4+7(11)
Answer:
4 + 7 × 11
Step-by-step explanation:
[tex]4 + 7 \sqrt{ {5}^{3} - 4} [/tex]
[tex] = 4 + 7 \sqrt{125 - 4} [/tex]
[tex] = 4 + 7 \sqrt{121} [/tex]
simplify the square root of 121
[tex] \boxed{\green{\boxed{\bold{= 4 + 7 \times 11}}}}[/tex]
[tex] = 4 + 77[/tex]
[tex] = 81[/tex]
┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱
╭─────────
┊╭─────────
┊✿꒷꒦ Thankyou
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★ . ꜝꜞ ᳝ ࣪ hope that helped! ʬʬ
(x-1)^2+(2-x)^2-3(x-5)*(x-5)
Answer:
[tex]-x^2+24x-70[/tex]
Step-by-step explanation:
[tex](x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70[/tex]
Formula used =
[tex](a-b)^2 = a^2+ 2ab + b^2[/tex]
Which rigid motion preserves the orientation of a figure after being transformed?
Question 3 options:
a)
all of the above
b)
translation
c)
rotation
d)
reflection
Answer:
Step-by-step explanation:
I think it’s translation because your just sliding the figure
What is equivalent to -23?
Can someone answer this ASAP?
NO IMAGE EXAMPLES PLEASE I CANT SEE THEM
Answer:
6.3Step-by-step explanation:
Given,
Area of a triangle = 40
Therefore,
Side of the square
[tex] = \sqrt{40} [/tex]
= 6.3245553203
= 6.3 (estimated) (Ans)
simply this equation
Answer:
b= x
Step-by-step explanation:
[tex]\boxed{ {x}^{m} \times {x}^{n} = {x}^{m + n} }[/tex]
Applying the law of indices above:
[tex]b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } [/tex]
[tex]b = {x}^{ \frac{1}{4} + \frac{3}{4} } [/tex]
[tex]b = {x}^{ \frac{4}{4} } [/tex]
[tex]b = {x}^{1} [/tex]
∴b= x
Answer:
It is b = x
Step-by-step explanation:
From law of indices:
[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]
for, multiplication: same coefficients, we sum up the powers.
[tex]b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } \\ b = {x}^{( \frac{1}{4} + \frac{3}{4} ) } \\ b = {x}^{ \frac{4}{4} } \\ b = {x}^{1} \\ b = x[/tex]
How Does 2 / 0.1 become 20?
The decimal value 0.1 converts to the fraction 1/10
This is because the 1 in 0.1 represents "one tenth", as its in the tenths place.
So this means 2/0.1 is the same as 2/(1/10) or [tex]2 \div \frac{1}{10}[/tex]
Then we can follow these steps:
[tex]2 \div \frac{1}{10} = \frac{2}{1} \div \frac{1}{10}\\\\\\2 \div \frac{1}{10} = \frac{2}{1} \times \frac{10}{1}\\\\\\2 \div \frac{1}{10} = \frac{2*10}{1*1}\\\\\\2 \div \frac{1}{10} = \frac{20}{1}\\\\\\2 \div \frac{1}{10} = 20\\\\\\[/tex]
Note in the second step, we flip the second fraction to go from a division problem to a multiplication problem. The general rule is [tex]\frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}[/tex]. The first fraction does not flip.
Last year, the Widget Corporation had $650,000 in sales. This year, sales are
down 4%. How much did the Widget Corporation sell this year?
Answer:
$624,000
Step-by-step explanation:
100-4 = 96
96/100 = 0.96
650,000 x 0.96 = 624,000
= $624,000
Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)
4 no. one i guess 10
not sure
plz help me plz!!!!!!
Answer:
6. was Narbada alienated ...?
7. did Pratima make ...?
8. did Zayasha wander ...?
9. Did Sachin behave as if...?
10. did susan look ...?
12. do sarina and sazina jump ...? (plural noun)
13. Were ... and ... aghast to...?
Step-by-step explanation:
yes/ no question:
Past simple: Did + S + V-bare...?
Passive voice (Past simple): Was/ Were + S + V3/ed (past participle)
(
Ella and Bell made $12.75 at their
lemonade stand in the morning
and $9 during the afternoon. How
much did they make at the end of
the day?
You had to show you awake
Answer:
is it $21.75
Step-by-step explanation:
add it together
Answer:
$21.75
Step-by-step explanation:
$12.75+$9=$21.75.
Solve for the value of k
Answer:
k=13
Step-by-step explanation:
3k+6+4k-7+90=180
7k+89=180
k=180-89/7
k=13
can someone plz plzplz
Step-by-step explanation:
<QTS<BCD<QPO and <ORS<EFG<ACF and <CFE<BED<TUY<ABC+<BCD=180° (being co-interior angles)1. ∠STQ
2. ∠BCD
3. ∠ORS and ∠QPO both are alternate angles of ∠POR
4. ∠EFG
5. ∠DCF and ∠CFH
6. ∠DEB
7. ∠YUT
8. 180° (because they are co-interior angles)
simplify -2(x-4)-8(6-8x)
The simplified form of the expression is 2(31x-20).
Given the expression is -2(x-4)-8(6-8x).
Expressions in mathematics are mathematical statements containing at least two terms containing numbers or variables or both connected by an intermediate operator.
The given expression is solved by using the distributive property a(b+c)=ab+bc, we get
-2(x-4)-8(6-8x)=-2x-4(-2)-8(6)-8(-8x)
-2(x-4)-8(6-8x)=-2x+8-48+64x
Now, we will simplify the above expression by adding or subtracting like terms, we get
-2(x-4)-8(6-8x)=62x-40
-2(x-4)-8(6-8x)=2(31x-20)
Hence, the simplified form of the given expression -2(x-4)-8(6-8x) is 2(31x-20).
Learn more about distributive property from here brainly.com/question/8329981
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What is the value of the expression below?
675 ÷ 3 - (15 - 12)²
PLZ HELP-
Answer:
675 ÷ 3 - ( 225 - 144)
675 ÷ 3 - (81)
225 - 81
144
I hope it's helps you
Answer:
[tex]675 \div 3 - (15 - 12) {}^{2} \\ \\ 675 \div 3 - (225 - 144) \\ \\ 675 \div 3 - 81 \\ \\ 225 - 81 \\ \\ = 144[/tex]
Help me out plzzzzzz
Answer:
∠1 = 56
Step-by-step explanation:
To find ∠1 we need to
∠1 + ∠2 = ∠ABD
∠1 + 17 = 75
∠1 = 75 -17
∠1 = 56
Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
How many times smaller is the value 29,000 than the value 290,000
urgent answer needed pls
Answer:
It's 87.
Step-by-step explanation:
See the picture upside down.
Find the kinetic energy if a body is of mass 10 kg moving with a velocity of 20 m/s
Answer:
2000 J
Step-by-step explanation:
We know that
KE = ½ mv²
KE = ½ × 10 × (20)²
KE = 5 × 400
KE = 2000 J
Now we have to,
find the required kinetic energy.
The formula we use,
→ KE = 1/2 mv²
The given information is,
→ Mass (m) = 10 kg
→ Velocity (v) = 20 m/s
Let's find the kinetic energy,
→ 1/2 mv²
→ 1/2 × 10 × (20)²
→ 5 x 400
→ [2000 J]
Thus, kinetic energy is 2000 J.