Answer:
1) x=14
2) n=21/8=2.625
Step-by-step explanation:
1)
So we have the equation:
[tex]\frac{x}{16}-\frac{1}{2}=\frac{3}{8}[/tex]
First, let's remove all the fractions. Multiply both sides by the LCM of 16, 2, and 8, which is 16. So:
[tex]16(\frac{x}{16}-\frac{1}{2})=16(\frac{3}{8})[/tex]
Distribute:
[tex]16(\frac{x}{16})-16(\frac{1}{2})=16(\frac{3}{8})[/tex]
Simplify:
[tex]x-8=6[/tex]
Add 8 to both sides:
[tex]x=14[/tex]
So, the value of x is 14.
2)
We have:
[tex]\frac{3n}{7}-1=\frac{1}{8}[/tex]
Again, let's remove the fractions by multiplying both sides by the LCM of 7 and 8, which is 56. So:
[tex]56(\frac{3n}{7})-56(1)=56(\frac{1}{8})[/tex]
Simplify:
[tex]24n-56=7[/tex]
Add 56 to both sides:
[tex]24n=63[/tex]
Divide both sides by 24:
[tex]n=63/24[/tex]
Reduce:
[tex]n=21/8=2.625[/tex]
And we're done!
Jake has a 1 in 5 chance of winning the egg and spoon race.
What is the probability that he will not win the race?
4/5
subtract 1/5 from 5/5.
Answer:
4/5
Step-by-step explanation:
if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5
Diane delivers newspapers for $5 a day plus $0.04 per
newspaper delivered. Jeremy delivers newspapers for $2 a
day plus $0.10 per newspaper delivered. How many
newspapers would Diane and Jeremy each need to deliver in order to earn the same amount?
30
75
83
50
Answer:
50
Step-by-step explanation:
For x number of newspapers, their earnings are:
D = 5 + 0.04x
J = 2 + 0.10x
5 + 0.04x = 2 + 0.10x
3 = 0.06x
x = 50
- 7x + 14 = 4x - 19
Please help
Answer:
-7x+14=4x-19
-7x
14-3x-19
-3x-15
Step-by-step explanation:
a pound of chocolates costs 6 dollars. chris buys p pounds. write an equation to represent the total cost c that chris pays.
Answer:
y=6x+p
Step-by-step explanation:
Answer:
6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c
Answer quick plzz...........................
Answer:
.
Step-by-step explanation:
What is the value of Negative 9 r minus 7 when r = 2?
Answer:
-25
Step-by-step explanation:
-9r - 7
-9(2) - 7
-18 - 7
-25
what are the coordinates of c’s after abc is translated 3 units to the left and 5 units up
Answer:
the coordinates are -2, -1.
Step-by-step explanation:
Answer:
(-2,-2)
Step-by-step explanation:
between what two integers is √15
Answer:
3 and 4
Step-by-step explanation:
Use a calculator:
√15 ≈ 3.87298...
or
since you know √9 = 3 and √16 = 4
and √15 is between √9 and √16 you can say √15 is between 3 and 4
Put the following numbers in order from least to greatest (put the lowest number on the left)
-63,-34,-68,-44,-47
Answer:
-68 < -63 < -47 < -44 < -34
Maggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?
Her answer should be One-half mile because there are 5,280 feet in a mile.
Her answer should be One-half mile because there are 10,560 feet in a mile.
Her answer should be 2 miles because there are 5,280 feet in a mile.
Her answer should be 2 miles because there are 10,560 feet in a mile.
Answer: C
Step-by-step explanation:
The answer is “ Her answer should be 2 miles because there are 5,280 feet in a mile“
(Aka: C/3.)
If you don’t belive me that’s okay, but it’s right, I just finished the pre-unit test . Hope you do good and keep those grades up!!
Comment Done if you read this
1/100000 as a power of 10
Answer:
10⁻⁵
Step-by-step explanation:
1 / 100000
1 / 10⁵
10⁻⁵
After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information in the question,
The given fraction is,
1/10000
The value, 100000 is in the denumerator so, the power should be in negative.
So, it can be written as,
1 × 10⁻⁵.
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Factor each Polynomial. 3x² + 28x + 32=
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]
[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]
WILL MARK BRAINLIEST
If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Angle A and angle B are complementary angles. If m angle A = (x + 8) and m
angle B = (8x + 1)", then find the measure of angle A.
Same and Different
18+(-4)=?
-5+(-18)=?
9+(-18)=?
-18+18=
please help me with the answers!!!
thanks
Answer:
Step-by-step explanation:
18+(-4)= 18 - 4 = 14
-5 + (-18) = - 5 - 18 = - 23
9 + (-18) = 9 - 18 = - 9
-18 + 18 = 0
What is the measure of ZA?
Please help
Which of the following is an equation of the line with slope 2 that passes through the point (-1,-4)
Show complete working format
Answer:
y = 2x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
Slope m = 2
Random point (-1, -4)
y = 2x + b
Step 2: Find b
-4 = 2(-1) + b
-4 = -2 + b
-2 = b
Step 3: Rewrite linear equation
y = 2x - 2
which is the solution to this system of equations?
2x+y=8
2x+y=4
Answer:
2x+y=8
x=3 y=2
2x+y=4
x=1.5 y=1
Step-by-step explanation:
I dont have a step by step answer but i hope this helps!
26 divided by 5 1/2 I dont know!!
Answer:
4.727
Step-by-step explanation:
An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.
Hope this helps!
Hey there!☺
[tex]Answer:\boxed{4\frac{8}{11}}[/tex]
[tex]Explanation:[/tex]
[tex]26/5\frac{1}{2}[/tex]
Divide both fractions.
[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]
52/11 needs to be simplified so let's simplify it.
[tex]\frac{52}{11}=4\frac{8}{11}[/tex]
[tex]4\frac{8}{11}[/tex] is our final answer.
Hope this helps!
Need help please. Please help me.
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
It's important to note here that fractions are just another way of representing division.
Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].
To divide two fractions, we multiply by the reciprocal.
[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]
We can now multiply the numerators and denominators.
[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]
We can simplify this fraction by dividing both the numerator and denominator by 2.
[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]
So, [tex]\frac{5}{14}[/tex].
Hope this helped!
Point B lies on segment AC . Find the length of segment BC if AB = 3.7 cm and AC = 7.2 cm.
Answer:
3.5 centimeters
Step-by-step explanation:
The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.
can someone help me find the missing side using the pythagorean theorem?
Answer:
√3
Step-by-step explanation:
(2√3)²+x²=(√15)²
(4*3)+x²=15
12+x²=15
x²=15-12
x²=3
x=√3
It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?
Corinne do 4 pages homework in one hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Corinne take 3 hours to do 12 pages of homework.
Since, We have;
Corinne take 3 hours to do 12 pages of homework.
Hence, In 1 hour, Number of pages = 12 / 3
= 4
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Which statement best describes how Charlemagne expanded his territory in Europe? He led the Catholic Church as the Holy Roman emperor. He became king of the Franks and then conquered other lands. He created schools in the kingdom and then became emperor of Saxony. He created new laws that allowed him to become king of the Lombards and Saxons.
Answer:
He became king of the Franks and then conquered other lands.
Step-by-step explanation:
Charlemagne became king of the Franks after the death of his father, Pepin the Short.
He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.
Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.
He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.
Answer:
b
Step-by-step explanation:
Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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What is the probability of tossing 7 Coins and having 4 heads and 3 tails
Answer:
35/128
Step-by-step explanation:
7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.
Find the value of x!!!!!!
Answer:
Sum of 3 angles in a triangle=180
x+55+72= 180
x+ 127=180
x= 180-127
x= 53
Answer:
63 degrees
Step-by-step explanation:
All angles of a triangle always add up to 180 degrees.
So you take both angles and add them together-55+72=117
You then would take 180 and subtract the total- 180-117=63
And that would be your final answer
Solve the equation for x
3x + 5 = 14
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]3x+5=14[/tex]
Subtract 5 from both sides:
[tex]3x+5-5=14-5[/tex]
[tex]3x=9[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{9}{3}[/tex]
[tex]x=3[/tex]
Find the value of x in each case:
Answer:
2x = 36°
8x = 144°
Step-by-step explanation:
8x + 2x = 180°
10x = 180°
x = 180/10
x = 18
then:
2x = 2*18 = 36°
8x = 18*8 = 144°
The value of x from the given diagram is 18. then each angle will be 2x = 36° and 8x = 144°
What is linear equation?Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.
Also, the triangle ACD, the sum of the interior angle of the triangle is 180 degrees;
8x + 2x = 180°
10x = 180°
x = 180/10
x = 18
Then:
2x = 2*18 = 36°
8x = 18*8 = 144°
Hence the value of x from the given diagram is 18.
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x - 4 = 9
Help please
Answer:
13
Step-by-step explanation:
x-4=9
+4 +4
x=13
Answer:
13
Step-by-step explanation:
Step 1:
x - 4 = 9
Step 2:
x = 9 + 4
Answer:
x = 13
Hope This Helps :)