Answer : option D
Find the solution of 7x = 35
To solve for x , we need to get x alone
so we divide by 7 on both sides
[tex]\frac{7x}{7} =\frac{35}{7}[/tex]
So x= 5
To verify the solution we plug in 5 for x in the given equation 7x= 35
x=5
We have, 7x= 35
7(5)= 35
35= 35
So verified
The solution of expression is,
D. x = 5; 7(5) = 35, 35 = 35
We have to give that,
An equation to simplify,
7x = 35
Now, Simplify the equation as,
7x = 35
Divide on both sides by 7,
7x/7 = 35/7
x = 5
Hence, The solution is, x = 5
And verify it as,
7x = 35
Put x= 5;
7 (5) = 35
7 × 5 = 35
35 = 35
Therefore, The solution is, x = 5
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If f(x) = 10 + 50x, solve for x when f(x) = 310.
x = 6
given f(x) = 310, we obtain the equation
10 + 50x = 310 ( subtract 10 from both sides )
50x = 300 ( divide both sides by 50 )
x = [tex]\frac{300}{50}[/tex] = 6
5q greater than or equal to 8q -3/2
5q ≥ 8q - 3/2
Add 3/2 to both sides.
3/2 + 5q ≥ 8q
Subtract 5q from both sides.
3/2 ≥ 3q
Multiply both sides by 2.
3 ≥ 6q
Divide both sides by 6.
0.5 ≥ q.
The value of q is less than or equal to 0.5.
State of the number 49/9 (square root) is a rational or irrational
A. Rational
B. Irrational
if 5/8 yards of fabric costs 3.75 dollars what does one yard cost
The cost of one yard of fabric, based on given prices, is 6 dollars. This is calculated by taking the total cost and dividing by the total quantity, using the concept of ratio and proportion in mathematics.
Explanation:This problem revolves around the concept of unit rates in mathematics, especially ratio and proportion. If 5/8 yards of fabric costs 3.75 dollars, then to find the cost of one yard, known as the unit rate, we need to divide the total cost by the total quantity. Therefore, the cost of one yard would be 3.75/(5/8), which equals 6 dollars. Hence, one yard of fabric costs 6 dollars.
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jacklyn's employer matches 30% of Jacklyn's contributions to her 401(k) plan if her employer contributed $300 to the plan last year, how much did Jacklyn contribute to the plan last year?
A) $1300
B) $1000
C) $700
D) $900
B because 30% of 1000 is 300
Answer:
Option B) $1000 would be correct.
Step-by-step explanation:
Jacklyn's employer matches 30% of Jacklyn's contributions to her 401(k) plan.
Let Jacklyn's contribution = x
Her employer's contribution = 30% of x = 300
= [tex]\frac{30x}{100}[/tex] = 300
= 30x = 300 × 100
= x = 30000 ÷ 30 = $1000
Jacklyn contributed $1000 to the 401(k) plan last year.
You have a shelf that holds 25 1/2 pounds. How many 1 1/4 pound books can the shelf hold? Explain your response
Answer:
20 2/5
Step-by-step explanation:
25 1/2
1 1/4
1 1/4 times 4 is 5
5 times 5 is 25
0.2= what doe it equal
It equals 20%. Or 2/10
1/5 because it equal 20 percentile.
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle. How much water was in the bottle to start?
Answer:
He had 0.8 liters to start with...
Step-by-step explanation:
0.44 is 55% of what? (what = x)
Equation: Y = P% * X
X = Y/P%
X = 0.44/55%
55% = 0.55
X = 0.44/0.55
X = 0.8
Answer:
ans is 0.8 liters
Step-by-step explanation:
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle.
Let X be the volume of water in the bottle to start.
55% of X = 0.44L
X = 0.44/55% = 0.44/55*100=44/55=4/5=0.8 liters
Write the equation of the line perpendicular to the line y = -5/7x + 12/7 and containing the point (5,2). Write your answer in slope-intercept form.
Answer:
y = 7x/5 - 5
Step-by-step explanation:
m = 7/5
y - 2 = 7/5(x - 5)
y - 2 = 7x/5 - 7
y = 7x/5 - 5
Each week leslie jogs 20 minutes for every 10 minutes that she lifts weights. Is the number of minutes Leslie jogs each week proportional to the number of minutes that she lifts weights each week?
It is proportional because the ratio never changes and increases at a constant rate.
what is the simplest form of 0.875 as a fraction
What happens to ice as it melts
Ice will turn to water. When ice is frozen, the particles are compact and slow. Once the ice heats up, the particles will become less compact and move faster.
HOW WOULD YOU DO THIS???
What is the solution to this equation? x + 13 = 34
Answer:
x=21
Step-by-step explanation:
Hello
The solution to the equation is the numerical values of the letters for which equality is true.
To find the value of x , you have to isolate x. to do this, you pass the 13 that is positive number to the other side of the equation,When you pass a positive number to the other side of the equation it passes as negative number.
x+13=34
x=34-13
x=21
Have a great day
A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make the cake. Note that 1 cup= 1/8 half gallon= 0.125 half gallon. How many cakes can the bakery make? A. 43 cakesB. 288 cakesC. 345 cakesD. 576 cakes
To determine the number of cakes the bakery can make, the required milk per cake in cups is converted to half gallons and then divided into the total available milk in half gallons. Upon calculation, the bakery can make approximately 345 cakes. Thus, the correct answer to the student's question is option C) 345 cakes.
To solve how many cakes the bakery can make using 72 half gallons of milk and with each cake requiring 1 2/3 cups of milk, we must first convert the cups needed for one cake into half gallons. Since 1 cup equals 0.125 half gallons, 1 2/3 cups is equivalent to 1.6667 * 0.125 half gallons. Now, let's calculate the number of cakes:
1 2/3 cups of milk for one cake = 1.6667 * 0.125 half gallons = 0.2083 half gallons per cake.Total available milk in half gallons = 72.Number of cakes = Total available milk / Milk per cake = 72 / 0.2083.After performing the division, we find that the bakery can make approximately 345 cakes. Therefore, the correct answer is C. 345 cakes.
The area of a rectangle is 45 ft2. If the length of the long side of the rectangle is 80% greater than the short side of the rectangle, what is the length of the longer side?
To solve this problem we propose the following equation:
1) [tex]b*h =45\\[/tex] This is the equation of the area of a rectangle.
Where a and b are the sides of the rectangle
If b is the longest side, then
b is 80% longer than h.
2) [tex]b= h+0.8h\\[/tex]
Now we have 2 equations and two unknowns.
Therefore we solve the following equations
[tex]45=b*\frac{b}{1+0.8}\\[/tex]
[tex]b^2=45(1+0.8)[/tex]
[tex]b =\sqrt{45(1+0.8)}\\[/tex]
b = 9 feet
The length of the longest side is 9 feet.
The area of a rectangle is 45 ft^2
If the length of the long side of the rectangle is 80% greater than the short side of the rectangle.
Let the shortest side be the width (x)
Length of rectangle L = 80% greater than x
So length = 0.8 x + x
Length = 1.8 x
Area of the rectangle = Length * width
45 = 1.8x * x
[tex]45= 1.8x^2[/tex]
Divide by 1.8 from both sides'
[tex]25= x^2[/tex]
Take square root on both sides
x=5
so width of the rectangle = 5 feet
Length of the rectangle (longer side) = 1.8x = 1.8 * 5 = 9 feet
there are 4 planets. the first planet has an orbit of 3 years. The second planet has an orbit of 5 years. The third planet has an orbit of 8 years. The fourth planet has an orbit of 12 years. if there in conjunction how long till they're in conjunction again? math problem answer
Find the LCM of the four numbers (3, 5, 8, 12)
3: 3
5: 5
8: 2 * 2 * 2
12: 2 * 2 * 3
LCM = 2 * 2 * 2 * 3 * 5
= 120
Answer: 120 years
Final answer:
The planets will be in conjunction again after 15 years.
Explanation:
To determine when the planets will be in conjunction again, we need to find the least common multiple (LCM) of their orbital periods.
The orbital periods of the four planets are: 3 years, 5 years, 8 years, and 12 years.
To find the LCM, we can list the multiples of each of the numbers and identify the smallest number that appears in each list.
The multiples of 3 are: 3, 6, 9, 12, 15, ...
The multiples of 5 are: 5, 10, 15, 20, 25, ...
The multiples of 8 are: 8, 16, 24, 32, ...
The multiples of 12 are: 12, 24, 36, ...
The smallest number that appears in all lists is 15, so the planets will be in conjunction again after 15 years.
Which points are on the graph of the function rule ƒ(x) = 10 – 4x? ( –18, 2), ( –10, 0), ( –2, –2) (18, –2), (10, 0), (2, 2) (–2, 18), (0, 10), (2, 2) (2, –18), (0, –10), ( –2, –2)
(2, 2 ), (- 2, 18 ), (0, 10 )
substitute the x-coordinate of each point into f(x) and if the value is equal to the y-coordinate then it is on the graph of f(x)
(- 18, 2 ) ⇒ y = 10 + 72= 82 ≠ 2
(- 10, 0 ) ⇔ y = 10 + 40 = 50 ≠ 0
(- 2, - 2 )⇒ y = 10 + 8 = 18 ≠ 2
(18, - 2 ) ⇒ y = 10 - 72 = - 62 ≠ - 2
(2, 2 ) ⇒ y = 10 - 8 = 2 ⇒ (2, 2 ) is on graph
(- 2, 18 ) ⇒ y = 10 + 8 = 18 ⇒ (- 2, 18 ) is on graph
(0, 10 )⇒ y = 10 - 0 = 10 ⇒ (0, 10 ) is on graph
(2, - 18 ) ⇒ y = 10 - 8 ≠ - 18
Put the following in slope intercept form
4x - 3y = 15
slope intercept form: y = mx + b
Note the equal sign. what you do to one side, you do to the other. First, subtract 4x from both sides
4x - 3y = 15
4x (-4x) - 3y = 15 (-4x)
-3y = -4x + 15
Next, divide -3 from both sides to isolate the y.
(-3y)/-3 = (-4x + 15)/-3
y = (4/3)x - 5
y = (4/3)x - 5 is your answer
hope this helps
What is the product of (9)(-9)(-1)?
Answer:
The answer is 81
Step-by-step explanation:
Hope this helps
Karissa begins to solve the 1/2 (x-14)+11=1/2x-(x-4)
Answer:
Step-by-step explanation:
C)0
c - 1.5+6.8=0.6 what is x
Ok! I gotcha!
C-1.5+6.8=0.6
Steps:
Add/Subtract The #!
c+5.3=0.6
Subtract 5.3 On Both Sides!
c+5.3-5.3=0.6-5.3
Simplify!
c=-4.7
D(1) = 13 d(n) = d(n-1) + 17 find the 4th term
d(4) = 64
substitute n = 2, 3, 4 into d(n) = d(n - 1) + 17
d(2) = d(1) + 17 = 13 + 17 = 30
d(3) = d(2) + 17 = 30 + 17 = 47
d(4) = d(3) + 17 = 47 + 17 = 64
Brainliest + points! Help please! Mathematicians
Answer and explain (No its not the lower extreme etc. Its the values and the actual numbers)
There are 5 parts of a box-and-whisker plot.
Lowest Value (Minimum)= that's the left end of the graph, and shows what the minimum value is. Here, the minimum is 46.
Lower Quartile (Q₁)= This is the left edge of the "box" in a box-and-whisker plot. Here it is 55.
Median (Q₂)= This is the line in the middle of the box, and represents the very center of minimum and maximum values. Here it is 58.
Upper Quartile (Q₃)= This is the right edge of the box in a box-and-whisker plot. Here it is 63.
Highest Value (Maximum)= This is the farthest right point on your plot. Here it is 66.
Hope this helps! If you have any questions, please feel free to ask in the comments below!
The term 'lower extremes' in mathematics typically refers to the minimum value of a data set, but in this case, the student is asking for the values that represent the lower extremes.
Explanation:In mathematics, the term 'lower extremes' usually refers to the lower limit of a data set, also known as the minimum value. However, since the question specifically asks for 'values and actual numbers', we can assume that the student is referring to the values that represent the lower extremes in the data set. For example, if the data set is {3, 5, 1, 2, 7}, the lower extremes would be the values 1 and 2.
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evaluate 9- 8/s when s=4
Answer:
Your answer would be 7.
Step-by-step explanation:
9 - 8/s first you divide 8 and s which in this case is 4.
8/4 is 2.
9 - 2 = 7
Therefore, your answer is 7
The required value of 9 -8/s when x = 4 is 7.
Given that,
to determine the value of the expression 9- 8/s when s=4.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What is simplification?
The procedure in mathematics to perform and solve the expression to make expression simple or more understandable called simplify and the process is called simplification.
Here,
Let the given expression is equal to x
x = 9 - 8/s
here, s = 4
x = 9 - 8 /4
x = 9 - 2
x = 7
Thus, the required value of 9 -8/s when x = 4 is 7.
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Which number is a solution of the inequality? 5(2q – 8) ≥ 7 A. 6 B. –2 C. −12 D. 92
[tex]5(2q-8)\geq7\\10q-40\geq7\\10q\geq47\\q\geq4.7[/tex]
so the solution is not really a single number but a range, depending on how q is defined. I am assuming q is defined in domain of Real numbers, and then the solution to the inequality will be "all real numbers larger or equal to 4.7"
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar
Answer:
The conversion factor to use here is ($1 US dollar) / (1.2 Austr. dollars), and the
final result is 22 Austr. dollars = US$18.33.
Step-by-step explanation:
The relevant conversion factor here is
1 US dollar
-----------------------
1.2 Aust. dollars
Then:
22 Aust. dollars 1 US dollar
------------------------ * ------------------------- = 18.33 US
1 1.2 Austr. dollars
Name the operation you would do first, -4 + (3) (-8) + 6(-4)
You would do 3*-8 and 6*-4
-4+(-24)+(-24)
-4-24-24
-28-24
-52
Hello there!
[tex]-4 + (3) (-8) + 6(-4)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
You had to used order of operations.
P-Parenthesis
E-Exponents
M-Multiply
D-Divide
A-Add
S-Subtract
First you had to multiply and divide from left to right.
[tex](3)(-8)=-24[/tex]
[tex]-4-24+6(-4)[/tex]
Then you can multiply and divide from left to right again.
[tex]6(-4)=-24[/tex]
[tex]-4-24-24[/tex]
You can also add and subtract from left to right.
[tex]-4-24-24=-52[/tex]
[tex]=-52[/tex]
Answer⇒⇒⇒⇒=-52
Hope this helps!
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Have a great day!
-Charlie
Can someone help me please???
A full circle = 360 degrees.
Mrs Wood and Mrs Patel = 360 - 64 = 296 degrees.
Mrs Wood is 24 more than Mrs Patel:
296-24 = 272 / 2 = 136
Mrs Patel = 136 degrees
Mrs Wood = 136 + 24 = 160 degrees.
Number of votes for Mrs Patel = 136/360 x 5220 = 1,972 votes.
4: Find the equation of the line perpendicular to y = ¼ x + 2, passing through the point (-3,0).
A. Y = ¼ x + ¾
B. Y = 4x + 12
C. Y = -4x – 12
D. Y = -4x + 12
Your answer is C. Y= -4x-12