Answer: The correct option is A.
Explanation:
The given equation is,
[tex]4(x+5)-5=\frac{8x+18}{2}[/tex]
Multiply both sides by 2.
[tex]2[4(x+5)-5]=\frac{8x+18}{2}[/tex]
[tex]8(x+5)+2(-5)=8x+18[/tex]
[tex]8x+40-10=8x+18[/tex]
[tex]8x+30=8x+18[/tex]
Subtract both sides by 8x.
[tex]30=18[/tex]
This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.
Answer:
Option A is correct
No solutions
Step-by-step explanation:
The distributive property says that:-
[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
Given the equation:
[tex]4(x+5)-5 = \frac{8x+18}{2}[/tex]
Using distributive property we have;
[tex]4x+20-5 = \frac{8x+18}{2}[/tex]
⇒[tex]4x+15= \frac{8x+18}{2}[/tex]
Multiply both sides by 2 we have;
[tex]8x+30 = 8x+18[/tex]
Subtract 8x from both sides we have;
[tex]30=18[/tex] False.
For any value of x, there is no solutions for the given system of equation
Therefore, No solution can be found for the linear equation
. Rotate 270 clockwise around the origin, and then translate 2 units up. (2, 10) (9, 5) (12, 2) (12, 10)
Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxes?
there are 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and same number of pizza with nothing left over. How many students could go to the party?
how many slices of pizza will each get?
how many cookies will each get?
what is the opposite of zero on a number line
A student drops some metal paper clips in a box of sand. The student use a magnet to separate the metal paper clips from the sand. The reason this works is that the sand and paper clips together are
A) a mixture
B) an element
C) a compound
D) a substance
Answer:
The answer is mixture.
Step-by-step explanation:
A mixture is a material that consists of two or more different physically combined substances; in this scenario the things are paper clips and sand.
Here, the student uses a magnet to separate the metal paper clips from the sand. So, here sand and paper clips together are a mixture.
Multiply. (75)(−54) Enter your answer as an improper fraction, in simplified form, in the box.
Mrs. Kuss is playing a crazy game of Monopoly with her son Ethan. In order to land on Boardwalk she will need double sixes. What is the probability as a percent that she will roll two sixes?
the tax on a $400 painting is $34 what should be the tax on a $700 painting
Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour. What is Edward's speed in miles per hour?
y+7=9/10(x+3) in standard form
The equation y + 7 = 9/10(x + 3) is converted into standard form by distributing, isolating y, eliminating fractions, and rearranging terms, resulting in the standard form 9x - 10y = 43.
The equation y + 7 = 9/10(x + 3) needs to be converted into standard form. The standard form of a linear equation is Ax + By = C where A, B, and C are integers, and A should be non-negative.
To put the given equation into standard form, we need to distribute the 9/10 across the (x + 3) and then isolate y on one side:
y + 7 = (9/10)x + (9/10)x3
Step 1: Multiply 9/10 by each term in the parentheses.
y + 7 = (9/10)x + 27/10
Step 2: Subtract 7 from both sides to isolate the y term.
y = (9/10)x + 27/10 - 70/10
y = (9/10)x - 43/10
Step 3: To get rid of the fraction, multiply the entire equation by 10.
10y = 9x - 43
Step 4: Finally, to put this into standard form, we need to move the x term to the left side of the equation.
-9x + 10y = -43
Here, our standard form would be 9x - 10y = 43, as we usually do not want a negative A term in standard form.
at the soda shop they sold forty eight hotdogs on monday and eighty on tuesday. how many times as many did they sell in monday than they sold on tueday?
Write 6 27/100 as a decimal
a=p（1+rt） solve r answer
In the simple interest formula a=p(1+rt), r can be solved by rearranging the formula to r = [a/p - 1] / t.
Explanation:The question involves the formula a=p(1+rt) which you would normally see in simple interest calculations in mathematics. Your task is to solve for r (the rate).
To do that, you could rearrange the formula: r = [a/p - 1] / t
So, to calculate r, you would subtract one from the quotient of a and p, then divide that result by t (the time).
Learn more about Solve for variable here:https://brainly.com/question/32610670
#SPJ3
Which equation will help you solve this problem?
You have 16 books and 2 shelves to store them.
If you split them equally between the 2 shelves, how many books will be on each shelf?
Which describes the slope of this line?
A.
negative slope
B.
zero slope
C.
positive slope
D.
undefined slope
Use the associative property to identify which expression is equal to (10)(5x)(7).
A. (7)(5x)(10)
B. 10(5x + 7)
C. (10*5)(x*7)
D. (5x)(10)(7)
Help please, thanks in advance!
The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown, cut by a transversal. Angle 3 is located in the upper right exterior corner on the top line, and angle 4 is located in the lower left exterior corner of the bottom line. Which statement is true about ∠3 and ∠4?
Answer:
∠3 and ∠4 are congruent because they are a pair of alternate exterior angles.
Step-by-step explanation:
Answer: Choice number 1
Step-by-step explanation:
The first choice because they are on opposite sides of the transversal Therefore they are alternate exterior angles.
what is the answer to y−(−10)=−41
Can anyone help me with this question? If you can explain, please do so!
PLEASE HELP ME! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts amoung 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.
peter has 18 oranges, 27 pears, and 12 bananas. He wants t o make fruit baskets with the same number of each fruit in each basket.
a. What is the greatest number of fruit baskets he can make?
b. How many oranges will be in each basket?
c. How many bananas will be in each basket?
d. How many pears will be in each basket?
Answer:
a. Maximum 3 baskets
b. Number of oranges = 6
c. Number of bananas = 4
d. Number of pears = 9
Step-by-step explanation:
Peter has 18 oranges, 27 pears and 12 bananas.
He wants to prepare the fruit baskets with the same number of each fruit in each basket.
a). Greatest number of fruit baskets can be prepared by calculating highest common factor.
Factors of 18 = 2×3×3
Factors of 27 = 3×3×3
Factors of 12 = 2×2×3
Now highest common factor of 18, 12 and 27 = 3
Therefore, maximum 3 baskets can be prepared.
b. Number of oranges in each basket = [tex]\frac{18}{3}=6[/tex]
c. Number of bananas in each basket = [tex]\frac{12}{3}=4[/tex]
d. Pears in each basket = [tex]\frac{27}{3}=9[/tex]
Sue has $4, Tom has $11, Brian has $6, and Anita has $9. Use mental math to find how much money they have altogether. Show your work.
jon weighs 148 lbs and hopes to gain 2 lbs a week matt weighs 193 lbs and hope to lose 1 lb a week how many weeks till the weight is the same
In timra’s math class, there are 12 boys and 15 girls. What is the ratio of boys to girls in timra’s math class
In Timra's math class, the ratio of boys to girls is 12:15, which can be simplified to 4:5. This means for every 4 boys, there are 5 girls.
Explanation:In Timra's math class, there are 12 boys and 15 girls. The ratio of boys to girls in this case would be represented by the number of boys followed by the number of girls, separated by a colon. Therefore, the ratio of boys to girls is 12:15. You can also simplify this ratio by dividing both numbers by their greatest common divisor which is 3. After doing so, you will get a simplified ratio of 4:5. This means that for every 4 boys in the class, there are 5 girls.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ3
Use scientific notation to find the product of 4.59 · 10 -5 and 30. Include all of your calculations in your final answer.
The average weight of an almond is 1,200 milligrams. You buy 65 almonds at the price of $0.10 per gram. How much do you pay for the almonds?
Final answer:
To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.
Explanation:
To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.
Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).
Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.
Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.
Therefore, you would pay $7.80 for 65 almonds.
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)
PLEASE HELP!!!
Answer:
its step 3
Step-by-step explanation:
i just took the test.
HELP PLEASE!!!!! HELP
What is the number in scientific notation?
Drag the answer into the box to match the number.
855,000,000,000
A: 8.055 x 10 ^-8
B: 8.5 x 10^9
C: 8.55 x 10 ^-11
D: 8.55 x 10^11
E: 8.5 x 10^7
F: 8.055 x 10^8
Which expression is equal to 4−−√40−3−−√45 ?
The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday?
Answer:
72
Step-by-step explanation:
Lets say total number of Outdoor club member = [tex]x[/tex]
Members going for hiking = [tex]\frac{x}{2}[/tex]
Members going for bike riding = [tex]\frac{x}{4}[/tex]
Members going for rock climbing = [tex]\frac{x}{8}[/tex]
Member going for walking their dogs = 9
Thus,
[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]
[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]
[tex]\frac{8x-4x-2x-x}{8}=9[/tex]
[tex]\frac{x}{8}=9[/tex]
[tex]x=72[/tex]
72 Outdoor Club members are doing an activity on Saturday.