what is 6x+30=3x-42 whats the answer
The expression 50w + 400 represents the amount of money Jenny has in her savings account after an unknown number of weeks. How much money does Jenny originally have in her savings account? Which part of the equation represents the amount of money she will put away each week? Explain your answers.
On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.
A hiker has the following items:
A sleeping bag that weighs 3.4 lb
A Camping bag that weighs 4.6 lb
And a water bottle that weighs 2.2 lb.
The expression would be:
3.4x + 4.6x + 2.2x = x
Where x is the weight that each x hikers are carrying.
You just need to add the three items and the answer would be 10.2 pounds.
We want to find the total weight that each hiker carries by adding the weights of all individual items that they carry. And then we want an expression for the total weight that x hikers carry.
These items can be seen in the image at the end of the answer.
We will see that the total weight carried by x hikers is given by:
W(x) = (10.2lb)*x
--------------------------------
First, let's find the weight that each hiker carries.
Each hiker carries:
Sleeping bag of 3.4 lb.Backpack of 4.6 lb.Water bottle of 2.2 lb.The total weight is:
T = 3.4 lb + 4.6 lb + 2.2 lb = 10.2 lb
Then if each hiker carries 10.2 lb of weight, and there are x hikers, the total weight carried by them will be x times 10.2 lb
We have:
W(x) = (10.2lb)*x
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Maggie's brother is 8 years younger than four times her age. The sum of their ages is 67.
How old is maggie?
A pair of running shoes cost $22.29. The store owner wanted to make a profit of $18.50. What should be the shoes’ selling price?
Final answer:
The selling price for the running shoes should be $40.79 to include the cost price of $22.29 and the desired profit of $18.50.
Explanation:
To calculate the selling price of the running shoes to achieve a desired profit of $18.50, we simply add the cost of the shoes to the desired profit.
The cost of the shoes is $22.29, and the store owner wants to make a profit of $18.50.
Therefore, the selling price should be:
Cost of shoes: $22.29
Desired profit: +$18.50
Total selling price: $40.79
The store owner should set the selling price at $40.79 to make a profit of $18.50 on the pair of running shoes.
Kendra and her horse completed barrel racing course in 15.839 seconds what is the number rounded to the nearest tenth
Answer:
The number rounded to the nearest tenth is 15.8.
Step-by-step explanation:
Kendra and her horse completed barrel racing course in 15.839 seconds.
So, the number rounded to the nearest tenth or 0.1 is 15.8 because the number next to 8 is 3, it will not make eight '9' .
Hence, the number rounded to the nearest tenth is 15.8.
name the property of multiplication by the equation 17x × 1= 17x
Final answer:
The equation 17x × 1 = 17x illustrates the Identity Property of Multiplication, indicating that multiplying by one does not change the value of a number.
Explanation:
The equation 17x × 1 = 17x demonstrates the Identity Property of Multiplication. This property states that when any number is multiplied by one, the result is the original number. It's called the identity property because one is the identity element for multiplication. Multiplication or division by the same number on both sides of an equation will not change the equality. Therefore, multiplying by one does not alter the value of the quantity.
For example, the equation could also be expressed as 1 × 17x = 17x, showcasing the Commutative Property of Multiplication, which allows us to change the order of the factors without changing the product. However, the main focus here is the identity property, as the number stays the same after multiplication by one.
Fencing costs $10.15/ft. A customer purchases 8 3/8 ft of fencing for his yard. How much did the customer pay for the fencing? Round to the nearest cent.
Can someone solve this fast , for 20 points
How are points graphed on a coordinate plane?
Amultivitamin tablet contains 16.5 mg calcium.How much calcuim does a bottle of 20 tablet contain?
kok yang's mass is 2/7 of Melvin's mass. Express Melvin's mass as a fraction of Kok yang's mass? What is the ratio of Kok Yang's mass to Melvin's mass?What is the ratioof Melvin's mass to the total mass?
Melvin's mass expressed as a fraction of Kok Yang's mass is 7/2. The ratio of Kok Yang's mass to Melvin's mass is 2:7, and the ratio of Melvin's mass to the total mass of both combined is 7:9.
Explanation:If Kok Yang's mass is 2/7 of Melvin's mass, we need to express Melvin's mass as a fraction of Kok Yang's mass. To do this, we set Kok Yang's mass to 1 (as a convenient reference) and Melvin's mass then becomes 7/2 times Kok Yang's mass, since 1 is 2/7 of 7/2. Therefore, Melvin's mass in terms of Kok Yang's mass is 7/2.
The ratio of Kok Yang's mass to Melvin's mass, given that Kok Yang's mass is 2/7 of Melvin's mass, is simply 2:7.
Simplest form of 7/9 x 21/10
If a piece of ribbon is 5 and 1 over 2. feet long, how long is it in inches?
1 foot = 12 inches
5.5* 12 = 66 inches long
find two consecutive odd integers such that 44 more than the lesser is three times the greater
Final answer:
To find the two consecutive odd integers, we set up the equation n + 44 = 3(n + 2), where n is the lesser integer. Solving the equation gives us n = 19, so the integers are 19 and 21.
Explanation:
The question asks to find two consecutive odd integers such that 44 more than the lesser is three times the greater. Let's denote the lesser integer as n and the greater as n + 2, as consecutive odd integers differ by 2. We can set up the following equation based on the given information: n + 44 = 3(n + 2).
Now, we solve for n:
n + 44 = 3n + 6
Subtract n from both sides: 44 = 2n + 6
Subtract 6 from both sides: 38 = 2n
Divide both sides by 2: 19 = n
Therefore, the lesser integer is 19, and the greater integer is 19 + 2 = 21.
a newspaper has 80 Pages if 20 of the 80 pages are devoted to advertising what percent of the newspaper is advertising
A miner descended 1400 feet into a mine from the mine's entrance. While in the mine, he then rose 800 feet and then descended 450 feet. What was the miner's net gain or loss in altitude from the entrance of the mine?
descended would mean he was -1400 feet from the entrance
he then rose 800 feet so
-1400 + 800 = -600 feet
he then went down 450 feet
-600 - 450 = -1050 feet
net loss was 1050 feet
∠C
and
∠D
are vertical angles with
m∠C=−2x+90
and
m∠D=x−30
.
What is
m∠D
?
m∠C=m∠Dx=−3x+804x=80x=20
m∠C=x∘=20∘
strawberries cost $2 per pound and gets 20% discount on the total cost. How much does Kate pay for the strawberries?
I need help plz 11 only plz
Round 12,909 to the nearest hundreds
How many times larger is the value of 260,00 than 260
8 x 19 in distributive property
2(9+3) in distributive property
thanks
I need them in distributive property
Answer:
8(10) + 8(9)
2(9) + 2(3)
Step-by-step explanation:
Music store sells 22 blue MP3 players and 27 red MP3 players. Each MP3 player costs $41. What is a reasonable estimate for the total cost of the MP3 players? What is the exact answer for the total cost of the MP3 players?
To estimate the total cost, round the numbers and calculate, we get an estimate of $2000. The exact answer for the total cost is $2009.
Explanation:To estimate the total cost of the MP3 players, we can round the number of blue MP3 players down to 20 and the number of red MP3 players up to 30. So, estimating each at $40, we have a total of $40 x 20 + $40 x 30 = $800 + $1200 = $2000.
To find the exact answer for the total cost, we multiply the cost of each MP3 player ($41) by the number of blue and red MP3 players separately. So, the blue MP3 players cost $41 x 22 = $902, and the red MP3 players cost $41 x 27 = $1107. Adding these together gives a total of $902 + $1107 = $2009.
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The temperature outside is 0 degrees F. If the temperature drops 14 degrees, what was the overnight low temperature?
The overnight low temperature was -14 degrees F, calculated by subtracting the temperature drop from the initial temperature.
Explanation:In the context of determining the overnight low temperature, it's essential to consider the initial temperature and the subsequent change. In this specific scenario, the starting point is a temperature of 0 degrees Fahrenheit. However, as the night progresses, the temperature experiences a decrease of 14 degrees.
To pinpoint the overnight low temperature, we employ a straightforward subtraction method. By subtracting the amount of change, which is 14 degrees, from the initial temperature of 0 degrees Fahrenheit, we arrive at the final result of -14 degrees Fahrenheit.
This calculation demonstrates the mathematical approach to determining temperature variations, which is especially pertinent in weather forecasting and climatology. It showcases how understanding temperature fluctuations and changes is crucial for assessing climatic conditions and their impact on various aspects of daily life and scientific research.
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Which statement correctly describes the relationship between △ABC and △A′B′C′ ?
a . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.
b . △ABC is not congruent to △A′B′C′ because there is no sequence of rigid motions that maps △ABC to △A′B′C′.
c . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 6 units to the left, which is a rigid motion.
d . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 6 units to the right, which is a rigid motion.
Left and right motion indicates change in x-value.
If we subtract 6 from the x-coordinate of each point,
A(3, 4) will be transferred to A'(3-6, 4) = A'(-3, 4).
B(4, 0) will be transferred to B'(4-6, 0) = B'(-2, 0).
C(2, 1) will be transferred to C'(2-6, 1) = C'(-4, 1).
Hence, the correct option is c. Δ ABC is congruent to Δ A'B'C' because you can mapΔ ABC to Δ A'B'C' using a translation 6 units to the left, which is a rigid motion.
please help me with a multiple choice question
Monyne created a map of her neighborhood.She colored in the distance from her school to her house and wrote on the map that the distance was 0.7 of a mile. Write the distance between Monyne's house and her school as a fraction.
Two feet is what percent of one yard
We want to partition 100 mL into 10 equal parts. ow many milliliters should we pour in each cup?
If we want to divide 100 mL into 10 equal parts we have to pour 10 mL into each cup.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that we want to divide 100 mL into 10 equal parts,
Suppose x milliliters should we pour into each cup,
x = Total volume / Number of cups
x = 100 mL / 10
x =10 mL
Thus, if we want to divide 100 mL into 10 equal parts we have to pour 10 mL into each cup.
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