What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −23 ?
A. y−7=2/3(x−1)
B. y+7=2/3(x+1)
C. y+7=−2/3(x−1)
D. y−7=−2/3(x+1)
Answer:
y + 7 = -2/3(x-1)
Step-by-step explanation:
i took the test :)
Hubert is stacking canned vegetables on shelves in a warehouse. Eight cans of corn are packed in each box.If Hubert puts 56 boxes of corn and 92 boxes of beets on the shelves , how many cans of vegetables are on the shelves?
. If x = 5 units, y = 17 units, and z = 4 units, then what is the surface area of the rectangular prism shown above? A. 340 units2 B. 346 units2 C. 414 units2 D. 173 units2
plz help for question 23
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the area of the rectangle is 22 square inches, what is the value of the unknown number?
_____ inches
Answer:
a=14 hope this helps
Suppose instead that you have 1 1/2 apples. If this is enough to make 3/5 of an adult serving, how many apples (and parts of an apple) make up one adult serving?
maddie's bank account the time(hours) and Amount in account($) the order paris are (0,40),(1,49),(2,58),(3,67) what is the rate
One-half of a roll of wallpaper covers 1/10 of a wall. How many rolls of wallpaper are needed to cover half the wall?
1/7 of the power of three
what is 4.4 tons rounded to the nearest ton
3x+2y=-4
I need help solving this. Pease help
Write 39,083 in word form
Victor wants to buy fertilizer for his yard. The yard is 35 feet by 55 feet. The direction on the bag of fertilizer say that one bag will cover 1,250 square feet. How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
olive bought 36 potatoes plants. She planted them in her garden in 4 even rows. Wild animals ate a row. 5 plants were eaten by sheep and 2 by a goat in the same row. How many plants were remaining in the row that sheep and goat got to? answer<br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />
A pizza shop uses 7 pieces of pepperoni on a small pizza. How many pieces of pepperoni will they use if they make 1,398 small pizzas?
The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n) the term in the sequence.
The rule of an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
[tex]a_1[/tex] - first term
[tex]d[/tex] - a difference [tex]d=a_n-a_{n-1}[/tex]
We have:
[tex]a_1=20;\ a_2=17;\ a_3=14;\ a_4=11;\ a_5=8;\ ...[/tex]
[tex]a_1=20;\ d=a_2-a_1\to d=17-20=-3[/tex]
substitute:
[tex]a_n=20+(n-1)\cdot(-3)=20-3n+3=-3n+23[/tex]
Answer: f(n) = -3n + 23
Answer:
f(n) = -3n + 23
Step-by-step explanation:
for questions 1-5 estimate the sum or difference.
1. 9/10 + 7/8
A) 1
B)2
C)0
2. 9/50 + 7/15
A)0
B) 1/2
C) 1
3. 2/8/9 - 2/1/7
A) 2
B) 1
C) 0
4. 8/12/31 + 4/5/6
A) 13
B) 12/1/2
C) 14
5. 15/2/15 - 15/1/20
A)2
B) 1
C) 0
Answer:
124345
Step-by-step explanation:
1. C
2.C
3.B
4.B
5.C
6.B
7.B
8.B
9.B
10.C
Larry bought 4 lemonades for his friends.Each lemonades cost $1.28.Complete the table to show the prices of 2,3,and 4 lemonades
What is the value of x in this proportion, 6/9 = x/12
a taxi fare y can be determined by the equation y=0.50x+3.50, where x is the number of miles traveled
Final answer:
The taxi fare is calculated with a linear equation that uses the number of miles traveled. The cost per mile is the slope (0.50) and the initial fare is the y-intercept (3.50). By substituting the number of miles into the equation, one can compute the total taxi fare.
Explanation:
The student's question involves understanding the equation of a linear function which describes a taxi fare. Specifically, the taxi fare y can be determined by the equation y=0.50x+3.50, where x is the number of miles traveled. The number 0.50 represents the slope of the line, which is the cost per mile, and the number 3.50 is the y-intercept, which is the initial fare before any miles are traveled.
Applying this knowledge to a practical example, if a person travels 5 miles, their taxi fare would be calculated by substituting x with 5 in the equation: y = 0.50(5) + 3.50, which equals 5.50 as the total fare.
Four teachers bought 10 origami books and 100 packs of oragami paper for their classrooms. They will share the cost of the items equally. How much should each teacher pay?
The total cost of the origami materials needs to be divided by four to find out how much each teacher should pay. Without the prices of the materials, we can't calculate the exact amount per teacher.
Explanation:To determine how much each teacher should pay, we must first calculate the total cost of the 10 origami books and 100 packs of origami paper. However, the question does not specify the costs of these items, so we cannot provide an exact answer without this information. Once the total cost is known, you can evenly divide that cost by the number of teachers, which is four, to find the amount each teacher should pay.
For example, if the 10 origami books and 100 packs of origami paper together cost $200, you would calculate the total cost per teacher like this:
Total Cost: $200Number of Teachers: 4Amount per Teacher: Total Cost ÷ Number of TeachersAmount per Teacher: $200 ÷ 4 = $50In this scenario, each teacher would pay $50.
Millie designed a rectangular label to put on the front of her scrapbook. The label was 5/12 foot wide and 5/6 foot long. What was the area in square feet of the label ?
The area of the rectangular lable designed by Millie is 0.35 square feet.
The area of rectangular label will be calculated using the formula -
Area = length × width
Keep the value in formula to find the area of rectangular label
Area = 5/12 × 5/6
Multiply the fractions to calculate the area of the label designed by Millie
Area = 25/72
Performing division on Right Hand Side of the equation to know the Millie's designed rectangular label
Area = 0.35 square feet
The label designed by Millie is 0.35 square feet.
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Final answer:
The area of Millie's rectangular label, which measures 5/12 foot by 5/6 foot, is calculated by multiplying the width and length, resulting in 25/72 square feet.
Explanation:
The student is asking about finding the area of a rectangular label that is 5/12 foot wide and 5/6 foot long. To calculate the area of a rectangle, we multiply the width by the length. In this case:
Width = 5/12 footLength = 5/6 footNow multiply these two fractions:
Area = Width × Length = (5/12) × (5/6)
To multiply fractions, you multiply the numerators and multiply the denominators:
Area = (5 × 5) / (12 × 6)
Area = 25 / 72 square feet
Therefore, the area of the label is 25/72 square feet.
Keith plans on eating 1 1/4 cups of tuna per day for five days. How much tuna does he need? Is 4 cans enough? Canned tuna/meat: 4 cans = 5 & 3/5 cups.
Jonathan purchased 30 bags of mulch to spread in his garden. The graph shows points representing the number of bags of mulch left to spread at several different times while Jonathan is working.
A function graph of a line segment having three points (0,30), (1,21) and (2, 12) with an x axis of zero to four Hours and a y axis of zero to thirty five Bags of mulch left
Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching.
The equation that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching, is y = -9x + 30.
Explanation:To find the equation that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we can find the slope, m, by using the formula m = (y2 - y1) / (x2 - x1). Using the points (0,30) and (1,21), the slope is (21 - 30) / (1 - 0) = -9.
Next, we can choose one of the points, (0,30), and substitute the values into the equation to find the y-intercept, b. Plugging in x = 0 and y = 30, we get 30 = -9(0) + b, which simplifies to 30 = b.
Therefore, the equation that represents the relationship is y = -9x + 30, in standard form.
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The cafeteria at midtown middle school surveyed 575students about the favorite food.Find the number of students that responded for each of the following...
What number must multiply each side of the equation 2/3x = 16 to produce the equivalent equation x = 24?
- 2/3
2/3
- 3/2
3/2
Applying the multiplication property of equality, the number that both sides of the equation must be multiplied by is: D. 3/2.
What is the Multiplication Property of Equality?The multiplication property states that to balance an equation, both sides of the equation should be multiplied by the same value to solve an equation.Given, 2/3x = 16
Multiply both sides by 3/22/3x × 3/2 = 16 × 3/2
x = 24
Therefore, applying the multiplication property of equality, the number that both sides of the equation must be multiplied by is: D. 3/2.
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Use number patterns and powers of ten to complete the chart. Need help
Worth 23 points
The standard height of kitchen cabinets is 34.5 inches. What is the metric equivalent in centimeters?
The metric equivalent of the standard height of kitchen cabinets, 34.5 inches, is 87.63 centimeters.
To convert inches to centimeters, we can use the conversion factor that 1 inch is equal to 2.54 centimeters.
We have,
the standard height of kitchen cabinets is 34.5 inches,
we can multiply it by the conversion factor to find the metric equivalent in centimeters:
34.5 inches x 2.54 centimeters/inch
= 87.63 centimeters
Therefore, the metric equivalent of the standard height of kitchen cabinets, 34.5 inches, is 87.63 centimeters.
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450 is 75.2% of what number?
Approximately, 450 is 75.2% of 598.4042553.
To find the number of which 450 is 75.2%, we can set up the equation:
[tex]\[ 450 = 0.752 \times \text{number} \][/tex]
To isolate the number, we divide both sides by 0.752:
[tex]\[ \text{number} = \frac{450}{0.752} \\\[ \text{number} \approx \frac{450}{0.752} \\\[ \text{number} \approx 598.4042553 \][/tex]
So, approximately, 450 is 75.2% of 598.4042553.
This means that 450 is 75.2% of the number 598.4042553. In other words, if we take 75.2% of 598.4042553, we get 450.
To verify, we can multiply 598.4042553 by 0.752, which should indeed give us 450.
Eric says he knows 9/10 is 1/10 less than 10/10 or 1 mile so he is going to subtract 1 mile then I had 1/10 back can he use this method to solve the example problem explain
Answer:
Eric can use this method, it's totally correct.Step-by-step explanation:
According to Eric's opinion, 9/10is 1/10 less than 10/10 or 1 mile.
So, to prove that, he is going to subtract 1 mile and 9/10, to obtain 1/10 back. Let's see if he's right
[tex]1-\frac{9}{10}=\frac{10-9}{10} =\frac{1}{10}[/tex]
You can observe that Eric is actually right, he can subtract 9/10 from 1 mile, and that operation will return 1/10 back.
Therefore, Eric can use this method, it's totally correct.