The coordinates for the points of intersection of the line y=-1.5x + 3 with the coordinate axes are (0,3) for y-axis and (2,0) for the x-axis.
Explanation:To find the points of intersection of the line with the coordinate axes, we will set the values of y and x to zero separately. So, let's start from the intersection of the line with the y-axis. For this, we set x=0 in the equation y = -1.5x + 3. Thus, y = 0*(-1.5) + 3 which gives us y = 3. So one point of intersection is (0,3). Next, finding the x-intercept requires setting y=0, which gives 0 = -1.5x + 3. Solving this equation, we get x = 3 / 1.5 or x=2. Hence, the other point of intersection is (2,0). Therefore, the coordinates for the points of intersections are (0,3) and (2,0).
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find 1/2 of 5 less than 10
When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the new cube is 864 square inches. What where the dimensions of the original cube?
Answer:
The dimensions of the original cube are 16 in x 16 in x 16 in
Step-by-step explanation:
Let
x ----> the length side of the original cube
The surface area of the cube is equal to
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we know that
The dimensions of a cube are reduced by 4 inches on each side and the surface area of the new cube is 864 square inches
so
The length side of the new cube is
[tex]b=(x-4)\ in[/tex]
substitute in the formula of surface area
[tex]SA=6(x-4)^2[/tex]
[tex]SA=864\ in^2[/tex]
so
[tex]6(x-4)^2=864[/tex]
Simplify
[tex](x-4)^2=144[/tex]
take square root both sides
[tex](x-4)=(+/-)12[/tex]
[tex]x=4(+/-)12[/tex]
[tex]x=4(+)12=16\ in[/tex]
[tex]x=4(-)12=-8\ in[/tex] ----> the length side cannot be a negative number
therefore
The dimensions of the original cube are 16 in x 16 in x 16 in
To find the dimensions of the original cube, set up an equation using the surface area of the new cube and solve for the original side length.
Explanation:To find the dimensions of the original cube, we need to work backwards.
First, let's find the surface area of the original cube. If we reduce each side of the cube by 4 inches, the new side length would be 'x-4'. The surface area of the new cube is given as 864 square inches. So we have the equation: (x-4)^2 = 864 Solving this equation, we find that the side length of the original cube is 22 inches.
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After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?
A student worked 46 hr during a week one summer the student earned $4.90 per hour for the first 40 hr and $7.35 per hour for overtime how much did the student earn during the week?
Answer:
240.10 dollars
The school gym can hold no more than 650 people. The bleachers will seat 176 people. The PTA is setting up 25 rows of chairs for their meeting. At most, how many chairs can be in each row? A) 18 B) 19 C) 26 D) 27
Answer A (18
Step-by-step explanation:
Hiiiii pleaseeeee helppppp understand how to do this I want to understand.
Marisol plans to make 9 mini-sandwiches for every 2 people attending her party. Write a ratio that is equivalent to marisol's ratio.
A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dollars in profit last year. How many times greater is the profit made by the entire chain last year than by this particular store? Drag and drop the values into the boxes to represent the answer in scientific notation. 0.145
1.45
145
10²
10^14
10^48
Solve for s. 23s+56s=21 Enter the answer, as a whole number or as a fraction in simplest form, in the box.
Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
Spencer orders 235 cans of tomatoes to make salsa for the festival. What is 235 rounded to nearest 10
In solving this problem, you should know the basic place values:
For example:
243. in this example, 200 is the hundreds, 40 is the tens and the 3 is the ones.
So for our problem, 235 if rounded off to the nearest tens, it would be 240. Since according to the rules if the ones is 5 and above, the number will be rounded off.
We round down if the ones is 4 and below.
The number 235 rounded to the nearest ten is 240.
1. Identify the digit in the tens place of the number: In 235, the digit in the tens place is 3.
2. Look at the digit to the right of the tens place: In 235, the digit to the right of 3 is 5.
3. Determine if the digit in the tens place rounds up or down: Since 5 is 5 or greater, we round up the digit in the tens place.
4. Replace the digits to the right of the tens place with zeros: When rounding to the nearest 10, we only consider the digit in the tens place and ignore the digits to the right of it. So, we replace the digits to the right of the tens place with zeros.
5. Increase the digit in the tens place by 1 if rounding up: Since we are rounding up from 3 to the next higher multiple of 10, the digit in the tens place becomes 3 + 1 = 4.
6. Combine the rounded tens place digit with the zeros: After rounding, the number becomes 240.
Therefore, 235 rounded to the nearest 10 is 240.
how do you find the power of 35,036 1/3
Final answer:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). The cube root of 35,036 is approximately 32.41.
Explanation:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). In this case, a = 35,036 and b*c = 1/3. So, the power of 35,036 to the 1/3 exponent is 35,036^(1/3).
Now, to evaluate this expression, you can find the cube root of 35,036 using a calculator. The cube root of 35,036 is approximately 32.41. Therefore, the power of 35,036 to the 1/3 exponent is approximately 32.41.
Your sports drink bottle is 5/6 full. After practice, the bottle is 3/8 full. Write the difference of the amounts after practice and before practice. Write your answer as a fraction in simplest form.
Answer:
its -11/24
Step-by-step explanation:
Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?
A. -5/6 = 1/4 X +1/4
B. 2/3 X = -5/12 X -7/12
C. 1/4 X-5/6 = 1/4
D. 2/3 X -13/12 = -5/12 x
Answer:
The answer is D
Step-by-step explanation:
2/3x-5/6=5/12x+1/4
x=1
the only option that x=1 is
2/3x-13/12=-5/12x
Solve the equation for the red variable.
21 and 61 which is composite and which is prime
Riley worked 5 hours on Monday, 3 hours on Tuesday, and 2 hours on Wednesday. He rounded the hours to 5, 3, and 2 before adding them together to get 10 hours. Did he make a high or low estimate?
Answer:
It is low... not high :)
A barrel holds 50L how many gallons is this
HELP ME PLEASE!! MATHEMATICS
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls as Jasmine sold, How many rolls of wrapping paper did they sell all together?
In this exercise we want to know how many rolls were sold by two people, so we have to:
27 rolls
To start the calculations we have to organize the information given in the text as:
Carly sold 18 rolls. Jasmine sold 9 rolls.So now solving this problem we have:
[tex]TOTAL: 18 + 9 = 27 rolls[/tex]
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The table shows the number of flowers in four bouquets and the total cost of each bouquet.
What is the correlation coefficient for the data in the table?
–0.57
–0.28
0.28
0.57
we know that
The correlation coefficient is a number between [tex]-1[/tex] and [tex]+1[/tex] that represent the linear dependence of two variables or sets of data
Using the function CORREL in a excel tool, calculate the correlation coefficient (r)
see the attached table
the correlation coefficient for the data in the table is equal to [tex]0.28[/tex]
therefore
the answer is
[tex]0.28[/tex]
It should be noted that in the table, the correlation coefficient for the data is C. 0.28.
Correlation coefficient.It should be noted that a correlation coefficient simply means the number that's between -1 and +1.
It represents the linear dependence between the two variables. In this case, the correlation coefficient for the data is 0.28.
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A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m. Again, I'm super sorry
explain how finding 7x20 is similar to finding 7x2,000. then find each product
Answer:
[tex]7\times 20=140[/tex]
[tex]7\times 2000=14000[/tex]
Step-by-step explanation:
To find : Explain how finding [tex]7\times 20[/tex] is similar to finding [tex]7\times 2,000[/tex] then find both products ?
Solution :
First we find the product of [tex]7\times 20[/tex]
[tex]7\times 20=140[/tex] .....(1)
Now, to find the product of [tex]7\times 2,000[/tex]
We can re-write the product as,
[tex]7\times 2,000=7\times 20\times 100[/tex]
Using (1),
[tex]7\times 2,000=140\times 100[/tex]
[tex]7\times 2,000=14000[/tex]
It is similar as the difference is about the multiple of 10.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
Which number sentence correctly compares the absolute values of the changes in Jerome’s bank balance?
A. |-$85| < |$120|
B. |-$85| < |-$120|
C. |$85| > |-$120|
D. |$0| > |$120|
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
A value when substituted in the mode, then irrespective of its a positive value or a negative value, the output will be always positive, therefore, the output will be always positive.
Hence, the number sentence correctly compares the absolute values of the changes in Jerome’s bank balance is |-$85| < |$120|.
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the ratio of boys to girls in a class is 5:4 there are 36 students in the class how many students are girls
Final answer:
To find the number of girls in the class, you calculate the value of each part of the ratio by dividing the total number of students by the sum of the ratio parts, and then multiply the result by the number of parts for girls, which gives us 16 girls.
Explanation:
The question involves finding the number of girls in a class where there is a given ratio of boys to girls and a total number of students. In this case, the ratio of boys to girls is 5:4, and there are 36 students in the class. To solve for the number of girls, we can use the concept of ratios. First, combine the parts of the ratio to find the total parts in the ratio, which is 5 + 4 = 9 parts. Each part is then equal to the total number of students divided by the total parts, which is 36 students \/ 9 parts = 4 students per part. Since the ratio of boys to girls is 5:4, we know that girls constitute 4 parts of the total. Thus, the number of girls can be calculated by multiplying 4 (the number of parts for girls) by 4 students per part, resulting in 16 girls in the class.
The difference between -7/9 and 4/9 is
Hello!
Your answer is
-1 2/9
What is the best estimate for the following expression: 6.79 - (-3.2)?
10
9
4
1
Joe has a savings account and a credit card. He has $422 saved in his savings account and has purchased $484 worth of merchandise on his credit card. Use positive and negative numbers to explain the sitiuation. Is Joe's overall balance represented by a positive or negative number? Justify your answer.
what is the measure of <rst
The measure of the angle ∠RST will be 81°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The measure of the central angle of the sector of the circle is 162°.
Then the measure of the angle ∠RST is half of the central angle. Then we have
∠RST = 162° / 2
∠RST = 81°
The measure of the angle ∠RST will be 81°. Then the correct option is B.
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write an equation in function form 3x-y=7