Answer:
4/3t
Step-by-step explanation:
1/2t.........90m
x t.............4h->240m
x=(240m*1/2t)/90m
x=120/90
x=4/3t
The construction crew can clear 8/3 tons of dirt in 4 hours.
Explanation:To find out how much dirt the construction crew can clear in 4 hours, we need to first determine their rate of clearing dirt. The question states that they can clear 1/2 ton of dirt in 90 minutes. To calculate their rate, we divide the amount of dirt cleared (1/2 ton) by the time taken (90 minutes):
Rate = 1/2 ton / 90 minutes
Simplify the rate:
Rate = 1/2 × 2/90 ton/minute = 1/180 ton/minute
Now, to find how much dirt they can clear in 4 hours, we multiply their rate by the number of minutes in 4 hours:
Dirt cleared = Rate × Time
Dirt cleared = 1/180 ton/mintue × 4 hours × 60 minutes/hour
Simplify the units:
Dirt cleared = 1/180 × 4 × 60 ton
Calculate the result:
Dirt cleared = 8/3 ton
Therefore, the construction crew can clear 8/3 tons of dirt in 4 hours.
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How should Grant respond?
Grant and Amy have been friends since they were six.
Amy does not talk to him much anymore. She is
hanging out with a different crowd of kids who are
known for being disrespectful to others and partaking in
drugs and alcohol. One day, Grant sees Amy hanging
out with another kid; both are smoking a cigarette on
school grounds. He approaches Amy and tells her she
should put it out before she gets in trouble. The boy she
is with tells Grant to mind his own business. He
threatens Grant with violence if he tells anyone or talks
to Amy again
He should tell them he would never report them
and will not talk to Amy again.
He should calmly leave and then report the threat.
He should threaten them back and report the
smoking
He should immediately dial 911.
Answer:
its B
Step-by-step explanation:
He should calmly leave and then report the threat.
Grant can respond in this situation by calmly leaving and then report the threat.
How to deal with violence threat
Violence threat can be risky if not properply managed. Some of the ways to handle violence threat in school include the following;
Do not threaten back or start fightDo not call 911 immediatelyCalmly leave the placeDo not be scared to reportAvoid further confrontation and get to a safe placeThus, Grant can respond in this situation by calmly leaving and then report the threat.
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Please answer these 3 questions
1. 64 - 7c
2. 4x-3
3. p< -28
Step-by-step explanation:
6. -6 -7(c+10)
[tex]-6-7c+70\\-7c+64\\64-7c[/tex]
64 - 7c
7. 3x+4(x-6)-3(x-7)
[tex]3x+4x-24-3x+21\\4x-3[/tex]
4x-3
8. p+4 < -24
Subtracting 4 from both sides
[tex]p+4-4<-24-4\\p<-28[/tex]
p< -28
Keywords: linear equations, subtraction
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you mix 0.25 cup of juice concentrate for every 2 cups of water to make 18 cups of juice. how much juice concentrate do you use? how much water do you use ?
Answer:
You have a total of 2.25 cups of liquid each time you add 2 cups of water with .25 cups of concentrate.
You want to know how many times 2.25 cup "units" there are in 18 cups.
(18)/(2.25) = 8, so you have 8 "units" of water and concentrate
In each of those 8 "units" you have .25 cups concentrate, so (8)(.25) = 2 cups of concentrate.
In each of the "units" you have 2 cups of water, so (8)(2) = 16 cups water.
Please let me know if you have any questions.
Step-by-step explanation:
To make 18 cups of juice, you'll need approximately 2 cups of concentrate and 16 cups of water given the ratio of the recipe.
Explanation:To answer your question, we need to solve a proportion problem.
The recipe's ratio is 0.25 cups of juice concentrate to 2 cups of water. This means for every 0.25 cups of concentrate, you add 2 cups of water to get 2.25 cups of juice.
Since you want to make 18 cups of juice, you can set up a proportion:
0.25:2=concentrate:water 2.25/0.25=18/x(x=concentrate) Cross-multiply and divide to find x= 2(approx)
Therefore, to make 18 cups of juice, you'll need approximately 2 cups of concentrate and 16 cups of water.
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Which postulate proves these two triangles are congruent?
Answer:
the ASA which is B. proves that the two triangles are congrugent
Mrs. Smith’s class is making vests. Each vest uses 2/3 of a yard of fabric. How many vests can they make out of 18 yards of fabric?
Answer:
27 vests
Step-by-step explanation:
If a vest is made out of 2/3 yard of fabric, then to know how many vest can be made with 18 yards, of fabric, we apply simple three rule, like this:1 vest --------- 2/3 yard
x vest -------- 18 yards
Then, to know how many vest can be made out of 18 yards of fabric ("x"), we divide 18 by (2/3): [tex]\frac{18}{\frac{2}{3}} =18\frac{3}{2} =24[/tex].Final answer:
Mrs. Smith's class can make 27 vests out of 18 yards of fabric by dividing the total yards of fabric by the fabric needed for one vest, i.e., dividing 54 thirds of fabric by 2 thirds per vest.
Explanation:
The student's question involves a practical application of division in mathematics, specifically the division of fractions. To determine how many vests can be made from 18 yards of fabric, we need to divide the total yards of fabric by the amount of fabric needed for each vest.
Since each vest uses 2/3 of a yard of fabric, and Mrs. Smith has 18 yards of fabric, we can set up the following equation to find the number of vests:
Convert 18 yards to thirds to match the unit in the vest requirement. (18 yards * 3 thirds) = 54 thirds.
Divide the total thirds of fabric by the thirds needed for one vest. (54 thirds ÷ 2 thirds per vest) = 27 vests.
Therefore, Mrs. Smith's class can make 27 vests out of 18 yards of fabric.
Translate the sentence into an inequality
The quotient of c and 5 is at most 18 .
Answer:
[tex]18 ≥ \displaystyle \frac{c}{5}[/tex]
Step-by-step explanation:
You can either write what I did in the above answer, or you could have done this:
[tex]\displaystyle \frac{c}{5} ≤ 18[/tex]
The keyphrase is at most, so you would give the inequality a less than or equal to.
I am joyous to assist you anytime.
What is the product?
Answer:
Your answer is C.
Step-by-step explanation:
When multiplying matrices, if they are the same number of rows and columns, you multiply.
The answer is C.
[ -9 -8]
[2 0]
Step-by-step explanation:
You multiply -3 by 3, 4 by -2, 2 by 1, and -5 by 0
which gives you:
-3 x 3= -9
4 x -2= -8
2 x 1 = 2
-5 x 0= 0
3/4(8p+12)+3/8(16p-8)
6 • (2p + 1) Is the correct answer.
which of the following is important to remember when writing a job object? select all that apply
Answer:
i believe it is a and b
Step-by-step explanation:
Answer:
make it general to include a career goal and qualifying skills.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
which of the following is important to remember when writing a job objective select all that apply :
make it general to include a career goal and qualifying skills. make it as detailed as possible. write to the highest job level your qualified for. write to the lowest job level your qualified for. Included only jobs that are located where you live. Included only jobs that are located where you want to live.My answer:
We need to understand what is a career objective?
It is a short introduction about your resume or CV to prove recruiters why they should hire you. It should be short and attractive with no more than five lines. Declaration career goals should be realistic and specific roles (SMART goal) In this case, a joint statement with career goals and skills your eligibility can serve as a good job goals
Only the first choice is the best answer for this question.
Hope it will find you well.
if anna had 50 apples and jack had 75 green apples how much is all together
Answer: 125 apples
Step-by-step explanation:
Please help!!!!!!!!!!!!
Answer:
x = 7
Step-by-step explanation:
Since the segment is an angle bisector, the sides are in the ratio
[tex]\frac{14}{21}[/tex] = [tex]\frac{6}{3x-12}[/tex] ( cross- multiply )
14(3x - 12) = 126 ( divide both sides by 14 )
3x - 12 = 9 ( add 12 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
A fuzzy sticker costs $.50 and an oily sticker costs $.75.
How much would k fuzzy stickers and m oily stickers cost?
Answer:
Total = 0.5k + 0.75m
Step-by-step explanation:
Corbin’s parents want to save $50,000 for his college education and already have $25,000. About how long would it take them to double their current savings if they can earn an 8% interest rate?
Answer:
about 9 years
Explanation:
To solve this problem we will use what is known as 'The Rule Of 72.' This particular rule is what the Mathematical World considers a 'short cut.' That's because it is an efficient way to calculate how long it takes money to double, base solely on the interest rate. However, it is important to remember that this rule only provides an estimate, and not an exact amount of years.
The Rule Of 72 is as follows:
[tex]\displaystyle\frac{72}{[interest][rate]}[/tex] = time it takes for investment to double
*please note that I separated the word 'interest' and 'rate' using brackets. however, please ignore them. as I only used the brackets to separate the words since the equation option does not allow space between letters.
Now that you understand the Rule Of 72, let's use it to solve the given problem.
Corbin’s parents want to save $50,000 for his college education and already have $25,000. About how long would it take them to double their current savings if they can earn an 8% interest rate?
Although the first sentence in the problem gives us information of the parents goal and their current amount saved, this information will not be useful to us. As the Rule Of 72 goes, we only need to know the interest rate to solve.
Looking at the second sentence it states the interest rate is: 8%
Now substitute the interest rate in the Rule Of 72.
[tex]\displaystyle\frac{72}{[interest][rate]}[/tex] ⟶ [tex]\displaystyle\frac{72}{8}[/tex]
The last step is to simplify (or divide).
[tex]\displaystyle\frac{72}{8} = 9[/tex]
So, according the Rule Of 72, it will only take about 9 years to double their current savings.
Answer:
9 years
Step-by-step explanation:
i did that and i got it right
Some rectangular tiles measure 15 cm by 9 cm . What is the length of the side of the smallest square area that can be covered by these tiles? PLS HELP
Answer:
45 cm
Step-by-step explanation:
Find LCM(15,9). First factor both numbers:
[tex]15=3\cdot 5\\ \\9=3\cdot 3[/tex]
So,
[tex]LCM(15,9)=3\cdot 5\cdot 3=45[/tex]
This means that the length of the side of the smallest square area that can be covered by these tiles is 45 cm.
Practically, you can put 3 tiles in a row (to make 3 lenghts of 15 cm each that add up to 45 cm) and put such 5 rows (to make 5 lengths of 9 cm that add up to 45 cm).
A total of 778 tickets were sold to charity event. A newspaper article rounded 778 when it listed the number of tickets sold. Round the number if tickets to the nearest ten and to the nearest hundred. Fill in the blanks to show about how many tickets were sold.
Answer:
780 and 800
Step-by-step explanation:
hdvevdbsbsvbsbsbsbd
Which of the following equations matches the proportional relationship?
(A) A cell phone rate plan costs 6 cents per minute.
y= 0.06x
(B) A bag of 10 apples costs $6.
y= 60x
(C) A car is driving at an average speed of 60 miles per hour.
y= 0.60x
(D) A person burns 6 calories per minute using a rowing machine.
y= 60x
Answer:
Option (A) will be the correct match.
Step-by-step explanation:
We are asked to find which of the given equations matches the proportional relationship.
The only option (A) matches,
It is given that a cell phone rates plan costs 6 cents per minute.
Now, 6 cents is equivalent to $0.06.
Therefore, for a call of duration x minutes the cost of the call y, in dollars, will be given by
y = 0.06x
So, option (A) will be the correct match. (Answer)
10 watermelon coat $15.What is the cost of one watermelon?
Answer:
$1.50
Step-by-step explanation:
To get the answer, simply divide the cost of 10 watermelon by the total number of watermelon, to get the cost of one watermelon.
So:
$15/10=1.50
one watermelon costs $1.50
44. Melissa helps her grandfather at his store. Each mornin
ther at his store. Each morning before the store opens, she places a
total of $100 into the cash register so that change can be made for purchase
must include the following:
change can be made for purchases. The total amount
• $20 in five-dollar bills and $30 in one-dollar bills
• At least one roll each of quarters, dimes, nickels, and pennies
i ne partially completed chart below shows the dollar value for each kind of money that Melissa
must put into the cash register. Complete the chart to show one way Melissa could make a tota
must put into the
of $100.
Money to be placed in the Cash Register
Kind of Money
Dollar Amount
of Each Kind
of Money
Number of Each
Kind of Money
to be placed in
Cash Register
Total Amount of
Each Kind of
Money
$20.00
$30.00
30
$5 bill
$1 bill
Rolls of Quarters
Rolls of Dimes
Rolls of Nickels
Rolls of Pennies
$5.00
$1.00
$10.00
$5.00
$2.00
$0.50
$100.00
HOW TO: SOLVE AN APPLICATION
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
What the circumference of 4.5 cm
What is the area of a circle with a diameter of 4x - 24? Specifically what steps would you take?
Answer:
12.56x^2+452.16
Step-by-step explanation:
A=pie r^2
(4x-24)/2= 2x-12 which is your radius
(2x-12)^2=4x^2+144
Pie=3.14ish
3.14(4x^2+144)
12.56x^2+452.16
Answer:
Step-by-step explanation:
The formula for the area of a circle is
A = πr². We need the radius, r, to calculate the circle.
If the diameter of the circle is 4x - 24, then the radius is half that, or
2x - 12.
Then the area of the circle in question is A = πr², or
A = π(2x -12)²
If desired, this could be expanded:
A = π(4)(x - 6)² = 4π(x^2 -12x + 36)
Select all that apply.
Answer:
The expressions that are equivalent are A, D, and E.
Step-by-step explanation:
Given:
-7z+ ( - 6.5) + 3.5z + 6y - 1.5.
On solving the equation:
[tex]-7z+ ( - 6.5) + 3.5z + 6y - 1.5[/tex]
[tex]-7z - 6.5+ 3.5z + 6y - 1.5[/tex]
[tex]-7z + 3.5z + 6y - 1.5-6.5[/tex]
[tex]-3.5z+6y-8[/tex]
So, on solving the equation we get the expression:
[tex]-3.5z+6y-8[/tex]
According to question:
We see that expressions:
A. [tex]-8+6y+(-3.5z)[/tex]
[tex]=-8+6y-3.5z = 3.5z+6y-8[/tex]
So, this expression is equivalent.
D. [tex]6y-8-3.5z[/tex]
[tex]=3.5z+6y-8[/tex]
So, this expression is also equivalent.
E. [tex]-3.5z+6y-8[/tex]
So, this expression is also equivalent.
Therefore, the expressions that are equivalent are A, D, and E.
Discrimination of Y= -4x^2+ 2x+1
Discriminant = 16
As 16>0, The roots will be real and unequal.
Step-by-step explanation:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c = 0[/tex]
The discriminant is calculated as:
[tex]D=b^2-4ac[/tex]
Given equation is:
[tex]Y=-4x^2+2x+1[/tex]
Here
a = -4
b = 2
c = 1
Putting the values
[tex]D =(2)^2 - 4(-4)(1)\\=4+16\\=20[/tex]
The discriminant is 16 which is greater than zero so the roots of the equation will be real and unequal.
Keywords: Discriminant, Quadratic equation
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please help me with this homework problem
Answer:
Ship BStep-by-step explanation:
In each triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.
Calculate a measure of an angle A.
We know: The sum of the angle measures in a triangle is 180°.
Therefore:
m∠A = 180° - (46° + 62°) = 180° - 108° = 72°
m∠B = 62°
LB is opposite ∠A, LA is opposite ∠B.
m∠A > m∠B → LB > LA.
Therefore Ship B is further away.
Please help! THE QUESTION IS IN THE PIC!
Answer:
-11 x + 19 thus c.) is your answer
Step-by-step explanation:
Simplify the following:
-5 + 4 (6 - 2 x) - 3 x
4 (6 - 2 x) = 24 - 8 x:
-3 x + 24 - 8 x - 5
Add like terms. 24 - 5 = 19:
-3 x - 8 x + 19
-8 x - 3 x = -11 x:
Answer: -11 x + 19
A pancake recipe requires one and one third cups of milk to one cup of flour. If four and two thirds cups of milk is used, what quantity of flour will be need
according to the recipe?
Final answer:
According to the recipe, 3.5 cups of flour will be needed when using 4 and 2/3 cups of milk.
Explanation:
To determine the quantity of flour needed according to the recipe, we can set up a proportion using the given ratios. The recipe states that 1 and 1/3 cups of milk is needed for 1 cup of flour. So, we can set up the proportion:
1 and 1/3 cups of milk / 1 cup of flour = 4 and 2/3 cups of milk / x cups of flour
Next, process is to cross-multiply and find x:
Therefore, according to the recipe, 3.5 cups of flour will be needed when using 4 and 2/3 cups of milk.
Answer:
Three and a half cups of flourStep-by-step explanation:
Solve for the quantity of flour using a proportion.
Milk to flour ratioslet x be the missing quantity of flour
Recipe ratio is 1 1/3 to 1
Needed ratio is 4 2/3 to x
Write each milk to flour ratio as a fraction. Equate them, and they become a proportion:
[tex]\dfrac{1\dfrac{1}{3} }{1} = \dfrac{4 \dfrac{2}{3} }{x}[/tex]
Find the scale factor for the increase of milk by dividing the needed quantity by the recipe quantity .
Divide 4 2/3 by 1 1/3:
[tex]4\dfrac{2}{3} \div 1\dfrac{1}{3}[/tex]
[tex]=\dfrac{14}{3} \div \dfrac{4}{3} = \dfrac{14}{3} * \dfrac{3}{4}[/tex]
[tex]= \dfrac{42}{12} = \dfrac{7}{2} = 3.5[/tex]
The scale factor is 3.5.
The scale factor for increasing milk is the same for flour. Multiply the recipe quantity of flour by the scale factor to get the needed quantity of flour.
Multiply 1 by 3.5:
1 * 3.5 = 3.5
We will write this in word form, just as it is in the question.
Therefore, we need three and a half cups of flour when there are four and two-thirds cup of milk.
6x - 11y = 29
-5x + 22 y = 40
Answer:
x=14, y=5. (14, 5).
Step-by-step explanation:
6x-11y=29
-5x+22y=40
--------------------
5(6x-11y)=5(29)
6(-5x+22y)=6(40)
-------------------------
30x-55y=145
-30x+132y=240
---------------------------
77y=385
y=385/77=5
6x-11(5)=29
6x-55=29
6x=29+55
6x=84
x=84/6=14
x=14, y=5.
Need help with exponential functions quick
30 points
Answer:
Since the independent variable x is not the exponent, [tex]y = - 7 x^{8}[/tex] does not represent an exponential function.
Step-by-step explanation:
The general expression of an exponential function is [tex]f(x) = a^{x}[/tex], where a > 0 and a ≠ 1
Now the given function is [tex]y = - 7 x^{8}[/tex] ..... (1)
So, we can say that the function f(x) = y is not an exponential function as x is not in power of any constant.
Therefore, since the independent variable x is not the exponent, [tex]y = - 7 x^{8}[/tex] does not represent an exponential function. (Answer)
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)?
y + 3 = −4(x + 4)
y + 3 = –One-fourth(x + 4)
y + 3 = One-fourth(x + 4)
y + 3 = 4(x + 4)
The missing figure of the given line is attached
The equation in the point-slope form of the line is [tex]y+3=\frac{1}{4}(x+4)[/tex] ⇒ 3rd answer
Step-by-step explanation:
The relation between the perpendicular lines
The product of their slopes is -1If the slope of one of them is m, then the slope of the other is [tex]\frac{-1}{m}[/tex]The formula of the slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The point-slope form of the equation of a line is [tex]y-y_{1}=m(x-x_{1})[/tex] , where [tex](x_{1},y_{1})[/tex] is a point on the line
From the attached figure
The given line passes through points (-1 , 1) and (0 , -3), use them to find the slope of the line
∵ [tex]x_{1}[/tex] = -1 and [tex]x_{2}[/tex] = 0
∵ [tex]y_{1}[/tex] = 1 and [tex]y_{2}[/tex] = -3
∴ The slope of the given point = [tex]\frac{-3-1}{0-(-1)}=\frac{-4}{1}=-4[/tex]
∵ The product of the slopes of the perpendicular lines is -1
∵ The slope of the given line = -4
- Reciprocal the number and change its sign
∴ The slope of the perpendicular line = [tex]\frac{1}{4}[/tex]
∵ The slope-form of the equation is [tex]y-y_{1}=m(x-x_{1})[/tex]
∵ [tex]m=\frac{1}{4}[/tex]
∵ The line passes through point (-4 , -3)
∴ [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = -3
- Substitute these values in the form of the equation
∴ [tex]y-(-3)=\frac{1}{4}(x-(-4))[/tex]
∴ [tex]y+3=\frac{1}{4}(x+4)[/tex]
The equation in the point-slope form of the line is [tex]y+3=\frac{1}{4}(x+4)[/tex]
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The equation in point-slope form of the line that is perpendicular to the given line and passes through the point (−4, −3) is; y + 3 = 1/4(x + 4)
The slope of the given straight line graph is; -4.
The slope of the perpendicular line is therefore; -1/-4 = 1/4
In essence, the point-slope form of the equation of a straight line takes the form;
(y -a) = m (x -b)I'm this case; a = -3 , b= -4 and m = 1/4
The equation is therefore; y + 3 = 1/4(x + 4)
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What is the value of p?
LaTeX: (21+9)-(8-4)=p( 21 + 9 ) − ( 8 − 4 ) = p
Group of answer choices
A. 42
B. 26
C. 18
D. 8
Answer: B. 26
Step-by-step explanation:
(21+9)-(8-4)=p
30-4=p
26=p
Matthew scored a total of 168 points in basketball this season. He scored 147 of those in the regular season, and and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
Answer:
12.5%
Step-by-step explanation:
Step1. Determine the points Matthew had during playoff by subtracting points made during regular season from total points in season.
168 points this season
- 147 points regular season
21 points scored in playoff
Step 2. Get the percentage, by dividing playoff points over total points in season
21 ÷ 168 = 0.125
Step 3. Multiply it by 100 to get the percentage equivalent from decimal.
0.125 x 100% = 12.5%