Answer:
John had $2088 originally in his savings accounts.
Step-by-step explanation:
Let John had $x originally in his saving account
He spent $198 on a radio. The remaining money = x - $198
4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)
= (1 - 4/12) of (x-198)
= 2/3 of (x-198)
John then put 2/9 if his remaining money into a checking account.
Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)
= (1 - 2/9) * 2/3*(x-198)
= 7/9 * 2/3*(x-198)
= 14/27(x-198)
Money left with him = $980
14/27(x-198) = $980
x - 198 = $980 * 27 / 14
x - 198 = 1890
x = 1890 + 198
x = 2088
Hence, John had $2088 originally in his savings accounts.
Question 1 of 10
A birthday cake was cut into equal pieces, and 3 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
7
10
o
A. 3
B. 7
C. 10
D. 13
Answer:
Step-by-step explanation:
It’s 10 pieces in all before people ate it.
Stacy wants to go on a vacation that will cost her at least $1540. She has $1825 saved but has
$65 deducted every week from her paycheck to pay for her insurance. At most, how many
weeks can she have these deductions made in order to afford her vacation
Answer:
4 weeks
Step-by-step explanation:
First,, we should subtract the vacation price from her savings to get the base. That is 1835-1540=295. Then we can do 295/65,, and then we get 4 7/13. So,, she can only afford 4 weeks of these deductions in order to have enough money for her vacation.
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.
True:
3rd One
4th One
False: All of the others.
It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.
Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each received a piece that was the same size. what fraction of the pizza did Jim have
Answer:
Jim had 1/3 of of the pizza
Step-by-step explanation:
He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6
2/6 simplify if, 1/3.
can someone check my account to help me on my newest math problems?
CORRECT ANSWERS ONLY
wrong ones will be reported instantly
Answer:
Absolutely, I would be more than willing to.
answer pls--
^^
:D
hehe
Answer:
42.24 in
Step-by-step explanation:
The formula for area is 1/2bh
1/2 x 8.8 x 9.6
use calculator
=42.24
Have a great day!
Answer:
The answer is 42.24
Cuantos casos de co vid hay en colombia 26 de octubre y cuantos casos y muertes reportan hoy?
Answer:
The country's capital is the region most affected by the pandemic. So far it has registered 308,645 positive cases. In recent weeks there has been an increase in cases, however, the Intensive Care Units continue to be controlled. Bogotá has been experiencing economic reactivation for several weeks, but they do not rule out some drastic measures in the future
Step-by-step explanation:
simplify rs
r (0,a)
s (b,c)
p (b,-c)
q (0,-a)
Answer:
see explanation
Step-by-step explanation:
Calculate RS using the distance formula
d = [tex]\sqrt{(x_{2 -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = R(0, a) and (x₂, y₂ ) = S(b, c) , thus
RS = [tex]\sqrt{(b-0)^2+(c-a)^2}[/tex]
= [tex]\sqrt{b^2+(c-a)^2}[/tex]
Following are the calculation to the distance of rs:
Given:
Please find the question.
To find:
distance in rs=?
Solution:
Using the formula of distance:
[tex]\to d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
points:
[tex]\to R=(0,a)\\\\\to S=(b,c)[/tex]
[tex]\to (X_1, y_1) = R(0, a) \\\\ \to (x_2, y_2 ) = S(b, c)[/tex]
Calculate RS distance by using the above formula:
[tex]\to RS=\sqrt{(b-0)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{\sqrt{b^2+(c-a)^2}}[/tex]"
Learn more about the distance:
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If a = -7 and b = -16, what is the value of - a - b?
is it
-23
-9
23
9
what value of x makes x -4 = -2 a true statement a.6 b.2 c.-2 d.-6
Answer:
I think the answer is 2
Answer:
b) 2
Step-by-step explanation:
x-4= -2
2-4= -2
hope it will help you......
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST) 93 POINTS
From the grocery store you need to purchase 1/2 lb cheese, 3 lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off if your purchase totals more than $15.00 or 10% off if the total is more than $20.00. The food sales tax is 3%. What is the total cost of the groceries after the best discount is given and taxes applied?
Item Cost
Cheese $1.99/lb
Sliced Ham $3.29/lb
Bread $1.59/loaf
Potato Chips $1.99/ea OR 2 for $3.00
Salsa $1.39/container
$17.96
$21.44
$16.86
What is 10 to the 5th power times 456
Answer:
45,600,000
Step-by-step explanation:
10 to the 5th power is 100,000 times 456 which is 45,600,000
Correct me if I am wrong
Hope this helps!
NEED HELP!! ASAP!! 50 POINTS!!
Write an equation of the line that passes through the given point an satisfies the given condition.
(-3,-5); parallel to y = -4x + 1
-6 = -1/2(9) + B
-6 = 4.5 + B
-6--4.5 = B
-1.5 = B
B= -1.5
y=-1/2x - 1.5
y=-1/2(9) - 1.5
y= -4.5-1.5
y=-6
The value of \sqrt{45 is between what.
Answer:
Between 6 and 7
Step-by-step explanation:
sqrt(36) = 6 and sqrt(49) = 7. 36<45<49, so sqrt(45) is between 6 and 7
t - 6 1/3 = - 9 3/4
solve this !
Answer: T=-3 5/12
Step-by-step explanation: 6 1/3-6 /13
6 1/3-9 3/4= -3 5/12
T= -3 5/12
Answer:
[tex]t=-2\frac{1}{12}[/tex]
Step-by-step explanation:
A local farm has a 0.75 acre field that was planted with 26,100 corn plants. one acre is equivalent to 43,500 square feet.
Assuming the same planting density, how many corn plants could they plant on a field with an area of 80,000 square feet?
The options are:
A. 34,800
B. 48,000
C. 60,000
D. 64,000
E. 100,000
(Please answer this as fast as possible)
Answer:
D
Step-by-step explanation:
So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:
80,000/43,500 is 1.83908045977
After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:
1.83908045977/.075 is 2.45210727969
Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:
2.45210727969 times 26,100 is 64,000 even.
The number of corn plants that could be planted on 80,000 square feet is : 64000.
What is an acre?An acre is a unit for expressing the area of big shapes and objects like fields, farm lands.
Analysis:
If 1 acre is equivalent to 43500square feet, then 0.75 acre would be
0.75 x 43500 = 32625 square feet.
If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex] = 64000 corn plants.
Learn more about area : brainly.com/question/25292087
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Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries. If Joy wants to use 6 cups of blueberries in the fruit salad, how many cups of strawberries will she need to use? Use Scratchpad to draw a tape diagram to show your work.
Answer:
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
Product of extreme = Product of mean
Dividing both sides by 2
Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. How can you represent this situation with an equation?
Answer:
73.00=5.50x+25.50y
Step-by-step explanation:
Answer:
25.50x + 5.50y = 73.00
Step-by-step explanation:
Pick a variable for x and y (x is pants and y is T-shirt)
Since she buys pants and T-shirts you add the two values
Since she spent $73 you make it equal to 73
Need help on these 2 questions please??? 14 points ?
Answer:
8 is congruent 9 isnt
Step-by-step explanation:
Answer: 8. is Congruent and 9. Isn't Congruent
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLY
Rewrite 2/5 and 3/4 so that they have common denominators. Then add the fractions and simplify the sum
Answer:
Exact Form:
23/20
Decimal Form:
1.15
Mixed Number Form:
1 3/20
Find the sum of 3-7i and 8+4i
A. 22-8i
B. 11+3i
C. -22+8i
D. 11-3i
NEED HELP! PLEASE! ASAP! 55 POINTS!
Tell whether the given order pairs are solutions of the inequality.
y ≥ - 2x + 4 ; (0,4) (-1,8)
Answer:
both
Step-by-step explanation:
hi! let's plug in the ordered pairs into the equation. the x-coordinate is substituted for x in the equation, while the y-coordinate is substituted for y.
y≥-2x+4
(0,4)
4≥-2(0)+4
4≥0+4
4≥4
this is correct since 4 is equal to 4.
(-1,8)
8≥-2(-1)+4
8≥2+4
8≥6
this is also correct since 6 is less than 8.
therefore, both ordered pairs are solutions of the inequality.
A plane can carry 360 passengers. On a particular day, there are 240 passengers on the plane. Identify the correct inequality and the solution to show how many more passengers the plane can carry?
Answer:
p + 240 ≤ 360; p ≤ 120
Step-by-step explanation:
The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.
The number of more passengers is 120.
What is inequality?It is a statement of an order relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
We have,
Number of passengers in a plane = 360
Number of passengers in a day = 240
The inequality represents the number of more passengers that can carry:
240 + x = 360
Where x is the number of more passengers.
Find x.
240 + x = 360
Subtract 240 on both sides.
240 + x - 240 = 360 - 240
x = 120
Thus,
The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.
The number of more passengers is 120.
Learn more about inequality here:
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Answer please. For money.
x = 21.75 (third option)
lol i accidentally added a comment sorry
suppose CM and DM intersect AB as shown. allison states angleAMC + angleCMD + angleDMB = angleAMB. which justifies allison’s statement?
Answer:
A. Angle Addition Postulate
Step-by-step explanation:
<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.
According to angle addition postulate, the measure of <AMB is the sum of these three angles.
Therefore, angle addition postulate justifies Allison's statement that states:
<AMC + <CMD + <DMB = <AMB.
Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.
Segment addition nor construction of an angle bisector do not also justify his statement.
The right answer is: A. Angle Addition Postulate.
Sheila makes $12.50 per hour. Calculate her earnings for a 40-hour week.
Gross Earnings
Taxes Withheld
Gross Pay
Social Security Tax
$31.00
Medicare Tax
$7.25
Total Amount of Withholdings/
Federal Tax
$44.05
Deductions:
State Tax
$15.85
Deductions
Net Pay:
Net Earnings
$
Accompanies: Employee Compensation Components
What is the gross pay, net pay and the total witholding?
Gross pay is the total amount earned before any deductions.
Gross pay 12.50 x 40 = $500
Shelia's total amount of withholding is the sum of all the taxes paid.
Shelia's total amount of withholding = 31 + 7.25 + 44.05 + 15.85 = $98.15
Net pay is the gross pay less the total withholding.
$500 - $98.15 = $401.85.
To learn more about taxes, please check: https://brainly.com/question/25311567
Solve for x in the following triangle.
Answer:
x = 12
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
8 + 6x is an exterior angle of the triangle, thus
8 + 6x = 30 + 4x + 2 = 4x + 32 ( subtract 4x from both sides )
8 + 2x = 32 ( subtract 8 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?
Answer:
As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.
Step-by-step explanation:
Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.
HELP MEE YALL 6TH GRADE MATH
Answer:
probably 10
Step-by-step explanation:
Answer:
its 10/10
Step-by-step explanation:
all you have to do is add the top numbers the bottom says the same
9x+7 when x+3
and
x4 when x =3
pls do step by step
Answer:
34
Step-by-step explanation:
9x+7 when x=3
Plug 3 into the equation for the variable x
So, it would be 9(3)+7
Multiply 9×3 together to get 27
Finally, add 27 and 7 together
The answer should be 34
Answer:
x=1
Step-by-step explanation: 9x+7=16
Subtract 7 from both sides.
9x=16−7
Subtract 7 from 16 to get 9.
9x=9
Divide both sides by 9.
Divide 9 by 9 to get 1.
x=1