Answer:
9 or 9 months (if you have to add units)
Step-by-step explanation:
Subtract 15 from his savings:
420-15 = $405
This is the amount left he has to pay the monthly membership
405/45 = 9
9 is the number of months
Answer:
9 months
Step-by-step explanation:
Set up and solve the equation 15 + 45x = 420. Begin by subtracting 15 from both sides. After paying 15 dollars for the deposit, He will have $405 dollars left. Divide both sides of the equation by 45. When you divide 405 by 45 that will tell you how many months the membership can be paid.
Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?
Answer:
Mary has $1120
Step-by-step explanation:
money mary has at first : x
money jane has at first : y
Mary brought twice as much money as Jane : x=2y
Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240
=> [tex]\left \{ {{x=2y} \atop {x-800=y-240}} \right.[/tex]
=> x=1120
y=560
Answer:
Mary had $1,120Step-by-step explanation:
Let the amount mary and jane had be 2x and x respectively.
Let the equal amount be y:
[tex]mary \: (y = 2x - 800) \\ jane \: (y = x - 240)[/tex]
Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:
[tex]y = 2x - 800 \\ 2y = 2x - 480[/tex]
Subtract the second equation from the first equation:
[tex] - y = - 320 \\ y = 320[/tex]
$320 was their equal amount.
Substitute 320 for y in any equation:
[tex]y = x - 240 \\ 320 = x - 240 \\ x = 320 + 240 \\ x = 560 \\ \\ 2x = 1120[/tex]
Therefore, Jane had $560 at first and Mary had $1120 at first.
b^2 – 4ac if a = 2, b = 9, and c = 4
Answer:
49
Step-by-step explanation:
[tex](b)^{2} - 4(a)(c) \\(9)^{2} - 4(2)(4) \\81 - 4(2)(4) \\81 - 32 \\49[/tex]
what is the volume of this cone? use 3.14 for pi in round your answer to the nearest 10th. In your answer, give the volume of the cone rounded to the nearest 10th, and explain how you calculated it.
Two of the interior angles of a triangle are 84.0° and 30.0. Find the measure of the
third interior angle in degrees to one decimal place.
Answer:
66.0°
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°.
Let "x" represent the measure of the third interior angle. We can use this to set up an equation:
84.0° + 30.0° + x = 180°
Add like terms:
114.0° + x = 180°
Subtract 114.0° from both sides:
x = 66°
The question asks for the answer to be in degrees to one decimal place, therefore:
x=66.0°
Giselle played with some friends on Monday. She played with 2 times as many friends on Wednesday.This was 4 more than on Friday.On Friday,she played with 4 friends.How many did she play with on Monday?
You can download the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf
Let y=6 and z=2. Translate “z less than y” into an algebraic expression and solve it
Answer:
y - z; 6 - 2; 4
Step-by-step explanation:
z less than y means subtract z from y
y - z
Substitute the given values.
6 - 2
4
Alex had $750,000 he lost 80% how many dollars did he lose
Answer:
$600,000
Step-by-step explanation:
GIven;
Alex had $750,000 he lost 80%
To Find;
How many dollars did he lose
Solve;
$750,000 * 80% = 600,000
Hence, Alex lost $600,000.
~Learn with Lenvy~
Answer:75,000
Step-by-step explanation:he has 750,000 but he loses 80% so he has 75,000 about.
Diego is flying from Philadelphia to Barcelona. On the trip to Barcelona, the plane flies at a constant cruising
speed of 550 mph.
reaches its cruising speed, which is
On the trip home, Diego makes a chart of the plane's progress once
constant
Which is faster the cruising speed on the flight from Philadelphia to Barcelona, or the cruising speed on the flight home?
Hour
1
2
3
A
Miles
530
1060
1590
US
Choose 1 answer:
Со
The cruising speed on the flight from Philadelphia to Barcelona
The cruising speed on the flight home
Pro
Pro
© The two cruising speeds are the same.
The faster speed is the cruising speed on the flight from Philadelphia to Barcelona.
Which speed is faster?
Average speed is the total distance travelled per time. It is used to determine how fast an object is moving with respect to time.
Average speed = total distance / total time
Average speed on the flight back home = 530 / 1 = 530 mph
To learn more about average speed, please check: https://brainly.com/question/21734785
“The total cost of producing Q units of a given product is given by TC = 500+ 4Q2-12Q Compute Marginal cost and average cost “
The total cost of producing Q units of a given product is given by TC = 500+ 4Q2-12Q. Compute Marginal cost and average cost
Step-by-step explanation:
The proof that ΔEFG ≅ ΔJHG is shown.
Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.
Prove: ΔEFG ≅ ΔJHG
Triangles E F G and J H G share common point G.
Statement
Reason
1. G is the midpoint of HF 1. given
2. FG ≅ HG 2. def. of midpoint
3. EF ∥ HJ 3. given
4. ? 4. alt. int. angles are congruent
5. EF ≅ HJ 5. given
6. ΔEFG ≅ ΔJHG 6. SAS What is the missing statement in the proof?
∠FEG ≅ ∠HJG
∠GFE ≅ ∠GHJ
∠EGF ≅ ∠JGH
∠GEF ≅ ∠JHG
Answer: ∠GFE ≅ ∠GHJ
Step-by-step explanation:
In triangle EFG, we have side FG (which is opposite angle E) and EF (the side opposite angle G).
For SAS, we need the angle in between these sides, which would be angle F.
Answer:
B.∠GFE ≅ ∠GHJ
Step-by-step explanation:
got it correct on my quiz
which functions graph is the widest parabola A. y=1/8x^ B.y=3x^ C. y=1/3x^ D. y=8x^
[tex] \frac{1}{8} = 0.125[/tex]
[tex]3 = 3[/tex]
[tex] \frac{1}{3} = 0.333[/tex]
[tex]8 = 8[/tex]
Answer:y=1/8 x²Answer:
A. y=1/8x^
Step-by-step explanation:
CAN SOMEBODY HELP ME PLEASE
Answer:
(A) P(t) = 220t - 435 390
(B) predicted moose population = 6370
Step-by-step explanation:
the longer working shows the explanation and working for part A while the shorter working is for part B
Triangle ABC is isoceles and has a perimeter of 20cm.Sides AB and AC are each twice as long as BC. Calculate the length of the side BC
Answer:
length of the side BC=4
Step-by-step explanation:
length of the side BC = x
length of the side AB = 2x
length of the side AC = 2x
x + 2x + 2x = 20
5x=20
x=4
BC = 4
AB=8
AC=8
8+8+4=20
Find the equation of the line that goes to the point (8,-8) that is perpendicular to the line with the equation of y=2/7 x - 26
Step-by-step explanation:
line equation
y = ax + b
a is the slope, b is the y-intercept.
a slope perpendicular to another slope flips x and y upside down and flips the sign.
so, the slope perpendicular to 2/7 is -7/2.
so, our desires line function looks like
y = -7/2 × x + b
to get b we use the given point (and it's x and y coordinates = values).
-8 = -7/2 × 8 + b = -7×4 + b = -28 + b
b = 20
so, the full line equation is
y = -7/2 × x + 20
Felix is dividing 322 by 12. He says the answer is going to be smaller than 322.
Do you agree with him and why?
Answer: Because dividing means to split into smaller groups
In Steven's grade, 1/3 of the students have a sister. Of the students who have a sister, 3/5 also have a brother. What fraction of the students in Steven's grade have both a sister and a brother?
Answer:
You are looking for 1/2 OF 2/3
In word problems such as this OF
means to multiply.
(1/2)(2/3) = 2/6 = 1/3
Step-by-step explanation:
Help picture below problem 9
Answer:
42 degrees
Step-by-step explanation:
Complimentary angles are two angles whose total is equal to 90 degrees. Since we already know that Angle N measures at 48 degrees, all we have to do is subtract that from 90 degrees to find the measure of Angle I.
90 - 48 = 42
So, the measure of Angle I is 42 degrees! It's pretty easy finding complementary angles once you know how to. I hope this helps! Have a lovely day!! :)
(p.s. I do teaching textbooks too)
Answer:
Step-by-step explanation:
Complementary angles add up to 90°
∠I + ∠N = 90
∠I + 48 = 90
∠I = 90 - 48
∠I = 42°
=
If f(x) is an exponential function where f(-2) = 25 and f(7) = 85, then find the
value of f(14), to the nearest hundredth.
=
Exponential from two points
The exponential function f(x) can represent growth or decay
The value of f(14) is 226.07
How to determine the value of f(14)?The given parameters are:
f(-2) = 25 and f(7) = 85
An exponential function is represented as:
f(x) = ab^x
So, we have:
ab^-2 = 25
Also, we have:
ab^7 = 85
Divide both equations.
This gives
b^9 = 3.4
Take the 9th root of both sides
b = 1.15
Recall that:
ab^7 = 85
This gives
a* 1.15^7 = 85
Solve for a
a = 31.95
So, the exponential function is:
f(x) = 31.95 * 1.15^x
Substitute 14 for x
f(14) = 31.95 * 1.15^14
f(14) = 226.07
Hence, the value of f(14) is 226.07
Read more about exponential functions at:
https://brainly.com/question/11464095
This recipe makes 4 pancakes.
Sanjay follows the recipe but wants to make 12 pancakes.
How much of each ingredient does he need?
Recipe: Makes 4
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
2 tablespoons (tbsps) oil
Answer:
405g of flour, 3 teaspoons baking powder, 6 tablespoons sugar, 390ml of milk and 3 eggs and 6 tablespoons of oil
Step-by-step explanation:
She wants to triple the recipe, so she must multiply each amount of each ingredient by three:
135 × 3 = 405
1 × 3 = 3
2 × 3 = 6
130 × 3 = 390
1 × 3 = 3
2 × 3 = 6
if f(-3)=14 what would be the equation for f(x)
Answer:
Step-by-step explanation:
if quadratic
(-3)²+5=9+5=14
so f(x)=x²+5
or
if linear
(-3)+17=14
f(x)=x+17
if cubic
(-3)³-2(-3)²-3(-3)+14=14
f(x)=x³-2x²-3x+14
so on.
the ratio of the corresponding edge lengths of two similar solids is 4;9 what is the ratio of their volume ?
Answer:
Do the math
Step-by-step explanation:
If you do the math you get answer
how many part time and full time employees does the company have?
Answer:
there are 36 part time employees and there are 144 full time employees
Step-by-step explanation: multiply 45 by 4
then multiply 180 by 0.2 to get 36 and 180 by 0.8 and get 144
A student draws several cards from a deck of 10 unique cards.
Which of these statements are true?
Select all that apply.
There are 252 different ways that 5 cards can be drawn.
There are 120 different ways that 7 cards can be drawn.
There are 210 different ways that 4 cards can be drawn.
There are 240 different ways that 6 cards can be drawn.
There are 90 different ways that 8 cards can be drawn.
Answer:
There are 210 different ways that 4 cards can be drawn.
There are 252 different ways that 5 cards can be drawn.
There are 120 different ways that 7 cards can be drawn.
Step-by-step explanation:
Use the combination formula
10C4 =210
10C5 = 252
10C7 = 120
The points plotted below are on the graph of a polynomial. In what range of x- a values must the polynomial have a root? Check all that apply. A. -2 to -1 B. -1 to 0 C. -3 to-2 D. 1 to 2 E. -4 to -3 F. O to 1
hi i need help thank u so much
WORTH 5o points
Answer:
it will be 8 answer letter A
Answer:
A. 8
Step-by-step explanation:
From pythagoras theorem
10^2=6^2+x^2
100-36=x^2
sqrt 64=x
x=8
Solve For X.
6x + 9 - 4x = -3
Answer:
x = -6
Step-by-step explanation:
6x + 9 - 4x = -3
2x +9 = -3
2x = -12
x = -6
Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answer: the answer is 93.9
I hope this helps
Step-by-step explanation:
i know it its on k12
Answer:
93.9
Step-by-step explanation: I took the k12 test
Can Someone Assist Me Please? It would be much appreciated
Ya sure.... What's your doubt?
simplify the following 42÷7+14-4×5
Answer:
1
Step-by-step explanation:
42/7 + 14 - 4 × 5
7 + 14 - 4 × 5
7 +14 - 20
20 - 20
0
Answer:0
because 42 divided by 7 is 6 and 6 + 14 is 20 and 4 times 5 is 20 som then 20 -20 = 0
If line segment AB is 400%, what is the length of a line segment that is 100%?
the length of the line would be 1 inch