MULTIPLE CHOICE:
Jen and David owe $21,000 in loans for their two cars. The amount of the loan for Jen's car is $2,000 less than twice the amount of the loan for David's car. How much is each car loan? (Let j represent the amount of Jen's loan and let d represent the amount of David's loan.)
A. d + j = 21,000
2d − 2,000 = j
B. j + d = 21,000
2j − 2,000 = d
C. j + d = 21,000
2j + 23,000 = d
D. j + d = 2,000
2j − 21,000 = d
E. d + j = 2,000
2d − 21,000 = j
9514 1404 393
Answer:
A. d + j = 21,000; 2d − 2,000 = j
d = $7,666.67; j = $13,333.33
Step-by-step explanation:
The relationships given in the problem statement are ...
d + j = 21,000 . . . . . the total of the two loans is $21,000
2d -2000 = j . . . . . . Jen's is $2000 less than twice David's
__
These equations can be solved by substituting for j:
d +(2d -2000) = 21000
3d = 23000 . . . . . . . . . . . add 2000, collect terms
d = 23000/3 = 7666.67 . . . divide by the coefficient of d
j = 21000 -d = 21000 -7666.67 = 13333.33
Jen's loan is $13,333.33; David's loan is $7,666.67.
One angle of a triangle measures 112°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is = 180.
The congruent angles each measure
pls help
Answer:
Each of the congruent angles is 34
Step-by-step explanation:
A = 112 A is the given angle
A + x + x = 180 A + x + x = 180 All triangles have 180 degrees
112 + x + x = 180 Combine
112 + 2x = 180 Subtract 112 from both sides
112-112 + 2x = 180 - 112 Combine
2x = 68 Divide both sides by 2
2x/2 = 68/2
x = 34
Help Asap! I will give brainliest
Hello! I really need help on these two questions please!
Answer:
1. y-4=1/3(x-3)
used (3,4)
2. y-7=3(x-3)
used (3,7)
NO LINKS OR ASSESSMENT!!!
Part 1: Domain and Range of Graphs
Domain:
- 5 < x < 5 or x ∈ (-5, 5)Range:
-5 < y < 5 or y ∈ (-5, 5)Function:
YES - passes the vertical line test#3Domain:
- 5 < x ≤ 5 or x∈ (-5, 5]Range:
-3 < y ≤ 2 or y ∈ (-3, 2]Function:
YES - passes the vertical line test#5Domain:
- 5 < x < 3 or x∈ (-5, 3)Range:
0 < y < 4 or y ∈ (0, 4)Function:
N0- doesn't pass the vertical line testWhat is 98,248 written as a number name?
Answer:
ninety eight thousand two hundred forty eight
Answer:
Ninety-eight-thousand-and-two-hundred-and-forty-eight
Step-by-step explanation:
please help
the answer is not 16
Answer:
18
Step-by-step explanation:
Donna Forrester's gross pay is $72,500 a year. The state income tax is 6% of
taxable wages. Donna takes a married exemption of $4,000 for herself and her
husband. How much is withheld from her gross earnings for state income tax
for the year?
A.$4,350
B.$4,110
C.$4,590
D. $3,870
I have no idea to be honest with you
Answer:
Choice BStep-by-step explanation:
Cuz I'm smart :)
Hope this helps :]
pls make brainliest :3
and have an amazing day <3
6th grade students took a survey on their favorite subject.
The ratio of students whose favorite subject was Science to
students whose favorite subject was Math was 3:5. If 238
more students picked Math as their favorite subject, how many
students picked Science as their favorite subject?
Using a system of equations, it is found that 595 students picked Science as their favorite subject.
For our system, we suppose that x is the number of students that picked science, and y is the number of students that picked math.
Ratio of science to math of 3:5, thus:
[tex]\frac{x}{y} = \frac{3}{5}[/tex]
Then
[tex]5x = 3y[/tex]
[tex]x = \frac{3y}{5}[/tex]
238 more students picked Math as their favorite subject, thus:
[tex]y = 238 + x[/tex]
[tex]y - \frac{3y}{5} = 238[/tex]
[tex]\frac{2y}{5} = 238[/tex]
[tex]y = \frac{238(5)}{2}[/tex]
[tex]y = 595[/tex]
595 students picked Science as their favorite subject.
A similar problem is given at https://brainly.com/question/21244414
Solve 31-X + (2 x + 1)] = x - 1.
Answer:
x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)
Step-by-step explanation:
31 - X + (2x+1) = x - 1
or, 2x+1 = x - 1 - 31 + X
or, 2x - x = -1 -31 + X -1
or, x = -2 -31 + X
or, x = X - 33
Why do people hate math?
Leo is traveling to Canada for work. He is taking $2,400 with him that he wants to
convert to Canadian dollars. If the current exchange rate is 1 U.S. dollar is equal to
1.33 Canadian dollars, how many Canadian dollars will he have when he converts
his money?
2, 400 Canadian dollars
3,000 Canadian dollars
3,192 Canadian dollars
1,084 Canadian dollars
Answer:
C) 3,192 Canadian dollars
Step-by-step explanation:
$2,400 x 1.33 = $3,192
If 1040-x=3y and x-880=y what is y
HELP FAST
y = x - 880 ==》 x = y + 880 ( ☆ )
_________________________
3y = 1040 - x =☆=》 3y = 1040 - ( y + 880 )
====》 3y = 1040 - y - 880
====》 3y + y = 1040 - 880
====》 4y = 160
====》 y = 160 ÷ 4
====》 y = 40
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary,
$7.30 is what percent of $58.20?
In accordance with the query, we have 12.6% of $58.20. The closest tenth of one percent.
What percentage is 20%?It really is 100 * 20 / 100 = 20percent . In this circumstance, percentages are useful. When describing a change from one % to another, we use percentage points. The difference between 10% and 12% is four percent respectively (or 20 percent).
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary, we have following :
$7.30 is what percent of $58.20.
rate = (7.30 / 58.20) * 100
rate = 0.126034483 * 100 = 12.6%
Rounding to the nearest tenth of a percent, the rate is 12.6%.
So $7.30 is 12.6% of $58.20.
To know more about Percent visit :
https://brainly.com/question/28670903
#SPJ1
plz help me i really need help these problems are really hard for me to understand so if anybody helps it would be highly appreciated
Answer:
51.5; the originStep-by-step explanation:
TranslationFor the translation find the distance between corresponding points of A and A'. It is 5 units.
DilationWe see the figures A' and A'' are symmetrical and the sides on the x-axis overlap. It means the center of dilation is the origin, the point (0, 0).
Find the scale factor by dividing the corresponding x- or y- coordinate of A'' to the one of A'.
Take points (-2, 0) of A' and (-3, 0) of A''.
The scale factor is:
k = -3/-2 = 1.5So what’s the easiest way to get the answer? 80 = 720 divided by?
Answer:
57,600
Step-by-step explanation:
720 * 80 = 57,600
Answer:
9
Step-by-step explanation:
You divide the answer with the first number and you'll get the answer, 9.
Absolute value of -2
Help asap please.. Brainliest to correct!
Answer:
Step-by-step explanation:
x + 6 I x³ + 2x² - 10x + 84 I x² - 4x + 14
x³ + 6x²
- -
-4x² - 10x
-4x² - 24x
+ +
14x + 84
14x + 84
- -
0
P(x) =(x +6)* ( x² - 4x + 14) + 0
Give the slope of the graph and the unit rate. Express your answers as simplified fractions, if necessary.
Jorge: 5 miles every 7 hours
Answer:
The slope of the graph is 7/10
PLZ HELP ME!! GUYS i need help on my homework!!
Answer:
The answer is 24
Step-by-step explanation:
Answer:
The answer is 24 or D
Step-by-step explanation:
Well, first you need to figure out the equation in these [ ].
[-5 (2-4) ÷ 2]
[-5 (-2) ÷ 2] ---> -5(-2) = -5 x -2
[10 ÷ 2]
[5]
Then, you need to complete the equation in these { }
{3+[5]} OR {3+5}
{8}
Then, you need to finish the equation!
{8} · 3 OR 8 x 3
24__________________________
Hope this helped!
A figure has been dilated from center O by a scale factor of r = 3/10 scale factor would magnify the dilated figure back to the original size?
Answer: The new scale factor needs to be 10/3
Explanation:
Consider a line segment that is 10 units long. Apply the scale factor 3/10 to it, and now it's 3 units long because (3/10)*10 = 3.
To get it back to 10 units, we multiply by the scale factor 10/3 which is the reciprocal of the original scale factor. Note that (3/10)*(10/3) = 1. Those two scale factors multiply to 1 to indicate no change has been made overall.
Through (4, -3); perpendicular to 3y = x-6
Answer:
its=> 3×4=-3-6(use a caculator now)
If f(x)=x^2+x, find f(-3)
Answer:
f(-3) = (-3)^2 + (-3) = 9 - 3 = 6
Answer:
I believe the answer is 6
Step-by-step explanation:
1) If f(-3), x is equal to -3 ( I think )
2) f(x) = -3^2 + (-3)
3) f(x) = 9 - 3
4) f(x) = 6
The answer is f(x) = 6
Solve the following inequality: -3x > 6 or 2x + 3 > 9
Answer:
I think the first one is x < 2 and the second is x > 3
which is greater? -1 17/20 or -1 8/10
PLSSS HELP ASAP
PLSSS SHOW WORK ASWELL
Answer:
-18/10
Step-by-step explanation:
I think that is correct
Answer:
1 17/20
Step-by-step explanation:
if you × 8/10 it by 2 = 16/10
See photo attached (NEED SOON)
Answer:
3 mStep-by-step explanation:
The formed triangles are similar and the ratio of corresponding sides is equal:
x/4 = 9/12x/4 = 3/4x = 3 mThe light source should be at 3 m height
Both triangles are congruent so
[tex]\\ \bull\sf\longmapsto \dfrac{x}{4}=\dfrac{9}{12}[/tex]
[tex]\\ \bull\sf\longmapsto 12x=36[/tex]
[tex]\\ \bull\sf\longmapsto x=3[/tex]
Light source should be at 3m
what is the slope of (29,11) and (-3,-7)
Answer:
The slope is [tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.
The slope can be calculated from two points with the slope formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
We have two points given, but let's label their values to avoid any confusion when we actually calculate:
[tex]x_1=29\\y_1=11\\x_2=-3\\y_2=-7[/tex]
Now substitute into the formula (m is the slope).
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-7-11}{-3-29}[/tex]
Subtract
m=[tex]\frac{-18}{-32}[/tex]
Reduce the fraction
m=[tex]\frac{9}{16}[/tex]
The slope is [tex]\frac{9}{16}[/tex]
Hope this helps!
Find x ASAP you’ll get lots of points
Answer:
x=4
Step-by-step explanation:
Its an equilateral triangle so all angles and side lengths are the same.
2x-1=x+3
x=3+1
x=4
checking the work
4+3=8-1
7=7
the area of a triangle is 54cm². if the height of the triangle is 6cm, find it's base.
Answer:
18cmStep-by-step explanation:
triangle area = b*h/2
base = 2*area : h
2 * 54 : 6 =
18
-------------------------------------
18*6:2= 54
the answer is good
Hi, need help on this please, will give 5 stars and a thanks if you get it correct (:
Answer:
Move the decimal point in 407.26 three places to the left = 0.407283
Step-by-step explanation:
Answer:
3, left
Step-by-step explanation:
When you're dividing a number by any power of 10 that is a whole number (10, 100, 1000, etc.), you move the decimal point to the left as many times as there are zeroes in the digit.
Examples:
30.22 ÷ 100 = 0.3022
There are two zeroes in 100, so move the decimal point two spaces to the left.
568.9 ÷ 10000 = 0.05689
There are four zeroes in 10000, so move the decimal point four spaces to the left.
The given equation in the problem is 407.26 ÷ 1000, so you move the decimal point 3 spaces to the left to find the correct answer.