9514 1404 393
Answer:
z + y = 52; z - y = 10; z = 31; y = 21; $9.85 total
Step-by-step explanation:
The variables are defined in the problem statement. The equations could be ...
z + y = 52 . . . . . . total number of coins
z - y = 10 . . . . . . . 10 more quarters than dimes
These equations can be solved by adding them together.
(z +y) +(z -y) = (52) + (10)
2z = 62 . . . . . . . simplify
z = 31 . . . . . . . . . divide by 2
31 -10 = y = 21 . . . . find the number of dimes
There are 31 quarters and 21 dimes.
The value of the coins is ...
31($0.25) +21($0.10) = $7.75 +2.10 = $9.85
The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle
Answer:
The sidelength of the triangles is 6 feet and 8 feet.
Step-by-step explanation:
Given that,
The Hypotenuse of a right triangle = 10 feet
Let the shorter leg is x. It means the longer leg is (x+2).
For a right triangle,
Hypotenuse²=base²+perpendicular²
So,
[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]
The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.
Answer: -8 6
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!!!!!!!
I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that
Which of the following expressions could be used to find the perimeter of this figure?
P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)
Answer:
A
Step-by-step explanation:
four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:
P= 4(18mm) + 2(24mm)
A
Answer:
P = 4(18 mm) + 2(24 mm)
Step-by-step explanation:
?? Please help I’m confused
Answer:
the 4 would equal 16
the 2 would equal 4
To get this you would have to multiply the number by the scale factor of 4
4(4)=16
2(4)=8
--------------------------------------------------------------------------------
Hope this helps
Kareem recently purchased a car for $8,000. Kareem made a down payment of $3,000 and took out a loan for the balance of the car's worth. Kareem has $550 in his savings account, and also owes $300 on his credit card. Based on these facts, what is Kareem's net worth?
Answer:
$8,000.
+$3,000
= $11,000
The net worth of Kareem, if he satisfies the conditions given above, will amount to approximately $3,250. Therefore, the option B holds true.
What is the significance of net worth?A net worth of an individual can be referred to or considered as the total of the amount of monies owned by him or her in personal capacity. In simplest of the words, it can be said that the assets of a person are a forming part of his or her net worth.
In the conditions given above, we can ascertain Kareem's net worth as a total of his assets, i.e., the sum of down payment and balance in savings account less the liability of credit card.
3000 + 550 – 300 = $3,250.
Therefore, the option B holds true and states regarding the significance of the net worth of Kareem in the conditions given above.
Learn more about net worth here:
https://brainly.com/question/12294231
#SPJ2
The question seems to be incomplete. The complete question has been added for better reference of the students.
Kareem recently purchased a car for $8,000. Kareem made a down payment of $3,000 and took out a loan for the balance of the car's worth. Kareem has $550 in his savings account, and also owes $300 on his credit card. Based on these facts, what is Kareem's net worth?
A. Kareem's net worth is $3,000.
B. Kareem's net worth is $3,250.
C. Kareem's net worth is $3,300
D. Kareem's net worth is $3,500.
Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
Answer:
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the line
[tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
Step(ii):-
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
[tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]
Final answer:-
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
What’s the answer?!?!?
Answer:
24 inches
Step-by-step explanation:
You can see in the picture a triangle is formed where the sides are AB, BC, and AC.
The side lengths you have are AC = 16 and BC = 20.
You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:
[tex]16^2+b^2=20^2[/tex]
[tex]256+b^2=400\\b^2=144\\b=12[/tex]
This means that the length of AB = 12.
It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches
ayoo could someone please help me with my math?? multiple selection answer:)
Which of the following options represents an equation that can be used to solve for the missing side of a right triangle? Select all that apply.
Answer:
choice 1) a^2+b^2 = C^2
and
choice5) c = sq rt(a^2+b^2)
i need help ASAP please and thank you !!!!!!!
Answer: He would make $1,170 a week.
Step-by-step explanation:
He makes $400 a week.
$55 per appliance sold, he sold 14 appliances.
$55 x 14 = $770
$400 + $770 = $1,170
Hope this helps!:)
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
please help me quickly!
Answer:
1) 3:24
2) 3:24 and 3:25
Step-by-step explanation:
just look at the time given
Answer:
3:23 and 3:24
Step-by-step explanation:
Keith is 5 years older than Trina. Two times the sum of their ages is 62. Write and solve an equation to find Keith’s age.
Answer:
Trina is 13
Kieth is 18
Step-by-step explanation:
x + 5 = Kieth's age
Divide by 2 to separate the ages:
62 ÷ 2 = 31
Subtract the difference in ages:
31 - 5 = 26
Add the 5 years to Kieth's age:
31 + 5 = 36
Divide by 2 again, to eliminate the twice of their ages
26 ÷ 2 = 13
36 ÷ 2 = 18
Trina is 13
Kieth is 18
This is what i got. Sorry if i'm wrong, lmk if i am!
Hope this helps! Brainliest if i'm correct!?
SOLVE FOR BOTH K's PLS
Answer:
4 and -3 if im not wrong......
2xy +1 = 1
solve for x
Answer:
the answer of this question is 0
A. First, convert this equation into y-intercept form
y = 2x + 1
B. 2 is the slope: 1 is the y-intercept
Then, plug in 1 for y and solve
C. 1 = 2x + 1
Therefore, x is 0
Can someone please help I’ve been trying to solve this for a while and can’t so if you’d like to help me feel free to! :)
Answer:
The product means multiply
The second one: 5x=15
Step-by-step explanation:
Hope that helps!!!!!
. Which statement about the
function y=-3x – 2 is true?
A. As the value of x increases, the value of y increases.
B. As the value of x decreases, the
value of y stays the same.
C. As the value of x increases, the value of y decreases.
D. As the value of x decreases, the value of y decreases.
Answer:
C. As the value of x increases, the value of y decreases.
Step-by-step explanation:
The slope is -3. Negative slope means:
As y increases, x decreases.
Therefore:
As y decreases, x increases.
A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?
Answer:
18ft x 20ft
Step-by-step explanation:
(I'm kinda in a rush so I can't explain right now, sorry!)
Hope that helped though :)
The actual dimensions of the house is 18 feet by 20 feet.
Scaling is used to either increase or decrease the size of a figure to create an image.
Given that a scale of 6cm to represent 12 ft. Hence:
9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.
10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.
The actual dimensions of the house is 18 feet by 20 feet.
Find out more on scaling at: https://brainly.com/question/25324744
Determine the area, in square units, of the triangle below. Round your answer to one decimal place.
1.53
26°
1.22
Answer:
Area =0.41 units^2
Step-by-step explanation:
sin 26 degrees=height/1.53
height=.438371 x 1.53=0.67
Area =(1/2)(0.67)(1.22)=0.41 units^2
Allan's father is 120% of Allan's height. If his father is 180cm, how tall is Allan?
Answer:
Allan is 150cm tall.
Step-by-step explanation:
120% of 150 is 180.
So, the answer is 150cm
Hope this helps! :)
What’s equals x
-9t + 2 = 56
Find the area of the trapezoid a21 b22.50 c11.25 d42
What is the value of 3(x - y) if x = 9 and y = -2*
Answer:
33
Step-by-step explanation:
1. 3(x - y)
2. 3(9 - -2)
3. 3(9 + 2)
4. 27 + 6
5. 33
[tex]3(x - y)[/tex]
where x = 9 and y = - 2.
Substitute x = 9 and y = -2 in.[tex]3(9 - ( - 2)) \\ 3(9 + 2) = 3(11) \\ 33[/tex]
Hence, the answer is 33.
Answer[tex] \large{33}[/tex]
porfavor ayúdame no entiendo esto trabajó
* en el siguiente problema anteriormente en la unidad ahora utiliza el proceso de seis pasos para resolver problemas deberá configurar un sistema de ecuaciones utilicé un enfoque gráfico para resolver sistemas.
* tienes 14 monedas en tu bolsillo que son 25 centavos o 5 centavos el valor total de las monedas es de $2.50 ¿ cuantas monedas de cada tipo tienes?
Jason drives 15 miles in 10 minutes. If he drove one hour in total at the same rate how far did he go
9t + 21t - 8
It needs to be factored
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer: 20
Step-by-step explanation:
First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:
= 3 × 12 = 36 inches.
Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:
= 3 feet / 9 inch
= 36 inches / 9 inches
= 4 pieces
Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:
= 4 × 5
= 20 pieces
jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?
Which inequality represents the stated situation : A theater is made to receive no more than 750 spectators. Group of answer choices
Answer:
C. s ≤ 750
Step-by-step explanation:
A. s≥750
B. s=750
C. s≤750
D. s<750
'no more than' in inequality means "less than or equal to"(≤) which means that the quantity could be less than or equal to.
From the question given, the theater can only receive less than 750 spectators or 750 spectators but no more than 750 spectators
The statement can be represented by the inequality;
s ≤ 750
Where
s means spectators
a class of 60 voted for class president. 30% voted for Brad and 70% voted for Jane. How many votes did the winner get?
Answer:
Jane got 42 votes.
Step-by-step explanation:
Step 1: Put 70% into decimal.
0.7
Step 2: Multiple the class of 60 by 0.7 to get the winner's votes:
42
The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter receive?