Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.
first, let's define the variables:
x = number of black sheep
y = number of white sheep.
We know that:
"there are 56 sheep"
Then we can write:
[tex]x + y = 56[/tex]
We also know that there are 6 times as many white sheep than black sheep, this means that:
[tex]y = 6 \cdot x[/tex]
Then we have a system of equations:
[tex]x + y = 56[/tex]
[tex]y = 6\cdot x[/tex]
To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.
Now we can replace that variable in the other equation:
[tex]x + y = 56[/tex]
[tex]x + 6\cdot x = 56[/tex]
Now we can solve this for x, the number of black sheep:
[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]
There are 8 black sheep.
If you want to learn more, you can read:
https://brainly.com/question/24374693
Which of the following rational numbers can be multiplied by two and result in a number greater than two?
A: 5/6 B:8/9 C:9/8 D: 11/12
$3000 is invested at 3% annual interest for 3 years.
a. Simple Interest b. Compound Interest
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
The dot plot shows the number of miles Jamal
biked
per
week for ten weeks.
What is the median number of miles that
Jamal bikes per week?
Answer:
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.^{}
ly/3a8Nt8n
3/10 of the beads in a jar are red, the rest are blue if there are 500 more blue beads than red, how many beads are together?
Answer:
1250 beads together.
Step-by-step explanation:
Blue beads = 7/10
If 500 more beads are blue, then 4/10 is 500.
To find how many beads there are altogether, we need to find 10 parts.
(10/4) x 500 = 1250 beads
Fill in the blank
7.5 cm =_ m
A. 0.0075
B. 0.075
C. 0.75
D. 750
What is the answer to this question?
Answer:
I dont know
Step-by-step explanation:
im trying to get brainly points lol
Find the surface area of the square pyramid:
Here's the solution,
Area of Square pyramid = Areas of triangles + Area of square base
and we know, the triangles have equal base and same height, so their areas will be equal
Area of each triangle :
=》
[tex] \dfrac{1}{2} \times 9 \times 7[/tex]
=》
[tex] \dfrac{63}{2} [/tex]
=》
[tex]31.5[/tex]
So, are of triangle = 31.5 ft²
since, there are four triangles ,
Area = 31.5 × 4
=》126 ft²
Area of square base = 9 × 9 = 81 ft²
Hence, Area of pyramid = 81 ft² + 126 ft²
=》207 ft²
A person walks 1/5 mile in 1/10 of an hour. What is mph?
Answer:
The person walked 1,056 feet in 6 minutes.
Mph 12
Which statement best describes the roots of the polynomial function
(Function in picture)
Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
You don't actually need to factor this, you can just use Vieta's formulas and deduce the answer by looking at the options.
It states that the product of the roots is equal to the constant over the coefficient of the highest degree term; in this case, it is 16/1=16.
If you take the product of the roots of each answer, you get (from top to bottom) 16, 4, -16, and -4, which means that only the first answer is correct.
Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
help me asap please help me help thank you
Answer:
H
Step-by-step explanation:
Area of a square is given as 16 unit²
Since formula of square is
A=l²
16=l²
l=√16
=4
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
Which number is equal to 74×7−3 ?
Answer:
515
Step-by-step explanation:
Answer:
511
Step-by-step explanation:
ur mom
Which of these statements is true for f(x) = 3 x 2^x
Answer: the y-intercept is (0,3)
Step-by-step explanation:
the y-intercept is (0,3)
When the new principal on a loan is $79,946.13 and the interest rate is 8 percent, the monthly payment is $587.20. Find the interest, the payment to principal, and the new balance. STEP 1: Find the interest.
9514 1404 393
Answer:
to interest: $532.97to principal: $54.23new balance: $79,891.90Step-by-step explanation:
The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.
$79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year
= $532.97
The interest amount in the first payment is $532.97.
__
The amount of the first payment that goes to principal is what is left after the interest is paid:
$587.20 -532.97 = $54.23 . . . amount to principal
__
The new balance is the previous balance less the amount to principal:
$79,946.13 -54.23 = $79,891.90 . . . new balance
Helpppppppppppppppppppp
Answer:
95°
Step-by-step explanation:
95°
They are vertical angles.
Answer:
95 degree write it fast jakakkaoaoa
pls help asap ill give brainliest
Answer:
Third one
Step-by-step explanation:
A support wire is being attached to a telephone pole as shown in the
diagram. To the nearest foot, how long does the wire need to be?
the answer is 4.565 JF$OFB#$UF
One-third of a number decreased by six equals eight. What is the number?
6
14
24
42
Answer:
The answer should be 42
Step-by-step explanation:
One-third of 42 is 14 if you subtract 6 from 14, you should get 8.
I need the answer real fast PLZ
Answer:
54%
Step-by-step explanation:
I did the test.
Charlie deposits $5,000 at his local bank and receives a 10% simple interest rate. How
much interest will Charlie have after 5 years?
Answer:
it is 11 years
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
GUYS I NEED UR HELP FOR A MATH PROBLEMS! PLEASE HELP ME! LOOK AT THE PIC AND PLEASE HELP IF U CAN!
Answer:
4.Answer. -2 or 1. By using cross multiplication..Like this.
(-2,,-4) and -11,-7) the slope is what
Answer:
I arrived at 1.5 following the formula
Someone just please help me no links no guessing seriously
Answer:
no I can't u just ruined my mood
I need help with number 4 someone please help !!
Answer:
50.27 if pi is 3.14
Step-by-step explanation:
Which of the following equations has a solution of x = -5?
Answer:
B
Step-by-step explanation:
16(-5) - 7 = 11(-5) - 32
-80 - 7 = -55 - 32
-87 = -87
-4(-5) - 10 = 2(-5) + 20
-30 ≠ 10
Answer:
c. Both A and B
Step-by-step explanation:
Let's solve the equations to find out.
Equation A
16x - 7 = 11x - 32
5x - 7 = -32
5x = -25
x = -5
So, Equation A has a solution of x = -5.
Equation B
-4x - 10 = 2x + 20
-6x - 10 = 20
-6x = 30
x = -5
And so does Equation B.
todd can ride 45 miles in 5 hours. write an equation to find m, the number of miles Todd can ride in h hours
7.5x(D-2.5)for D=3.5
Answer:
7.5xd - 18.75x
Step-by-step explanation:
Chloe is making a mural. She spends 6 hours designing it.
She paints it during 3 sessions. Each session is the same
number of hours long. In all, Chole spends 24 hours making
the mural. How many hours long, h, is each painting session?
Answer:
Chloe is making a mural. She spends 6 hours designing it.
She paints it during 3 sessions. Each session is the same
number of hours long. In all, Chole spends 24 hours making
the mural.
Step-by-step explanation:
Answer:
Each painting session is 6 hours long
Step-by-step explanation:
You can represent the situation with an equation.
3h+6=24
3h+6/3=24/3
h+2=8
h+2-2=8-2
h=6
Math Question: What value does the 2 represent in the number 52.3?
Answer:
The ones place
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $20 + $2h.
Which statement is correct?
Answer:
y= 20h + 2
its $20 times the hours for every 2 hours