Answer:
(4, 1 )
Step-by-step explanation:
x + 6y = 10 → (1)
x + 5y = 9 → (2)
subtract (2) from (1) term by term to eliminate x
0 + y = 1
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
x + 6(1) = 10
x + 6 = 10 ( subtract 6 from both sides )
x = 4
solution is (4, 1 )
a circle is enlarged. the original had a radius of 10 cm. if the new circle has a radius of 30 cm, how many times bigger is the new circumference than the original?
Answer:
3 times bigger
Step-by-step explanation:
[tex]circumference \: of \: a \: circle \: has \: the \: formular \\ c = 2\pi \: r \\for \: the \: original \: circle \: c = 2 \times 3.14 \times 10 = 6.28 \\ = 63 \: approxiately \\ for \: the \: new \: circle \: c = 2 \times 3.14 \times 30 = 188.8 \\ = 188 \: approximately \\ them \: \frac{188}{63} =2.984 \\ = 3 \: approximately \\ therefore \: the \: bigger \: circumferene \: is \: 3 \: times \: the \: smaller \: circumference[/tex]
100 BRAINLY POINTS!!!
Kayla recorded her baby sister's height, y, in inches, each month, x. The scatterplot shows her results.
Kayla modeled the data approximately with the linear function y = 0.75x + 15. What does the slope of the line represent?
A. Her sister grew about 15 inches each month.
B. Her sister grew about 1 inch every 15 months.
C. Her sister grew about 0.75 inch each month.
D. Her sister grew about 1 inch every 0.75 month.
PLEASE HELP ME CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
C. Her sister grew about 0.75 inch each month.Step-by-step explanation:
Given function:
y = 0.75x + 15The function is linear and it represents:
y - current heigt of babyx - number of months passed0.75 - the slope is the monthly growth rate15 - the y-intercept, is the initial height of babyAccording the above explanation the correct answer choice is C
Slope intercept form of a line is given by y=mx+b
Compare to our given function
y=0.75x+15Here
Slope=m=0.75As it's about height
The rate of change in height is denoted here
Option C is correct
if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)
Answer:
f(5)=26
Step-by-step explanation:
hello :
f(n)=f(n-1)+4 means : f(n)-f(n-1)=4 (comon diference for arithm - sequence)
so : f(n) =f(1)+(n-1)×4
f(n) =10+(n-1)×4
f(n) = 4n+6
f(5) = 4(5)+6 =26
8 times what equals 64
Answer:
8
Step-by-step explanation:
The required, following the given condition of the equation model, 8 times 8 equals 64.
We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.
To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:
8x = 64
(8x) / 8 = 64 / 8
Simplifying, we have:
x = 8
Therefore, 8 times 8 equals 64.
Learn more about the equation here:
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Ashley is riding her bike to train for a triathlon and so far has traveled 96 miles.
She is riding at an average rate of 15 miles per hour.
Calculate the time that she has been riding her bike in hours.
Answer:
hours
Note: Write the answer in decimal form.
Answer:
6.4
Step-by-step explanation:
she has been riding her bike for 6.4 hours.
5. A triangle with a perimeter of
8 is dilated by a scale factor
of 2. What is the perimeter
of the new triangle?
Step-by-step explanation:
a scale factor normally applies to lengths (one-dimensional sizes).
the perimeter of a triangle is calculated only by using lengths, so we can apply the scaling factor directly to the perimeter.
perimeter of the new triangle = 2 × perimeter of the old triangle = 2×8 = 16
Which expression is equal to (x + 3)^2
or 50,000 registered voters, 400 were randomly surveyed. their voting preferences are listed the table below, predict how many of the registered voters would vote for mulroney.
Answer: 12,500
Step-by-step explanation:
Since 25% voted for Mulroney, we will find 25% of 50,000.
25% -> 0.25
0.25 * 50,000 = 12,500
I predict that 12,500 registered voters would vote for Mulroney.
From the observation deck of a skyscraper, Jack measures a 67 angle of depression to a ship in the harbor below. If the observation deck is 903 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
Step-by-step explanation:
From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary
========================================================
Explanation:
The drawing is shown below.
Notice that 23 + 67 = 90, or you could say 90-67 = 23.
Use the tangent ratio to find x.
tan(angle) = opposite/adjacent
tan(23) = x/903
x = 903*tan(23)
x = 383.300759 approximately
x = 383.30
What is the value of t?
t = 180 - 66 - 57 = 57°
Express a in terms of c and p 4(2a+p) = c+p+a
Answer:
[tex]\frac{c-3p}{7}[/tex]
Step-by-step explanation:
1) 4(2a+p)=c+p+a
2) Expand: 8a+4p=c+p+a
3) subract a and 4p: 7a=c-3p
4) Divide: a=[tex]\frac{c-3p}{7}[/tex]
Answer provided by Education Point
Please help with equivalent ratios
Answer:
The price for each pound of tuna is not always the same.
Step-by-step explanation:
What we do is divide the price by the amount of tuna to find the price for each amount of tuna
For the 1st one, we have $8 for 2 tuna so we do 8/2
8/2 = 4
For the 2nd we have $16 for 4 so we do 16/4
16/4 = 4
For the 3rd, we have $27 for 9 so we do 27/9
27/9 = 3
Please help simplify fractions
Answer:
this is easy the a sewer is 12
solve ps brainliest!
Answer:
W = 17
Step-by-step explanation:
Hi! Ok so the equation is: 24=2w-10
24=2w-10 First add =10 to each side
10+24= 2w +10 -10 the tens on the right cancel.
34=2w then divide each side by negative two
(34/2)=(2/2)w can be simplified to 17=w
my brother wants answers and im too lazy lol but nigel has 2 dogs. one eats 2 1/2 pounds of food each week. the other eats 1 3/8 pounds each week. together how much do the dogs eat each week
Answer:
3 7/8 would be your answer
can someone please help!!
I need the answer and explanation. Pls don’t waste my points
Answer:
13 [tex]\frac{1}{3}[/tex]% are green
Step-by-step explanation:
totalling the marbles
red = 6
blue = 7
green = 4
orange = 13
total marbles = 6 + 7 + 4 + 13 = 30
fraction of green marbles = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]
To change a fraction to a percentage multiply the fraction by 100%
[tex]\frac{2}{15}[/tex] × 100% = 0.1333.. × 100% = 13.33 % = 13 [tex]\frac{1}{3}[/tex]%
A line has a zero slope and passes through the point (4,-9). What is the equation of the line?
(No links please, just a simple answer)
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.
ella wrote 8 more stories than anna. Is it a word phrase or scenario
scenario - as it describes the story and the character's action.
Ella wrote 8 more stories than Anna in the fifth grade.
let s, be the number of pages Anna wrote.
Expression:
s + 8
Rewrite the expression as the sum of two numbers. 4(5 + 8) A) 2(13) B) 9 + 32 C) 9 + 12 Eliminate D) 20 + 32
Answer:
D.
Step-by-step explanation:
4(5 + 8)
= 4*5 + 4*8
= 20 + 32
How many fluid ounces are in 12 1/4 cups
I got this question wrong and I need help.
Answer:
the answer is A. 2
Step-by-step explanation:
4x+2 has to be half of 2x+16
then 4x+2=10 and 2x+16=20 therefore it is correct
rate brainiest
Mr. Jones has a cylindrical water storage
tank. The tank has a diameter of 6 feet and
a height of 12 feet. Mr. Jones wants to
paint the tank but since the tank rests on a
concrete slab, he will not need to paint the
bottom of the tank. How much paint will
he need to paint the water storage tank?
Answer:
254.47sqft (square feet) of paint
Step-by-step explanation:
The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.
HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
Answer:
(0, 0) : traveling 0 inches in 0 seconds
(1, 1.5) : traveling 1.5 inches in 1 second
(3, 4.5) : traveling 4.5 inches in 3 seconds
The unit rate is
1.5 inches a second
1.5 / 1 i think thats how you write it
Draw the graph of y = 3x - 1 on the grid use the graph to estimate y when x = 2.5
Answer:
6.5
Step-by-step explanation:
all you have to do is substitute x with 2.5 in the equation and you can find y.
WILL GIVE BRAINLIEST TO BEST ANSWER, THANKS, 5 STARS!
PLEASE HELP!!
What are the zero(s) from the function f(x)=-4x^2-16x-12
(Select all that apply)
(4,0)
(-12,0)
(-4,0)
(1,0)
(-3,0)
(-1,0)
(3,0)
Answer: (-3, 0) and (-1, 0)
Step-by-step explanation:
[tex]-4x^2-16x-12[/tex]
[tex]\mathrm{Rewrite\:}-16\mathrm{\:as\:}-4\cdot \:4[/tex]
[tex]\mathrm{Rewrite\:}-12\mathrm{\:as\:}-4\cdot \:3[/tex]
[tex]=-4x^2-4\cdot \:4x-4\cdot \:3[/tex]
[tex]\text{Factor out common term -4}[/tex]
[tex]=-4\left(x^2+4x+3\right)[/tex]
[tex]x^2+4x+3[/tex]
[tex]=\left(x^2+x\right)+\left(3x+3\right)[/tex]
[tex]=x\left(x+1\right)+3\left(x+1\right)[/tex]
[tex]\mathrm{Factor \ out \ common \ term \ x+1}[/tex]
[tex]=\left(x+1\right)\left(x+3\right)[/tex]
[tex]=-4\left(x+1\right)\left(x+3\right)[/tex]
Roots:
x + 3 = 0 and x + 1 = 0
x = 0 - 3 x = 0 - 1
x = -3 x = -1
Therefore, the zeroes of the function are (-3, 0) and (-1, 0)
Help please cus I don't know.
Answer:
114
Step-by-step explanation:
just add all sides together.
Answer:
91 cm
Step-by-step explanation:
Perimeter is adding all of the side lengths:
8+32+10+10+4+4+23=91
Don't forget to add the unit:
91 cm
You are taking a trip at the same time as another
family. Your family traveled 1,900 miles in 2 days,
their family traveled 2,700 miles in 3 days. Who is
traveling faster?
Answer:
1,900 miles in 3 days is going fast than 2,700 miles in 3 days
Step-by-step explanation:
1,900 divided by 2 is = 950
2,700 miles divided in 3 days is = 900
Answer:
your family traveled faster
Step-by-step explanation:
your family traveled 1,9000 miles in 2 days and to find speed you need to divide 1,900 by 2 (answer is 950)
do the same for 2,700 and 3 (900 is answer)
compare the two and you have your answer!
Hope this helps and that you have a wonderful evening/day!
Find the common ratio of the geometric sequence -4,12,-36
Answer:
-3
Step-by-step explanation:
a= -4
So the first and second should be multiply together
first=-4
second=12
12/-4=-3
PLEASEE HELPP!!!
What is the mistake in setting up the quadratic formula?
Answer:
First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
That 6 should be -6
Let me solve it for you
[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]
So
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]
R Given:07F = FRY: RFY: LFY
Prove: AFRY:ΔFLY
STATEMENT REASON
YLF =FRY. 23.
RFY=LFY. GIVEN
FY=FY(underlined) 24.
ΔFRY=ΔFLY. 25.
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
What is the AAS Congruence Theorem?The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.
To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
Learn more about the AAS Theorem on:
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