Answer:
x = 21/10
Step-by-step explanation:
3/10 = x/7
Cross multiply.
10x = 21
x = 21/10
Answer:
x is 21/10
Step-by-step explanation:
3/10 = x/7
Multiply through by the LCM of 10 and 7 which is 70
we have
3/10 × 70 = x/7 × 70
21 = 10x
Divide both sides by 10
We have
21/10 = 10x /10
x = 21/10
Hope this helps you
Which statement is true about the slope of the graphed line?
Answer:
the slope is 2/5
Step-by-step explanation:
you always do rise over run
(I am not sure what your choices are but I hope this helps:))
-AC<3
Answer: Slope is positive just took this
Step-by-step explanation:
given that $1 = £0.72
a) how much is $410 in £
b) what is the £ to $ exchange rate
Step-by-step explanation:
a) $410 × £0.72 = £295.20
Please help! Which table represents a linear function? (will give brainliest)
Answer:
The fourth one
Step-by-step explanation:
Only the first one x and y interval 1, 2. The rest aren't linear.
Answer:
Step-by-step explanation:
it is the fourth one
Can you add and subtract integers and surds together?
For example:
1. 2-2√6= √6
2. 25+ 5√5 + 5√5 +5= 40√5
or are the above examples wrong?
Answer:
Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.
What is the area of triangle ABC?
3 square units
7 square units
11 square units
C 15 square units
Answer: 7 square units
Step-by-step explanation:
<!> Brainliest is appreciated! <!>
Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given expression is
[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]
We need to find the expression, which is equivalent to the given expression.
The given expression can be rewritten as
[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]
[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]
[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]
[tex]\dfrac{25a^9b^{10}}{6}[/tex]
Therefore, the correct option is D.
Answer:
The correct option is D
Step-by-step explanation:
4x+23=9x-7
Solve for x
Answer:
x = 6
Step-by-step explanation:
4x + 23 = 9x - 7
23 = 9x - 4x - 7
23 + 7 = 5x
30 = 5x
30 ÷ 5 = x
6 = x
x = 6
Match the solution set given in inequality notation with the solution set given in interval notation.
Answer:
x≤7.8 ⇒(-∞;7.8]
x<7.8 ⇒ (-∞;7.8)
x>7.8 ⇒ (7.8; ∞)
x≥7.8 ⇒ [7.8; ∞)
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
• x≤7.8
The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets
(-∞;7.8]
• x<7.8
All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)
(-∞;7.8)
• x>7.8
All the numbers higher than 7.8, open interval (parenthesis)
(7.8; ∞)
• x≥7.8
All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)
[7.8; ∞)
Answer:
Step-by-step explanation:
Plzzzzzzzz! A suitcase lock has a code 4 symbols long. The symbols on the lock are a star, a square, a circle, a triangle, a line, and a pentagon. What is the probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice? Enter your answer as a fraction in simplest form.
Answer:
[tex]\dfrac{1}{30}[/tex]
Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:
[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]
If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?
Answer:
Its B
Step-by-step explanation:
Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test
There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?
Answer:
number 1
Step-by-step explanation:
Required
1. A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?
30
60
80
50
Answer:
50
Step-by-step explanation:
d-nr of ducks
g- nr of goats
2*d+4*g=260
d+g=80 /*(-2)
2d+4g=260
-2d-2g=-160
------------------
2g=100
g=100/2
g=50
Answer:
50Option D is the correct option
Solution,
Let no.of ducks be X
Let no.of goats be y.
Total heads= X+y=80 ➡️ equation (i)
Total legs= 2x+4y=260➡️ equation (ii)
X= 80-y
[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]
Number of goats= 50
Hope this helps...
Good luck on your assignment...
13.555 to 1 decimal place
Answer:
13.6
Step-by-step explanation:
Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.
There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.
13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\
Hope this helps!
2. CHEMISTRY How many liters of 15% acid and
33% acid should be mixed to make 40 liters of 21%
acid solution?
Concentration
of Solution
Amount of
Solution (L)
Amount
of Acid
15%
33%
у
21%
40
Answer:
26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acidStep-by-step explanation:
Concentration Amount of Amount
of Solution Solution (L) of Acid
15% x 0.15x
33% y 0.33y
21% 40 0.21•40
x + y = 40 ⇒ x = 40 - y
0.15x + 0.33y = 0.21•40
0.15(40 - y) + 0.33y = 0.21•40
6 - 0.15y + 0.33y = 8.4
0.18y = 2.4
y = 13¹/₃
x = 40 - 13¹/₃ = 26²/₃
what is 76 over 9 divided by 14 over 3?
Answer:
38/21 or 1.80952381
Step-by-step explanation:
Answer:
(76/3) / 14 OR AROUND 9/5
Step-by-step explanation:
So I'm assuming this equation is (76/9) / (14/3)
We can solve this in a simple way instead of a hard way -->
9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)
76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5
Hope this helps!
Need help with this XY chart for coordinate points
Answer:
Y= -9, -4, 1, and 11
Step-by-step explanation:
You substitute in the numbers on the left (under x) into the equation to find y.
1. A bag contains 12 mangoes, of which 4 are not ripe.
What is the chance of picking at random a ripe mango from the bag ?
2. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
3. What is the number of all possible outcomes of tossing a fair die ?
4. A boy throws a fair die once. What is the probability of getting the number 4 ?
5. There are 10 red and 15 green balls in a bag.
Find the probability of selecting at random a red ball from the bag.
Answer:
1. 2/3 or 66.7%
2. 3/5 or 60%
3. 6
4. 1/6 or 16.7%
5. 2/5 or 40%
Step-by-step explanation:
I need help with this honestly
Answer:
D.(-4,-8) and(2,4)
Step-by-step explanation:
y=-2x
y=x²-8
this means that the two equations are equal because they both add up to y
thus; x²-8=-2x
formulae=Ax²+bx+c=0
x²+2x-8=0
find two numbers which multiplied will give you x² and when added will give you 2x that is x and x
x²+x+x-8=0
x(x+1)+1(x-8)=0
(x+1)(x-8)=0
1)x+1=0. x= -1
further explanation on answers1)y=-2x
y=-2(-1)=2
y=2
2)y=x²-8
y=1²-8= -8
y= -8
note*this means that the answer should have both 2 and -8 thus d is the answer
plzzzz help asap!!! marking brainiest!!!
Answer:
see below
Step-by-step explanation:
3 ^ ( 6/5)
The base a is 3
The power is 6 which is b
the root is 5 which is c
[tex]\sqrt[5]{3^6}[/tex]
Accessibility Text Size Aa Aa Aa Type your answers into the boxes. A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is 0.7 and the probability of it being green is 0.2. A prize is given if a red fish is picked out. What is the probability of Matt picking a red fish? (Give your answer as a decimal.) There are 60 fish in the fish bowl. How many of the fish are red?
Answer:
Step-by-step explanation:
Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.
the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is
1 - (0.7 + 0.2) = 0.1
If there are 60 fishes in the fish bowl, then the number of fishes that are red is
0.1 × 60 = 6 fishes
HELP! PLEASE I NEED HELP
Hello there! :)
Answer:
y = -4x.
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):
[tex]m = \frac{0 - 4}{0 - (-1)}[/tex]
Simplify:
m = -4.
Therefore, the equation of this line in slope-intercept form (y = mx + b) is:
y = -4x.
What is the y-intercept of y=1+6x? Choose 1 answer: (Choice A) A (0,1) (Choice B) B (1,0) (Choice C) C (6,0) (Choice D) D (0,6)
If fx=-4x2-3 please evaluate for f(8), listing the steps you take in order with their result. Find the inverse function f-1(x)
Answer:
A. -259
B. inverse function is 1/2 √(-x-3)
Step-by-step explanation:
Here, we want to find f(8)
Simply substitute x = 8 in the equation.
The equation is
f(x) = -4x^2 -3
So f(8) = -4(8)^2-3
f(8) = -256-3
f(8) = -259
Inverse of f(x) = -4x^2 -3
Simply equate this to m
m = -4x^2-3
-4x^2 = m + 3
x^2 = (m + 3)/-4
x^2 = -m/4 -3/4
x = √(-m-3)/4
x = 1/2√(-m-3)
Put back the value of x for m
x = 1/2 √(-x-3)
Find the gradient of the line l1 which has equation 4x-3y+5=0 .
Answer:
The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.
4x - 3y + 5 = 0
4x + 5 = 3y
4/3x + 5/3 = y therefore the answer is 4/3.
the picture is the question
Answer:
-4 points
Step-by-step explanation:
Since each incorrect answer is worth the same amount of negative points, use the equation below.
3x = -12 DIvide both sides by 3
x = -4 points
A horizontal translation is used to move quadrilateral onto quadrilateral Z ′. Use the drop-down menus to describe the horizontal translation used.
Answer:
10 to the left I believe
Step-by-step explanation:
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54
6% of $14.00=$0.84 so the total cost of shorts=$14.84
6% of $25.00=$1.50 so the total cost for soccer ball=$26.50
6% of $10.00=$0.60 so the total cost of shin guards=$10.60
$60.00+$104.94+$109.94+$115.54+$120.54=$510.96
36% of $510.96=$183.95 so the total cost of cleats=$694.91
694.91+$10.60+$26.50+$14.84=$746.85
$746.85+$5=$751.85
Answer:
its option d $120.54
Step-by-step explanation:
ALSOOOO a braddison shipper :)
A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was 53.50. Find the price of each shrub.
Answer:
Is $9
Step-by-step explanation:
$9 because you subtract 17.50 from 53.50 and you will get 36 and then divide by 4 which make it $9 a shrub
Which set of ordered pairs is not a function?
OA) (4, -2), (-2, 2), (2, -2), (4, 2)
OB, (-4, 2), (-2, 2), (2, 2), (4, 2)
OC) (-4, 2), (-2,-2), (2, 2), (4,2)
OD) (-4,-2), (-2,-2), (2, 2), (4,2)
Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)
Step-by-step explanation:
In 30 minutes, a television station plays 8.5 minutes of commercials and airs a cooking show for m minutes. Write an equation that gives the length of the cooking show that was aired during this 30-minute period. please help!!
Answer:
30-8.5=m
Step-by-step explanation:
You have to figure out how many minutes the ads were not playing, which is also how long the cooking show was playing, and to do this you simply subtract.